MTH 212 Multivariate Calculus (Spring 2021):
This course studies differential and integral calculus of real and vector-valued functions. Topics include vectors and vector-valued functions; functions of several variables, limits, continuity, partial differentiation, gradient; line, surface, and multiple integrals; vector fields and theorems of Green and Stokes.- Please read the course SYLLABUS.
- Instructor: Dr. Sofya Chepushtanova, office SLC 408, email: sofya.chepushtanova@wilkes.edu.
- Class meetings:
- Section A: MWRF 01:00-01:50 am in SLC 424.
- Section B: MWRF 03:00-03:50 pm in SLC 405.
- Office hours: MWF 10:00-11:00 am and 02:00-03:00 pm or by appointment.
Note that most office hours will be held virtually via Google Meet. The following link will allow you to sign up for a 20-minute slot (within office hour times listed above): sign-up calendar. - Textbook: University Calculus, Early Transcendentals, 4th ed., by Hass, Heil, Weir, Thomas, and Bogacki (Pearson); paperback ISBN-13: 9780134995540.
OR
University Calculus, Early Transcendentals, Multivariable Calculus, 4th ed., by Hass, Heil, Weir, Thomas, and Bogacki (Pearson); chapters 9-17 only, ISBN-13: 9780135165119.
OR
if you have an access to MyLab Math from your previously taken 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_2021.
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
demonstrations 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
Important: you will use Wilkes LIVE (D2L) to submit Mathematica assignments.
- Download instructions: Mathematica at Wilkes
- Tutoring: Departmental tutoring schedule (held virtually)
- Schedule (updated as the semester progresses):
Week | | Sections to Read and | Suggested Problems for Practice |
| Class Materials and Assignments |
2/1 | § 11.1: exer. 1,5,11,13,17,21,25,31,33,35,39,45,47, 51,59,61,65,69 § 11.2: exer. 1,5,9,13,15,17,21,23,25,29,31,33,35,39,41, 43,45,49,51 |
Find 2 videos on syllabus and beginning of section 11.1 on live.wilkes.edu §11.1 notes §11.2 notes Read Mathematica tutorials (see links above) Common Math Errors Some trig integrals review Demo on 3-space: Mathematica notebook |
2/8 | § 11.3: exer. 1,5,7,9,13,15,19,23,25,29,31,43,45 § 11.4: exer. 3,7,9,13,17,21,23,27,29,31,33,37,39,43,47 |
§11.3 notes §11.4 notes Summary: Dot Product vs. Cross Product Demo on vectors: Mathematica notebook WeBWorK Orientation due 2/10 WeBWorK1 due 2/12 |
2/15 |
§ 11.5: exer. 1,3,7,9,13,19,21,23,25,27,29,31,35,41, 45,47,49,57,61,63-71 odd A4 (conics): exer. 1,3,5,7,17,21,27,33,51,53,55,57 § 11.6: exer. 1-12,13,19,23,27,31,33,37,41 § 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 Demo on lines and planes: Mathematica notebook Quadrics (slides) Demo on quadrics: Mathematica notebook §12.1 notes (also see examples in §10.1) Demo on parametric curves: notebook WeBWorK2 due 2/19 |
2/22 | Exam I on 2/26 (Friday) § 12.2: exer. 1,5,9,11,15,17 § 12.3: exer. 1,3,5,9,11,13,18 |
§12.2 notes §12.3 notes Exam I: study guide and formula sheet practice problems for Exam I (Exam I solutions: Section A and Section B ) Project 1: due 2/24; Project 1 Help file WeBWorK3 due 3/1 |
3/1 | § 12.4: exer. 1,3,7,9,13,17,19 § 12.5: exer. 1,3,5,7,9,13,15 § 10.3: exer. 1,3,5,7,9,13,17,21,25,27,31,33,37,41,47,53,59,63 | §12.4 notes §12.5 notes Demo on TNB-frame and acceleration: notebook §10.3 notes Demo on polar curves: notebook WeBWorK4 due 3/6 |
3/8 |
§ 10.4: exer. 1,5,9,13,27,29,31 § 10.5: exer. 1,5,9,13,15,21,23,25 § 13.1: exer. 1-29 odd,31-36,43,49,55,59,61,63 § 13.2: exer. 1,7,11,13,17,21,31,33,35,59,61,65,67 |
§§10.4,10.5 notes §13.1 notes Demo on level curves and surfaces: notebook §13.2 notes Demo on limits: notebook Project 2: due 3/10; Project 2 Help file WeBWorK5 due 3/12 |
3/15 | § 13.3: exer. 1,5,9,17,19,23,29,31,35,37,39,41,47,51,53, 55,59,61,69,70 § 13.4: exer. 1,5,7,9,11,25,29,33,37,39,41,43 § 13.5: exer. 1,5,7,11,15,19,23,27,29,31,33 |
§13.3 notes Demo on partial derivatives: notebook §13.4 notes §13.5 notes Demo on directional derivatives: notebook WeBWorK6 due 3/21 |
3/22 | Exam II on 3/26 (Friday) § 13.6: exer. 1,5,9,13,17,25,27,39,55 § 13.7: exer. 1-30 odd |
§13.6 notes Demo on gradients and tangent planes: notebook §13.7 notes Demo on max/min/saddle points: notebook Exam II study guide and formula sheet practice problems for Exam II (Exam II solutions: Section A and Section B ) Project 3: due 3/24 Project help: see Demo on polar curves and Demo on level curves and surfaces WeBWorK7 due 3/28 |
3/29 |
§ 13.8: exer. 1,5,9,13,17,21,23,29,31,33 No classes 4/1-4/2 |
§13.8 notes WeBWorK8 due 4/5 |
4/5 | § 14.1: exer. 1,5,9,13,15,19,21,25 § 14.2: exer. 1-11 odd,15,19,23,27,29,33,37,41,45,47, 51,53,57,59,61 § 14.3: exer. 1,5,9,13,17,19,21 § 14.4: exer. 1,3,5,7,9,13,15,17,21,23,25,29,31,33 |
§14.1 notes §14.2 notes Demo on double integrals: notebook § 14.3 notes § 14.4 notes Demo on double integrals in polar form: notebook Project 4: due 4/8 Project help: see Demo on gradients and tangent planes and Demo on min/max/saddle points WeBWorK9 due 4/11 |
4/12 | Exam III on 4/16 (Friday) § 14.5: exer. 3,5,9,13,17,21,25,27,37,41 § 14.6: exer. 1,5,9,11,15,19,21,25,29,31 |
§ 14.5 notes Demo on triple integrals: notebook § 14.6 notes Exam III study guide and formula sheet practice problems for Exam III WeBWorK10 due 4/18 |
4/19 |
§ 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 | |
4/26 | No class on 4/28 (Wednesday) |
Project 5: due 4/26 Project help: Demo notebooks on triple integrals |