• Please note that topics listed for a given lecture may be covered in the previous or subsequent lecture.
• Each lecture lists the sections of the book that will be covered; it is best to read these before the lecture if possible.
• Sections of the book that do not appear below (e.g. 10.6) will not be covered in the course, and reading these is optional.
• Quizzes will emphasize the sections listed but may review earlier material as needed.
• For extra practice, the review problems at the end of each chapter are highly recommended.
• After each lecture I have posted links to the "Check your understanding" (CYU) questions that were asked in lecture.

Part 1. Geometric preliminaries.

• Lecture Jan 20. Introduction; parametrized curves. 10.1, 10.2. CYU 1, 2.
  • No quiz Jan 21.
• Lecture Jan 22. Polar coordinates. 10.3, 10.4. CYU 3, 4, 5, 6.
  • Homework due Jan 23 (extended to Jan 26). 10.1: 9, 19, 21, 24, 28, 31, 33, 37, 45.
  • Homework due Jan 26. 10.2: 3, 7, 11, 17, 31, 41, 51. 10.3: 11, 19, 23, 39, 54, 55.
• Lecture Jan 27. Three-dimensional space, vectors, dot product. 12.1, 12.2, 12.3. CYU 7, 8, 9.
  • Quiz Jan 28: covers 10.1-10.3.
• Lecture Jan 29. Determinant, cross product. 12.4. CYU 10, 11, 12.
  • Homework due Jan 30: 10.4: 5, 17, 27, 31, 41, 47. 12.1: 7, 20, 33, 41. 12.2: 7, 25, 29, 51.
  • Homework due Feb 2: 12.3: 1, 11, 25, 27, 55, 63, 64. 12.4: 13, 19, 29, 43, 44, 48, 53.
• Lecture Feb 3. Lines and planes, quadric surfaces. 12.5, 12.6. CYU 13, 14, 15.
  • Quiz Feb 4: covers 10.4, 12.1-12.4.
• Lecture Feb 5. Vector-valued functions, space curves. 13.1, 13.2. CYU 16, 17, 18.
  • Homework due Feb 6: 12.5: 1, 5, 7, 19, 27, 39, 45, 53, 61, 71. 12.6: 21-28, 41, 45, 46.
  • Homework due Feb 9: 13.1: 21-26, 27, 41, 47. 13.2: 3, 23, 27, 41, 51, 53, 54.

Part 2. Differentiation.

• Lecture Feb 10. Functions of several variables. Limits and continuity. 14.1, 14.2. CYU 19, 20, 21.
  • Quiz Feb 11: covers Part 1.
• Lecture Feb 12. Partial derivatives, tangent planes, linear approximation. 14.3, 14.4. CYU 22, 23, 24.
  • Homework due Feb 13. 14.1: 13, 32, 36, 59-64, 65, 69. 14.2: 5, 7, 9, 11, 13, 29, 31, 39.
• Lecture Feb 17. The chain rule. 14.5. CYU 25, 26.
  • Homework due Feb 18. 14.3: 10, 25, 45, 47, 51, 53, 61, 74, 77. 14.4: 1, 3, 19, 21, 25, 35.
  • Quiz Feb 18: covers 14.1-14.4.
• Lecture Feb 19. Directional derivative, gradient, maxima and minima. 14.6, 14.7. CYU 27, 28, 29.
  • Homework due Feb 20: 14.5: 5, 7, 13, 14, 15, 21, 27, 31, 35, 39, 45, 53.
  • Homework due Feb 23. 14.6: 7, 11, 21, 41, 49, 51, 63.
• Lecture Feb 24. Review for the midterm.
  • No quiz Feb 25.
• Lecture Feb 26: Midterm #1, in class. Covers the material up to and including 14.6.
  • No homework due Feb 27.
  • Homework due Mar 2. 14.7: 3, 5, 29, 31, 39, 41, 47, 55.
• Lecture Mar 3: Lagrange multipliers. 14.8. CYU 30.
  • Quiz Mar 4: covers 14.5-14.7.

Part 3. Integration.

• Lecture Mar 5: Double integrals. 15.1, 15.2, 15.3.
  • Homework due Mar 6: 14.8: 1, 3, 11, 14, 19, 21, 22, 31, 37. 15.1: 11, 13.
  • Homework due Mar 9: 15.2: 3, 15, 19, 24, 25, 31. 15.3: 14, 22, 23, 27, 43, 49, 51, 56.
• Lecture Mar 10: More double integrals. 15.4, 15.5, 15.6. CYU 31, 32, 33.
  • Quiz Mar 11: covers 14.8, 15.1, 15.2, 15.3.
• Lecture Mar 12: Triple integrals. 15.7.
  • Homework due Mar 13: 15.4: 5, 11, 17, 21, 27, 29, 35. 15.5: 3,9. 15.6: 3, 7.
  • Homework due Mar 16: 15.7: 9, 13, 17, 19, 29, 35, 36, 37, 42, 53.
• Lecture Mar 17: Triple integrals in cylindrical and spherical coordinates. 15.8, 15.9..
  • Quiz Mar 18: covers 15.4, 15.5, 15.6, 15.7.
• Lecture Mar 19: Change of variables, Jacobian. 15.10.
  • Homework due Mar 20: 15.8: 7, 8, 15, 17, 21, 25, 29. 15.9: 7, 15, 21, 23, 27.
  • Homework due Mar 30: 15.9: 28, 30, 39. 15.10: 11, 13, 15, 17, 19, 23, 25, 27, 28.
• Lecture Mar 31: Review for the midterm.
  • No quiz Apr 1.
• Apr 2: Midterm #2, in class. Covers up to 15.10, with emphasis on 14.7, 14.8 and Chapter 15.
  • No homework due Apr 3.
  • No homework due Apr 6.

Part 4. Vector calculus.

• Lecture Apr 7: Vector fields and line integrals. 16.1, 16.2.
  • Quiz Apr 8: Reviews material from parts 1 and 2 as needed.
• Lecture Apr 9: The fundamental theorem of line integrals. 16.3.
  • Homework due Apr 10: 16.1: 11-18. 16.2: 1, 5, 14, 17, 18, 19, 33.
  • Homework due Apr 13: 16.2: 41, 49, 50. 16.3: 3, 5, 7, 13, 19, 25, 26, 31-34.
• Lecture Apr 14: Green's theorem. 16.4.
  • Quiz Apr 15: covers 16.1, 16.2, 16.3.
• Lecture Apr 16: Curl and divergence. Parametrized surfaces. 16.5, 16.6.
  • Homework due Apr 17: 16.4: 1, 4, 8, 11, 18, 19, 22, 23, 28, 30.
  • Homework due Apr 20: 16.5: 13, 15, 17, 20, 27, 29, 31. 16.6: 1, 13, 14, 23, 34.
• Lecture Apr 21: Surface integrals. 16.7.
  • Quiz Apr 22: covers 16.5, 16.5, 16.5.
• Lecture Apr 23: Stokes' theorem. 16.8
  • Homework due Apr 24: 16.6: 39, 45, 61. 16.7: 5, 15, 23, 26, 29, 43, 49.
  • Homework due Apr 27: 16.8: 3, 7, 9, 11(a), 13, 16, 17, 18.
• Lecture Apr 28: Divergence theorem. 16.9.
  • Quiz Apr 29: covers 16.7, 16.8.
• Lecture Apr 30: Summary and review. 16.10
  • Homework due May 1: 16.9: 1, 7, 9, 12, 17, 18, 19, 24, 26.
  • No homework due May 4. Optional discussion section for review.
• No lecture May 5.
  • No quiz May 6. Optional discussion section for review.
• No lecture May 7.
  • No discussion section or homework due May 8.
• Final exam: Friday May 15, 7pm-10pm, location TBA. Covers the entire class, with more emphasis on Part 4.