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
01-24 Vector Algebra 01-26 Matrix Operations 01-27 Dot Product
01-31 Cross Product 02-02 Lines and Planes 02-03 Lines and Planes
02-07 Surfaces 02-09 Curvilinear Coordinates 02-10 Vector-Valued Functions
02-14 Arc Length 02-16 Arc Length 02-17 Review
02-21 Test 1 02-23 Function of Several Variables 02-24 Partial Derivatives
02-08 Tangent Planes 03-02 The Chain Rule 03-03 Directional Derivatives and Gradient
03-07 Directional Derivatives and Gradient 03-09 Max and Min 03-10 Max and Min
03-14 Lagrange Multipliers 03-16 Lagrange Multipliers 03-17 Review
03-21 Test 2 03-23 Double Integrals 03-24 Double Integrals Over a General Region
03-28 Spring Break 03-30 Spring Break 03-31 Spring Break
04-04 Triple Integrals 04-06 Triple Integrals 04-07 Change of Variables
04-11 Line Integrals 04-13 Line Integrals 04-14 Green's Theorem
04-18 Green's Theorem 04-20 Surface Integrals and the Divergence Theorem 04-21 Surface Integrals and the Divergence Theorem
04-25 Surface Integrals and the Divergence Theorem 04-27 Review 04-28 Test 3
05-02 Stokes' Theorem 05-04 Stokes' Theorem 05-05 Stokes' Theorem
05-09 Review 05-11 Review 05-12 Review

Final Exam 05-18 11:30--1:30 (SCC 1304)

Grading Scheme and course requirements 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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