MTH 212 Multivariate Calculus (Fall 2020):
This course studies differential and integral calculus of real and vector-valued functions. Topics include vectors, vector-valued functions, functions of several variables, limits, continuity, partial differentiation, 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: MTWF 08:00-08:50 am in SLC 411.
- Section B: MTWF 01:00-01:50 pm in SLC 411.
- Office hours: MWF 10:00-11:00 am and TR 12:00-01:00 pm or by appointment.
Note that 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 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_FALL_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
(Important: use Wilkes LIVE to submit Mathematica assignments.)
- Download instructions: Mathematica at Wilkes
- Tutoring: Current departmental tutoring schedule (held virtually).
- Schedule (updated as the semester progresses):
Week of |
| Sections to Read and | Suggested Problems for Practice |
| Class Materials and Assignments |
8/23 | § 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 |
§11.1 notes §11.2 notes Read Mathematica tutorials Common Math Errors Some trig integrals review Demo on 3-space: Mathematica notebook |
8/30 | § 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 9/2 WeBWorK1 due 9/4 |
9/6 |
A4: 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 § 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 |
Conic Sections and
Conics demo Demo on quadrics: Mathematica notebook §11.5 notes Demo on lines and planes: Mathematica notebook WeBWorK2 due 9/11 |
9/13 | Exam I on 9/18 (Friday) § 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 § 12.2: exer. 1,5,9,11,15,17 |
Demo on parametric curves: notebook §12.1 notes (also see §10.1) §12.2 notes Exam I: study guide and formula sheet practice problems for Exam I Project 1: due 9/14; Project 1 Help file WeBWorK3 due 9/18 |
9/20 | ||
9/27 | Project 2: now due 9/28; Project 2 Help file | |