Math 8
Calculus of functions of one and several variables

Last updated December 11, 2016 10:33:19 EST

## 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.

Lectures Sections in Text Brief Description
Week 1
Jan. 4 (W) Chapter 4 Review of Math 3: Integration Techniques
X-Hour (Tu/Th) No class this week
Jan. 6 (F) 11.11 Taylor polynomials
Week 2
Jan. 9 (M) 11.10-11 Remainder estimates
Jan. 11 (W) + x-hour 11.2 and 11.4 Infinite series, geometric series, and the comparison test
Jan. 13 (F) 11.3 Integral Test
Week 3
Jan. 16 (M) No class - MLK Day
Jan. 18 (W) + x-hour 11.5 and 11.6 Root and ratio tests, radius of convergence, and alternating series
Jan. 20 (F) 11.8 Power series
Week 4
Jan. 23 (M) 11.9 Functions as power series
Jan. 25 (W) + x-hour 11.10 and 11.11 Taylor series and exam review
Jan. 26 (Th) Chapter 11 Exam 1: 5-7pm in Silsby 028
Jan. 27 (F) 12.1 Intro to $R^n$
Week 5
Jan. 30 (M) 12.2 Coordinates in $R^n$ as a vector space; distance formula; simple surfaces
Feb. 1 (W) + x-hour 12.3 and 12.6 Dot products, projections and surfaces
Feb. 3 (F) 12.3 More dot products and projections
Week 6
Feb. 6 (M) 12.4 Cross products and geometry; relation to volume/area
Feb. 8 (W) + x-hour 12.5 Lines in different forms; planes in vector and standard forms
Feb. 10 (F) 13.1-13.2 Vector functions and vector calculus
Week 7
Feb. 13 (M) 13.3 Derivatives and integrals along curves, arc length
Feb. 15 (W) + x-hour 14.1-14.2 Limits and continuity in 2- and 3-D and exam review
Feb. 16 (Th) Chapters 12 and 13 Exam 2: 5-7pm in Silsby 028
Feb. 17 (F) 14.3 Partial derivatives
Week 8
Feb. 20 (M) 14.4 Tangent planes and normal lines
Feb. 22 (W) + x-hour 14.5 and 14.2 Chain rule, limits, and continuity
Feb 24 (F) 14.6 Gradients and directional derivatives, I
Week 9
Feb. 27 (M) 14.6 Gradients and directional derivatives, II
Mar. 1 (W) + x-hour 14.7 Extreme values
Mar. 3 (F) 14.8 Lagrange multipliers, I
Week 10
Mar. 6 (M) 14.8 Lagrange multipliers, II
Mar. 8 (W) Wrap up
Mar. 11 (Sat.) Final Exam

Dartmouth Math Department
Last updated December 11, 2016 10:33:19 EST