MTH 212 Multivariate Calculus (Spring 2018):

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 and Suggested Problems for Practice Class Materials and Assignments

1/15 § 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
No class on 1/15
§10.1 notes, §10.2 notes
Read Mathematica tutorials
Cycloid demo
Brachistochrone demo

1/22 § 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 1 sample notebook

WeBWorK Orientation due 1/22
WeBWorK1 due 1/28

1/29 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, §10.6 notes
Handout on Conics
§11.1 notes

Project 1 (click here): due 1/31

WeBWorK2 due 2/3

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

§ 11.3: exer. 1,5,7,9,13,15,17,19,23,25,29,31-33,37,43,45
Exam I on 2/9 (study guide)
Exam I Formula Sheet

§11.2 notes, §11.3 notes

Lab 2 sample notebook

Project 2 (click here): due 2/15

WeBWorK3 due 2/10

2/12 § 11.4: exer. 3,7,9,13,17,21,23,25,27,29,31,33,37,39,43,47

§ 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

§11.4 notes, §11.5 notes
Dot Product vs. Cross Product (handout)

Lab 3 sample notebook

WeBWorK4 due 2/19

2/19 § 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

§ 12.5: exer. 1,5,7,9,13,17,19,21,23,24,28
§ 12.1,12.2 notes
§ 12.3,12.4 notes
§ 12.5,12.6 notes

WeBWorK5 due 2/26

2/26 § 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
Exam II on 3/2 (study guide)
Exam II Formula Sheet
Practice Problems for Exam II

§ 13.1 notes, § 13.2 notes

Lab 4 sample notebook
Lab 5 sample notebook

Project 3 (click here): due 3/14

WeBWorK6 due 3/4

3/5 Spring Recess 3/3 - 3/11

3/12 § 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

§ 13.3 notes
§ 13.4 notes


3/19 § 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
§ 13.5 notes
§ 13.6 notes

Project 4 (click here): due 4/4

WeBWorK7 due 3/20

3/26 § 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

§ 14.1: exer. 1,5,9,13,15,19,21,25,27

Holiday Recess 3/29 - 4/1
§ 13.7 notes

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

§ 14.1 notes

WeBWorK8 due 3/27

4/2 § 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

Exam III on 4/4 (study guide)
Exam III Formula Sheet
Practice Problems for Exam III

§ 14.2 notes
§ 14.3 notes

WeBWorK9 due 4/3

4/9 § 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

WeBWorK10 due 4/12

4/16 § 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: exer. 1,3,5,7,9,11,15,21

§ 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
§ 14.7 notes
§ 14.8 notes
§ 15.1 notes
§ 15.2 notes

WeBWorK11 due 4/20

4/23 § 15.3: exer. 1,5,7,13,17,19,25,29

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

§ 15.5: exer. 3,9,13,17,21,25-33 odd

§ 15.6: exer. 1,7,11,13,15,19,23

§ 15.7: exer. 1,5,7,13,17

§ 15.8: exer. 1,3,5,9,15,17a
§ 15.3 notes
§ 15.4 notes
§ 15.5 notes
§ 15.6 notes
§ 15.7 and 15.8 notes

WeBWorK12 due 4/27

4/30 Exam IV on 5/2 (study guide)
Exam IV Formula Sheet
Practice Problems for Exam IV

5/7 Review Sessions: 5/7 and 5/8, 1-3:30pm, SLC 411

Final Exam: Wednesday, 5/9, 1-4pm, SLC 263
Final Exam Study Guide
Final Exam Formula Sheet
Practice Problems for Final

Project 5 (click here): due 5/7

Lab 6 sample notebook
Lab 7 sample notebook

WeBWorK13 due 5/10