College of the Holy Cross, Spring 2012

Math 241 (Multivariable Calculus)

Professor Hwang (rhymes with song).

Teaching schedule and office hours.

Last modified: May 4, 2012

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Course Information

The course text is Basic Multivariable Calculus, by Jerrold Marsden, Anthony Tromba, and Alan Weinstein.

• Lecture Schedule
• Problem Sets
• Course Outline

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Worksheets

• Worksheet 7 (No write-up)
• Worksheet 5 (Due Friday, April 13)
• Worksheet 4 (Due Friday, March 16)
• Worksheet 3 (No write-up)
• Worksheet 2 (Due Friday, February 10)
• Worksheet 1 (Due Friday, February 3)

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Miscellaneous Images, Animations, and Handouts

• Practice Problems on Surface Integrals, and Answers.
• Summary of Line and Surface Elements.
• Cylindrical versus Spherical Coordinates.
• Change of Variables.
• Arc length and reparametrization.
• Uniform Circular Motion and Acceleration.
• A hyperboloid of one sheet, and a cutaway section of 2+1-dimensional spacetime.
• Vector fields (supplementary examples for February 17).
• Graphs and slices (supplementary examples for February 3).
• Spherical coordinates (supplementary notes for February 1).
• Orthogonal projection (supplementary notes for January 26).