MAT 211 Calculus III


Course Description: Multivariable calculus: algebra and geometry of vectors, partial differentiation, multiple integration, change of coordinates, gradient, optimization, line integrals, Green's theorem, elements of vector calculus.

Prerequisite: MAT 193 or equivalent with a grade of "C" or better.

Time & Place:

Textbook: Vector Calculus, by Michael Corral, available online at this link.

Reference: Essential Calculus, by James Stewart, Brooks/Cole 2007.

Calculator:

Assignment: Exercises will be assigned via Webwork.

Online Resources: Here are some useful links:

Tentative Schedule
01-23 Vector Algebra 01-25 Dot Product 01-26 Cross Product
01-30 Discussion 02-01 Lines and Planes 02-02 Lines and Planes
02-06 Discussion 02-08 Arc Length 02-09 Arc Length
02-13 Function of Several Variables 02-15 Partial Derivatives 02-16 Review
02-20 Test 1 02-22 Tangent Planes 02-23 Tangent Planes
02-27 The Chain Rule 03-01 The Chain Rule 03-02 Directional Derivatives and Gradient
03-06 Directional Derivatives and Gradient 03-08 Max and Min 03-09 Max and Min
03-13 Lagrange Multipliers 03-15 Lagrange Multipliers 03-16 Review
03-20 Test 2 03-22 Double Integrals 03-23 Double Integrals Over a General Region
03-27 Spring Break 03-29 Spring Break 03-30 Spring Break
04-03 Triple Integrals 04-05 Triple Integrals 04-06 Change of Variables
04-10 Line Integrals 04-12 Line Integrals 04-13 Green's Theorem
04-17 Green's Theorem 04-19 Surface Integrals and the Divergence Theorem 04-20 Surface Integrals and the Divergence Theorem
04-24 Surface Integrals and the Divergence Theorem 04-26 Review 04-27 Test 3
05-01 Stokes' Theorem 05-03 Stokes' Theorem 05-04 Stokes' Theorem
05-08 Review 05-10 Review 05-11 Review

Final Exam 05-17 11:30--1:30 (SCC 1304)

Grading Scheme HW (5 points extra credit), Tests (25 points each), Final (25 points + 5 points extra-credit)

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


Expected outcomes Please refer to the departmental syllabus.

Policies For policies on academic integrity, accommodation for students with disabilities, due dates and make-up work and various other topics, please consult this page.


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