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.- 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 411
- Section B: M, 03:00-03:50pm in SLC 409 and WRF, 03:00-03:50pm in SLC 405
- Office hours: MWF 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_SPR_2018. - 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
Important: use Wilkes LIVE to submit Mathematica assignments.
- Mathematica at Wilkes
- Schedule (updated as the semester progresses):
| 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 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 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 §11.2 notes, §11.3 notes Project 2 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 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 § 13.1 notes, § 13.2 notes Project 3 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 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
§ 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 | |
| 5/7 | Review Sessions: 5/7 and 5/8, 1-3:30pm, SLC 411 Final Exam: Wednesday, 5/9, 1-4pm, SLC 263 |
Project 5 due 5/7 WeBWorK13 due 5/10 |