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. Please read the course SYLLABUS.
 Instructor: Dr. Sofya Chepushtanova, office SLC 410, email: sofya.chepushtanova@wilkes.edu.
 Class meetings:
 Section A: 08:0008:50pm, MTF in SLC 405 and W in SLC 409.
 Section B: 01:0001:50pm, MTF in SLC 222 and W in SLC 409.
 Office hours: MWF 09:0009:50am and MW 2:002:50pm or by appointment, SLC 410.
 Textbook: University Calculus, Early Transcendentals, 3rd ed., by Hass, Weir, Thomas; Pearson Addison Wesley 2015; ISBN 9780321999580 (hardbound full text)
OR
University Calculus, Early Transcendentals, Multivariable Calculus, 3rd ed., by Hass, Weir, Thomas; Pearson Addison Wesley 2015; ISBN 9780321999603 (chapters 917 only)
OR
if you have an access to MyMathLab from previous math courses, you can use an electronic version of the textbook available online: email me to get the student registration instructions.  WeBWorK is an opensource online homework system for math and sciences courses supported by the MAA and the NSF. We will use it for our homework. The name of the WeBWorK course is MTH_212_FALL_2019 . Expect the email with login info from webwork@mathcs.wilkes.edu. As you get it, you should log in and change your password once the account is active. (Note: never call the help desk for anything to do with WeBWorK. Report all the WeBWorK issues to your instructor.)
 Mathematica is a Wolfram's original product  primarily aimed at technical computing for R&D and education. We will use it for labs and projects.
To start with Mathematica, use the following links and tutorials:
 Mathematica at Wilkes
 Video tutorials: handson Start to Mathematica
 Wolfram's Getting Started with Mathematica
 Mathematica manual
from the publisher of your textbook
 Another Mathematica tutorial
 Mathematica at Wilkes
 Schedule (updated as the semester progresses):
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. 1,5,9,15,17,2333 odd, 37,41,45,53,6571 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. 1,5,7,9,13,15,17,19,23,25,29,3133,37,43,45 § 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, 45,47,49,55,57,61,6371 odd § 11.6: exer. 112,13,19,23,27,31,33,37,41,45 
§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. 1,5,9,13,15,16,19,21,23,25,2734 § 12.2: exer. 1,5,9,11,15,17,3336 § 12.3: exer. 1,3,5,9,11,13,17,18 § 12.4: exer. 1,3,58,9,13,17,19,25 
§§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. 129 odd,3136,43,49,55,59,61,63  §12.5 notes Demo on TNBframe 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. 1,7,11,13,17,21,25,29,3155 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. 1,5,7,11,15,19,23,2737 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. 111 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. 1,3,5,7,9,13,17,2133 odd,3743 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 
