| A | B | C | D | |
|---|---|---|---|---|
1 | Problem Number | CED Topic | Topic Description | |
2 | Problem Set 01 | 1 | 6.10 | Integrating Functions Using Long Division and Completing the Square |
3 | Problem Set 01 | 2 | 6.12 | Using Linear Partial Fractions |
4 | Problem Set 01 | 3 | 8.4 | Finding the Area Between Curves Expressed as Functions of x |
5 | Problem Set 01 | 4 | 8.12 | Volume with Washer Method: Revolving Around Other Axes |
6 | Problem Set 02 | 1 | 7.7 | Finding Particular Solutions Using Initial Conditions and Separation of Variables |
7 | Problem Set 02 | 2 | 6.10 | Integrating Functions Using Long Division and Completing the Square |
8 | Problem Set 02 | 3a | 6.11 | Integrating Using Integration by Parts |
9 | Problem Set 02 | 3b | 6.11 | Integrating Using Integration by Parts |
10 | Problem Set 02 | 4 | 6.11 | Integrating Using Integration by Parts |
11 | Problem Set 03 | 1 | 6.9 | Integrating Using Substitution |
12 | Problem Set 03 | 2 | 6.11 | Integrating Using Integration by Parts |
13 | Problem Set 03 | 3 | 7.7 | Finding Particular Solutions Using Initial Conditions and Separation of Variables |
14 | Problem Set 03 | 4 | 8.8 | Volumes with Cross Sections: Triangles and Semicircles |
15 | Problem Set 04 | 1a | 2.3 | Estimating Derivatives of a Function at a Point |
16 | Problem Set 04 | 1b | 1.16 | Working with the Intermediate Value Theorem (IVT) |
17 | Problem Set 04 | 1c | 5.1 | Using the Mean Value Theorem |
18 | Problem Set 04 | 1d | 5.1 | Using the Mean Value Theorem |
19 | Problem Set 04 | 2 | 6.10 | Integrating Functions Using Long Division and Completing the Square |
20 | Problem Set 04 | 2 | 6.12 | Using Linear Partial Fractions |
21 | Problem Set 04 | 3 | 6.11 | Integrating Using Integration by Parts |
22 | Problem Set 05 | 1 | 10.11 | Finding Taylor Polynomial Approximations of Functions |
23 | Problem Set 05 | 2 | 2.1 | Defining Average and Instantaneous Rates of Change at a Point |
24 | Problem Set 05 | 3 | 7.3 | Sketching Slope Fields |
25 | Problem Set 05 | 4 | 6.4 | The Fundamental Theorem of Calculus and Accumulation Functions |
26 | Problem Set 06 | 1a | 5.6 | Determining Concavity of Functions over Their Domains |
27 | Problem Set 06 | 1b | 5.5 | Using the Candidates Test to Determine Absolute (Global) Extrema |
28 | Problem Set 06 | 1c | 6.11 | Integrating Using Integration by Parts |
29 | Problem Set 06 | 1d | 10.11 | Finding Taylor Polynomial Approximations of Functions |
30 | Problem Set 06 | 1 | 6.4 | The Fundamental Theorem of Calculus and Accumulation Functions |
31 | Problem Set 06 | 2 | 6.13 | Evaluating Improper Integrals |
32 | Problem Set 07 | 1a | 5.2 | Extreme Value Theorem, Global Versus Local Extrema, and Critical Points |
33 | Problem Set 07 | 1b | 5.6 | Determining Concavity of Functions over Their Domains |
34 | Problem Set 07 | 1c | 5.9 | Connecting a Function, Its First Derivative, and Its Second Derivative |
35 | Problem Set 07 | 1d | 6.7 | The Fundamental Theorem of Calculus and Definite Integrals |
36 | Problem Set 07 | 1e | 6.7 | The Fundamental Theorem of Calculus and Definite Integrals |
37 | Problem Set 07 | 2a | 5.7 | Using the Second Derivative Test to Determine Extrema |
38 | Problem Set 07 | 2b | 10.11 | Finding Taylor Polynomial Approximations of Functions |
39 | Problem Set 08 | 1 | 10.14 | Finding Taylor or Maclaurin Series for a Function |
40 | Problem Set 08 | 2 | 10.15 | Representing Functions as Power Series |
41 | Problem Set 08 | 3a | 10.13 | Radius and Interval of Convergence of Power Series |
42 | Problem Set 08 | 3b | 10.15 | Representing Functions as Power Series |
43 | Problem Set 08 | 4 | 10.15 | Representing Functions as Power Series |
44 | Problem Set 08 | 5 | 2.8 | The Product Rule |
45 | Problem Set 09 | 1a | 5.3 | Determining Intervals on Which a Function Is Increasing or Decreasing |
46 | Problem Set 09 | 1b | 6.13 | Evaluating Improper Integrals |
47 | Problem Set 09 | 1c | 10.4 | Integral Test for Convergence |
48 | Problem Set 09 | 1d | 10.6 | Comparison Tests for Convergence |
49 | Problem Set 09 | 2a | 2.2 | Defining the Derivative of a Function and Using Derivative Notation |
50 | Problem Set 09 | 2b | 10.11 | Finding Taylor Polynomial Approximations of Functions |
51 | Problem Set 10 | 1a | 1.11 | Defining Continuity at a Point |
52 | Problem Set 10 | 1b | 6.4 | The Fundamental Theorem of Calculus and Accumulation Functions |
53 | Problem Set 10 | 1c | 6.4 | The Fundamental Theorem of Calculus and Accumulation Functions |
54 | Problem Set 10 | 1d | 8.9 | Volume with Disc Method: Revolving Around the x- or y-Axis |
55 | Problem Set 10 | 2 | 6.11 | Integrating Using Integration by Parts |
56 | Problem Set 10 | 3a | 3.1 | The Chain Rule |
57 | Problem Set 10 | 3b | 3.4 | Differentiating Inverse Trigonometric Functions |
58 | Problem Set 11 | 1 | 6.3 | Riemann Sums, Summation Notation, and Definite Integral Notation |
59 | Problem Set 11 | 2a | 10.13 | Radius and Interval of Convergence of Power Series |
60 | Problem Set 11 | 2b | 10.11 | Finding Taylor Polynomial Approximations of Functions |
61 | Problem Set 11 | 2c | 10.15 | Representing Functions as Power Series |
62 | Problem Set 11 | 2d | 10.15 | Representing Functions as Power Series |
63 | Problem Set 12 | 1a | 2.1 | Defining Average and Instantaneous Rates of Change at a Point |
64 | Problem Set 12 | 1b | 1.15 | Connecting Limits at Infinity and Horizontal Asymptotes |
65 | Problem Set 12 | 1c | 6.3 | Riemann Sums, Summation Notation, and Definite Integral Notation |
66 | Problem Set 12 | 1d | 6.13 | Evaluating Improper Integrals |
67 | Problem Set 12 | 2a | 10.11 | Finding Taylor Polynomial Approximations of Functions |
68 | Problem Set 12 | 2b | 10.11 | Finding Taylor Polynomial Approximations of Functions |
69 | Problem Set 12 | 2c | 10.12 | Lagrange Error Bound |
70 | Problem Set 13 | 1 | 10.13 | Radius and Interval of Convergence of Power Series |
71 | Problem Set 13 | 2 | 10.13 | Radius and Interval of Convergence of Power Series |
72 | Problem Set 13 | 3a | 10.6 | Comparison Tests for Convergence |
73 | Problem Set 13 | 3b | 10.6 | Comparison Tests for Convergence |
74 | Problem Set 13 | 3c | 10.8 | Ratio Test for Convergence |
75 | Problem Set 13 | 3d | 10.14 | Finding Taylor or Maclaurin Series for a Function |
76 | Problem Set 14 | 1a | 7.4 | Reasoning Using Slope Fields |
77 | Problem Set 14 | 1b | 7.7 | Finding Particular Solutions Using Initial Conditions and Separation of Variables |
78 | Problem Set 14 | 1c | 10.11 | Finding Taylor Polynomial Approximations of Functions |
79 | Problem Set 14 | 2 | 8.7 | Volumes with Cross Sections: Squares and Rectangles |
80 | Problem Set 15 | 1a | 5.7 | Using the Second Derivative Test to Determine Extrema |
81 | Problem Set 15 | 1b | 6.11 | Integrating Using Integration by Parts |
82 | Problem Set 15 | 1c | 10.15 | Representing Functions as Power Series |
83 | Problem Set 15 | 1d | 6.7 | The Fundamental Theorem of Calculus and Definite Integrals |
84 | Problem Set 15 | 2 | 10.5 | Harmonic Series and p-Series |
85 | Problem Set 16 | 1 | 6.12 | Using Linear Partial Fractions |
86 | Problem Set 16 | 2 | 10.2 | Working with Geometric Series |
87 | Problem Set 16 | 3 | 10.8 | Ratio Test for Convergence |
88 | Problem Set 16 | 4 | 10.8 | Ratio Test for Convergence |
89 | Problem Set 17 | 1a | 10.11 | Finding Taylor Polynomial Approximations of Functions |
90 | Problem Set 17 | 1b | 4.6 | Approximating Values of a Function Using Local Linearity and Linearization |
91 | Problem Set 17 | 1c | 10.15 | Representing Functions as Power Series |
92 | Problem Set 17 | 1d | 8.4 | Finding the Area Between Curves Expressed as Functions of x |
93 | Problem Set 17 | 2a | 5.4 | Using the First Derivative Test to Determine Relative (Local) Extrema |
94 | Problem Set 17 | 2b | 5.5 | Using the Candidates Test to Determine Absolute (Global) Extrema |
95 | Problem Set 18 | 1 | 10.13 | Radius and Interval of Convergence of Power Series |
96 | Problem Set 18 | 2a | 2.3 | Estimating Derivatives of a Function at a Point |
97 | Problem Set 18 | 2b | 4.6 | Approximating Values of a Function Using Local Linearity and Linearization |
98 | Problem Set 18 | 2c | 5.1 | Using the Mean Value Theorem |
99 | Problem Set 18 | 3a | 8.8 | Volumes with Cross Sections: Triangles and Semicircles |
100 | Problem Set 18 | 3b | 8.7 | Volumes with Cross Sections: Squares and Rectangles |