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 l’Hôspital’s Rule 

4.6 
Optimization Problems 
: 
4.6 
Optimization Problems (continued) 
Week 13 
4.8 


4.9 
Antiderivatives 

Review 

Week 14 
Third Test 


Catchup 


Review for the Common Final Exam 