Math 21D Course Page

  • Syllabus/Homework Assignments/Course Description

  • Thomas 11'th edition Sections 13,15,16

  • Homework Problems (Thomas 11th Edition)

  • Homework Solutions

  • Homework Quizes


  • From Kepler to Newton-Class Notes

  • Conservation of Energy-Class Notes

  • Lecture Oct 6, 2021 Sections 15.3-15.4

  • Lecture Notes for Oct 6, 2021 Sections 15.3-15.4

  • Lecture Oct 8, 2021 Sections 15.5

  • Lecture Notes for Oct 8, 2021 Sections 15.5

  • Lecture Nov 1, 2021 Sections 13.3/4

  • Lecture Notes for Nov 1, 2021 Sections 13.3-4

  • Lecture Nov 24, 2021 Maps as Surface Integrals, Section 16.6

  • Lecture Notes for Nov 24, 2021 Sections 16.6


  • Midterm I Fall 2021

  • Midterm I Solutions Fall 2021

  • Midterm II Fall 2021

  • Midterm II Solutions Fall 2021


  • Midterm I Winter 2019

  • Midterm I Solutions Winter 2019

  • Midterm II Winter 2019

  • Midterm II Solutions Winter 2019

  • Final Exam Winter 2019

  • Final Exam Solutions Winter 2019

  • Midterm I Spring 2016

  • Midterm I Solutions Spring 2016

  • Midterm I Winter 2018

  • Midterm I Solutions Winter 2018

  • Midterm II Solutions Spring 2016

  • Midterm II Winter 2015

  • Midterm II Solutions Winter 2015

  • Midterm II Solutions Winter 2018

  • Final Exam/Solutions Spring 2016

  • Final Exam Winter 2015

  • Final Exam/Solutions Winter 2014

  • Final Exam Winter 2018

  • Final Exam/Solutions Winter 2018

  • Meaning of the Curl--Class Notes

  • Old Exams

  • Maxwell's Equations, Stokes Theorem and the Speed of Light: Section 10 of proposed new course MAT22C

  • Articles on Vector Calculus

  • Articles on Vector Calculus

  • Doing without Dark Energy, (UCD Press Release)

  • Crinkled Maps of Spacetime, (Math Newsletter)