Calculus of One and Several Variables
Last updated May 31, 2008 12:24:47 EDT

Lectures	Sections in Text	Brief Description
Day 1:  9/26	10.1, 10.2	General DEs, models, direction fields (skip Euler's method)
Day 2:  9/28	10.3, 10.4	Separable equations (skip orthogonal trajectories), exponential growth
Day 3:  10/1	8.1, 10.6	Integration by Parts(quickly), First Order Linear Differential Equations
Day 4:  10/3	10.6, Appendix G	First Order Linear DE applications, Complex Numbers
Day 5:  10/5	Appendix G, 18.1	Complex Numbers, Second order linear DEs
Day 6:  10/8	18.1	Second order linear DEs (continued)
Day 7:  10/10	18.3	Applications of Second order linear DEs
Day 8:  10/12	12.1, 12.2	Sequences, series (geometric, p-series - state result if insufficient time)
Day 9:  10/15	12.8, 12.9	Power Series, Representing functions as power series
Day 10:  10/17	12.10	Taylor Series
Day 11:  10/19	12.10	Error Estimates on Talyor polynomials (no physics applications required), no multiplication or division of power series
Day 12:  10/22	13.1, 13.2	Three dimensional coordinate systems, vectors
Day 12: 10/22		First Hour Exam 4 - 6 pm
Day 13:  10/24	13.3	Dot products (no direction cosines)
Day 14:  10/26*	13.4	Cross products (Classes meet in x-hour instead of Friday)
Day 15:  10/29	13.5	Equations of lines
Day 16:  10/31	13.5	Equations of planes
Day 17:  11/2	14.1, 14.2	Vector functions and space curves, derivatives of vector functions (skip integrals,
Day 18:  11/5	14.3, 14.4	Arc length (skip curvature), velocity and acceleration (motion problems)),
Day 19:  11/7	15.1, 15.2	Functions of several variables, limits, continuity
Day 20:  11/9	15.3	Partial derivatives (skip Cobb-Douglas function)
Day 21:  11/12	15.4	Tangent planes and approximation
Day 21: 11/12		Second Hour Exam 4 - 6 pm
Day 22:  11/14	15.5	Chain rule (skip implicit differentiation)
Day 23:  11/16	15.6	Directional derivative and gradient
Day 24:  11/19	15.6	Directional derivative and gradient (cont.)
		Thanksgiving break 11/21 and 11/23
Day 25:  11/26	15.7	Maxima and minima
Day 26:  11/28	15.7	Maxima and minima (cont.)
Day 27:  11/30	15.8	Lagrange multipliers
Day 28:  12/3	15.8	Lagrange multipliers (cont.), Loose ends, questions, etc.

Last modified on May 31, 2008 12:24:47 EDT by trs Graphics by The Gimp.