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Wyoming Seminary


Academic Year 2020 - 2021

Multivariable Calculus

Multivariable Calculus

Meeting Times: MW 8:30PM - 10:00PM Virtual

Course Syllabus

Calculus Textbook by Strang

Monday Zoom Meeting ID: 865 8397 3226

Wednesday Zoom Meeting ID: 867 0743 9480

First Trimester Announcements

Second Trimester Announcements

DATE ACTIVITY
03/15/2021 Lecture 31: Center of Mass and Centroid
Lecture 32: Moments of Inertia
03/22/2021 Computer Project 4 DUE! (NO LATER THAN 11:59pm on 03/23/2021 EAST COAST US TIME)
Instructions, Help File

Lecture 33: Introduction to Vector Fields and Line Integrals
Lecture 34: More on Line Integrals
03/29/2021 Homework 15 DUE! (NO LATER THAN 11:59pm on 03/30/2021 EAST COAST US TIME)
Strang: p. 554 #12, 13, 14, 29
Strang: p. 562 #2, 3, 21, 22, 30, 34 (Compute the line integrals using the definition! We will get to potentials soon!)

Lecture 35: The Fundamental Theorem of Line Integrals
Lecture 36: Existence of Potential Functions
04/07/2021 Homework 16 DUE! (NO LATER THAN 11:59pm on 04/08/2021 EAST COAST US TIME)
Strang: p. 562, 563 # 31, 34, 35, 37 (you should find a potential function in each case)
Do # 10, 12, 14, 16, 20, 22 from this handout .

Lecture 37: Introduction to Green's Theorem
04/15/2021 Homework 17 DUE! (NO LATER THAN 11:59pm on 04/16/2021 EAST COAST US TIME)
Strang: p. 571, 572 # 2, 4, 6, 8, 15, 19

Lecture 38: More on Green's Theorem
Exam 5 Review
04/19/2021 Midterm Exam 5
Outline for Exam 5
Review Problems for Exam 5
Review Session on 04/14/2021
04/29/2021 Homework 18 DUE! (NO LATER THAN 11:59pm on 04/30/2021 EAST COAST US TIME)
Part I: # 2, 4, 6, 20, 22, 28 from this handout
Part II: Find all eigenvalues for the matrices in # 2, 4, 11, 14 from this handout

Lecture 39: Introduction to Parametric Surfaces
Lecture 40: Surface Integrals of Scalar Functions
Lecture 41: Surface Integrals of Vector Fields
05/06/2021 Homework 19 DUE! (NO LATER THAN 11:59pm on 05/07/2021 EAST COAST US TIME)
Do the following problems from this handout.
p. 681: # 2, 8
p. 686: # 2, 4
pp. 921, 922: # 9, 10, 12, 20, 24, 26

Lecture 42: Introduction to Stokes' Theorem
Lecture 43: More on Stokes' Theorem
05/19/2021 Homework 20 DUE! (NO LATER THAN 11:59pm on 05/20/2021 EAST COAST US TIME)
Do all the problems on this handout.

Lecture 44: Introduction to the Divergence Theorem

Mathematica Tutorial

Another Mathematica Tutorial

The 7 Cardinal Sins of Mathematics

Derivative and Integration Table

Coupled Oscillators