MAT 211 Calculus III

General Info

Time: Mon, Wed, Fri 13:00--14:25
Classroom: SAC 3152

Prerequisites MAT 193 with a "C" grade or better.

Course description Multi-variable Differentials, Optimization, Multiple Integration, Elements of Vector Calculus, Green's, Stokes' and the Divergence Theorem.

Test and Exam Policy No electronics devices (including calculator) are allowed in the tests and the final exam.

Schedule

Week 1 Vectors Geometry of R^n

Week 2 Parametrization of curves and surfaces

Week 3 Labor Day (09/07) No class, Limits and Continuity

Week 4 Differentiability and Derivatives

Week 5 Differentiability and Derivatives Test 1 (09/25)

Week 6 Taylor Theorem, Lagrange Multipliers

Week 7 Lagrange Multipliers, Inverse and Implicit Functions

Week 8 Multiple Integrals

Week 9 Change of Variables, Test 2 (10/23)

Week 10 Fields and Forms

Week 11 Line and Surface Integrals

Week 12 Veterans Day (11/11) No Class, Line and Surface Integrals

Week 13 Green's Theorem Test 3 (11/20)

Week 14 Fall Recess + Thanksgiving

Week 15 Divergence Theorem

Week 16 Stokes Theorem, Review

Final Exam Comprehensive Dec 14 (Mon) 13:00--15:00

Books, Notes and Other Resources

Lectures will follow this set of notes.
Here is a textbook from University of British Columbia
Some resources from MIT, Khan Academy and Paul's Online notes.
Div, Grad, Curl, and All That by H. M. Schey. The classic informal guide to the meaning of divergence, gradient and curl; great for building intuition.
Vector Calculus by Paul C. Matthews. A compact and accessible treatment of the essentials.
Vector Calculus by Jerrold Marsden and Anthony Tromba. The classic rigorous vector calculus text for math majors.
Calculus III by Jerrold Marsden and Alan Weinstein. A classic multivariable and vector calculus text.
For more advanced readers: Calculus on Manifolds by Michael Spivak, and Advanced Calculus by Lynn Loomis and Shlomo Sternberg (free PDF).

Course Management Canvas

Grading Scheme: HW (15 points), Tests (60 points), Final (25 points)

A	A-	B+	B	B-
100--93	92--89	88--84	83--79	78--74
C+	C	C-	D+	D	F
73--69	68--64	63--59	58--54	53--50	49--0

Learning Outcomes: Please refer to this section.

Other Info: For policies on academic integrity, accommodation for students with disabilities, due dates and make-up work, etc., consult this page .

Home

Week 1	Vectors Geometry of R^n
Week 2	Parametrization of curves and surfaces
Week 3	Labor Day (09/07) No class, Limits and Continuity
Week 4	Differentiability and Derivatives
Week 5	Differentiability and Derivatives Test 1 (09/25)
Week 6	Taylor Theorem, Lagrange Multipliers
Week 7	Lagrange Multipliers, Inverse and Implicit Functions
Week 8	Multiple Integrals
Week 9	Change of Variables, Test 2 (10/23)
Week 10	Fields and Forms
Week 11	Line and Surface Integrals
Week 12	Veterans Day (11/11) No Class, Line and Surface Integrals
Week 13	Green's Theorem Test 3 (11/20)
Week 14	Fall Recess + Thanksgiving
Week 15	Divergence Theorem
Week 16	Stokes Theorem, Review
Final Exam	Comprehensive Dec 14 (Mon) 13:00--15:00