MTH 212 Multivariate Calculus (Spring 2020):

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

1/12 § 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

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

Read Mathematica tutorials

Common Math Errors

Some trig integrals review

Lab 1/13/20: notebook

1/19 No class on 1/20 (MLK Day)

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

WeBWorK Orientation due 1/22

WeBWorK1 due 1/24

1/26 § 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

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

§ 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

§ 10.1: exer. 1,5,13,19,23,36,38,39
§11.5 notes

Lab 1/27/20: notebook

Demo on quadrics: notebook

Handout on Conics and Conics demo

Demo on parametric curves: notebook

Project 1: due 1/29; Project 1 Help file

WeBWorK2 due 1/31

2/2 Exam I on 2/7 (Friday)

§ 12.2: exer. 1,5,9,11,15,17,33-36
§12.1 notes (also see §10.1)
§12.2 notes

Lab 2/3/20: notebook

Demo on ideal projectile motion: notebook

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

Exam I solutions: Section A and Section B

WeBWorK3 due 2/11

2/9 § 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

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

Lab on 2/10/20: notebook

Demo on TNB-frame and acceleration: notebook

§10.3 notes

Project 2: now due 2/14; Project 2 Help file

WeBWorK4 due 2/17

2/16 § 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

§ 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
§§10.4, 10.5 notes

Lab on 2/17/20: notebook

Optional: §10.6 notes

Optional: §12.6 notes and Video on Kepler's Laws

§13.1 notes
Demo on level curves and surfaces: notebook

§13.2 notes
Demo on limits: notebook

WeBWorK5 due 2/22

2/23 § 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
Demo on partial derivatives: notebook

§13.4 notes

Project 3: due 2/28;
Project help: see Lab from 02/17 and Demo on level curves and surfaces.

WeBWorK6 due 2/29

3/1 SPRING BREAK

3/8 Exam II on 3/13 (Friday)

§13.5: exer. 1,5,7,11,15,19,23,27-37 odd
§13.5 notes
Demo on directional derivatives: notebook

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

Exam II solutions: Section A and Section B

WeBWorK7 due 3/14

3/15 §13.6: exer. 1,5,9,13,17,25,27,39,55 §13.6 notes
Demo on gradients and tangent planes: notebook

3/22 §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

§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
§13.7 notes
Demo on min/max/saddle points: notebook

§13.8 notes

§ 14.1 notes
§ 14.2, 14.3 notes
Demo on double integrals: notebook

WeBWorK8 due 3/29

3/29§ 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
Demo on double integrals in polar form: notebook

§ 14.5 notes
Demo on triple integrals: notebook

§ 14.6 notes

Project 4: due 4/3; Project 4 Help file

WeBWorK9 due 4/1

4/5Exam III is on live.wilkes.edu!
(open till 12 pm, Wednesday, 4/7)

§ 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
§ 14.7 notes
Demo on triple integrals in cylindrical coord's: notebook
Demo on triple integrals in spherical coord's: notebook

§ 14.8 notes

Exam III study guide and formula sheet
practice problems for Exam III
Exam III solutions

WeBWorK10 due 4/8

4/12 § 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, part 1
§ 15.2 notes, part 2
§ 15.2 notes, part 3
Demo on vector fields: notebook

§ 15.3 notes

§ 15.4 notes

WeBWorK11 due 4/16 (shifted by 1 day)

4/19 § 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
§ 15.5 notes
Demo on surface parameterization and area: notebook

§ 15.6 notes

§ 15.7 notes

§ 15.8 notes

Project 5: due 4/22
Project help: see demo notebooks on triple integrals
accompanying notes on Sections 14.5 and 14.7

WeBWorK12 due 4/25

4/26 Exam IV will be on live.wilkes.edu!
(open Wednesday and Thursday)
Exam IV study guide and formula sheet
practice problems for Exam IV (with solutions)
Exam IV solutions

WeBWorK13 due 5/1

5/3 Final Exam:
Monday, 5/4, 1-5 pm on live.wilkes.edu
Final Exam study guide and formula sheet
practice problems for the final with solutions

Project 6: due 5/8
Project help: see demo notebooks on vector fields and
surface parameterization and area

WeBWorK14 (the last one!) due 5/8