Math 11 Syllabus

The following is a tentative syllabus for the course. This page will be updated irregularly. On the other hand, the weekly syllabus and assignment sheet will always be accurate.

Lectures	Sections in Text	Brief Description
9/24	17.1	General Notions of ODEs, Slope Fields
9/26	17.2, 17.4	Separable Equations and Applications (mixing, growth, cooling)
9/29	8.1	Integration by Parts
10/1	8.2	Trigonometric Integrals
10/3	8.3	Trigonometric Substitutions
10/6	8.4	Partial Fractions
10/8	17.3	General First Order Linear DE (motion in viscous medium)
10/10	17.5, 17.7	Vibrating Spring and 2nd order constant coeff DE (real roots)
10/13	17.5 + extra	Intro to complex numbers; 2nd order const coeff DE (complex roots)
10/15	6.1, 6.2	Area between curves, volumes of revolution
10/17	6.2, 6.3	Volumes of Revolution
10/20	8.6	Improper Integrals
10/22	8.6	Improper Integrals plus Gamma function
10/22		First Hour Exam
10/24	5.5	Midpoint, Trapezoid, Simpson (Lagrange Interpolation) No error formulas
10/27	5.5, 10.1	Error formulas for numerical integration, Approximation of functions
10/29	10.1	Approximation of Functions (no remainders or errors)
10/31	10.2	Sequences
11/3	10.3	Series of constants
11/5	10.4	Integral and Comparison tests
11/7	10.5	Ratio and Root Tests
11/10	10.6	Absolute and Conditional Convergence
11/12	10.7	Power Series (radius and interval of convergence)
11/12		Second Hour Exam
11/14	10.8	Integration and Differentiation of power series
11/17	10.1, 10.9	Remainder Terms, Errors, and Taylor Series
11/19	11.1, 11.3	Vectors in R^2 and R^3
11/21	11.2, 11.3	Dot product, projections, components
11/24	11.4	Cross Products
11/26	11.5	Lines in R^3
11/28		No class - Thanksgiving Break
12/1	11.6	Equations of Planes
12/3		Loose ends, review