Math 121 Calculus I
Wesleyan University, Fall 2023
Textbook:Â
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
Chapter 6 Techniques of Integration
6.1 Integration by Parts