Class: MWF 12:00-1:15, ILC 402
Instructor: Dr. Zach Teitler
Office: MG 233A
Phone: 208-426-1086
E-mail: zteitler@boisestate.edu
Office hours: TuTh 10:00-11:30 (subject to change) and by appointment
Important dates:
Textbook:
Calculus: Early Transcendentals, Multivariable, 2nd ed., 2010, by Jon Rogawski.
This text is available for sale in the campus bookstore.
An electronic edition is also available for sale online.
Only the "Multivariable" chapters are required for this course.
The earlier chapters are optional to purchase.
Weekly schedule:
Dates | Topics (planned) | What we actually did |
---|---|---|
Week 1 | ||
Aug 27 | Hello, Vectors in the plane (§12.1) | started vectors in the plane |
Aug 29 | Vectors in space (§12.2) | finished vectors in the plane |
Aug 31 | Dot product, angle (§12.3) | vectors in space |
Week 2 | ||
Sept 3 | Labor Day | |
Sept 5 | Cross product (§12.4) | dot product |
Sept 7 | Planes (§12.5) | cross product |
Week 3 | ||
Sept 10 | Planes | ← |
Sept 12 | Quadric surfaces | planes |
Sept 14 | Spherical, cylindrical coordinates | quadric surfaces |
Week 4 | ||
Sept 17 | Vector-valued functions | spherical, cylindrical coordinates |
Sept 19 | Calculus of vector-valued functions | |
Sept 21 | Arc length, speed | |
Week 5 | ||
Sept 24 | Curvature | |
Sept 26 | Motion in space | |
Sept 28 | Exam 1 | |
Week 6 | ||
Oct 1 | Planetary motion | |
Oct 3 | Functions of two or more variables | |
Oct 5 | Partial derivatives | |
Week 7 | ||
Oct 8 | Partial derivatives | |
Oct 10 | Tangent planes | |
Oct 12 | Linear approximation | |
Week 8 | ||
Oct 15 | Gradient | |
Oct 17 | Gradient | |
Oct 19 | Directional derivatives | |
Week 9 | ||
Oct 22 | Chain rule | |
Oct 24 | Optimization | |
Oct 26 | Exam 2 | |
Week 10 | ||
Oct 29 | Lagrange multipliers | ← |
Oct 31 | Integration in two variables | |
Nov 2 | More general regions | |
Week 11 | ||
Nov 5 | Triple integrals | |
Nov 7 | Polar, cylindrical, spherical integrals | |
Nov 9 | Applications | |
Week 12 | ||
Nov 12 | Change of variables | |
Nov 14 | ||
Nov 16 | Exam 3 | |
Week 13 | ||
Nov 26 | Vector fields | |
Nov 28 | Line integrals | |
Nov 30 | Conservative vector fields | |
Week 14 | ||
Dec 3 | Parametrized surfaces | |
Dec 5 | Surface integrals of vector fields | |
Dec 7 | Green's theorem | |
Week 15 | ||
Dec 10 | Stokes' theorem | |
Dec 12 | Divergence theorem | |
Dec 14 |
Homework:
Selected resources: