This page will be updated as the semester progresses.

Week 1

• Sections 11.1-11.3  (Review)        Completed Notes
• Section 11.4 (Equations of lines and planes)      Completed Notes

Weeks 2&3

• Section 11.5 (Quadric surfaces) and Appendix 11.5         Completed Notes
• Section 11.6 (Vector Functions and Space Curves)         Completed Notes
• Section 12.1 (Functions of Several Variables)                       Completed Notes

Week 4

•  Section 12.3 (Partial Derivatives)                       Completed Notes
• Section 12.4 (Tangent Planes and Differentials)        Completed Notes

• Section 12.5 (The Chain Rule)        Completed Notes

Week 5

• Section 12.6 (Directional Derivatives and the Gradient Vector)        Completed Notes
• Section 12.7 Part A (Maximum and minimum values (Local Extremum))

          Completed Notes

                      Exam II Lectures

Week 6

• Section 12.7 Part B (Maximum and minimum values ( Absolute Extremum))        Completed Notes
• Absolute Extremum: Tutorial exercises

Week 7

• Section 14.1 (Vector Fields)        Completed Notes
• Section 14.2 (Line Integrals)        Completed Notes

• Section 13.1 (Double integrals over rectangles)        Completed Notes

• Section 13.2 (Iterated Integrals)                       Completed Notes

Week 8

• Section 13.3 (Double integrals over general regions)        Completed Notes
• Section 13.4 (Polar coordinates)        Completed Notes
• Section 13.5 (Double integrals in polar coordinates)        Completed Notes

Weeks 9&10

• Section 13.6 (Applications of double integrals)        Completed Notes

         Exam III Lectures

Section 13.8 (Triple Integrals)                       Completed Notes

Section 13.9 (Cylindrical and spherical coordinates)                       Completed Notes

Section 13.10 (Triple integrals in cylindrical and spherical coordinates)                       Completed Notes

Week 11

Section 14.3&14.4 (The fundamental Theorem for Line Integrals & Green's Theorem)                       Completed Notes

Week 12

Section 14.6 (Parametric surfaces and their areas)        Completed Notes

Section 14.7 (Surface Integrals)        Completed Notes

         New Material for the Final Test

Weeks 13,14,15

Section 14.5 (Curl and Divergence)        Completed Notes

Section 14.8 (Stokes'Theorem)        Completed Notes

Section 14.9 (The Divergence Theorem)       Completed Notes