Math 250B Lectures, Fall 2020

Our class does not meet on Tuesdays.

Wed Sept 9
Welcome Video
11.7/12.1/12.2 Overview of Multivariable Calculus     NOTES     VIDEO
11.7/12.1/12.2 Functions of Several Variables     NOTES     VIDEO
Office Hours: Mondays and Wednesdays during class time (on D2L)

Thurs Sept 10
11.7/12.1/12.2 Five Important Surfaces     NOTES     VIDEO
11.7/12.1/12.2 Graphing Paraboloids     NOTES     VIDEO

Fri Sept 11
11.7/12.1/12.2 Graphing Spheres     NOTES     VIDEO
11.7/12.1/12.2 Graphing Cones     NOTES     VIDEO

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Mon Sept 14
11.7/12.1/12.2 Graphing Cylinders     NOTES     VIDEO
11.7/12.1/12.2 Graphing Planes     NOTES     VIDEO
12.3 Continuous Multivariable Functions     NOTES     VIDEO
DO SUGGESTED HOMEWORK FOR SECTIONS 11.7 and 12.2 (Suggested HW Problems are on D2L)
Office Hours: Mondays and Wednesdays during class time (on D2L)

Wed Sept 16
Assignment 1 is due Wed Sept 23rd at 4:30pm Pacific Time.
12.4 Partial Derivatives     NOTES     VIDEO
12.4 Second-Order Partial Derivatives     NOTES     VIDEO
Office Hours: Mondays and Wednesdays during class time (on D2L)

Thurs Sept 17
12.4 Tangent Planes     NOTES     VIDEO
12.4 More about Tangent Planes     NOTES     VIDEO
12.4 Cross Product and Normal Form     NOTES     VIDEO
DO SUGGESTED HOMEWORK FOR SECTION 12.4

Fri Sept 18
12.5 Critical Points     NOTES     VIDEO
12.5 Absolute Maximum and Minimum     NOTES     VIDEO

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Mon Sept 21
12.5 Absolute Maximum and Minimum: Example     NOTES     VIDEO
DO SUGGESTED HOMEWORK FOR SECTION 12.5
Office Hours: Mondays and Wednesdays during class time (on D2L)

Wed Sept 23
Assignment 1 is due Wed Sept 23rd at 4:30pm Pacific Time.
12.6 Differentials     NOTES     VIDEO
12.6 Linear Approximation     NOTES     VIDEO
Office Hours: Mondays and Wednesdays during class time (on D2L)

Thurs Sept 24
12.6 Absolute Error     NOTES     VIDEO
12.6 Relative Error     NOTES     VIDEO
DO SUGGESTED HOMEWORK FOR SECTION 12.6

Fri Sept 25
12.7 Multivariable Chain Rule     NOTES     VIDEO

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Mon Sept 28
12.7 Multivariable Chain Rule: Example     NOTES     VIDEO
12.7 Implicit Partial Differentiation     NOTES     VIDEO
DO SUGGESTED HOMEWORK FOR SECTION 12.7
Office Hours: Mondays and Wednesdays during class time (on D2L)

Wed Sept 30
Test today
Section DX01 writes 2:30-3:30
Section DX02 writes 3:30-4:30
The test will be emailed to you, and posted on D2L

Thurs Oct 1
12.8 The Gradient Vector     NOTES     VIDEO
12.8 Directional Derivatives     NOTES     VIDEO

Fri Oct 2
12.8 Maximum Rate of Increase     NOTES     VIDEO
12.8 Level Curves and Surfaces     NOTES     VIDEO
DO SUGGESTED HOMEWORK FOR SECTION 12.8

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Mon Oct 5
12.9 Lagrange Multipliers Part 1     NOTES     VIDEO
Office Hours: Mondays and Wednesdays during class time (on D2L)

Wed Oct 7
12.9 Lagrange Multipliers Part 2     NOTES     VIDEO
DO SUGGESTED HOMEWORK FOR SECTION 12.9
Office Hours: Mondays and Wednesdays during class time (on D2L)

Thurs Oct 8
12.10 Classifying Critical Points     NOTES     VIDEO
DO SUGGESTED HOMEWORK FOR SECTION 12.10

Fri Oct 9
13.1 Double Integration     NOTES     VIDEO
13.2 The Meaning of Double Integrals     NOTES     VIDEO
DO SUGGESTED HOMEWORK FOR SECTION 13.1

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Mon Oct 12
No notes/videos due to holiday.
I will have the usual office hours (12:30-1:20 for DX02 and 1:30-2:20 for DX01)

Wed Oct 14
Test today
Section DX01 writes 2:30-3:30
Section DX02 writes 3:30-4:30
The test will be emailed to you, and posted on D2L

Thurs Oct 15
13.2 Vertical and Horizontal Slices     NOTES     VIDEO
13.2 Swapping Order of Integration     NOTES     VIDEO
DO SUGGESTED HOMEWORK FOR SECTION 13.2

Fri Oct 16
13.3 Area and Volume, Part 1     NOTES     VIDEO
13.3 Area and Volume, Part 2     NOTES     VIDEO
DO SUGGESTED HOMEWORK FOR SECTION 13.3

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Mon Oct 19
13.4 Double Integration in Polar Coordinates     NOTES     VIDEO
13.4 Polar Area and Volume, Part 1     NOTES     VIDEO
Office Hours: Mondays and Wednesdays during class time (on D2L)

Wed Oct 21
13.4 Polar Area and Volume, Part 2     NOTES     VIDEO
DO SUGGESTED HOMEWORK FOR SECTION 13.4
Office Hours: Mondays and Wednesdays during class time (on D2L)

Thurs Oct 22
13.5 Double Integrals: Mass and Centroid     NOTES     VIDEO

Fri Oct 23
13.5 Double Integrals: Moment of Inertia     NOTES     VIDEO
DO SUGGESTED HOMEWORK FOR SECTION 13.5

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Mon Oct 26
13.6 Volume by Triple Integration, Part 1     NOTES     VIDEO
13.6 Volume by Triple Integration, Part 2     NOTES     VIDEO
Office Hours: Mondays and Wednesdays during class time (on D2L)

Wed Oct 28
13.6 Triple Integration: Centroid and Moment of Inertia     NOTES     VIDEO
DO SUGGESTED HOMEWORK FOR SECTION 13.6
Office Hours: Mondays and Wednesdays during class time (on D2L)

Thurs Oct 29
11.8 Cylindrical Coordinates     NOTES     VIDEO
11.8 Spherical Coordinates     NOTES     VIDEO
13.7 Integration in Cylindrical Coordinates, Part 1     NOTES     VIDEO

Fri Oct 30
13.7 Integration in Cylindrical Coordinates, Part 2     NOTES     VIDEO

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Mon Nov 2
13.7 Integration in Spherical Coordinates     NOTES     VIDEO
Office Hours: Mondays and Wednesdays during class time (on D2L)
DO SUGGESTED HOMEWORK FOR SECTION 13.7

Wed Nov 4
Test 3 has been moved to Mon Nov 9th
13.8 Surface Area     NOTES     VIDEO
Office Hours: Mondays and Wednesdays during class time (on D2L)

Thurs Nov 5
13.8 Surface Area of Parametric Surfaces     NOTES     VIDEO
13.8 Geometry of Surface Area Formulas     NOTES     VIDEO
DO SUGGESTED HOMEWORK FOR SECTION 13.8

Fri Nov 6
13.9 Change of Variables     NOTES     VIDEO

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Sun Nov 8
I will have office hours on D2L today.
Section DX02 Office Hours 12:30-1:30
Section DX01 Office Hours 1:30-2:30

Mon Nov 9
Test today
Section DX02 writes 12:30-1:30
Section DX01 writes 1:30-2:30
The test will be emailed to you, and posted on D2L

Wed Nov 11
No notes/videos/office hours due to Remembrance Day.

Thurs Nov 12
13.9 Elliptical Change of Variables     NOTES     VIDEO
13.9 Spherical Correction Factor     NOTES     VIDEO
DO SUGGESTED HOMEWORK FOR SECTION 13.9

Fri Nov 13
14.1 Intro to Vector Fields     NOTES     VIDEO

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Mon Nov 16
14.1 Divergence and Curl     NOTES     VIDEO
Office Hours: Mondays and Wednesdays during class time (on D2L)
DO SUGGESTED HOMEWORK FOR SECTION 14.1

Wed Nov 18
14.2 Line Integrals with respect to Arc Length     NOTES     VIDEO
Office Hours: Mondays and Wednesdays during class time (on D2L)

Thurs Nov 19
Take-Home Test 4 is due Wed Nov 25th at 4:30pm Pacific Time.
14.2 Parametrizing a Curve     NOTES     VIDEO
14.2 Line Integrals with respect to Coordinates     NOTES     VIDEO

Fri Nov 20
14.2 Work done by a Force Field     NOTES     VIDEO
DO SUGGESTED HOMEWORK FOR SECTION 14.2

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Mon Nov 23
14.3 Conservative Vector Fields     NOTES     VIDEO
14.3 Fundamental Theorem of Line Integrals     NOTES     VIDEO
14.3 Path Independence Theorem     NOTES     VIDEO
DO SUGGESTED HOMEWORK FOR SECTION 14.3
Office Hours: Mondays and Wednesdays during class time (on D2L)

Wed Nov 25
Take-Home Test 4 is due Wed Nov 25th at 4:30pm Pacific Time.
14.4 Green's Theorem     NOTES     VIDEO
14.4 Corollary to Green's Theorem     NOTES     VIDEO
Office Hours: Mondays and Wednesdays during class time (on D2L)

Thurs Nov 26
14.4 2D Flux and 2D Divergence Theorem     NOTES     VIDEO
DO SUGGESTED HOMEWORK FOR SECTION 14.4

Fri Nov 27
14.5 Surface Integrals     NOTES     VIDEO


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Mon Nov 30
Assignment 2 is due Fri Dec 11 at 2:30pm Pacific Time.
14.5 3D Flux, Part 1     NOTES     VIDEO
Office Hours: Mondays and Wednesdays during class time (on D2L)

Wed Dec 2
14.5 3D Flux, Part 2     NOTES     VIDEO
Office Hours: Mondays and Wednesdays during class time (on D2L)

Thurs Dec 3
14.5 3D Flux, Part 3     NOTES     VIDEO
DO SUGGESTED HOMEWORK FOR SECTION 14.5

Fri Dec 4
14.6 3D Divergence Theorem     NOTES     VIDEO
DO SUGGESTED HOMEWORK FOR SECTION 14.6
This is the end of the course material!

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Mon Dec 7 to Fri Dec 11
Work on Assignment 2 (Due Friday Dec 11th at 2:30pm)
Office Hours: Mondays and Wednesdays during class time (on D2L)

Optional Topic (won't be tested): This is the 3D version of Green's Theorem
14.7 Stokes' Theorem, Part 1     NOTES     VIDEO
14.7 Stokes' Theorem, Part 2     NOTES     VIDEO