Calculus I

MATH 1241 Syllabus

Text: Calculus: Context & Concepts, by James Stewart

Week 1:

1.1

Four Ways to Represent a Function

 

1.2

Math Modeling

 

1.3

New Functions from Old Functions

Week 2:

1.4

Graphing Calculators and Computers

 

1.5

Exponential Functions

 

1.6

Inverse Functions and Logarithms

Week 3:

1.7

Parametric Curves

:

2.1

The Tangent and Velocity Problems

 

2.2

The Limit of a Function

 Week 4

2.3

Calculating Limits Using the Limit Laws

 

2.4

Continuity

 

2.5

Limits Involving Infinity

Week 5:

Review

 

First Test

 

2.6

Tangents, Velocities, and Other Rates of Change

Week 6:

2.7

Derivatives

 

2.8

The Derivative of a Function

 

2.9

Linear Approximations

Week 7:

2.10

What does f' say about f ?

:

3.1

Derivatives of Polynomials and Exponential Functions

 

3.2

The Product and Quotient Rules

 Week 8

3.3

Rates of Change in the Natural and Social Sciences

 

3.4

Derivatives of Trigonometric Functions

 

3.5

The Chain Rule

 Week 9

3.6

Implicit Differentiation

 

3.7

Derivatives of Logarithmic Functions

:

3.8

Linear Approximations and Differentials

 Week 10

Review

 

Second Test

:

4.1

Related Rates

 Week 11

4.2

Maximum and Minimum Values

 

4.3

Derivatives and the Shape of Curves

:

4.4

Graphing with Calculus and Calculators

 Week 12

4.5

Indeterminate Forms and líHŰspitalís Rule

 

4.6

Optimization Problems

:

4.6

Optimization Problems (continued)

 Week 13

4.8

Newtonís Method

 

4.9

Antiderivatives

 

Review

Week 14

Third Test

 

Catch-up

 

Review for the Common Final Exam