| 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 *************************************************************************** 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 *************************************************************************** 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 *************************************************************************** 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 *************************************************************************** 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 *************************************************************************** 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 *************************************************************************** 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 *************************************************************************** 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 *************************************************************************** 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 *************************************************************************** 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 *************************************************************************** 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 *************************************************************************** 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 *************************************************************************** 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! *************************************************************************** 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 |