# Math 11 Syllabus

Fall 1997

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.

## Tentative Syllabus for Math 11

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