# 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:

• Tu, Th 11:30--12:55 (SCC 1304)
• F 10:00--11:25 (SBS A144)

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

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

Calculator:

• Symbolic calculators, such as TI-89 or TI-92, are not allowed in the tests.
• Geogebra is a java-based software for mathematics. It also available for Windows, iOS and Linux.
• CoCalc is a cloud service for running SAGE codes and more.

Assignment: Exercises will be assigned via Webwork.

Online Resources: Here are some useful links:

Tentative Schedule
01-23 01-25 01-26 Vector Algebra Dot Product Cross Product Discussion Lines and Planes Lines and Planes Discussion Arc Length Arc Length Function of Several Variables Partial Derivatives Review Test 1 Tangent Planes Tangent Planes The Chain Rule The Chain Rule Directional Derivatives and Gradient Directional Derivatives and Gradient Max and Min Max and Min Lagrange Multipliers Lagrange Multipliers Review Test 2 Double Integrals Double Integrals Over a General Region Spring Break Spring Break Spring Break Triple Integrals Triple Integrals Change of Variables Line Integrals Line Integrals Green's Theorem Green's Theorem Surface Integrals and the Divergence Theorem Surface Integrals and the Divergence Theorem Surface Integrals and the Divergence Theorem Review Test 3 Stokes' Theorem Stokes' Theorem Stokes' Theorem Review Review 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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