Calculus I Course Topics – MAT 241   Prof. Salane

Based on 7th edition of text

 

Day/week

Section

Topic

1/I 

1.1-1.6

Functions and Models

2.1

Tangent and Velocity Problems

3/II 

2.2

The Limits of a Function

2.3

Calculating Limits

5/III

2.4,2.5

Definition of Limit. Continuity

6

2.6, 2.7

Limits at Infinity,  Derivatives and Rates of Change

7/IV 

2.8

Derivative of a Function

3.1

Derivatives of Polynomials and Exponentials

9/V 

3.2

Product and Quotient Rules

10 

3.3

Derivatives of Trigonometric Functions

11/VI 

Exam I

 

12 

3.4

The Chain Rule

13/VII 

3.5

Implicit Differentiation

14

3.6, 3.7 ex 1, ex 3, ex 4

Derivatives of Logarithmic Functions

15/VIII 

3.9

Rates of Change

16 

3.8 (radioactive decay), 3.9 problems

Exponential Growth and Decay

17/IX 

3.10 Taylor Polynomials,

Quiz

Differentials

 

 

 

Day/week

Section

Topic

18 

4.1

Maximum and Minimum values

19/X

Exam II

 

20 

4.2

The Mean Value Theorem

21/XI 

4.3

Derivatives and Shape of Graph

22

4.4

Indeterminate Forms L’Hospital’s Rule

23/XII 

4.7

Optimization Problems

24 

4.8

Newton’s Method

25/XIII 

Exam III

 

26

4.9

5.1

 

Antiderivatives

Areas and Distances (introduction) 

27/XIV 

5.2

The Definite Integral (introduction)

28 

Final Exam