## Calculus of One and Several Variables, Honors

 General Information Syllabus Homework Assignments Exam Related

## Syllabus

The following is a tentative syllabus for the course. This page will be updated irregularly. On the other hand, the weekly syllabus contained in the Homework Assignments page will always be accurate.  You may notice that the syllabus is similar to that of Math 8.  This is no coincidence - while the topics in Math 9 are virtually the same as those in Math 8, the treatment of these topics will differ.

Lectures Sections in Text Brief Description
Day 1:  9/24 10.1, 10.2 General DEs, models, direction fields (skip Euler's method)
Day 2:  9/26 10.3, 10.4 Separable equations (skip orthogonal trajectories), exponential growth
Day 3:  9/29 8.1, 10.6 Integration by Parts (quickly), First Order Linear Differential Equations
Day 4:  10/1 10.6, Appendix G First Order Linear DE applications, Complex Numbers
Day 5:  10/3 Appendix G, 18.1 Complex Numbers, Second order linear DEs
Day 6:  10/6 18.1, (18.3 optional) Second order linear DEs; (Optional applications: vibrating springs and damped vibrations)
Day 7:  10/8 12.1, 12.2 Basics about sequences and series; geometric series
Day 8:  10/10 12.3, 12.4, 12.5 Comparison test; Alternating series; Absolute convergence (quickly)
Day 9:  10/13 12.6, 12.8, Ratio test; Power Series
Day 10:  10/15 12.9, 12.10 Representing functions as power series; Taylor Series
Day 11:  10/17 12.10 Taylor Series
Day 12:  10/20 12.12 Error estimates on Talyor polynomials (skip Example 3)
10/20 evening   First Midterm 6 - 8 pm
Day 13:  10/22 13.1, 13.2 Three dimensional coordinate systems, vectors
Day 14:  10/24 13.3, 13.4 Dot products, Cross products
Day 15:  10/27 13.5 Equations of lines
Day 16:  10/29 13.5 Equations of planes
Day 17:  10/31 14.1, 14.2 Vector functions and space curves, derivatives of vector functions
Day 18:  11/3 14.3, 14.4 Arc length (Skip binormal), velocity and acceleration (Skip Kepler),
Day 19:  11/5 15.1, 15.2 Functions of several variables, limits, continuity
Day 20:  11/7 15.3 Partial derivatives (skip Cobb-Douglas function)
Day 21:  11/10 15.4 Tangent planes and approximation
11/10 evening   Second Midterm 6 - 8 pm
Day 22:  11/12 15.5 Chain rule
Day 23:  11/14 15.5, 15.6 Chain rule (cont.), Directional derivative and gradient
11/14   Last day to drop
Day 24:  11/17 15.6 Directional derivative and gradient (cont.)
Day 25:  11/19 15.7 Maxima and minima
Day 26:  11/21 15.7 Maxima and minima (cont.)
Day 27:  11/24 15.8 Lagrange multipliers
11/26 - 11/31   Thanksgiving break
Day 28:  12/1 15.8 Lagrange multipliers (cont.), Loose ends, questions, etc.
Day 29:  12/3 -- Review etc.