Math 2241 Course Outline

MATH 2241 (CALCULUS III) Course Outline

Check with your instructor for the class syllabus, exam schedules and textbook information.

Week 1 Three-Dimensional Coordinate Systems; Vectors

Week 2 The Dot Product; The Cross Product

Week 3 Equations of Lines and Planes

Week 4 Cylinders and Quadratic Surfaces

Week 5 Review for Test 1; Test 1

Week 6 Vector Functions and Space Curves

Week 7 Arc Length and Curvature; Motion in Space

Week 8 Functions of Several Variables; Limits and Continuity

Week 9 Partial Derivatives; Tangent Planes and Linear Approximations

Week 10 Review for Test 2; Test 2

Week 11 The Chain Rule; Directional Derivatives and the Gradient Vector

Week 12 Maximum and Minimum Values; Lagrange Multipliers (optional)

Week 13 Double Integrals over Rectangles; Iterated Integrals; The Notion of Triple Integrals

Week 14 Double Integrals over General Regions; Double Integrals in Polar Coordinates; Applications of Double Integrals

Week 15 Review for Test 3; Test 3

Week 16 Review for Final; Final Exam