MTH 212 Multivariate Calculus (Fall 2019):

This course studies differential and integral calculus of real and vector valued functions. Topics include continuity, partial differentiation, implicit functions, gradient, curl, line, surface, and multiple integrals, inverse functions, theorems of Green and Stokes.
Week
of
Sections to Read and
Suggested Problems for Practice
Class Materials and Assignments

8/25 § 10.1: exer. 1,5,13,19,23,36,38,39

§ 10.2: exer. 3,9,13,21,25,29,31,41,43,45,47

§10.1 notes
§10.2 notes
Intersection and collision points

Read Mathematica tutorials

Cycloid demo
Brachistochrone demo

Some trig integrals review

9/1 No class on 9/2 (Labor Day)

§ 10.3: exer. 1,3,5,7,9,13,17,21,25,27,31,33,37,41,47,53,59,63

§ 10.4: exer. 1,5,9,13,15,17,19,21,27,29,31

§ 10.5: exer. 1,5,9,13,15,19,21,23,25
§10.3 notes
§10.4 notes
§10.5 notes

Lab on 9/4/19: notebook

WeBWorK Orientation due 9/3

WeBWorK1 due 9/6

9/8 A4: exer. 9,13,17,21,25,27,33,35,37,39,41,43,47,51,55,
57,59,63,65

§ 10.6: exer. 1,5,9,15,17,23-33 odd,
37,41,45,53,65-71 odd,75,76

§ 11.1: exer. 1,5,11,13,17,21,25,27,29,31,35,39,43,47,
51,57,59,61,65

§ 11.2: exer. 1,5,9,13,15,17,21,23,25,29,31,33,35,39,41,
43,45,49,51

Appendix A4 notes
Handout on Conics and Conics demo

§10.6 notes
§11.1 notes
§11.2 notes

Lab on 9/11/19: notebook

Project 1: due 9/10; Project 1 Help file

WeBWorK2 due 9/13

9/15 § 11.3: exer. 1,5,7,9,13,15,17,19,23,25,29,31-33,37,43,45

§ 11.4: exer. 3,7,9,13,17,21,23,25,27,29,31,33,37,39,43,47
§11.3 notes
§11.4 notes

Dot Product vs. Cross Product

Lab on 9/18/19: notebook

WeBWorK3 due 9/20

9/22 Exam I on 9/23 (Monday)

§ 11.5: exer. 1,3,7,9,13,19,21,23,25,27,29,31,35,41,
45,47,49,55,57,61,63-71 odd

§ 11.6: exer. 1-12,13,19,23,27,31,33,37,41,45
§11.5 notes

Lab on 9/25/19: notebook

Exam I: study guide and formula sheet
practice problems for Exam I with solutions

Exam I solutions: Section A and Section B

WeBWorK4 due 9/30 (Monday)

9/29 § 12.1: exer. 1,5,9,13,15,16,19,21,23,25,27-34

§ 12.2: exer. 1,5,9,11,15,17,33-36

§ 12.3: exer. 1,3,5,9,11,13,17,18

§ 12.4: exer. 1,3,5-8,9,13,17,19,25
§§12.1,12.2 notes
Demo on space curves: notebook

§12.3 notes
§12.4 notes

Lab on 10/2/19: notebook

Project 2: due 10/1; Project 2 Help file

WeBWorK5 due 10/5

10/6 No class on Friday - Fall Recess 10/10 and 10/11

§ 12.5: exer. 1,5,7,9,13,17,19,21,23,24,28

§ 13.1: exer. 1-29 odd,31-36,43,49,55,59,61,63

§12.5 notes
Demo on TNB-frame and acceleration: notebook

Optional: §12.6 notes
Video on Kepler's Laws

§13.1 notes

Lab on 10/9/19 (§ 13.1): notebook

10/13 § 13.2: exer. 1,7,11,13,17,21,25,29,31-55 odd,60,61,65,67

§ 13.3: exer. 1,5,9,17,19,23,29,31,35,37,39,41,47,51,53,
55,61,65,67,69,75,83

Exam II on 10/15 (Tuesday)
§13.2 notes
Lab on 10/16/19: notebook

§13.3 notes
Demo on partial derivatives: notebook

Exam II study guide and formula sheet
practice problems for Exam II with solutions

Exam II solutions: Section A and Section B

WeBWorK6 due 10/15

10/20 § 13.4: exer. 1,5,7,9,11,25,29,33,37,39,41,43

§13.5: exer. 1,5,7,11,15,19,23,27-37 odd
§13.4 notes
§13.5 notes

Project 3: due 10/22; Project 3 Help file

WeBWorK7 due 10/23

10/27 §13.6: exer. 1,5,9,13,17,25,27,39,55

§13.7: exer. 1,7,9,13,17,23,27,31,35,37,41,44,51,53,59,61,63

§13.6 notes

Lab on 10/30/19: notebook

§13.7 notes

Demo on Min/Max/Saddle points: notebook

WeBWorK8 due 10/30

11/03 §13.8: exer. 1,5,9,13,15,17,21,23,29,31,33,37,41,43

§14.1: exer. 1,5,9,13,15,19,21,25,27

§14.2: exer. 1-11 odd,15,19,23,27,29,33,37,41,45,47,
51, 55, 57, 59, 61, 65, 69

§14.3: exer. 1,5,9,13,17,19,21,23

Lagrange multipliers:
§ 13.8 notes
video from Khan Academy

§ 14.1 notes

Lab on 11/06/19: notebook

§ 14.2, 14.3 notes

Project 4: due 11/5
Project help: see Lab 10/09/19 and Lab 10/30/19

WeBWorK9 due 11/6

11/10 § 14.4: exer. 1,3,5,7,9,13,17,21-33 odd,37-43 odd

Exam III on 11/12 (Tuesday)
Exam III study guide and formula sheet
practice problems for Exam III with solutions

WeBWorK10 due 11/14

11/17 Project 5: due 11/22
Project help: Demo on min/max/saddle points and Project 5 Help file