Calculus of One and Several Variables, Honors

 General Information Syllabus Homework Assignments Exam Related

Syllabus

The following is a tentative syllabus for the course.  Individual instructors will deviate somewhat from the listed dates, particularly during weeks when X-hours are used.  Math 9 and Math 8, which cover the same topics, will differ in their treatment of these topics.

Lectures Sections in Text Brief Description
Day 1:  9/22 6.1, 6.2 Areas between curves, volumes of revolution
Day 2:  9/24 8.1 Integration by parts
Day 3:  9/27 8.2, 8.3 Trigonometric integrals, trigonometric substitution
Day 4:  9/29 8.4, 8.8 Partial fractions (through p. 535), improper integrals (through p. 572)
Day 5:  10/1 12.1, 12.2 Sequences, series of constants
Day 6:  10/4 12.2, 12.3 Series, integral test
Day 7:  10/6 12.3, 12.4 Integral test, comparison tests
Day 8:  10/8 12.4, 12.5 Comparison tests, alternating series
Day 9:  10/11 12.6 Absolute and conditional convergence, root test, ratio test
Day 10:  10/13 12.8, 12.9 Functions as power series
Day 11:  10/15 12.10 Taylor and Maclaurin series
Day 12:  10/18 12.10 Taylor and Maclaurin series
10/18 afternoon   First Midterm 4 - 6 pm
Day 13:  10/20 13.1, 13.2 Points and vectors in 2-space and 3-space
Day 14:  10/22 13.3 Dot product
Day 15:  10/25 13.4 Cross product
Day 16:  10/27 13.5 Lines in 3-space
Day 17:  10/29 13.5 Planes in 3-space
Day 18:  11/1 14.1, 14.2 Vector functions, space curves, derivatives and integrals
Day 19:  11/3 14.3, 14.4 Arc length (skip normal and binormal vectors, skip arclength parametrization), velocity and acceleration (skip tangential and normal components of acceleration, skip Kepler)
Day 20:  11/5 15.1, 15.2 Functions of several variables, limits, continuity
Day 21:  11/8 15.3 Partial derivatives (skip partial differential equations and Cobb-Douglas function)
11/8 afternoon   Second Midterm 4 - 6 pm
Day 22:  11/10 15.4 Tangent planes and approximation
Day 23:  11/12 15.5 Chain rule
11/12   Last day to drop
Day 24:  11/15 15.6 Directional derivatives
Day 25:  11/17 15.6 Directional derivatives and the gradient
Day 26:  11/19 15.7 Maxima and minima
Day 27:  11/22 15.7 Maxima and minima
11/24 - 11/28   Thanksgiving break
Day 28:  11/29 15.8 Lagrange multipliers
Day 29:  12/1 15.8 Lagrange multipliers