Math 8
Calculus of Functions of One and Several Variables
Last updated June 25, 2009 14:49:15 EDT

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Syllabus


Lectures Sections in Text Brief Description
3/28 8.1 Review of substitution; Integration by parts
3/30 8.2/8.3 Trigonometric integrals; trigonometric substitution
4/2 8.3/8.4 Trigonometric substitution; simple partial fractions
4/4 8.8 Improper integrals
4/6 12.1/12.2 Sequences and series
4/9 12.2/12.3 Geometric series; integral test
4/10 (x-hour) 12.4 Comparison tests
4/11 12.5/12.6 Alternating series test; absolute convergence
4/13 No Class
4/16 12.6 Ratio and root tests
4/18 12.8 Power series
4/19 Exam 1
4/20 12.9 Representations of functions as power series
4/23 12.10 Taylor and Maclaurin series
4/25 12.10 Taylor and Maclaurin series
4/27 13.1/13.2 Coordinates and vectors in R^2 and R^3
4/30 13.3 Dot product
5/2 13.4 Cross product
5/4 13.5 Equations of lines and planes
5/7 14.1/14.2 Vector functions, space curves, derivatives and integrals
5/8 Exam 2
5/9 14.3/14.4 Arclength, velocity, acceleration
5/11 15.1/15.2 Functions of several variables, limits, continuity
5/14 15.3 Partial derivatives
5/16 15.4 Tangent planes and linear approximation
5/18 15.5 Chain rule
5/21 15.6 Directional derivatives
5/23 15.6 Gradient
5/25 15.7 Maxima and minima
5/30 15.7 Maxima and minima


Stephanie Treneer

Last updated June 25, 2009 14:49:15 EDT