Math 8
Calculus of Functions of One and Several Variables

Last updated June 23, 2014 15:20:16 EDT

## Syllabus

The following is a tentative syllabus for the course. This page will be updated irregularly.
On the other hand, the weekly syllabus contained in the Homework Assignments page will always be accurate.

Lectures Sections in Text Brief Description
1/5 12.1 Introduction and Sequences
1/7 12.2 Series
1/10 8.8, 12.3 Improper Integrals (through Example 4, p. 547), The Integral Test (through Example 4, p. 736)
1/12 12.4 Direct and Limit Comparison Tests (up to estimating sums, p. 744)
1/14 12.5 Alternating Series
1/17   No Class Martin Luther King day (class moves to x-hour)
1/18 (x-hour) 12.6, 12.7 The Ratio Test (upto p. 754), strategies
1/19 12.8 Power Series
1/21 12.9 Functions as Power Series
1/24 12.10 Taylor and Maclaurin Series (skip mult and division of series)
1/26 12.10 Taylor and Maclaurin Series (skip mult and division of series)
1/28 8.1 Integration by Parts
1/31 8.2 Trig integrals; up to boxed formula on p. 501
1/31   First Exam, 4-6 pm, 28 Silsby
2/2 8.3 Trigonometric Substitutions
2/4 13.1, 13.2 Three dimensional coordinates and vectors
2/7 13.3 The Dot Product (skip direction angles and direction cosines)
2/8 or 2/10 (x-hour) 13.4 The Cross Product
2/9 13.5 Lines and Planes
2/11   No class: Snow Day (aka Winter Carnival)
2/14 14.1, 14.2 Vector Functions and Space Curves, derviatives and integrals of vector-valued functions
2/16 14.3, 14.4 Arc Length (skip pp. 868--872), Motion in Space (skip middle p. 878 -- 882)
2/18 15.1, 15.2 Functions of several variables, Limits and Continuity
2/21 15.3 Partial Derivatives (skip the Cobb-Douglas Production function)
2/21   Second Exam, 4-6 pm, 28 Silsby
2/23 15.4 Tangent Planes and Linear Approximations
2/25 15.5 The Chain Rule
2/28 15.6 Directional Derivatives
3/2 15.6 Directional Derivatives
3/4 15.7 Maxima and Minima
3/7 15.7, 15.8 Maxima and Minima, Lagrange Multipliers
3/9 15.8 Largrange Multipliers and wrap up

T. R. Shemanske
Last updated June 23, 2014 15:20:16 EDT