Calculus 3 (Multivariable Calculus)

Topics covered: Vectors, dot and cross products, surfaces, differentiation of functions in several variables, arc length and curvature, partial derivatives, differentials, tangent planes and normal lines, extremas, LaGrange multipliers, differential equations, multiple integration, surface area, vector fields, Green's theorem, Divergence theorem, Stoke's Theorem.

Prerequisite: MATH 1401/1501 & 1411/1511 (or approval from chair)

Please note that this class is cross-listed as Math 2411 (Calc 3) and Math 2511 (Honors Calc 3).

Software: We will make use of the DyKnow client software. Please download and install that software.

General Information

• Syllabus

Practice Exams

• Exam 3 Practice (with Answers)
• Exam 2 Practice (with Answers)
• Practicing partials and
  max/min & integration
• Quiz 6
• Quiz 5
• Exam 1 Practice (with Answers)
• Quiz 4

Resources

• Wolfram Alpha
• DyKnow Vision

Maple Assignments

• Maple (Optional) Assignment [ pdf ]

Lectures

• 26 - Final Review
• 25 - Green's Thm [ pdf ]
• 24 - Work [ pdf ]
• 23 - Line integration [ pdf ]
• 22 - Vector fields [ pdf ]
• 21 - Review [ pdf ]
• 20 - Integration [ pdf ]
• 19 - Some review [ pdf ]
• 18 - Max/min Examples [ pdf ]
• 17 - Max/Min (and some review) [ pdf ]
• 16 - Gradient [ pdf ]
• 15 - Higher-Order Partials
• 14 - Limits [ pdf ]
• 13 - Surfaces [ pdf ]
• 12 - Motion in space [ pdf ]
• 11 - Review [ pdf ] for Exam 1 (with Answers)
• 10 - Curvature, tangents, normals [ pdf ]
• 09 - Arc length [ pdf ]
• 08 - Space curves [ pdf ]
• 07 - Distances [ pdf ]
• 06 - Lines, Planes, and Intersections [ pdf ]
• 05 - Lines and Planes [ pdf ]
• 04 - Dot and Cross product [ pdf ]
• 03 - The dot product [ pdf ]
• 02 - Vectors and surfaces [ pdf ]
• 01 - Intro to R^3 [ pdf ]

Assignments

• Exam 3 Practice (with Answers)
• 25: Green and Line Integration
• 24: Work
• 23: Line integration
• 22: Vector fields
• Exam 2 Practice (with Answers)
• 18: Practicing partials and max/min & integration
• 17: Max/Min
• 16: Gradient
• 15: Higher-order Partials
• Quiz 6
• 14: Limits
• 13: Surfaces
• Quiz 5
• 12: Motion in Space
• Exam 1 Practice
• 10: Curvature, tangents, and normals
• 09: Arc length
• 08: Space curves
• 06: Distances and Intersections
• 05: Lines and Planes
• 04: Dot and Cross product
• 03: Dot product and angles
• 02: Vectors and surfaces HW
• 01: Install DyKnow, experiment with Wolfram Alpha (take a derivative, find an integral, and take a limit)