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.- Please read the course SYLLABUS.
- Instructor: Dr. Sofya Chepushtanova, office SLC 410, email: sofya.chepushtanova@wilkes.edu.
- Class meetings:
- Section A: M, 01:00-01:50pm in SLC 409 and WRF, 01:00-01:50pm in SLC 405
- Section B: M, 03:00-03:50pm in SLC 409 and WRF, 03:00-03:50pm in SLC 411
- Office hours: MWR 10:00-10:50am and 2:00-2:50pm or by appointment, SLC 410.
- Textbook: University Calculus, Early Transcendentals, 3rd ed., by Hass, Weir, Thomas; Pearson Addison Wesley 2015; ISBN 978-0321999580 (hardbound full text)
OR
University Calculus, Early Transcendentals, Multivariable Calculus, 3rd ed., by Hass, Weir, Thomas; Pearson Addison Wesley 2015; ISBN 978-0321999603 (chapters 9-17 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 open-source online homework system for math and sciences courses supported by the MAA and the NSF.
We will use it for our homework. You should be able to log in using your Wilkes username and password.
The name of the WeBWorK course is MTH_212_SPRING_2019. - 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: hands-on 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 |
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 |
4/14 | Holiday 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 |