Calculus of One and Several Variables

Lectures	Sections in Text	Brief Description
Day 1:  3/26	10.1, 10.2	General DEs, models, direction fields (skip Euler's method)
Day 2:  3/28	10.3, 10.4	Separable equations (skip orthogonal trajectories), exponential growth
Day 3:  3/31	8.1, 10.6	Integration by Parts (quickly), First Order Linear Differential Equations
Day 4:  4/2	10.6, Appendix G	First Order Linear DE applications, Complex Numbers
Day 5:  4/4	Appendix G, 18.1	Complex Numbers, Second order linear DEs
Day 6:  4/7	18.1, 18.3	Second order linear DEs (continued); Applications
Day 7:  4/9	12.1, 12.2	Basics about sequences and series; geometric series
Day 8:  4/11	12.3, 12.4, 12.5, 12.6	Comparison test; Alternating series; Absolute convergence; Ratio test (quickly)
Day 9:  4/14	12.8, 12.9	Power Series; Representing functions as power series
Day 10:  4/16	12.10	Taylor Series
Day 11:  4/18	12.12	Error Estimates on Talyor polynomials
Day 12:  4/21	13.1, 13.2	Three dimensional coordinate systems, vectors
4/21		First Hour Exam 6 - 8 pm
Day 13:  4/23	13.3	Dot products
Day 14:  4/25	13.4	Cross products
Day 15:  4/28	13.5	Equations of lines
Day 16:  4/30	13.5	Equations of planes
Day 17:  5/2	14.1, 14.2	Vector functions and space curves, derivatives of vector functions
Day 18:  5/5	14.3, 14.4	Arc length, velocity and acceleration (motion problems)),
Day 19:  5/7	15.1, 15.2	Functions of several variables, limits, continuity
Day 20:  5/9	15.3	Partial derivatives (skip Cobb-Douglas function)
Day 21:  5/12	15.4	Tangent planes and approximation
5/13		Second Hour Exam 6 - 8 pm
Day 22:  5/14	15.5	Chain rule
Day 23:  5/16	15.6	Directional derivative and gradient
Day 24:  5/19	15.6, 15.7	Directional derivative and gradient (cont.); Maxima and minima
Day 25:  5/21	15.7	Maxima and minima (cont.)
Day 26:  5/23	15.8	Lagrange multipliers
Day 27:  5/27	15.8	Lagrange multipliers (cont.)
Day 28:  5/28	--	Review etc.