Calculus Chapter 5 Logarithmic, Exponential and other Transcendental Functions

Date

Assigned

Activity

Assignment

Learning Objective

Date

Due

 1/29

2/2

5.1 The Natural Logarithmic Function: Differentiation

Read pp 312-323

Prob: 4, 12, 16, 18, 20, 22, 26, 32, 48, 54,

pp 321-322

 

Students will know how to apply the properties of logarithms.

Students will be able to find the derivative of a natural logarithmic expression and know how to apply the chain rule.

 1/30

 2/3

5.2 The Natural Logarithmic Function: Integration

Read pp 324-331

Prob: 4, 8, 14, 18, 26 p 330

Students will be able to integrate rational functions.

Students will be able to use long division to simplify rational expressions.

Students will be able to use substitution to simplify rational expressions.

 

 2/10

5.3 Inverse Functions

Read pp 332-340

Prob: 4, 8, 18, 20, 26, 28, 32 p 338

Students will be able to determine the derivative of inverse functions.

 

 2/16

2/18

5.4 Exponential Functions: Differentiation and Integration

Read pp 341-350

Prob: Pt1: 2, 4, 6, 10, 14, 32, 42 pp347-348

Pt2: 70, 88, 92, 94, 96, 104 p 349

 

Students will solve for the number value of an unknown in logarithmic and

            exponential equations.

Students will use the first and second derivative to locate extrema and inflection points.

Students will integrate exponential expressions.

 

Extended absence for medical reasons

 3/4

3/10

5.5 Bases Other than e and Applications

Read pp 351-359

Prob: Pt1: 6, 12, 20, 22, 26, 42, 50 p 357

Pt2: 28, 46, 62, 66, 78, 80, 84, 86 pp 357-359

Students will take the derivative of a non e base exponential or logarithmic expression.

Students will solve for the unknown in a non e base situation.

Students will integrate a non e base exponential or logarithmic expression.

 

 3/13

Review Ch 5 Pt 1

 

 

Students will review chapter concepts and objectives.

3/17

 3/19

Test Ch 5 Pt 1

 

 

Students will demonstrate proficiency in the above objectives at 70% or better.

3/19

3/18

5.6 Differential Equations: Growth and Decay

Read pp 361-368

Prob: 2, 6, 12, 16, 18, 22, 34, 45, 63

pp 366-367

 

 Students will be able to solve differential equations of the form y’ = ky and apply the results to compounding interest, radioactive decay and population models.

 

4/6

5.7 Differential Equations: Separation of Variables

Read pp 369-379

Prob: 2, 10, 14, 22, 26, 32, 40, 48, 58

pp 377-378

 Students will be able to solve more complex differential equations.

 

4/8

 4/14

5.8 Inverse Trigonometric Functions: Differentiation

Read pp 380-387

Prob: Pt 1: 6-28 Even p 386;

Pt 2 42-52 Even p 386

 

 Students will be able to differentiate inverse trigonometric functions and use these patterns for future integration patterns.

 4/10

4/15

 4/16

5.9 Inverse Trigonometric Functions: Integration

Read pp 388-394

Prob: 2-36 Even p 393

 Students will be able to solve integration problems involving inverse trigonometric functions as results.

 4/20

 4/22

5.10 Hyperbolic Functions

Read pp 395-404

Prob: Pt 1: 2-14 Even p 403

Pt 2: 16-28 Even p 403

Pt 3: 40-54 Even p 403

 Students will be able to perform differentiation and integration with hyperbolic functions.

 4/24

 4/23

Review Ch 5 Pt 2

 

 

Students will review chapter concepts and objectives.

5/1

5/5

Test Ch 5 Pt 2

 

 

Students will demonstrate proficiency in the above objectives at 70% or better.

5/5