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

Exam I Solutions

§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 Exam II on 3/2 (study guide)

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

3/12

3/19

3/26
Holiday Recess 3/29 - 4/1

4/2 Exam III on 4/3

4/9

4/16

4/23 Exam IV 4/27

4/30 Final Exams begin on 5/3

5/7