Math 20A Summer I 2022

Week 1

• Tuesday: 2.1 The Limit Idea, 2.2 Investigating Limits, 2.3 Basic Limit Laws, 2.4 Limits and Continuity.

• Thursday: 2.5 Indeterminate Forms, 2.6 Squeeze Theorem & Trigonometric Limits, 2.7 Limits at Infinity, 2.8 Intermediate Value Theorem.

Week 2

• Tuesday: 3.1 Definition of the Derivative, 3.2 The Derivative as a Function, 3.3 Product and Quotient Rules.

• Thursday: 3.4 Rates of Change, 3.5 Higher Derivatives, Midterm 1.

Week 3

• Tuesday: 3.6 Trigonometric Functions, 3.7 The Chain Rule, 3.8 Implicit Differentiation.

• Thursday: 3.9 Exponential and Logarithmic Functions, 3.10 Related Rates, 4.1 Linear Approximation.

Week 4

• Tuesday: 4.2 Extreme Values, Midterm 2.

• Thursday: 4.3 The Mean Value Theorem and Monotonicity, 4.4 The Second Derivative and Concavity, 4.5 L'Hôpital's Rule.

Week 5

• Tuesday: 4.7 Applied Optimization, 5.1 Approximating and Computing Area, 5.2 The Definite Integral.

• Thursday: 5.3 The Indefinite Integral, 5.4 The Fundamental Theorem of Calculus I, 5.5 The Fundamental Theorem of Calculus II.