Math 8, Spring 2005,
Calculus of one and several variables

Covered topics

Text-book: Calculus, by James Stewart, Edition 5e, 2003, Thomson Brooks/Cole.


Lectures Sections in Text Brief Description
Day 1:  6.1
Areas between curves;
Day 2:  6.2 Volumes of Revolution
Day 3:  8.1 Integration by parts
Day 4:  8.2, 8.3 Trignometric Integrals and substitution
Day 5:  8.3, 8.4 Partial Fractions
Day 6:  8.7 Numeric Integration
Day 7:  8.8 Improper Integrals
Day 8:  12.1, 12.2 Sequences and Series
Day 9:  12.3, 12.4 Integral and Comparison Tests
Day 11:  12.8, 12.9 Power Series
Day 12:  12.9, 12.10 Taylor Series
Day 13:  12.10, 12.12 Taylor Series
Day 14:  13.1, 13.2 Coordinates and Vectors
Day 15:  15.3, 13.4 Scalar and Vector products
Day 16:  13.4, 13.5 Lines
Day 17:  13.5 Planes
Day 18:  14.1 Curves in space
Day 19:  14.2, 14.3 Arclength, velocity, acceleration
Day 20:  15.1 Functions of several variables
Day 21:  15.3 Partial derivatives
Day 22:  15.6 The Gradient Vector
Day 23:  15.4, 15.5 Chain-rule and directional derivatives
Day 24:  15.4, 15.5 Linear approximation, tangent planes
Day 25:  15.7 Maxima and Minima
Day 26:  15.7, 15.8 Extreme Values
Day 27:  15.7, 15.8 Lagrange Multipliers
Day 28:  Wrap up and review
Day 29:  Review