Instructor: Peter Nielsen

Course on canvas.dartmouth.edu.

Syllabus

Lectures Sections in Text Brief Description Daily homework problems
9/16 M Stewart 12.1 Introduction to 3-d coordinate system and distance

Stewart 12.1:

18, 24, 37, 31, 42

9/18 W Stewart 12.2 Vectors

Stewart 12:2

22, 25,35, 41, 43

9/20 F Linear Algebra
1.1-1.2
Linear equations and row reduction

Linear Algebra 1.2:

1,2,3,4a,5

9/23 M Linear Algebra 2.1 Linear combinations and spanning sets

Linear Algebra 2.1:

3,4,5

9/25 W Linear Algebra 2.2 Using a basis to provide a map of a subspace

Linear Algebra 2.2

1(c),(d),(e),  3, 4

9/27 F Linear Algebra 2.3 Vector equations of lines and planes

Linear Algebra 2.3

1a,c,e,2a,c,e,5,6,7,8ab

9/30 M Stewart 12.3 Dot products and orthogonality

 Stewart 12.3

 

24,26,29,42,44

10/2 W Stewart
12.3-12.4
Projections, cross products

Stewart 12.4

10,12,28,30

10/4 F Stewart 12.5 Equations of lines and planes

Stewart 12.5

13, 35, 40, 61, 67

10/7 M Review

None! Study for the exam

  10/8 T   Exam 1: 5:00-6:30    
10/9 W Stewart
13.1-13.2
Vector valued functions, space curves

Stewart 13.1:

5,21-26,32

Stewart 13.2:

5,6,23

10/11 F Stewart
13.2-13.3
Derivatives and integrals of vector valued functions, arclength

Stewart 13.2

25,35

Stewart 13.3

1,6

10/14 M Stewart 14.1-14.2 Functions of several variables and level sets, limits of functions in several variables

Stewart 14.1

9,11,45,47,71,72

10/16 W Stewart 14.2 Limit of functions of several variables

Stewart 14.2

6,10,15,18,37

10/18 F Linear Algebra 3.1-3.2 Matrix Operations

Linear Algebra 3.2

6,11,12,15,17,25

10/21 M Stewart 14.3, Linear Algebra 4.1 Partial derivatives and directional derivatives

Stewart 14.3

9,23,33,51,65,75

10/23 W Linear Algebra 4.1 Directional Derivatives

Linear Algebra 4.1

4.1.1(a)(b), 4.1.2(a), 4.1.3(a)(b) 4.1.5

10/25 F Linear Algebra 4.2 Differentiable functions and tangent planes

Stewart 14.4

1,3,5,11,15,17,19

10/28 M Linear Algebra 5.1-5.2 The language of functions, linear transformations

Linear Algebra 5.1

5.1.4

Linear Algebra 5.2

5.2.1

10/29 Tu Exam 2: 5:00-6:30

 

10/30 W No class No class

 

11/1 F Linear Algebra 5.2 Visualizing linear transformation

Linear Algebra 5.2

5.2.7, 5.2.8, 5.2.9, 5.2.13(a)(b), 5.2.14(b)(c)(d)

11/4 M Linear Algebra 5.3-5.4 Linear properties, rotations/reflections

Linear Algebra 5.3

5.3.3, 5.3.4

Linear Algebra 5.4

5.4.2

  11/6 W   Linear Algebra 5.6 Composition of linear transformations  

Linear Algebra 5.6

5.6.1, 5.6.3, 5.6.5

11/8 F Linear Algebra 6.1-6.2 Derivatives of real-valued functions

Linear Algebra 6.1

6.1.1, 6.1.3

11/11 M Linear Algebra 6.2 Derivatives of higher dimensions

Linear Algebra 6.2

6.2.1, 6.2.4

11/12 T X hour Stewart 14.6 Maximizing directional derivatives

Stewart 14.6:

7-10, 33, 43, 54

11/13 W Stewart 14.5,
Linear Algebra 6.4
The chain rule

Linear Algebra 6.4

6.4.1, 6.4.5, 6.4.6

Stewart 14.5

7, 22

11/15 F Stewart 14.7 Min/Max for functions with several variables

Stewart 14.7

15, 17, 19, 43, 49

11/18 M Stewart 14.7 Min/Max for functions with several variables
TBD Final Exam (take-home)