Email: mouille@math.ucr.edu

Office Hours: Mondays & Wednesdays, 11 am - 12 pm, Surge 281

Lectures: Monday - Thursday, 10:10 am - 11 am, INTN 1006

Discussions: Tuesdays, 3:10 pm - 4:30 pm, Surge 173

Syllabus: Math 10B Syllabus

Schedule: Tentative Schedule

Resources for the final:

• Practice Problems

  • Practice Problems Solutions

Homework Assignments:

• WebAssign - assignments due regularly

• Homework 1 - due August 8

  • Homework 1 Solutions (correction to #1: The bounds for x and y need to be switched.)

• Homework 2 - due August 15

  • Homework 2 Solutions

• Homework 3 - due August 22

  • Homework 3 Solutions (correction to #3: The bounds for θ should be from 0 to π/2. I forgot the region should be in the first octant only.)

• Homework 4

  • Homework 4 Solutions

• Homework 5

  • Homework 5 Solutions

Practice Problems (from the ebook):

• Chapter 5:

  • 5.1 - 10, 11, 12

  • 5.2 - 1, 4, 10, and just read 17

  • 5.3 - 2, 3, 7, 8, 15, 16

  • 5.4 - 2, 12, 14, 15

  • 5.5 - 2, 6, 11, 12, 14, 17, 20, 21

• Chapter 6:

  • 6.1 - 5, 10, 11

  • 6.2 - 4, 5, 7, 21, 23, 26

    • Solutions: 7, 26

• Chapter 7:

  • 7.1 - 3, 7, 9, 12, 13, 22, 27

  • 7.2 - 1, 8, 9, 11, 14, 16

Useful Links:

• GeoGebra - Create nice 2D and 3D images. Download it for your computer or other devices, or use the in-browser version.

• Paul's Online Notes - Notes and worked-out problems for multivariable calculus with nice images.

• Jacobian Explained - John Simanyi wrote these notes for you guys to get more intuition for the change of variables formula.

• Scalar Path Integral - An animation illustrating what scalar path integrals are computing

• Vector Path Integral - An animation illustrating what vector path integrals are computing