Math 121 Calculus I

Textbook: 

• Essential Calculus by James Stewart, 2nd Edition.

Software:

None

Topics:

Chapter 1 Functions and Limits

1.3 The Limit of a Function
1.4 Calculating Limits
1.5 Continuity
1.6 Limits Involving Infinity

Chapter 2 Derivatives

2.1 Derivatives and Rates of Change
2.2 The Derivative as a Function
2.3 Basic Differentiation Formulas
2.4 The Product and Quotient Rules
2.5 The Chain Rule
2.7 Related Rates
2.8 Linear Approximations and Differentials

Chapter 3 Applications of Differentiation

3.1 Maximum and Minimum Values
3.2 The Mean Value Theorem
3.3 Derivatives and the Sapes of Graphs
3.4 Curve Sketching
3.5 Optimization Problems
3.7 Antiderivatives

Chapter 4 Integrals

4.1 Areas and Distances
4.2 The Definite Integral
4.3 Evaluating Definite Integrals
4.4 The Fundamental Theorem of Calculus
4.5 The Substitution Rule