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Math 150A Fall 2001
Calculus and Analysis I
Bruce E. Shapiro, Ph.D.

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Lecture Notes
Chapter 1: pre-calc (Aug 27-Aug 28)
Chapter 2: functions (Aug 30)
Chapter 2: trig functions review
Chapter 2: introduction to limits (Sept 5 - Sept 6)
Chapter 2: Limits of Trig Functions (Sept 10)
Chapter 2: Limits at Infinity / Infinite Limits (Sept 12)
Chapter 2: Limits and Continuity (Sept 13)
Chapter 3: Introduction to Derivatives (Sept 18-20)
Chapter 3: Rules for Derivatives (Sept 26-Oct 1)
Chapter 3: Derivatives of Trig Functions (Oct 3)
Chapter 3: Derivative Formulas
Chapter 3: Chain Rule (Oct 3-4)
Chapter 3: Leibniz Notation (Oct 4)
Chapter 3: Higher Order Derivatives (Oct 8)
Chapter 3: Rate of Change Examples (Oct 8)
Chapter 3: Implicit Differentiation (Oct 10,11)(revised 10/13)
Chapter 3: Differentials (Oct 11,15)(revised 10/13)
Chapter 4: Extrema (Part 1) (Oct 24-31)
Chapter 4: Extrema (Part 2) (Oct 24-31)(includes curve plotting)
Chapter 4: Applications to Economics
Chapter 4: Mean Value Theorem (Nov 1)
Chapter 5: Introduction to Integrals (Nov 5)
Chapter 5: Differential Equations (Nov 7)
Chapter 5: Sums and the Sigma Notation (Nov 8; corrected version)
Chapter 5: Areas and the definite integral (corrected)
Chapter 5: More on definite integrals
Chapter 7: Logarithmic Functions
Chapter 7: Inverse functions
Chapter 7: Inverse trig functions
Table of Integrals
A much longer table of integrals

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