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.- Please read the course SYLLABUS.
- Instructor: Dr. Sofya Chepushtanova, office SLC 410, email: sofya.chepushtanova@wilkes.edu.
- Class meetings:
- Section A: 01:00-01:50 pm, M in SLC 409 and WRF in SLC 424.
- Section B: 03:00-03:50 pm, M in SLC 409 and WRF in SLC 411.
- Office hours: MWF 09:00-09:50 am and 2:00-2:50 pm 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 MyLab Math from previous math courses, you can use an electronic version of the textbook available online: make sure to get the student registration instructions from me. - WeBWorK is an open-source online homework system for math and science courses supported by the MAA and the NSF. We will use it for our homework. The name of the WeBWorK course is MTH_212_SPRING_2020 . 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:
- Download instructions: 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
- Download instructions: Mathematica at Wilkes
- Schedule (updated as the semester progresses):
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 |
4/5 | Exam 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 |