Syllabus for Calculus 1

Textbooks and Calculators
Required
1. Calculus: Concepts and Contexts, 2nd Edition, James Stewart
Brooks/Cole Publishing, ©2001, ISBN: 0534377181.

2. Graphing Calculator such as a TI-84 Plus, TI-86, or TI-89. Here is a buyers guide for calculators.
[Calculators with built in CAS (Computer Algebra System Calculator) such as a TI-89, HP 40G, Casio FX 2.0 are often not allowed on the ACT.] 

Optional 
1. Student Solutions Manual for Stewart's Single Variable Calculus: Concepts and Contexts, 2nd Edition, Jeffery A. Cole Anoka-Ramsey Community College
Published by Brooks/Cole, © 2001, ISBN: 0-534-37923-0.

2. How to Ace Calculus: The Streetwise Guide by Colin Adams, Joel Hass and Abigail Thompson

Notes:

Suggested Grading
75% Three tests (25% each)
25% Final Exam 

Suggested Schedule

Week

Sect

Title

Suggested HW Problems

1

1.1

Four Ways to Represent a Function

1, 5, 7, 19, 21, 23, 27, 31, 35, 39, 41, 43-50, 53
1

1.2

Mathematical Models

1, 3, 5, 7, 9, 11, 13
2

1.3

New Functions from Old Functions

1, 3, 5, 7, 15, 17, 21, 23, 25, 31, 37, 38, 49, 51, 53, 57
2

1.4

Graphing Calculators and Computers

1, 3, 7, 15, 17, 23
3

1.5

Exponential Functions

7-13 odd, 15, 23
3

1.6

Inverse Functions and Logarithms

1, 5-11 odd, 17, 23, 27, 31, 35, 37, 39, 49, 51, 57
4

1.7

Parametric Curves

1-13 odd, 27, 33
4

2.1

The Tangent and Velocity Problems    

1, 3, 5, 7
5

2.2

The Limit of a Function                         

1, 4, 9, 11, 13
6   TEST 1 (Covers 1.1 to 2.2)  
7

2.3

Calculating Limits using the Limit Laws                                                            


1, 3, 5, 9, 15, 17, 25, 27, 33, 35, 39, 41
7

2.4

Continuity                                              

1, 3, 5, 9, 11, 13, 15, 17, 19, 23, 25, 29, 31, 33, 35, 37
8

2.5

Limits Involving Infinity                       

1, 3, 5, 7, 9, 13, 15, 19, 23, 25, 27, 35, 39, 41, 43
8

2.6

Tangents, Velocities, and Other Rates of Change                                           


1-19 odd
9

2.7

Derivatives                                            

1-9 odd, 13, 17, 19, 21, 23, 25, 29, 31, 35, 36
9

2.8

The Derivative as a Function               

1, 3, 5, 9, 11, 15, 19, 23, 25, 31, 35, 43, 45
10

2.9

Linear Approximations                         

1, 3, 5, 9, 13
10

2.10

What Does  f¢ Say about  f?                 

1, 3, 5, 9, 12, 17, 19, 21, 25, 27
11

3.1

Derivatives of Polynomials and Exponential Functions                        


1, 5-21 odd, 31, 37, 41, 43, 45, 49, 53, 55, 59
11

3.2

The Product and Quotient Rules          

1-13 odd, 17, 27-39 odd
12

3.3

Rates of Change in the Natural and Social Sciences (mostly optional)       


1-13 odd, 19
12

3.4

Derivatives of Trigonometric Functions


1-11 odd, 13, 15, 17, 23-33 odd, 37, 41
13   TEST 2 (Covers 2.3 to 3.4)  
14

3.5

The Chain Rule                                     

1, 3, 5, 7, 11, 15, 17, 19, 21, 27, 29, 37, 41, 45, 47, 49, 53, 65, 67, 73
14

3.6

Implicit Differentiation                         

1, 3, 5, 11, 13, 15, 17, 23, 25, 27, 31, 37, 41, 43, 45, 49, 51
15

3.7

Derivatives of Logarithmic Functions  

3, 5, 9, 11, 15, 17, 19, 22, 27, 29, 31, 35, 39
15

3.8

Linear Approximations and Differentials (This section can be skiped and is skipped on the videos)

Optional: 1, 3, 5, 7, 17, 19, 21
16

4.1

Related Rates                                       

1, 5, 7, 11, 13, 14, 17, 19, 21, 23, 29, 33
16

4.2

Maximum and Minimum Values          

1, 3, 5, 7, 11, 15, 17, 19, 25, 27, 29, 33-43 odd, 51, 55
17

4.3

Derivatives and the Shapes of Curves

1, 3, 5, 11, 13, 17, 21, 23, 25, 27, 29, 41, 45
17

4.4

Graphing with Calculus and Calculators

1, 5, 11, 19
18

4.5

Indeterminate Forms and L’Hospital’s Rule                                                    


1, 3, 5, 7, 11, 15, 23, 29, 33, 41, 43, 51, 53, 57
18

4.6

Optimization Problems                          

7, 9, 11, 13, 17, 21, 23, 27, 29, 33, 39
19

4.7

Applications to Economics                     

1, 3, 9, 15, 17
19

4.8

Newton’s Method       
(This section can be skipped and is skipped on the videos)                  

(Optional)
20

4.9

Antiderivatives                                      

1, 5, 7, 9, 11, 13, 15, 19, 23, 25, 29, 35, 43, 45
21   TEST 3 (Covers 3.5 to 4.9)  
22   Review for Final  
23   Final Exam (Covers Ch 1 to Ch 4)