CMD_FSCH_DMAT_Syllabus

1 | Syllabi of the DMAT Curricula | |||||||||
---|---|---|---|---|---|---|---|---|---|---|

2 | ||||||||||

3 | ||||||||||

4 | ||||||||||

5 | ||||||||||

6 | ||||||||||

7 | ||||||||||

8 | ||||||||||

9 | ||||||||||

10 | ||||||||||

11 | ||||||||||

12 | ||||||||||

13 | ||||||||||

14 | ||||||||||

15 | ||||||||||

16 | ||||||||||

17 | ||||||||||

18 | ||||||||||

19 | ||||||||||

20 | ||||||||||

21 | ||||||||||

22 | ||||||||||

23 | ||||||||||

24 | ||||||||||

25 | ||||||||||

26 | ||||||||||

27 | ||||||||||

28 | ||||||||||

29 |

1 | Koya University - Faculty of Science and Health - Course Syllabus | Koya University - Faculty of Science and Health - Course Syllabus | |||||||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|

2 | |||||||||||||||||||||

3 | Academic year: | 2016-2017 | Course Title: | Numerical Analysis (Theory) | Hrs: | 3 | Academic year: | 2016-2017 | Course Title: | Numerical Analysis (Practical) | Hrs: | 2 | |||||||||

4 | Teacher's name: | Osama Tawfik Mohammed | Course Code: | NAN6315 | Units: | 8 | Teacher's name: | Osama Tawfik Mohammed | Course Code: | NAN6315 | Units: | 8 | |||||||||

5 | Teacher's Academic Degree: | M.Sc. | Study System: | Year | Stage | 3 | Teacher's Academic Degree: | M.Sc. | Study System: | Year | Stage | 3 | |||||||||

6 | Teacher's Academic Title: | Assistant Lecturer | e-mail: osama.tawfik@koyauniversity.org | Dept. | DMAT | Teacher's Academic Title: | Assistant Lecturer | e-mail: osama.tawfik@koyauniversity.org | Dept. | DMAT | |||||||||||

7 | |||||||||||||||||||||

8 | No. | Weekly Subject Title | Status | %Coverage | Short Comment | No. | Weekly Subject Title | Status | %Coverage | Short Comment | |||||||||||

9 | 1 | Review of some of Calculus definitions | Completed | 100.0% | 1 | Introduction to MATLAB | Completed | 100.0% | |||||||||||||

10 | 2 | Types of errors : absolute error & relative error | Completed | 2 | If Statements | Completed | |||||||||||||||

11 | 3 | Error Resources | Completed | 3 | Loops | Completed | |||||||||||||||

12 | 4 | Assigning the positions of the roots. | Completed | 4 | Functions | Completed | |||||||||||||||

13 | 5 | Bisection method. | Completed | 5 | MATLAB function of Bisection method | Completed | |||||||||||||||

14 | 6 | False Position Method | Completed | 6 | MATLAB function of False Position Method | Completed | |||||||||||||||

15 | 7 | Newton-Raphson Method | Completed | 7 | MATLAB function of Newton-Raphson Method | Completed | |||||||||||||||

16 | 8 | Fixed Point Method | Completed | 8 | MATLAB function of Fixed Point Method | Completed | |||||||||||||||

17 | 9 | Fixed Point Method for Solving System Of Non-Linear Equations AX=B | Completed | 9 | MATLAB function of Fixed Point Method for Solving System Of Non-Linear Equations AX=B | Completed | |||||||||||||||

18 | 10 | Newton's Method for Solving System Of Non-Linear Equations AX=B | Completed | 10 | MATLAB function of Newton's Method for Solving System Of Non-Linear Equations AX=B | Completed | |||||||||||||||

19 | 11 | Gauss Elimination Method | Completed | 11 | MATLAB function of Back Substitution | Completed | |||||||||||||||

20 | 12 | Continue | Completed | 12 | MATLAB function of Gaus Elimination Method | Completed | |||||||||||||||

21 | 13 | Gauss-Jordan Method | Completed | 13 | MATLAB function of Gauss-Jordan Method | Completed | |||||||||||||||

22 | 14 | LU Factorization Method. | Completed | 14 | MATLAB function of LU Factorization Method. | Completed | |||||||||||||||

23 | 15 | Doolitle-Method | Completed | 15 | MATLAB function of Doolitle Method | Completed | |||||||||||||||

24 | 16 | Jacobi Method. | Completed | 16 | MATLAB function of Jacobi Method. | Completed | |||||||||||||||

25 | 17 | Gauss-Seidel Method | Completed | 17 | MATLAB function of Gauss-Seidel Method | Completed | |||||||||||||||

26 | 18 | Interpolation | Completed | 18 | MATLAB function of Interpolation | Completed | |||||||||||||||

27 | 19 | Lagrange interpolating polynomial | Completed | 19 | MATLAB function of Lagrange interpolating polynomial | Completed | |||||||||||||||

28 | 20 | Trapezoidal Rule | Completed | 20 | MATLAB function of Trapezoidal Rule | Completed | |||||||||||||||

29 | 21 | Simpson's Rule | Completed | 21 | MATLAB function of Simpson's Rule | Completed | |||||||||||||||

30 | 22 | Euler Method | Completed | 22 | MATLAB function of Euler Method | Completed | |||||||||||||||

31 | 23 | Improved Euler Method | Completed | 23 | MATLAB function of Improved Euler Method | Completed | |||||||||||||||

32 | 24 | Fourth-Order Runge-Kutta Method | Completed | 24 | MATLAB function of Fourth-Order Runge-Kutta Method | Completed | |||||||||||||||

33 | 25 | Curve Fitting by Least Squares Approximations: Fitting a line & Parabola | Completed | 25 | MATLAB function of Fitting a line & Fitting A Parabola | Completed | |||||||||||||||

34 | 26 | Fitting An Exponential & Geometrical Curves | Completed | 26 | MATLAB function of Fitting an Exponential & Geometrical Curve | Completed | |||||||||||||||

35 | 27 | Finite Difference Methods | Completed | 27 | Using MATLAB Curve Fitting Toolbox | Completed | |||||||||||||||

36 | 28 | continue | Completed | 28 | continue | Completed | |||||||||||||||

37 | |||||||||||||||||||||

38 | |||||||||||||||||||||

39 | |||||||||||||||||||||

40 | |||||||||||||||||||||

41 | |||||||||||||||||||||

42 | |||||||||||||||||||||

43 | |||||||||||||||||||||

44 | Teacher's signature | Head of Dept. signature | Teacher's signature | Head of Dept. signature | |||||||||||||||||

45 | |||||||||||||||||||||

46 | |||||||||||||||||||||

47 |

1 | Koya University - Faculty of Science and Health - Course Syllabus | Koya University - Faculty of Science and Health - Course Syllabus | |||||||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|

2 | |||||||||||||||||||||

3 | Academic year: | 2016-2017 | Course Title: | Matlab Programming (Theory) | Hrs: | 2 | Academic year: | 2016-2017 | Course Title: | Matlab Programming (Practical) | Hrs: | 2 | |||||||||

4 | Teacher's name: | Osama Tawfik Mohammed | Course Code: | MPR6310 | Units: | 6 | Teacher's name: | Osama Tawfik Mohammed | Course Code: | MPR6310 | Units: | 6 | |||||||||

5 | Teacher's Academic Degree: | M.Sc. | Study System: | Year | Stage | 2 | Teacher's Academic Degree: | M.Sc. | Study System: | Year | Stage | 2 | |||||||||

6 | Teacher's Academic Title: | Assistant Lecturer | e-mail: osama.tawfik@koyauniversity.org | Dept. | DMAT | Teacher's Academic Title: | Assistant Lecturer | e-mail: osama.tawfik@koyauniversity.org | Dept. | DMAT | |||||||||||

7 | |||||||||||||||||||||

8 | No. | Weekly Subject Title | Status | %Coverage | Short Comment | No. | Weekly Subject Title | Status | %Coverage | Short Comment | |||||||||||

9 | 1 | Starting Matlab, Matlab Windows | Completed | 100.0% | 1 | Starting Matlab, Matlab Windows | Completed | 100.0% | |||||||||||||

10 | 2 | Working In The Command Window. | Completed | 2 | Working In The Command Window. | Completed | |||||||||||||||

11 | 3 | Arithmetic Operations With Scalars , Display Formats. | Completed | 3 | Arithmetic Operations With Scalars , Display Formats. | Completed | |||||||||||||||

12 | 4 | Elementary Math Built-In Functions | Completed | 4 | Elementary Math Built-In Functions | Completed | |||||||||||||||

13 | 5 | Defining Scalar Variables, Useful Commands For Managing Variables. | Completed | 5 | Defining Scalar Variables, Useful Commands For Managing Variables. | Completed | |||||||||||||||

14 | 6 | Script Files. | Completed | 6 | Script Files. | Completed | |||||||||||||||

15 | 7 | Creating A One-Dimensional Array (Vector), Creating A Two-Dimensional Array (Matrix), The zeros, ones and eye commands . | Completed | 7 | Creating A One-Dimensional Array (Vector), Creating A Two-Dimensional Array (Matrix), The zeros, ones and eye commands . | Completed | |||||||||||||||

16 | 8 | The Transpose Operator, Array Addressing, Using A Colon : In Addressing Arrays. | Completed | 8 | The Transpose Operator, Array Addressing, Using A Colon : In Addressing Arrays. | Completed | |||||||||||||||

17 | 9 | Adding Elements To Existing Variables, Deleting Elements, Built-In Functions For Handling Arrays. | Completed | 9 | Adding Elements To Existing Variables, Deleting Elements, Built-In Functions For Handling Arrays. | Completed | |||||||||||||||

18 | 10 | Strings And Strings As Variables. | Completed | 10 | Strings And Strings As Variables. | Completed | |||||||||||||||

19 | 11 | Addition And Subtraction, Array Multiplication, Array Division. | Completed | 11 | Addition And Subtraction, Array Multiplication, Array Division. | Completed | |||||||||||||||

20 | 12 | Element-By-Element Operations, Using Arrays In Matlab Built-In Math Functions, Built-In Functions For Analyzing Arrays. | Completed | 12 | Element-By-Element Operations, Using Arrays In Matlab Built-In Math Functions, Built-In Functions For Analyzing Arrays. | Completed | |||||||||||||||

21 | 13 | The Plot Command, The Fplot Command, Plotting Multiple Graphs In The Same Plot. | Completed | 13 | The Plot Command, The Fplot Command, Plotting Multiple Graphs In The Same Plot. | Completed | |||||||||||||||

22 | 14 | Formatting A Plot, Plots With Error Bars, Plots With Special Graphics. | Completed | 14 | Formatting A Plot, Plots With Error Bars, Plots With Special Graphics. | Completed | |||||||||||||||

23 | 15 | Histograms, Polar Plots, Plotting Multiple Plots On The Same Page, Multiple Figure Windows. | Completed | 15 | Histograms, Polar Plots, Plotting Multiple Plots On The Same Page, Multiple Figure Windows. | Completed | |||||||||||||||

24 | 16 | Creating A Function File, Structure Of A Function File, Saving A Function File, Using A User-Defined Function. | Completed | 16 | Creating A Function File, Structure Of A Function File, Saving A Function File, Using A User-Defined Function. | Completed | |||||||||||||||

25 | 17 | Relational And Logical Operators. | Completed | 17 | Relational And Logical Operators. | Completed | |||||||||||||||

26 | 18 | Conditional Statements. | Completed | 18 | Conditional Statements. | Completed | |||||||||||||||

27 | 19 | The Switch-Case Statement. | Completed | 19 | The Switch-Case Statement. | Completed | |||||||||||||||

28 | 20 | Loops. | Completed | 20 | Loops. | Completed | |||||||||||||||

29 | 21 | Nested Loops And Nested Conditional Statements. | Completed | 21 | Nested Loops And Nested Conditional Statements. | Completed | |||||||||||||||

30 | 22 | The Break And Continue Commands. | Completed | 22 | The Break And Continue Commands. | Completed | |||||||||||||||

31 | 23 | Polynomials. | Completed | 23 | Polynomials. | Completed | |||||||||||||||

32 | 24 | Curve Fitting and Interpolation. | Completed | 24 | Curve Fitting and Interpolation. | Completed | |||||||||||||||

33 | 25 | Solving Algebraic Equations. | Completed | 25 | Solving Algebraic Equations. | Completed | |||||||||||||||

34 | 26 | Integration. | Completed | 26 | Integration. | Completed | |||||||||||||||

35 | 27 | Differentiation. | Completed | 27 | Differentiation. | Completed | |||||||||||||||

36 | 28 | Solving An Ordinary Differential Equation. | Completed | 28 | Solving An Ordinary Differential Equation. | Completed | |||||||||||||||

37 | |||||||||||||||||||||

38 | |||||||||||||||||||||

39 | |||||||||||||||||||||

40 | |||||||||||||||||||||

41 | |||||||||||||||||||||

42 | |||||||||||||||||||||

43 | |||||||||||||||||||||

44 | Teacher's signature | Head of Dept. signature | Teacher's signature | Head of Dept. signature | |||||||||||||||||

45 | |||||||||||||||||||||

46 | |||||||||||||||||||||

47 |

1 | Koya University - Faculty of Science and Health - Course Syllabus | Koya University - Faculty of Science and Health - Course Syllabus | |||||||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|

2 | |||||||||||||||||||||

3 | Academic year: | 2016-2017 | Course Title: | Academic Computing (Theory) | Hrs: | 2 | Academic year: | 2016-2017 | Course Title: | Academic Computing (Practical) | Hrs: | 2 | |||||||||

4 | Teacher's name: | Omar Waleed Salih Al-rassam | Course Code: | ACC5300 | Units: | 6 | Teacher's name: | Omar Waleed Salih Al-rassam | Course Code: | ACC5300 | Units: | 6 | |||||||||

5 | Teacher's Academic Degree: | M.Sc. | Study System: | Year | Stage | 1 | Teacher's Academic Degree: | M.Sc. | Study System: | Year | Stage | 1 | |||||||||

6 | Teacher's Academic Title: | Assistant Lecturer | e-mail: omar.alrassam@koyauniversity.org | Dept. | DMAT | Teacher's Academic Title: | Assistant Lecturer | e-mail: omar.alrassam@koyauniversity.org | Dept. | DMAT | |||||||||||

7 | |||||||||||||||||||||

8 | No. | Weekly Subject Title | Status | %Coverage | Short Comment | No. | Weekly Subject Title | Status | %Coverage | Short Comment | |||||||||||

9 | 1 | Introduction to Computers | Completed | 100.0% | 1 | Orientation Lab | Completed | 100.0% | |||||||||||||

10 | 2 | Computers Hardware | Completed | 2 | Components of Computer | Completed | |||||||||||||||

11 | 3 | Types of Computers | Completed | 3 | Getting Start with Winodews 8 | Completed | |||||||||||||||

12 | 4 | Parts Of Computers | Completed | 4 | Cont. Windows 8 | Completed | |||||||||||||||

13 | 5 | How Does Computre work? | Completed | 5 | Cont. Windows 8 | Completed | |||||||||||||||

14 | 6 | Introduction to Operating Systems | Completed | 6 | Cont. Windows 8 | Completed | |||||||||||||||

15 | 7 | Types of computer software | Completed | 7 | Introdution to Microsft Office (Word) | Completed | |||||||||||||||

16 | 8 | Differences between System software and Application software | Completed | 8 | Cont. with Word Program | Completed | |||||||||||||||

17 | 9 | Working on Winodows 8 | Completed | 9 | Cont. with Word Program | Completed | |||||||||||||||

18 | 10 | Continue (Working on Windows) | Completed | 10 | Cont. with Word Program | Completed | |||||||||||||||

19 | 11 | Types of Applicaiton Software | Completed | 11 | Cont. with Word Program | Completed | |||||||||||||||

20 | 12 | Understanding security and safe computing | Completed | 12 | Cont. with Word Program | Completed | |||||||||||||||

21 | 13 | Working on Microsft office (Word) | Completed | 13 | Cont. with Word Program | Completed | |||||||||||||||

22 | 14 | Continue (Working on Microsft office (Word)) | Completed | 14 | Cont. with Word Program | Completed | |||||||||||||||

23 | 15 | Continue (Working on Microsft office (Word)) | Completed | 15 | Cont. with Word Program | Completed | |||||||||||||||

24 | 16 | Continue (Working on Microsft office (Word)) | Completed | 16 | Cont. with Word Program | Completed | |||||||||||||||

25 | 17 | Continue (Working on Microsft office (Word)) | Completed | 17 | Cont. with Word Program | Completed | |||||||||||||||

26 | 18 | (Working on Microsft office (PwoerPoint) | Completed | 18 | Introdution to Microsft Office (PowerPoint) | Completed | |||||||||||||||

27 | 19 | Continue ((Working on Microsft office (PwoerPoint)) | Completed | 19 | Cont. with PowerPoint Program | Completed | |||||||||||||||

28 | 20 | Continue ((Working on Microsft office (PwoerPoint)) | Completed | 20 | Cont. with PowerPoint Program | Completed | |||||||||||||||

29 | 21 | Continue ((Working on Microsft office (PwoerPoint)) | Completed | 21 | Cont. with PowerPoint Program | Completed | |||||||||||||||

30 | 22 | Continue ((Working on Microsft office (PwoerPoint)) | Completed | 22 | Cont. with PowerPoint Program | Completed | |||||||||||||||

31 | 23 | Continue ((Working on Microsft office (PwoerPoint)) | Completed | 23 | Cont. with PowerPoint Program | Completed | |||||||||||||||

32 | 24 | Working on Microsft office (Excel) | Completed | 24 | Introdution to Microsft Office (Excel) | Completed | |||||||||||||||

33 | 25 | Working on Microsft office (Excel) | Completed | 25 | Cont. with Excel Program | Completed | |||||||||||||||

34 | 26 | Working on Microsft office (Excel) | Completed | 26 | Cont. with Excel Program | Completed | |||||||||||||||

35 | 27 | Working on Microsft office (Excel) | Completed | 27 | Cont. with Excel Program | Completed | |||||||||||||||

36 | 28 | Working on Microsft office (Excel) | Completed | 28 | Cont. with Excel Program | Completed | |||||||||||||||

37 | |||||||||||||||||||||

38 | |||||||||||||||||||||

39 | |||||||||||||||||||||

40 | |||||||||||||||||||||

41 | |||||||||||||||||||||

42 | |||||||||||||||||||||

43 | |||||||||||||||||||||

44 | Teacher's signature | Head of Dept. signature | Teacher's signature | Head of Dept. signature | |||||||||||||||||

45 | |||||||||||||||||||||

46 | |||||||||||||||||||||

47 |

1 | Koya University - Faculty of Science and Health - Course Syllabus | |||||||||
---|---|---|---|---|---|---|---|---|---|---|

2 | ||||||||||

3 | Academic year: | 2016-2017 | Course Title: | General Topology (Theory) | Hrs: | 4 | ||||

4 | Teacher's name: | Course Code: | TOP6314 | Units: | 8 | |||||

5 | Teacher's Academic Degree: | Study System: | Year | Stage | 4 | |||||

6 | Teacher's Academic Title: | e-mail: xxxx.xxxx@koyauniversity.org | Dept. | DMAT | ||||||

7 | ||||||||||

8 | No. | Weekly Subject Title | Status | %Coverage | Short Comment | |||||

9 | 1 | Completed | 21.4% | |||||||

10 | 2 | Completed | ||||||||

11 | 3 | Completed | ||||||||

12 | 4 | Completed | ||||||||

13 | 5 | Completed | ||||||||

14 | 6 | Completed | ||||||||

15 | 7 | Not completed | ||||||||

16 | 8 | Not completed | ||||||||

17 | 9 | Not completed | ||||||||

18 | 10 | Not completed | ||||||||

19 | 11 | Not completed | ||||||||

20 | 12 | Not completed | ||||||||

21 | 13 | Not completed | ||||||||

22 | 14 | Not completed | ||||||||

23 | 15 | Not completed | ||||||||

24 | 16 | Not completed | ||||||||

25 | 17 | Not completed | ||||||||

26 | 18 | Not completed | ||||||||

27 | 19 | Not completed | ||||||||

28 | 20 | Not completed | ||||||||

29 | 21 | Not completed | ||||||||

30 | 22 | Not completed | ||||||||

31 | 23 | Not completed | ||||||||

32 | 24 | Not completed | ||||||||

33 | 25 | Not completed | ||||||||

34 | 26 | Not completed | ||||||||

35 | 27 | Not completed | ||||||||

36 | 28 | Not completed | ||||||||

37 | ||||||||||

38 | ||||||||||

39 | ||||||||||

40 | ||||||||||

41 | ||||||||||

42 | ||||||||||

43 | ||||||||||

44 | Teacher's signature | Head of Dept. signature | ||||||||

45 | ||||||||||

46 | ||||||||||

47 |

1 | Koya University - Faculty of Science and Health - Course Syllabus | |||||||||
---|---|---|---|---|---|---|---|---|---|---|

2 | ||||||||||

3 | Academic year: | 2016-2017 | Course Title: | Complex Analysis (Theory) | Hrs: | 4 | ||||

4 | Teacher's name: | Mardan Ameen Pirdawood | Course Code: | CAN6315 | Units: | 8 | ||||

5 | Teacher's Academic Degree: | M.Sc. | Study System: | Year | Stage | 4 | ||||

6 | Teacher's Academic Title: | Assistant Lecturer | e-mail: mardan.ameen@koyauniversity.org | Dept. | DMAT | |||||

7 | ||||||||||

8 | No. | Weekly Subject Title | Status | %Coverage | Short Comment | |||||

9 | 1 | Complex Numbers and Their Properties | Completed | 100.0% | ||||||

10 | 2 | Complex Plane | Completed | |||||||

11 | 3 | Polar Form of Complex Numbers | Completed | |||||||

12 | 4 | Powers and Roots | Completed | |||||||

13 | 5 | Sets of Points in the Complex Plane | Completed | |||||||

14 | 6 | Complex Functions | Completed | |||||||

15 | 7 | Complex Functions as Mappings | Completed | |||||||

16 | 8 | Linear Mappings | Completed | |||||||

17 | 9 | Special Power Functions | Completed | |||||||

18 | 10 | Limits and Continuity | Completed | |||||||

19 | 11 | Differentiability and Analyticity | Completed | |||||||

20 | 12 | Cauchy-Riemann Equations | Completed | |||||||

21 | 13 | Harmonic Functions | Completed | |||||||

22 | 14 | Exponential and Logarithmic Functions | Completed | |||||||

23 | 15 | Complex Powers | Completed | |||||||

24 | 16 | Trigonometric and Hyperbolic Functions | Completed | |||||||

25 | 17 | Inverse Trigonometric and Hyperbolic Functions | Completed | |||||||

26 | 18 | Complex Integrals | Completed | |||||||

27 | 19 | Cauchy-Goursat Theorem | Completed | |||||||

28 | 20 | Cauchy’s Integral Formulas and Their Consequences | Completed | |||||||

29 | 21 | Sequences and Series | Completed | |||||||

30 | 22 | Taylor Series | Completed | |||||||

31 | 23 | Laurent Series | Completed | |||||||

32 | 24 | Zeros and Poles | Completed | |||||||

33 | 25 | Residues and Residue Theorem | Completed | |||||||

34 | 26 | Completed | ||||||||

35 | 27 | Completed | ||||||||

36 | 28 | Completed | ||||||||

37 | ||||||||||

38 | ||||||||||

39 | ||||||||||

40 | ||||||||||

41 | ||||||||||

42 | ||||||||||

43 | ||||||||||

44 | Teacher's signature | Head of Dept. signature | ||||||||

45 | ||||||||||

46 | ||||||||||

47 |

1 | Koya University - Faculty of Science and Health - Course Syllabus | |||||||||
---|---|---|---|---|---|---|---|---|---|---|

2 | ||||||||||

3 | Academic year: | 2016-2017 | Course Title: | Integral Equations (Theory) | Hrs: | 4 | ||||

4 | Teacher's name: | Mohammad Shami Hasso | Course Code: | IEQ6316 | Units: | 6 | ||||

5 | Teacher's Academic Degree: | Ph.D. | Study System: | Year | Stage | 4 | ||||

6 | Teacher's Academic Title: | Assistant Lecturer | e-mail:mohammad.shami@koyauniversity.org | Dept. | DMAT | |||||

7 | ||||||||||

8 | No. | Weekly Subject Title | Status | %Coverage | Short Comment | |||||

9 | 1 | Introduction and Historical Background of integral equations | Completed | 100.0% | ||||||

10 | 2 | Classification of Integral Equations | Completed | |||||||

11 | 3 | Volterra integral equations | Completed | |||||||

12 | 4 | Fredholm integral equations | Completed | |||||||

13 | 5 | Singular integral equations | Completed | |||||||

14 | 6 | Examples to show that the given function is solution of Volterra integral equations or net | Completed | |||||||

15 | 7 | Examples to show that the given function is solution of Fredholm integral equations or net | Completed | |||||||

16 | 8 | Relationship between linear differential equations and integral equations | Completed | |||||||

17 | 9 | Convert initial value problem to Volterra integral equations | Completed | |||||||

18 | 10 | Convert boundary value problem to Fredholm integral equations | Completed | |||||||

19 | 11 | Convert Volterra integral equations to initial value problem | Completed | |||||||

20 | 12 | Convert Fredholm integral equations to boundary value problem | Completed | |||||||

21 | 13 | Resolvent kernel of Volterra integral equations | Completed | |||||||

22 | 14 | Resolvent kernel of Fredholm integral equations | Completed | |||||||

23 | 15 | Solution of Volterra integral equations by Resolvent kernel | Completed | |||||||

24 | 16 | Solution of Fredholm integral equations by Resolvent kernel | Completed | |||||||

25 | 17 | The method of Successive Approximation for Volterra integral equations | Completed | |||||||

26 | 18 | The method of Successive Approximation for Fredholm integral equations | Completed | |||||||

27 | 19 | Iterative kernels method for Volterra integral equations | Completed | |||||||

28 | 20 | Iterative kernels method for Fredholm integral equations | Completed | |||||||

29 | 21 | Resolvent Fredholm determinants | Completed | |||||||

30 | 22 | Resolvent recurrence relations | Completed | |||||||

31 | 23 | The method of Fredholm determinants to solve Fredholm integral equations | Completed | |||||||

32 | 24 | The method of recurrence relations to solve Fredholm determinants to | Completed | |||||||

33 | 25 | Illustrative Examples | Completed | |||||||

34 | 26 | Integral equations with degenerate kernel | Completed | |||||||

35 | 27 | Illustrative Examples | Completed | |||||||

36 | 28 | Characteristic Numbers and eigenfunctions | Completed | |||||||

37 | ||||||||||

38 | ||||||||||

39 | ||||||||||

40 | ||||||||||

41 | ||||||||||

42 | ||||||||||

43 | ||||||||||

44 | Teacher's signature | Head of Dept. signature | ||||||||

45 | ||||||||||

46 | ||||||||||

47 |

1 | Koya University - Faculty of Science and Health - Course Syllabus | |||||||||
---|---|---|---|---|---|---|---|---|---|---|

2 | ||||||||||

3 | Academic year: | 2016-2017 | Course Title: | Optimization (Theory) | Hrs: | 4 | ||||

4 | Teacher's name: | Abdulqader Othman Hamadameen | Course Code: | OPT6317 | Units: | 6 | ||||

5 | Teacher's Academic Degree: | Ph.D. | Study System: | Year | Stage | 4 | ||||

6 | Teacher's Academic Title: | Lecturer | e-mail: abdulqader.othman@koyauniversity.org | Dept. | DMAT | |||||

7 | ||||||||||

8 | No. | Weekly Subject Title | Status | %Coverage | Short Comment | |||||

9 | 1 | Introduction: What is a linear programming problem? | Completed | 100.0% | ||||||

10 | 2 | Special cases. | Completed | |||||||

11 | 3 | Linear programming in its standard form. | Completed | |||||||

12 | 4 | Unbounded LPs. | Completed | |||||||

13 | 5 | The Big-M method. | Completed | |||||||

14 | 6 | Multiattribute decision making in the absence of uncertainty: Goal programming | Completed | |||||||

15 | 7 | General rules for converting any primal into its dual. | Completed | |||||||

16 | 8 | Duality and simplex method. | Completed | |||||||

17 | 9 | Shadow prices. | Completed | |||||||

18 | 10 | The transportation simplex method. | Completed | |||||||

19 | 11 | Basic definitions. | Completed | |||||||

20 | 12 | Minimum cost network flow problems. | Completed | |||||||

21 | 13 | Mathematical formulation for integer programming problems. | Completed | |||||||

22 | 14 | Methods for solving integer programming problems | Completed | |||||||

23 | 15 | Use column generation to solve large scale linear programming. | Completed | |||||||

24 | 16 | Introduction to game theory. | Completed | |||||||

25 | 17 | Two-person no-constant-sum games. | Completed | |||||||

26 | 18 | Basic definitions.
18.2 Shortest path problems. 18.3 Maximum flow problems. | Completed | |||||||

27 | 19 | 19.1 CPM and PERT.
19.2 Minimum cost network flow problems. | Completed | |||||||

28 | 20 | 20.1 Minimum spanning tree problems.
20.2 The network simplex method. | Completed | |||||||

29 | 21 | 21 Introduction to integer programming. | Completed | |||||||

30 | 22 | 22 Mathematical formulation for integer programming problems. | Completed | |||||||

31 | 23 | 23 Methods for solving integer programming problems. | Completed | |||||||

32 | 24 | 24.1 Introduction to advanced topics in LP problems.
24.2 The revised simplex method. 24.3 The product form of the inverse. | Completed | |||||||

33 | 25 | 25.1 Use column generation to solve large scale linear programming.
25.2 The Dantzig-Wolfe decomposition algorithm. | Completed | |||||||

34 | 26 | 26.1The simplex method for upper-bounded variables.
26.2 Karmarkar’s method for solving linear programming. | Completed | |||||||

35 | 27 | 27.1 Introduction to game theory.
27.2 Two-person zero-sum and constant-sum games: Saddle point. 27.3 Two-person zero-sum games: Randomized strategies, domination, and graphical solution. | Completed | |||||||

36 | 28 | 28.1 Linear programming and zero-sum games.
28.2 Two-person no-constant-sum games. 28.3 Introduction to n-person game. 28.4 The core of an n-person game.. | Completed | |||||||

37 | ||||||||||

38 | ||||||||||

39 | ||||||||||

40 | ||||||||||

41 | ||||||||||

42 | ||||||||||

43 | ||||||||||

44 | Teacher's signature | Head of Dept. signature | ||||||||

45 | ||||||||||

46 | ||||||||||

47 |

1 | Koya University - Faculty of Science and Health - Course Syllabus | |||||||||
---|---|---|---|---|---|---|---|---|---|---|

2 | ||||||||||

3 | Academic year: | 2016-2017 | Course Title: | Dynamical Systems (Selective) (Theory) | Hrs: | 4 | ||||

4 | Teacher's name: | Hero Waisi Salih | Course Code: | DYS6318 | Units: | 6 | ||||

5 | Teacher's Academic Degree: | Ph.D. | Study System: | Year | Stage | 4 | ||||

6 | Teacher's Academic Title: | Lecturer | e-mail: hero.waisi@koyauniversity.org | Dept. | DMAT | |||||

7 | ||||||||||

8 | No. | Weekly Subject Title | Status | %Coverage | Short Comment | |||||

9 | 1 | Introduction | Completed | 100.0% | ||||||

10 | 2 | general solution of linear system | Completed | |||||||

11 | 3 | Second order autonomous system | Completed | |||||||

12 | 4 | Study of the behaviour of the trajectories for linear system | Completed | |||||||

13 | 5 | Cont… | Completed | |||||||

14 | 6 | Nonlinear system in the plane | Completed | |||||||

15 | 7 | Linearized system | Completed | |||||||

16 | 8 | Stability of fixed point, first integra | Completed | |||||||

17 | 9 | Method of stability, lyapunov’s second method for autonomous system | Completed | |||||||

18 | 10 | Lyapunov function generation for nonlinear autonomous system | Completed | |||||||

19 | 11 | Cont… | Completed | |||||||

20 | 12 | Cont… | Completed | |||||||

21 | 13 | Cont… | Completed | |||||||

22 | 14 | Relaxed lyapunov stability conditions | Completed | |||||||

23 | 15 | Cont… | Completed | |||||||

24 | 16 | Limit cycle | Completed | |||||||

25 | 17 | Local limit cycle | Completed | |||||||

26 | 18 | Global limit cycles | Completed | |||||||

27 | 19 | Test of periodic solution | Completed | |||||||

28 | 20 | Bifurcation | Completed | |||||||

29 | 21 | Trans critical bifurcation | Completed | |||||||

30 | 22 | A pitchfork bifurcation | Completed | |||||||

31 | 23 | Hopf bifurcation | Completed | |||||||

32 | 24 | Hilbert system | Completed | |||||||

33 | 25 | Polynomial differential system | Completed | |||||||

34 | 26 | Predator and prey model | Completed | |||||||

35 | 27 | Lienard equation, Van der pol | Completed | |||||||

36 | 28 | A mechanical oscillator | Completed | |||||||

37 | ||||||||||

38 | ||||||||||

39 | ||||||||||

40 | ||||||||||

41 | ||||||||||

42 | ||||||||||

43 | ||||||||||

44 | Teacher's signature | Head of Dept. signature | ||||||||

45 | ||||||||||

46 | ||||||||||

47 |

1 | Koya University - Faculty of Science and Health - Course Syllabus | |||||||||
---|---|---|---|---|---|---|---|---|---|---|

2 | ||||||||||

3 | Academic year: | 2016-2017 | Course Title: | Abstract Algebra (Theory) | Hrs: | 4 | ||||

4 | Teacher's name: | Noor Hazim Hasan | Course Code: | ABA6313 | Units: | 6 | ||||

5 | Teacher's Academic Degree: | M.Sc. | Study System: | Year | Stage | 3 | ||||

6 | Teacher's Academic Title: | Assistant Lecturer | e-mail: noor.hazim@koyauniversity.org | Dept. | DMAT | |||||

7 | ||||||||||

8 | No. | Weekly Subject Title | Status | %Coverage | Short Comment | |||||

9 | 1 | Introduction to Abstract Algebra | Completed | 100.0% | ||||||

10 | 2 | The Set of Integers modulo n | Completed | |||||||

11 | 3 | Introduction to Groups | Completed | |||||||

12 | 4 | Some theorems for Groups | Completed | |||||||

13 | 5 | Subgroups | Completed | |||||||

14 | 6 | Cyclic Groups | Completed | |||||||

15 | 7 | Cyclic Subgroups | Completed | |||||||

16 | 8 | Cosets | Completed | |||||||

17 | 9 | Normal subgroups | Completed | |||||||

18 | 10 | Commutator subgroups | Completed | |||||||

19 | 11 | Quotient groups | Completed | |||||||

20 | 12 | Group Homeomorphisms and Their Properties | Completed | |||||||

21 | 13 | Isomorphisms | Completed | |||||||

22 | 14 | Some theorems for homomorphisms | Completed | |||||||

23 | 15 | Isomorphism Theorems | Completed | |||||||

24 | 16 | First and Second Isomorphism Theorm | Completed | |||||||

25 | 17 | Introduction to Ring Theory | Completed | |||||||

26 | 18 | Rings | Completed | |||||||

27 | 19 | fields and Integral Domain | Completed | |||||||

28 | 20 | Subrings | Completed | |||||||

29 | 21 | Ideals | Completed | |||||||

30 | 22 | Some spicial Types of Ideals | Completed | |||||||

31 | 23 | Product of Ideals | Completed | |||||||

32 | 24 | Quotient Rings | Completed | |||||||

33 | 25 | Homomorphisms of Rings | Completed | |||||||

34 | 26 | Isomorphisms of Rings | Completed | |||||||

35 | 27 | Embedding of Rings. | Completed | |||||||

36 | 28 | Completed | ||||||||

37 | ||||||||||

38 | ||||||||||

39 | ||||||||||

40 | ||||||||||

41 | ||||||||||

42 | ||||||||||

43 | ||||||||||

44 | Teacher's signature | Head of Dept. signature | ||||||||

45 | ||||||||||

46 | ||||||||||

47 |

1 | Koya University - Faculty of Science and Health - Course Syllabus | |||||||||
---|---|---|---|---|---|---|---|---|---|---|

2 | ||||||||||

3 | Academic year: | 2016-2017 | Course Title: | Mathematical Statistics (Theory) | Hrs: | 4 | ||||

4 | Teacher's name: | Jehan Sherwan Ziad | Course Code: | MST6314 | Units: | 6 | ||||

5 | Teacher's Academic Degree: | M.Sc. | Study System: | Year | Stage | 3 | ||||

6 | Teacher's Academic Title: | Assistant Lecturer | e-mail: jehan.ghafuri@koyauniversity.org | Dept. | DMAT | |||||

7 | ||||||||||

8 | No. | Weekly Subject Title | Status | %Coverage | Short Comment | |||||

9 | 1 | Chapter one: Introduction | Completed | 100.0% | ||||||

10 | 2 | Introduction and basic definitions | Completed | |||||||

11 | 3 | Transformation of discrete randome variable | Completed | |||||||

12 | 4 | Transformation of discrete randome variable (Joint r.v) | Completed | |||||||

13 | 5 | Transformation of continuous randome variable | Completed | |||||||

14 | 6 | Transformation of continuous randome variable (Joint r.v) | Completed | |||||||

15 | 7 | Moment generating function techniques | Completed | |||||||

16 | 8 | Examples and applications | Completed | |||||||

17 | 9 | Order Statistics | Completed | |||||||

18 | 10 | Chi-square distribution | Completed | |||||||

19 | 11 | Student’s t distribution | Completed | |||||||

20 | 12 | F distribution | Completed | |||||||

21 | 13 | Theorems and special cases | Completed | |||||||

22 | 14 | Unbiasedness, Sufficiency | Completed | |||||||

23 | 15 | Consistency, Completeness | Completed | |||||||

24 | 16 | Efficiency, R-G Inequality | Completed | |||||||

25 | 17 | Examples and applications | Completed | |||||||

26 | 18 | Moments method | Completed | |||||||

27 | 19 | Maximum likelihood method | Completed | |||||||

28 | 20 | Minimum variance method | Completed | |||||||

29 | 21 | Bayesian method | Completed | |||||||

30 | 22 | Confidence interval | Completed | |||||||

31 | 23 | Statistical hypotheses | Completed | |||||||

32 | 24 | Tests of hypotheses, Neyman Pearson Theorem | Completed | |||||||

33 | 25 | Likelihood ratio test, Operating characteristic curves | Completed | |||||||

34 | 26 | Curve Fitting | Completed | |||||||

35 | 27 | Regression | Completed | |||||||

36 | 28 | The method of least Squares | Completed | |||||||

37 | ||||||||||

38 | ||||||||||

39 | ||||||||||

40 | ||||||||||

41 | ||||||||||

42 | ||||||||||

43 | ||||||||||

44 | Teacher's signature | Head of Dept. signature | ||||||||

45 | ||||||||||

46 | ||||||||||

47 |

1 | Koya University - Faculty of Science and Health - Course Syllabus | |||||||||
---|---|---|---|---|---|---|---|---|---|---|

2 | ||||||||||

3 | Academic year: | 2016-2017 | Course Title: | Partial Differential Equations (Theory) | Hrs: | 3 | ||||

4 | Teacher's name: | Hero Waisi Salih | Course Code: | PDE6312 | Units: | 6 | ||||

5 | Teacher's Academic Degree: | Ph.D. | Study System: | Year | Stage | 3 | ||||

6 | Teacher's Academic Title: | Lecturer | e-mail: hero.waisi@koyauniversity.org | Dept. | DMAT | |||||

7 | ||||||||||

8 | No. | Weekly Subject Title | Status | %Coverage | Short Comment | |||||

9 | 1 | Basic definitions | Completed | 100.0% | ||||||

10 | 2 | Elimination of arbitrary constants | Completed | |||||||

11 | 3 | Elimination of arbitrary functions | Completed | |||||||

12 | 4 | Total differential equation (pfaffian equation) | Completed | |||||||

13 | 5 | Working rules for solution of pfaffian DE: Case 1, Case 2 and Case 3 | Completed | |||||||

14 | 6 | Working rules for solution of pfaffian DE: Case 4 and Case 5 | Completed | |||||||

15 | 7 | Methods for solution of linear equations | Completed | |||||||

16 | 8 | Solution of nonlinear equations | Completed | |||||||

17 | 9 | Integral Surface Passing Through A given Curve | Completed | |||||||

18 | 10 | Nonlinear First Order Equations(Charpit's Method) | Completed | |||||||

19 | 11 | Special Types Of The Nonlinear PDEFO: Case 1, Case 2 and Case 3 | Completed | |||||||

20 | 12 | Special Types Of The Nonlinear PDEFO: Case 4 and Case 5 | Completed | |||||||

21 | 13 | Solutions of second order PDE with constant coefficient | Completed | |||||||

22 | 14 | Solutions of second order PDE with constant coefficient: with homogeneous terms: reducible equations | Completed | |||||||

23 | 15 | Solutions of second order PDE with constant coefficient: with homogeneous terms: reducible equations | Completed | |||||||

24 | 16 | Solutions of second order PDE with constant coefficient: with homogeneous terms: reducible equations | Completed | |||||||

25 | 17 | Finding Complementary Solution | Completed | |||||||

26 | 18 | Finding Particular Integral For Nonhomogeneous PDE With Constant Coefficients | Completed | |||||||

27 | 19 | Finding Particular Integral For Nonhomogeneous PDE With Constant Coefficients | Completed | |||||||

28 | 20 | Finding Particular Integral For Nonhomogeneous PDE With Constant Coefficients | Completed | |||||||

29 | 21 | Finding Particular Integral For Nonhomogeneous PDE With Variable Coefficients | Completed | |||||||

30 | 22 | Classification Of A linear PDE Of The Second Order With Variable able coefficients | Completed | |||||||

31 | 23 | Classification Of A linear PDE Of The Second Order With Variable able coefficients | Completed | |||||||

32 | 24 | Separation Of Variables Method | Completed | |||||||

33 | 25 | Fourier series | Completed | |||||||

34 | 26 | The Euler-Fourier Formula | Completed | |||||||

35 | 27 | Complex Form Of Fourier Series | Completed | |||||||

36 | 28 | Solution of heat equation, solution of vibrating solution of wave equation | Completed | |||||||

37 | ||||||||||

38 | ||||||||||

39 | ||||||||||

40 | ||||||||||

41 | ||||||||||

42 | ||||||||||

43 | ||||||||||

44 | Teacher's signature | Head of Dept. signature | ||||||||

45 | ||||||||||

46 | ||||||||||

47 |

1 | Koya University - Faculty of Science and Health - Course Syllabus | |||||||||
---|---|---|---|---|---|---|---|---|---|---|

2 | ||||||||||

3 | Academic year: | 2016-2017 | Course Title: | Mathematical Modeling (Selective) (Theory) | Hrs: | 3 | ||||

4 | Teacher's name: | Jehan Sherwan Ziad | Course Code: | MAM6316 | Units: | 6 | ||||

5 | Teacher's Academic Degree: | M.Sc. | Study System: | Year | Stage | 3 | ||||

6 | Teacher's Academic Title: | Assistant Lecturer | e-mail: jehan.ghafuri@koyauniversity.org | Dept. | DMAT | |||||

7 | ||||||||||

8 | No. | Weekly Subject Title | Status | %Coverage | Short Comment | |||||

9 | 1 | The modeling process | Completed | 100.0% | ||||||

10 | 2 | Why do Mathematical Modeling? and types of Mathematical Models | Completed | |||||||

11 | 3 | Population, Population size and Population density | Completed | |||||||

12 | 4 | Discrete Population Models for a Single Species | Completed | |||||||

13 | 5 | Cobweb Analysis | Completed | |||||||

14 | 6 | Logistic Difference Equation | Completed | |||||||

15 | 7 | Continuous Population Models for Single Species | Completed | |||||||

16 | 8 | Logistic Growth in a Population | Completed | |||||||

17 | 9 | Applications of logistic equations | Completed | |||||||

18 | 10 | Applications and Examples | Completed | |||||||

19 | 11 | Basic Ideas and Definitions of Mass action law | Completed | |||||||

20 | 12 | Elementary Reactions and Stoichiometric Vector | Completed | |||||||

21 | 13 | Reaction Rate and Mass Action Law | Completed | |||||||

22 | 14 | Kinetic Equations, Enzyme Kinetics | Completed | |||||||

23 | 15 | Applications | Completed | |||||||

24 | 16 | The SI Model | Completed | |||||||

25 | 17 | The SIS model | Completed | |||||||

26 | 18 | The SIR epidemic Disease Model | Completed | |||||||

27 | 19 | Examples | Completed | |||||||

28 | 20 | SIR with vaccination | Completed | |||||||

29 | 21 | SIR with mutation (SIRS) | Completed | |||||||

30 | 22 | Modeling Venereal Diseases | Completed | |||||||

31 | 23 | Lotka-Volterra Model | Completed | |||||||

32 | 24 | Linear Autonomous Systems with Constant Coefficients | Completed | |||||||

33 | 25 | Eigenvalues and Eigenvectors | Completed | |||||||

34 | 26 | Applications | Completed | |||||||

35 | 27 | Phase plane, Trajectory and Phase Portrait | Completed | |||||||

36 | 28 | Applications | Completed | |||||||

37 | ||||||||||

38 | ||||||||||

39 | ||||||||||

40 | ||||||||||

41 | ||||||||||

42 | ||||||||||

43 | ||||||||||

44 | Teacher's signature | Head of Dept. signature | ||||||||

45 | ||||||||||

46 | ||||||||||

47 |

1 | Koya University - Faculty of Science and Health - Course Syllabus | |||||||||
---|---|---|---|---|---|---|---|---|---|---|

2 | ||||||||||

3 | Academic year: | 2016-2017 | Course Title: | Mathematical Analysis (Theory) | Hrs: | 4 | ||||

4 | Teacher's name: | Mardan Ameen Pirdawood | Course Code: | MAN6311 | Units: | 8 | ||||

5 | Teacher's Academic Degree: | M.Sc. | Study System: | Year | Stage | 3 | ||||

6 | Teacher's Academic Title: | Assistant Lecturer | e-mail: mardan.ameen@koyauniversity.org | Dept. | DMAT | |||||

7 | ||||||||||

8 | No. | Weekly Subject Title | Status | %Coverage | Short Comment | |||||

9 | 1 | Real number system, Real Numbers and the Number Line, Important Sets of Real | Completed | 100.0% | ||||||

10 | 2 | Numbers Field Properties The Order Relation, Greatest and Least Elements Upper and Lower bound | Completed | |||||||

11 | 3 | The Completeness Axiom (Supremum property), The Archimedean Property. | Completed | |||||||

12 | 4 | Rational and Irrational Numbers, Density of the Rationals and Irrationals. | Completed | |||||||

13 | 5 | Some Necessary Inequalities, Metric Spaces, Examples of metric spaces. | Completed | |||||||

14 | 6 | Bounded and unbounded metric spaces | Completed | |||||||

15 | 7 | Some Topological concepts in a Metric Space | Completed | |||||||

16 | 8 | Limit point, Interior, Boundary and Closure. | Completed | |||||||

17 | 9 | Sequences in Metric Spaces | Completed | |||||||

18 | 10 | Convergence of sequences | Completed | |||||||

19 | 11 | Cauchy Sequences | Completed | |||||||

20 | 12 | Completeness in metric spaces | Completed | |||||||

21 | 13 | Compact Spaces. | Completed | |||||||

22 | 14 | Limit and continuity of functions in metric space | Completed | |||||||

23 | 15 | Continuous Functions on Compact Spaces | Completed | |||||||

24 | 16 | Continuous Functions on Compact Spaces | Completed | |||||||

25 | 17 | Uniform Continuity | Completed | |||||||

26 | 18 | Sequences and series of functions | Completed | |||||||

27 | 19 | Point wise and uniform convergence | Completed | |||||||

28 | 20 | Differentiation of functions | Completed | |||||||

29 | 21 | Mean value theorem-Rolle’s theorem | Completed | |||||||

30 | 22 | The Riemann Integral | Completed | |||||||

31 | 23 | Partitions and lower and upper integrals | Completed | |||||||

32 | 24 | Properties of the integral | Completed | |||||||

33 | 25 | Fundamental theorem of calculus | Completed | |||||||

34 | 26 | Completed | ||||||||

35 | 27 | Completed | ||||||||

36 | 28 | Completed | ||||||||

37 | ||||||||||

38 | ||||||||||

39 | ||||||||||

40 | ||||||||||

41 | ||||||||||

42 | ||||||||||

43 | ||||||||||

44 | Teacher's signature | Head of Dept. signature | ||||||||

45 | ||||||||||

46 | ||||||||||

47 |

1 | Koya University - Faculty of Science and Health - Course Syllabus | |||||||||
---|---|---|---|---|---|---|---|---|---|---|

2 | ||||||||||

3 | Academic year: | 2016-2017 | Course Title: | Advanced Calculus (Theory) | Hrs: | 4 | ||||

4 | Teacher's name: | Mohammad Shami Hasso | Course Code: | ADC6305 | Units: | 8 | ||||

5 | Teacher's Academic Degree: | Ph.D. | Study System: | Year | Stage | 2 | ||||

6 | Teacher's Academic Title: | Assistant Prof. | e-mail: mohammad.shami@koyauniversity.org | Dept. | DMAT | |||||

7 | ||||||||||

8 | No. | Weekly Subject Title | Status | %Coverage | Short Comment | |||||

9 | 1 | Infinite sequences,convergence and divergenceofsequences. | Completed | 100.0% | ||||||

10 | 2 | infinite series and their convergence and divergence. | Completed | |||||||

11 | 3 | Tests for convergence and divergence of series. | Completed | |||||||

12 | 4 | Alternating series , absolute and conditional convergence. | Completed | |||||||

13 | 5 | Power series.Convergenceof power series | Completed | |||||||

14 | 6 | Taylor’s theorem. Some important power series | Completed | |||||||

15 | 7 | Functions of Several Variables | Completed | |||||||

16 | 8 | The 3-D Coordinate System,Equations of Lines | Completed | |||||||

17 | 9 | Equations of Planes. | Completed | |||||||

18 | 10 | Functions of Several Variables | Completed | |||||||

19 | 11 | Limits and Continuity in Higher Dimensions | Completed | |||||||

20 | 12 | Partial Derivatives | Completed | |||||||

21 | 13 | The Chain Rule | Completed | |||||||

22 | 14 | Directional Derivatives and Gradient Vectors | Completed | |||||||

23 | 15 | Gradient | Completed | |||||||

24 | 16 | Extrema ofFunctions of Two Variables | Completed | |||||||

25 | 17 | Relative Minimums and Maximums | Completed | |||||||

26 | 18 | Exact Differentials. | Completed | |||||||

27 | 19 | Polar coordinates, Relation between Cartesian coordinates and polar coordinates. | Completed | |||||||

28 | 20 | The Graph of polar equations,cylindrical and spherical coordinates | Completed | |||||||

29 | 21 | Multiple Integrals, .Double and Iterated Integrals over Rectangles | Completed | |||||||

30 | 22 | Double Integrals over General Regions , Area by Double Integration | Completed | |||||||

31 | 23 | Double Integrals in Polar Form | Completed | |||||||

32 | 24 | Triple Integrals in Rectangular Coordinates | Completed | |||||||

33 | 25 | Change of Variables | Completed | |||||||

34 | 26 | Volume by double and triple integrals | Completed | |||||||

35 | 27 | Line integrals, Fundamental Theorem for Line Integrals | Completed | |||||||

36 | 28 | Illustrative Examples | Completed | |||||||

37 | ||||||||||

38 | ||||||||||

39 | ||||||||||

40 | ||||||||||

41 | ||||||||||

42 | ||||||||||

43 | ||||||||||

44 | Teacher's signature | Head of Dept. signature | ||||||||

45 | ||||||||||

46 | ||||||||||

47 |

1 | Koya University - Faculty of Science and Health - Course Syllabus | |||||||||
---|---|---|---|---|---|---|---|---|---|---|

2 | ||||||||||

3 | Academic year: | 2016-2017 | Course Title: | Ordinary Differential Equations (Theory) | Hrs: | 4 | ||||

4 | Teacher's name: | Rozhan Mahamad Haji | Course Code: | ODE6306 | Units: | 6 | ||||

5 | Teacher's Academic Degree: | M.Sc. | Study System: | Year | Stage | 2 | ||||

6 | Teacher's Academic Title: | Assistant Lecturer | e-mail: rozhan.mahamad@koyauniversity.org | Dept. | DMAT | |||||

7 | ||||||||||

8 | No. | Weekly Subject Title | Status | %Coverage | Short Comment | |||||

9 | 1 | Basic definitions | Completed | 100.0% | ||||||

10 | 2 | Types of solution: Type 1, Type 2, Type 3, how to find DE from the general solution | Completed | |||||||

11 | 3 | Initial value problem and boundary value problem, how to find DE from the general solution | Completed | |||||||

12 | 4 | Equations of first order and first degree: Case 1, Case 2 | Completed | |||||||

13 | 5 | Equations of first order and first degree: Case 3 | Completed | |||||||

14 | 6 | Equations of first order and first degree: Case 4 | Completed | |||||||

15 | 7 | Equations of first order and first degree: Case 5 , Case 6 | Completed | |||||||

16 | 8 | Existence and Uniqueness theorem | Completed | |||||||

17 | 9 | Existence and Uniqueness theorem | Completed | |||||||

18 | 10 | Simultaneous DE. | Completed | |||||||

19 | 11 | Differential Equation of first order and higher degree: Case i | Completed | |||||||

20 | 12 | Differential Equation of first order and higher degree: Case ii | Completed | |||||||

21 | 13 | Differential Equation of first order and higher degree: Case iii | Completed | |||||||

22 | 14 | Differential Equation of first order and higher degree: Case iv | Completed | |||||||

23 | 15 | Linear Differential Equation: Linear dependence and independence | Completed | |||||||

24 | 16 | Linear Differential Equation: Linear dependence and independence | Completed | |||||||

25 | 17 | Homogeneous LDE with constant coefficients: Case 1 | Completed | |||||||

26 | 18 | Homogeneous LDE with constant coefficients: Case 2 | Completed | |||||||

27 | 19 | Nonhomogeneous LDE With Constant Coefficients: Case 1 | Completed | |||||||

28 | 20 | Nonhomogeneous LDE With Constant Coefficients: Case 1 | Completed | |||||||

29 | 21 | Nonhomogeneous LDE With Constant Coefficients: Case 1 | Completed | |||||||

30 | 22 | Nonhomogeneous LDE With Constant Coefficients: Case 1 | Completed | |||||||

31 | 23 | Nonhomogeneous LDE With Constant Coefficients: Case 2 | Completed | |||||||

32 | 24 | Nonhomogeneous LDE With Constant Coefficients: Case 2 | Completed | |||||||

33 | 25 | Nonhomogeneous LDE With Constant Coefficients: Case 3 | Completed | |||||||

34 | 26 | Nonhomogeneous LDE With variable Coefficients: Case 1 | Completed | |||||||

35 | 27 | Nonhomogeneous LDE With variable Coefficients: Case 1, solving some specific Eqs. | Completed | |||||||

36 | 28 | How to find particular solution for homo. LDE with variable coefficients: Case 1, Case 2 | Completed | |||||||

37 | ||||||||||

38 | ||||||||||

39 | ||||||||||

40 | ||||||||||

41 | ||||||||||

42 | ||||||||||

43 | ||||||||||

44 | Teacher's signature | Rozhan Mahamad Haji | Head of Dept. signature | |||||||

45 | ||||||||||

46 | ||||||||||

47 |

1 | Koya University - Faculty of Science and Health - Course Syllabus | |||||||||
---|---|---|---|---|---|---|---|---|---|---|

2 | ||||||||||

3 | Academic year: | 2016-2017 | Course Title: | Linear Algebra (Theory) | Hrs: | 4 | ||||

4 | Teacher's name: | Najem AbdallahMohammad | Course Code: | LAL6308 | Units: | 6 | ||||

5 | Teacher's Academic Degree: | M.Sc. | Study System: | Year | Stage | 2 | ||||

6 | Teacher's Academic Title: | Assistant Lecturer | e-mail: najem.mohammad@koyauniversity.org | Dept. | DMAT | |||||

7 | ||||||||||

8 | No. | Weekly Subject Title | Status | %Coverage | Short Comment | |||||

9 | 1 | Definition about the vector space , Algebraic properties of vectors | Completed | 100.0% | ||||||

10 | 2 | The dot product, Orthogonal vectors, The cross product and functional
analysis | Completed | |||||||

11 | 3 | Groups and Fields, Vector Spaces, Further Examples of Vector Spaces | Completed | |||||||

12 | 4 | Definition of Vector Subspace, Examples of Vector Subspaces, Intersections of Vector Subspaces. | Completed | |||||||

13 | 5 | Unions of Vector Subspaces, Sums of Vector Subspaces, Distributive
Spanning Sets, | Completed | |||||||

14 | 6 | Linear Independence, Constructing Linearly Independent Sets, Basis Sets | Completed | |||||||

15 | 7 | Dimension, Dimensions of Sums of Vector Subspaces, | Completed | |||||||

16 | 8 | Direct Sums of Vector Subspaces, Coordinates, | Completed | |||||||

17 | 9 | Ordered Bases,Solve the exercise | Completed | |||||||

18 | 10 | Monthly Examination 1 .Kernel and Image, | Completed | |||||||

19 | 11 | Solve the different examples about the Kernel and Image | Completed | |||||||

20 | 12 | Dimensions of the Kernel and Image, | Completed | |||||||

21 | 13 | Isomorphism’s of Vector Spaces ,Eigenvalues & Eigenvectors | Completed | |||||||

22 | 14 | Computing Eigenvectors and Eigenvalues for a Matrix, | Completed | |||||||

23 | 15 | Diagonalization of Matrices, Matrix Invariants and Eigenvalues. | Completed | |||||||

24 | 16 | Diagonalization of Matrices, Matrix Invariants and Eigenvalues, | Completed | |||||||

25 | 17 | Orthogonallity & orthogonal matrices | Completed | |||||||

26 | 18 | Orthogonal complements & orthogonal projections | Completed | |||||||

27 | 19 | The Gram- Schmidt, QR factorization | Completed | |||||||

28 | 20 | The modified QR factorization, | Completed | |||||||

29 | 21 | Orthogonal diagonalization of
symmetric matrices | Completed | |||||||

30 | 22 | Least Square Approximate, Least Square in QR fact | Completed | |||||||

31 | 23 | triangle inequalities and some theorems | Completed | |||||||

32 | 24 | Solve the different examples and some exercises | Completed | |||||||

33 | 25 | The pseudo inverse of a matrix,The singular value & Decomposition | Completed | |||||||

34 | 26 | Monthly Examination 2, Inner product space,Definitions & properties of Inner product space | Completed | |||||||

35 | 27 | Further Examples of Inner product space, | Completed | |||||||

36 | 28 | Cauchy Schwartz theorem and some examples | Completed | |||||||

37 | ||||||||||

38 | ||||||||||

39 | ||||||||||

40 | ||||||||||

41 | ||||||||||

42 | ||||||||||

43 | ||||||||||

44 | Teacher's signature | Head of Dept. signature | ||||||||

45 | ||||||||||

46 | ||||||||||

47 |

1 | Koya University - Faculty of Science and Health - Course Syllabus | |||||||||
---|---|---|---|---|---|---|---|---|---|---|

2 | ||||||||||

3 | Academic year: | 2016-2017 | Course Title: | Number &Graph Theory (Selective) (Theory) | Hrs: | 4 | ||||

4 | Teacher's name: | Noor Hazim HAsan | Course Code: | NGT6309 | Units: | 6 | ||||

5 | Teacher's Academic Degree: | M.Sc. | Study System: | Year | Stage | 2 | ||||

6 | Teacher's Academic Title: | Assistant Lecturer | e-mail: noor.hazim@koyauniversity.org | Dept. | DMAT | |||||

7 | ||||||||||

8 | No. | Weekly Subject Title | Status | %Coverage | Short Comment | |||||

9 | 1 | Introduction To Graph Theory | Completed | 100.0% | ||||||

10 | 2 | Undirected Graphs | Completed | |||||||

11 | 3 | Basic Concepts | Completed | |||||||

12 | 4 | Finite Graphs, Trivial Graph | Completed | |||||||

13 | 5 | Subgraphs | Completed | |||||||

14 | 6 | Isomorphic Graphs | Completed | |||||||

15 | 7 | Homeomorphic Graphs | Completed | |||||||

16 | 8 | Paths (Trail, Cycle) | Completed | |||||||

17 | 9 | Connectivity | Completed | |||||||

18 | 10 | Distance and Diameter | Completed | |||||||

19 | 11 | Cutpoints and Bridges | Completed | |||||||

20 | 12 | Konigsberg bridge problem | Completed | |||||||

21 | 13 | Traversable | Completed | |||||||

22 | 14 | Eulerian Graph | Completed | |||||||

23 | 15 | Hamiltonian Graph | Completed | |||||||

24 | 16 | Complete Graphs | Completed | |||||||

25 | 17 | Regular Graphs | Completed | |||||||

26 | 18 | Bipartite Graphs | Completed | |||||||

27 | 19 | Tree Graphs | Completed | |||||||

28 | 20 | Directed Graphs | Completed | |||||||

29 | 21 | Number Theory | Completed | |||||||

30 | 22 | Properties of the Integers | Completed | |||||||

31 | 23 | Definitions and basic ideas | Completed | |||||||

32 | 24 | Order and Inequalities, Absolute Value | Completed | |||||||

33 | 25 | Mathematical Induction | Completed | |||||||

34 | 26 | Division Algorithm (Division Algorithm using a Calculator) | Completed | |||||||

35 | 27 | Prime Numbers | Completed | |||||||

36 | 28 | Residue Classes | Completed | |||||||

37 | ||||||||||

38 | ||||||||||

39 | ||||||||||

40 | ||||||||||

41 | ||||||||||

42 | ||||||||||

43 | ||||||||||

44 | Teacher's signature | Head of Dept. signature | ||||||||

45 | ||||||||||

46 | ||||||||||

47 |

1 | Koya University - Faculty of Science and Health - Course Syllabus | |||||||||
---|---|---|---|---|---|---|---|---|---|---|

2 | ||||||||||

3 | Academic year: | 2016-2017 | Course Title: | Probability (Theory) | Hrs: | 4 | ||||

4 | Teacher's name: | Jehan Sherwan Ziad | Course Code: | PRB6307 | Units: | 6 | ||||

5 | Teacher's Academic Degree: | M.Sc. | Study System: | Year | Stage | 2 | ||||

6 | Teacher's Academic Title: | Assistant Lecturer | e-mail: jehan.ghafuri@koyauniversity.org | Dept. | DMAT | |||||

7 | ||||||||||

8 | No. | Weekly Subject Title | Status | %Coverage | Short Comment | |||||

9 | 1 | Random Experiments, Sample Spaces and Events | Completed | 100.0% | ||||||

10 | 2 | Definitions and the Concept of Probability | Completed | |||||||

11 | 3 | The Axioms of Probability | Completed | |||||||

12 | 4 | Some Important Theorems on Probability | Completed | |||||||

13 | 5 | Conditional Probability | Completed | |||||||

14 | 6 | Bayes’ Theorem | Completed | |||||||

15 | 7 | Fundamental Principle of Counting | Completed | |||||||

16 | 8 | Tree Diagrams, Permutations and Combinations | Completed | |||||||

17 | 9 | Types of random variables (Discrete and Continuous) | Completed | |||||||

18 | 10 | The probability density function (p.d.f) for Discrete r.v. | Completed | |||||||

19 | 11 | Cumulative distribution function (c.d.f) for Discrete r.v. | Completed | |||||||

20 | 12 | The probability density function (p.d.f) for Continuous r.v. | Completed | |||||||

21 | 13 | Cumulative distribution function (c.d.f) for Continuous r.v. | Completed | |||||||

22 | 14 | Change of Variables | Completed | |||||||

23 | 15 | Definition and theorems of Mathematical Expectation | Completed | |||||||

24 | 16 | Variance of Random variables | Completed | |||||||

25 | 17 | Moments function | Completed | |||||||

26 | 18 | Theorems and examples | Completed | |||||||

27 | 19 | Moments Generating function (m.g.f) of the random variables | Completed | |||||||

28 | 20 | Joint Probability Distribution Function (J.p.d.f) | Completed | |||||||

29 | 21 | Marginal Probability Distribution Function (m.p.d.f), (discrete r.v.) | Completed | |||||||

30 | 22 | Marginal Probability Distribution Function (m.p.d.f), (continuous r.v.) | Completed | |||||||

31 | 23 | Binomial Distribution | Completed | |||||||

32 | 24 | Poisson Distribution | Completed | |||||||

33 | 25 | Theorems and examples | Completed | |||||||

34 | 26 | Normal Distribution | Completed | |||||||

35 | 27 | Gamma Distribution | Completed | |||||||

36 | 28 | Theorems and examples | Completed | |||||||

37 | ||||||||||

38 | ||||||||||

39 | ||||||||||

40 | ||||||||||

41 | ||||||||||

42 | ||||||||||

43 | ||||||||||

44 | Teacher's signature | Head of Dept. signature | ||||||||

45 | ||||||||||

46 | ||||||||||

47 |

1 | Koya University - Faculty of Science and Health - Course Syllabus | |||||||||
---|---|---|---|---|---|---|---|---|---|---|

2 | ||||||||||

3 | Academic year: | 2016-2017 | Course Title: | Calculus (Theory) | Hrs: | 4 | ||||

4 | Teacher's name: | Rozhan Mahamad Haji | Course Code: | CAL6301 | Units: | 8 | ||||

5 | Teacher's Academic Degree: | M.Sc. | Study System: | Year | Stage | 1 | ||||

6 | Teacher's Academic Title: | Assistant Lecturer | e-mail: rozhan.mahamad@koyauniversity.org | Dept. | DMAT | |||||

7 | ||||||||||

8 | No. | Weekly Subject Title | Status | %Coverage | Short Comment | |||||

9 | 1 | Basic definitions | Completed | 100.0% | ||||||

10 | 2 | The Ordered Pairs and Cartesian product The Relation | Completed | |||||||

11 | 3 | Determination the Domain of algebraic function | Completed | |||||||

12 | 4 | Determination the Range of algebraic function | Completed | |||||||

13 | 5 | Graphs of functions, The Vertical Line Test The Greatest Integer & Least Integer Functions Linear Functions, Power Functions, Polynomials | Completed | |||||||

14 | 6 | Rational Functions, Algebraic Functions Trigonometric Functions, Exponential Functions Transcendental Functions | Completed | |||||||

15 | 7 | Shifting & Reflecting a Graph of a Function Combining Functions Composite Functions Even Functions and Odd Functions | Completed | |||||||

16 | 8 | The Essential properties of limits Theorems of limits | Completed | |||||||

17 | 9 | Continuous Functions Properties of Continuous Functions Polynomial and Rational Fun. are Continuous | Completed | |||||||

18 | 10 | The Essential Theorems of Differentiation Implicit Differentiation | Completed | |||||||

19 | 11 | Second and Higher Order Derivatives Rolle’s Theorem, The Mean Value Theorem L’Hôpital’s Rule, Chain Rule | Completed | |||||||

20 | 12 | Trigonometric Functions, Radian Measure Relation between Radians and Degrees Periodicity and Graphs of the Trigonometric Functions | Completed | |||||||

21 | 13 | Differentiation of Trigonometric Functions, Transcendental Function (non – algebraic function) | Completed | |||||||

22 | 14 | The Natural Logarithmic Function Logarithmic Differentiation | Completed | |||||||

23 | 15 | The Exponential Function( The General Exponential Fun. with base a, The Logarithm Function of base a ) (xLog a) | Completed | |||||||

24 | 16 | The Inverse Trigonometric Functions Hyperbolic Functions | Completed | |||||||

25 | 17 | The Inverse Hyperbolic Functions Monotonic Fun. and the First Derivative Test | Completed | |||||||

26 | 18 | Increasing Functions and Decreasing Functions First Derivative Test for Monotonic Functions | Completed | |||||||

27 | 19 | The essential theorems of integration The indefinite integrals | Completed | |||||||

28 | 20 | The definite integrals Integration of the trigonometric functions | Completed | |||||||

29 | 21 | Integration of the inverse trigonometric funs. Integration of the natural logarithmic functions | Completed | |||||||

30 | 22 | Integration of the exponential functions Integration of the exponential Fun. with base a | Completed | |||||||

31 | 23 | Integration of the hyperbolic Functions | Completed | |||||||

32 | 24 | Integration of the inverse hyperbolic Functions | Completed | |||||||

33 | 25 | Integration by parts Integration by partial fractions (1) | Completed | |||||||

34 | 26 | Integration by partial fractions (2) | Completed | |||||||

35 | 27 | Trigonometric Substitutions Integration of rational function for trigonometric functions | Completed | |||||||

36 | 28 | Improper integrals Substitution and area between curves | Completed | |||||||

37 | ||||||||||

38 | ||||||||||

39 | ||||||||||

40 | ||||||||||

41 | ||||||||||

42 | ||||||||||

43 | ||||||||||

44 | Teacher's signature | Rozhan Mahamad Haji | Head of Dept. signature | |||||||

45 | ||||||||||

46 | ||||||||||

47 |

1 | Koya University - Faculty of Science and Health - Course Syllabus | |||||||||
---|---|---|---|---|---|---|---|---|---|---|

2 | ||||||||||

3 | Academic year: | 2016-2017 | Course Title: | Foundations of Mathematics (Theory) | Hrs: | 4 | ||||

4 | Teacher's name: | Noor Hazim | Course Code: | MAT6302 | Units: | 6 | ||||

5 | Teacher's Academic Degree: | M.Sc. | Study System: | Year | Stage | 1 | ||||

6 | Teacher's Academic Title: | Assistant Lecturer | e-mail: noor.hazim@koyauniversity.org | Dept. | DMAT | |||||

7 | ||||||||||

8 | No. | Weekly Subject Title | Status | %Coverage | Short Comment | |||||

9 | 1 | Introduction | Completed | 100.0% | ||||||

10 | 2 | The Numbers | Completed | |||||||

11 | 3 | Logics (Propositional Logic) | Completed | |||||||

12 | 4 | Examples on Logics | Completed | |||||||

13 | 5 | The Beginnings of Formalization | Completed | |||||||

14 | 6 | The Sets | Completed | |||||||

15 | 7 | Operations on Sets | Completed | |||||||

16 | 8 | Some Properties of the complement and difference between sets: | Completed | |||||||

17 | 9 | Some Properties of the Intersection between sets | Completed | |||||||

18 | 10 | Some Properties of the complement and difference between sets: | Completed | |||||||

19 | 11 | Cartesian product | Completed | |||||||

20 | 12 | Relations | Completed | |||||||

21 | 13 | The composition of the relations | Completed | |||||||

22 | 14 | Types of Relations | Completed | |||||||

23 | 15 | Equivalence Relations | Completed | |||||||

24 | 16 | partition and quotient of sets | Completed | |||||||

25 | 17 | Ordered Relations | Completed | |||||||

26 | 18 | Partial order relation | Completed | |||||||

27 | 19 | Partially ordered sets | Completed | |||||||

28 | 20 | Bounded Sets | Completed | |||||||

29 | 21 | Totally ordered sets | Completed | |||||||

30 | 22 | Well oredered sets | Completed | |||||||

31 | 23 | Mappings | Completed | |||||||

32 | 24 | Some Types of mappings | Completed | |||||||

33 | 25 | Composition of mappings | Completed | |||||||

34 | 26 | Techniques for Proof Writing | Completed | |||||||

35 | 27 | Proof by Contradiction | Completed | |||||||

36 | 28 | Mathematical Induction | Completed | |||||||

37 | ||||||||||

38 | ||||||||||

39 | ||||||||||

40 | ||||||||||

41 | ||||||||||

42 | ||||||||||

43 | ||||||||||

44 | Teacher's signature | Head of Dept. signature | ||||||||

45 | ||||||||||

46 | ||||||||||

47 |

1 | Koya University - Faculty of Science and Health - Course Syllabus | |||||||||
---|---|---|---|---|---|---|---|---|---|---|

2 | ||||||||||

3 | Academic year: | 2016-2017 | Course Title: | Finite Mathematics (Theory) | Hrs: | 3 | ||||

4 | Teacher's name: | Najem Abdallah Mohammad | Course Code: | FMA6303 | Units: | 4 | ||||

5 | Teacher's Academic Degree: | M.Sc. | Study System: | Year | Stage | 1 | ||||

6 | Teacher's Academic Title: | Assistant Lecturer | e-mail: najem.mohammad@koyauniversity.org | Dept. | DMAT | |||||

7 | ||||||||||

8 | No. | Weekly Subject Title | Status | %Coverage | Short Comment | |||||

9 | 1 | Linear systems
-Definitions, solving linear system, Homogenous system, Non-homogeneous system, Elimination method | Completed | 100.0% | ||||||

10 | 2 | Matrices
-Definitions, types of matrices, matrix operations | Completed | |||||||

11 | 3 | properties of matrices, Transpose of matrix, properties of matrix transpose, | Completed | |||||||

12 | 4 | partition of matrices, Matrices and Euclidean form, Gaussian Elimination | Completed | |||||||

13 | 5 | Gauss-Jordan Elimination, inverse of matrix,Properties of inverse matrix. | Completed | |||||||

14 | 6 | Determinants -Definitions, properties of determinants,Cramer's rule, computing of determinates | Completed | |||||||

15 | 7 | Geometric application of determinants,Eigenvalues and Eigenvectors
Similarity and diagonalization, | Completed | |||||||

16 | 8 | Power matrix, mathematical induction,Complex number | Completed | |||||||

17 | 9 | -Introduction, operations on complex number, | Completed | |||||||

18 | 10 | properties of complex number,-Cartesian representation of the complex number, | Completed | |||||||

19 | 11 | polar representation of the complex number, | Completed | |||||||

20 | 12 | De Moivre's theorem and some examples | Completed | |||||||

21 | 13 | Polynomials Polynomials equation, types of degree polynomials equation, | Completed | |||||||

22 | 14 | Relation between the roots and the coefficients of polynomials, | Completed | |||||||

23 | 15 | Roots consist of numerical sequence, | Completed | |||||||

24 | 16 | Roots consist of geometric sequence | Completed | |||||||

25 | 17 | Homogeneous linear recurrences, relation, non-homogeneous linear | Completed | |||||||

26 | 18 | Recurrences relations, | Completed | |||||||

27 | 19 | solving homogeneous linear recurrences relations. | Completed | |||||||

28 | 20 | Combinatorial Analysis -Counting principle, | Completed | |||||||

29 | 21 | permutation and combination, | Completed | |||||||

30 | 22 | properties of permutation and combination, | Completed | |||||||

31 | 23 | second semester exam and solve the quastions of exam. | Completed | |||||||

32 | 24 | application by using permutation and combination,
Pascal’s. | Completed | |||||||

33 | 25 | Ecurrence relations Introduction to recurrences relations, | Completed | |||||||

34 | 26 | Example on recurrences relations, | Completed | |||||||

35 | 27 | Fibonacci sequence, linear recurrences, | Completed | |||||||

36 | 28 | solve the Fibonacci sequence, | Completed | |||||||

37 | ||||||||||

38 | ||||||||||

39 | ||||||||||

40 | ||||||||||

41 | ||||||||||

42 | ||||||||||

43 | ||||||||||

44 | Teacher's signature | Head of Dept. signature | ||||||||

45 | ||||||||||

46 | ||||||||||

47 |

1 | Koya University - Faculty of Science and Health - Course Syllabus | |||||||||
---|---|---|---|---|---|---|---|---|---|---|

2 | ||||||||||

3 | Academic year: | 2016-2017 | Course Title: | General Physics (Theory) | Hrs: | 2 | ||||

4 | Teacher's name: | Zmrud Asos Othman | Course Code: | PHY6304 | Units: | 4 | ||||

5 | Teacher's Academic Degree: | M.Sc. | Study System: | Year | Stage | 1 | ||||

6 | Teacher's Academic Title: | e-mail: zmrud.asos@koyauniversity.org | Dept. | DMAT | ||||||

7 | ||||||||||

8 | No. | Weekly Subject Title | Status | %Coverage | Short Comment | |||||

9 | 1 | Chapter one Chapter one: Physics and Measurement | Completed | 100.0% | ||||||

10 | 2 | 1-1:Units and length scales | Completed | |||||||

11 | 3 | 1-2:Classification of physical quantities, 1-3:Dimension formulae | Completed | |||||||

12 | 4 | Chapter Two: Vector Analysis | Completed | |||||||

13 | 5 | 2-1:Scalars and vectors Quantities ,2-2:Some Properties of vectors. | Completed | |||||||

14 | 6 | 2-3:Components of Vectors ,2-4:Unit vectors or vector analysis | Completed | |||||||

15 | 7 | 2-5:Magnitude of a vector ,2-6:Products of vectors | Completed | |||||||

16 | 8 | Chapter Three: Motion in One Dimension | Completed | |||||||

17 | 9 | 3-1:Motion ,3-2:Position ,Displacement | Completed | |||||||

18 | 10 | 3-3:Instantaneous velocity ,3-4:Average Velocity | Completed | |||||||

19 | 11 | 3-5: Motion with Constant Acceleration ,3-6: Motion with Constant Acceleration | Completed | |||||||

20 | 12 | 3-7:Average Acceleration ,3-8:Falling Objects | Completed | |||||||

21 | 13 | Chapter four: Motion in Two or Three Dimension | Completed | |||||||

22 | 14 | 4-1:Position and velocity vectors ,4-2:The acceleration vectors | Completed | |||||||

23 | 15 | 4-3:Projection in motion ,4-4:Motion in a circle | Completed | |||||||

24 | 16 | Chapter five: Newton's Law of Motion | Completed | |||||||

25 | 17 | 5-1:Force , 5-2: Newton's First law ,5-3:Newton's Second law | Completed | |||||||

26 | 18 | 5-4:Newton's Third law , 5-5:Newton’s Law of Gravity | Completed | |||||||

27 | 19 | Chapter six: Application of Newton's laws | Completed | |||||||

28 | 20 | 6-1:Using Newton's Second law ,6-2: Fractional Forces | Completed | |||||||

29 | 21 | 6-3:Dynamics of circular motion | Completed | |||||||

30 | 22 | Chapter seven: Momentum, Impulse and Collisions | Completed | |||||||

31 | 23 | 7-1:Momentum and Impulse ,7-2:Conservation of momentum | Completed | |||||||

32 | 24 | 7-3:Conservation of momentum in 1D | Completed | |||||||

33 | 25 | 7-4:Conservation of momentum in 2D ,7-5:Inelastic Collision | Completed | |||||||

34 | 26 | 7-6:Elastic Collisions ,7-7:Center of mass | Completed | |||||||

35 | 27 | Chapter eight: Work and Kinetic Energy | Completed | |||||||

36 | 28 | 8-1: Work,8-2:Work and Kinetic Energy,8-3:Work and energy with varying forces | Completed | |||||||

37 | ||||||||||

38 | ||||||||||

39 | ||||||||||

40 | ||||||||||

41 | ||||||||||

42 | ||||||||||

43 | ||||||||||

44 | Teacher's signature | Head of Dept. signature | ||||||||

45 | ||||||||||

46 | ||||||||||

47 |

1 | Koya University - Faculty of Science and Health - Course Syllabus | |||||||||
---|---|---|---|---|---|---|---|---|---|---|

2 | ||||||||||

3 | Academic year: | 2016-2017 | Course Title: | Kurdish Studies (Theory) | Hrs: | 2 | ||||

4 | Teacher's name: | Shadan Shukr Sabir | Course Code: | KRS8200 | Units: | 4 | ||||

5 | Teacher's Academic Degree: | M.Sc. | Study System: | Year | Stage | 1 | ||||

6 | Teacher's Academic Title: | Assistant Lecturer | e-mail: shadan.shukr@koyauniversity.org | Dept. | DMAT | |||||

7 | ||||||||||

8 | No. | Weekly Subject Title | Status | %Coverage | Short Comment | |||||

9 | 1 | سنورى كوردستان | Completed | 100.0% | ||||||

10 | 2 | جوگرافیایى كوردستان | Completed | |||||||

11 | 3 | دیاریكردنى سنورى كوردستان | Completed | |||||||

12 | 4 | مێژووى كورد و كوردستان | Completed | |||||||

13 | 5 | چاخى نوسین (مێژوویى) | Completed | |||||||

14 | 6 | چاخى گوتى | Completed | |||||||

15 | 7 | هەزارەی یەكەمى پ.ز ( دەوڵەتى ئوراتى) | Completed | |||||||

16 | 8 | كوردستان لەبەردەم فتوحاتى ئیسلامدا | Completed | |||||||

17 | 9 | كورد و كوردستان لە سەردەمى ئەمەوی و عەباسییەكاندا | Completed | |||||||

18 | 10 | كورد لەسەردەمى بوەیهى و توركە سەلجوقییەكاندا | Completed | |||||||

19 | 11 | زمانى كوردى | Completed | |||||||

20 | 12 | بۆچوونەكانى پەیدابوونى زمان | Completed | |||||||

21 | 13 | ئەركەكانى زمان | Completed | |||||||

22 | 14 | رِەچەڵەكى زمانى كوردى | Completed | |||||||

23 | 15 | دیالێكتەكانى زمانى كوردى | Completed | |||||||

24 | 16 | رِێنوسى لاتینى و هەندێ تایبەتمەندى زمانى كوردى | Completed | |||||||

25 | 17 | ئیدیەم لە زمانى كوردیدا | Completed | |||||||

26 | 18 | ئەدەبى كوردى و رِەگەزەكانى ئەدەب | Completed | |||||||

27 | 19 | شاعیرانى كورد و رِێبازى كلاسیزم | Completed | |||||||

28 | 20 | ئەدەبى كلاسیزمى كوردى لە دیالێكتى گۆران | Completed | |||||||

29 | 21 | ئەدەبى كلاسیزمى كوردى لە دیالێكتى كرمانجى سەرودا | Completed | |||||||

30 | 22 | سۆفیگەرى | Completed | |||||||

31 | 23 | ئەدەبى كلاسیزمى كوردى لە دیالێكتى كرمانجى خواروودا | Completed | |||||||

32 | 24 | قۆناغى پێش رۆمانسیزم و شاعیرانى كورد | Completed | |||||||

33 | 25 | شاعیرانى كورد و رِێبازى رِیالیزم | Completed | |||||||

34 | 26 | شیعرى كوردى لە ماوەى ساڵانى (1970 – 1991) | Completed | |||||||

35 | 27 | پەخشانى كوردى | Completed | |||||||

36 | 28 | چیرۆك ــ رِۆمان | Completed | |||||||

37 | ||||||||||

38 | ||||||||||

39 | ||||||||||

40 | ||||||||||

41 | ||||||||||

42 | ||||||||||

43 | ||||||||||

44 | Teacher's signature | Head of Dept. signature | ||||||||

45 | ||||||||||

46 | ||||||||||

47 |

1 | Koya University - Faculty of Science and Health - Course Syllabus | |||||||||
---|---|---|---|---|---|---|---|---|---|---|

2 | ||||||||||

3 | Academic year: | 2016-2017 | Course Title: | Academic English (Theory) | Hrs: | 2 | ||||

4 | Teacher's name: | Course Code: | ACE7500 | Units: | 4 | |||||

5 | Teacher's Academic Degree: | Study System: | Year | Stage | 1 | |||||

6 | Teacher's Academic Title: | e-mail: xxxx.xxxx@koyauniversity.org | Dept. | DMAT | ||||||

7 | ||||||||||

8 | No. | Weekly Subject Title | Status | %Coverage | Short Comment | |||||

9 | 1 | Completed | 21.4% | |||||||

10 | 2 | Completed | ||||||||

11 | 3 | Completed | ||||||||

12 | 4 | Completed | ||||||||

13 | 5 | Completed | ||||||||

14 | 6 | Completed | ||||||||

15 | 7 | Not completed | ||||||||

16 | 8 | Not completed | ||||||||

17 | 9 | Not completed | ||||||||

18 | 10 | Not completed | ||||||||

19 | 11 | Not completed | ||||||||

20 | 12 | Not completed | ||||||||

21 | 13 | Not completed | ||||||||

22 | 14 | Not completed | ||||||||

23 | 15 | Not completed | ||||||||

24 | 16 | Not completed | ||||||||

25 | 17 | Not completed | ||||||||

26 | 18 | Not completed | ||||||||

27 | 19 | Not completed | ||||||||

28 | 20 | Not completed | ||||||||

29 | 21 | Not completed | ||||||||

30 | 22 | Not completed | ||||||||

31 | 23 | Not completed | ||||||||

32 | 24 | Not completed | ||||||||

33 | 25 | Not completed | ||||||||

34 | 26 | Not completed | ||||||||

35 | 27 | Not completed | ||||||||

36 | 28 | Not completed | ||||||||

37 | ||||||||||

38 | ||||||||||

39 | ||||||||||

40 | ||||||||||

41 | ||||||||||

42 | ||||||||||

43 | ||||||||||

44 | Teacher's signature | Head of Dept. signature | ||||||||

45 | ||||||||||

46 | ||||||||||

47 |

1 | Koya University - Faculty of Science and Health - Course Syllabus | |||||||||
---|---|---|---|---|---|---|---|---|---|---|

2 | ||||||||||

3 | Academic year: | 2016-2017 | Course Title: | Academic Debate (Theory) | Hrs: | 2 | ||||

4 | Teacher's name: | Abdulqader Othman Hamadameen | Course Code: | ACD6500 | Units: | 4 | ||||

5 | Teacher's Academic Degree: | Ph.D. | Study System: | Year | Stage | 1 | ||||

6 | Teacher's Academic Title: | Lecturer | e-mail:adbulqaer.othman@koyauniversity.org | Dept. | DMAT | |||||

7 | ||||||||||

8 | No. | Weekly Subject Title | Status | %Coverage | Short Comment | |||||

9 | 1 | Mathematics 1.1. Introduction to mathematics. 1.2. Etymology. 1.3. Definitions of mathematics. 1.4. Fields of mathematics. | Completed | 100.0% | ||||||

10 | 2 | Completed | ||||||||

11 | 3 | Completed | ||||||||

12 | 4 | Completed | ||||||||

13 | 5 | 2.1. Researching for a Debate.
2.2. What is a debate? 2.3. Exploring the Topic. 2.4. Coming up with Keywords. 2.5. Brainstorming. 2.6. Importance of Research. 2.7. Looking for Information. 2.8. Searching tips. 2.9. Going Beyond Google. 2.10. Evaluate your sources. 2.11. Accuracy. 2.12. Purpose. 2.13. Authority. 2.14. Get Organized to Debate. 2.15. Thesis Statement. 2.16. Thesis examples. 2.17. Introduction. 2.18. Evidence. 2.19. Conclusion. 2.20. Rebuttal. 2.21. Debate Tips. | Completed | |||||||

14 | 6 | Completed | ||||||||

15 | 7 | Completed | ||||||||

16 | 8 | Completed | ||||||||

17 | 9 | Completed | ||||||||

18 | 10 | Scientific debate in mathematics course 3.1. What ‘s the matter? (What’s the Scientific debate?) 3.2. Principle of realization. 3.3. Difficulties and results. 3.4. Students in the first year of University. 3.5. Sorts of situation of debate. 3.5.1. Unexpected debate. 3.5.2. Debate built by professor. 3.5.3. Debate for some concept or theory. 3.6. what’s essential with scientific debate? | Completed | |||||||

19 | 11 | Completed | ||||||||

20 | 12 | Completed | ||||||||

21 | 13 | Discuss the reports of the first course prepared by the groups. | Completed | |||||||

22 | 14 | Completed | ||||||||

23 | 15 | Completed | ||||||||

24 | 16 | How to write an article? 4 Lecturer Dr. Abdulqader O. Hamadameen E-mail: Abdulqader.othman@koyauniversity.org 5.1. Steps of writing an article. 5.1.1. Step 1: Select your topic. 5.1.2. Step 2: Address your audience’s needs. 5.1.3. Step 3: Research. 5.1.4. Step 4: Tighten your draft. 5.1.5. Step 5: Make it specific. 5.1.6. Step 6: Read, revise and repeat. 5.2. Structure of the article. 5.2.1. Title. 5.2.2. Abstract. 5.2.3. Keywords. 5.2.4. Sections and subsections. 5.2.5. Conclusions. 5.2.6. References. | Completed | |||||||

25 | 17 | Completed | ||||||||

26 | 18 | Completed | ||||||||

27 | 19 | 6.1. How to write a thesis?
6.2. Structure of the thesis. 6.3 Main matter. 6.3. 1. Validation. 6.3.2. Supervisor Declaration. 6.3.3. Title. 6.3.4. Declaration. 6.3.5. Dedication. 6.3.6. Acknowledgement. 6.3.7. Abstract. 6.3.8. Table of Contents. 6.3.9. List of Tables. 6.3.10. List of Figures. 6.3.11. List of Abbreviations. 6.3.12. List of Symbols. 6.4. Chapter 1: Introduction. 6.5. Chapter 2: Literature Review. 6.6. Chapter 3: Research Methodology. 6.7. Chapter 4: Applications. 6.8. Chapter 5: Conclusions. 6.9. Back matter. 6.9.1. Thesis references. 6.9.2. appendices. | Completed | |||||||

28 | 20 | Completed | ||||||||

29 | 21 | Completed | ||||||||

30 | 22 | Completed | ||||||||

31 | 23 | Discuss the reports of the first course prepared by the groups. | Completed | |||||||

32 | 24 | Completed | ||||||||

33 | 25 | Completed | ||||||||

34 | 26 | Discuss the individual reports. | Completed | |||||||

35 | 27 | Completed | ||||||||

36 | 28 | Completed | ||||||||

37 | ||||||||||

38 | ||||||||||

39 | ||||||||||

40 | ||||||||||

41 | ||||||||||

42 | ||||||||||

43 | ||||||||||

44 | Teacher's signature | Head of Dept. signature | ||||||||

45 | ||||||||||

46 | ||||||||||

47 |