MTH 212 Multivariate Calculus (Spring 2019):

This course studies differential and integral calculus of real and vector valued functions. Topics include continuity, partial differentiation, implicit functions, Taylor's Theorem, 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

1/13 § 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

§ 10.3: exer. 1,3,5,7,9,13,17,21,25,27,31,33,37,41,47,53,59,63
§10.1 notes
§10.2 notes
Intersection and collision points
§10.3 notes

Read Mathematica tutorials

Cycloid demo
Brachistochrone demo

Some trig integrals review

WeBWorK Orientation due 1/22

1/20 No class on 1/21 (MLK Day)

§ 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
§10.4 notes
§10.5 notes

WeBWorK1 due 1/26

1/27 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
Appendix A4 notes
Handout on Conics and Conics demo
§10.6 notes
§11.1 notes

Lab on 1/30/19: notebook

Project 1: due 1/30; Project 1 Help file

WeBWorK2 due 2/4

2/3 § 11.2: exer. 1,5,9,13,15,17,21,23,25,29,31,33,35,39,41,
43,45,49,51

Lab on 2/4/19: notebook

Exam I on 2/8: study guide and
formula sheet
Practice Problems for Exam I with solutions

Exam I solutions: Section A and Section B

§11.2 notes

2/10 § 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 2/11/19: notebook

Project 2: due 2/13; Project 2 Help file

WeBWorK3 due 2/10

2/17 § 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

§ 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

§11.5 notes

§§12.1,12.2 notes

Lab on 2/18/19: notebook

Demo on space curves (§ 12.1): notebook

WeBWorK4 due 2/21

2/24 § 12.4: exer. 1,3,5-8,9,13,17,19,25

§12.3 notes
§12.4 notes

Exam II on 3/1 (study guide) and
formula sheet
Practice Problems for Exam II with solutions

Exam II solutions: Section A and Section B


3/3 Spring Recess 3/2 - 3/9
(no classes this week)
WeBWorK5 due 3/4

3/10 § 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

§ 13.2: exer. 1,7,11,13,17,21,25,29,31-55 odd,60,61,65,67
§12.5 notes
§12.6 notes
Video on Kepler's Laws

§13.1 notes
§13.2 notes

Lab on 3/11/19: notebook

Demo on level curves and surfaces (§ 13.1): notebook

Project 3: due 3/13; Project 3 Help file

WeBWorK6 due 3/13

3/17 § 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

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

Lab on 3/18/19: notebook

§13.3 notes
§13.4 notes


3/24 §13.5: exer. 1,5,7,11,15,19,23,27-37 odd

§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

§ 13.8: exer. 1,5,9,13,15,17,21,23,29,31,33,37,41,43
Lab on 3/25/19: notebook

§13.5 notes
§13.6 notes
§13.7 notes

Demo on min/max/saddle points: notebook

Lagrange multipliers:
§ 13.8 notes
video from MIT OpenCourseWare
video from Khan Academy

WeBWorK7 due 3/25

3/31 § 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

§ 14.1 notes
§ 14.2 notes
§ 14.3 notes

Project 4: due 4/3
(you may use Lab notebook from 3/25 for help)

WeBWorK8 due 4/1

Exam III on 4/5 (study guide) and
formula sheet
Practice Problems for Exam III with solutions

Exam III solutions: Section A and Section B


4/7 § 14.4: exer. 1,3,5,7,9,13,17,21-33 odd,37-43 odd

§ 14.5: exer. 3,5,9,13,17,21,25,29,37,41

§ 14.6: exer. 1,5,9,11,15,19,21,25,29,31
§ 14.4 notes
§ 14.5 notes
§ 14.6 notes

WeBWorK9 due 4/8

4/14Holiday recess 4/18-4/20
(no classes on Thursday and Friday)

§ 14.7: exer. 1,5,7,11,13,17,19,21,25,27,29,31,33,
37,41,43,47,51,55,57,63,67,71,75,85,86

§ 14.8 (optional): exer. 1,3,5,7,9,11,15,21

Project 5: due 4/17; Project 5 Help file

§ 14.7 notes

(optional) § 14.8 notes

WeBWorK10 due 4/15

4/21 § 15.1: exer. 1-9,13,15,19,21,25,33,35

§ 15.2: exer. 1,5,7,11,19,25,27,31,37,39,41,47

§ 15.3: exer. 1,5,7,13,17,19,25,29

§ 15.4: exer. 5,9,13,15,19-25 odd, 33,37

§ 15.1 notes
§ 15.2 notes
§ 15.3 notes
§ 15.4 notes

WeBWorK11 due 4/23

4/28 Final exam week begins on 5/2 (Thursday) § 15.5 notes
§ 15.6 notes
§ 15.7 notes
§ 15.8 notes

Project 6: due 5/6, by 10 am! Project 6 Help file

Exam IV on 4/30 (Tuesday is on Thursday schedule!)
(study guide) and formula sheet
Practice Problems for Exam IV with solutions

Exam IV solutions: Section A and Section B

WeBWorK12 due 5/3

5/5 Review Sessions:
Thursday, 5/2, 9:30-11 am and 2:00-3:30 pm, SLC 411

Final Exam: Saturday, 5/4, 1-4pm, BREIS 106
Final Exam study guide and formula sheet
Practice problems with solutions

WeBWorK13 due 5/6