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Math 10A at UCSD	Math 10B at UCSD	Math 10C at UCSD
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Lecture Examples

Math 10A Lecture Examples

Math 10B Lecture Examples

Math 10C Lecture Examples

Math 20B Lecture Examples

Math 20C Lecture Examples

Lecture Examples (Instructors' versions)

Math 20C Lecture Examples (Instructors' Versions)

Teaching

Math 20B, Summer 2009

Calculus text (under revision)

Table of contents

Sample Chapters

Chapter 0. Mathematical Models: Functions and Graphs

Section 0.1 Measuring and modeling: functions and graphs

Section 0.2 Set notation and solving inequalities

Section 0.3 Power and exponential functions

Section 0.4 Inverse functions and logarithms

Section 0.5 Trigonometric and inverse trigonometric functions

Section 0.6 Linear combinations, products, quotients, and compositions

Chapter 1. Limits and Continuity

Section 1.1 Finite limits

Section 1.2 Continuity

Section 1.3 Limits involving infinity

Section 1.4 Formal definitions of limits

Section 1.R Review exercises

Chapter 2. Derivatives and Applications

Section 2.1 Linear functions and constant rates of change

Section 2.2 Average rates of change

Section 2.3 Tangent lines, rates of change, and derivatives

Section 2.4 Derivatives of power functions and linear combinations

Section 2.5 Derivatives as functions and estimating derivatives

Section 2.6 Derivatives of products and quotients

Section 2.7 Derivatives of powers of functions

Section 2.8 Linear approximations and differentials

Section 2.R Review exercises

Chapter 6. Integrals and Applications

Section 6.1 Step function rates of change

Section 6.2 The definite integral

Section 6.3 The Fundamental Theorem, Part 1

Section 6.4 The Fundamental Theorem, Part 2

Section 6.5 Estimating definite integrals

Section 6.6 Integrals involving transcendental functions

Section 6.7 Integration by substitution

Section 6.R Review exercises

Chapter 14. Partial Derivatives

Section 14.1 Functions of two variables

Section 14.2 Partial derivatives with two variables

Section 14.3 Chain Rules with two variables

Section 14.4 Directional derivatives and gradient vactors

Section 14.5 Tangent planes and differentials

Section 14.6 Functions of n variables

Section 14.R Review exercises