Math 251 Lecture Notes

Spring 2013

Dr Oksana Shatalov

This page will be updated as the semester progresses.

Exam I Notes

Week 1 (01/14-01/18)

Sections 11.1-11.3 (Review) Completed Notes

Week 2 (01/23-01/28)

Section 11.4 (Equations of lines and planes) Completed Notes

Section 11.5 (Quadric surfaces) and Appendix 11.5 (from the Linear Algebra book) Completed Notes

Week 3 (01/30-02/04)

Section 11.6 (Vector Functions and Space Curves) Completed Notes

Section 12.1 (Functions of Several Variables) Completed Notes
Sections 12.2-12.3 (Partial Derivatives) Completed Notes

Week 4 (02/06-02/11)

Section 12.4 (Tangent Planes and Differentials) Completed Notes

Section 12.5 (The Chain Rule) Completed Notes

Exam II Notes

Weeks 5&6 (02/13-02/25)

Section 12.6 (Directional Derivatives and the Gradient Vector) Completed Notes
Section 12.7 (Maximum and Minimum Values) Completed Notes

Section 13.1 (Double integrals over rectangles) Completed Notes
Section 13.2 (Iterated Integrals) Completed Notes

Week 7 (02/27-03/04)

Section 13.3 (Double integrals over general regions) Completed Notes

Section 13.4 (Polar coordinates) Completed Notes For more profound review see 152Completed Notes

Section 13.5 (Double integrals in polar coordinates) Completed Notes

Week 8 (03/06-03/18)

Section 13.6 (Applications of double integrals) Completed Notes

Section 13.8 (Triple Integrals) Completed Notes

Sections 13.9-13.10 (Part I) (Triple integrals in cylindrical coordinates) Completed Notes

Exam III Notes

Week 9 (03/20-03/25)

Sections 13.9-13.10 (Part II) (Triple integrals in spherical coordinates) Completed Notes
Section 14.1 (Vector Fields) Completed Notes

Week 10 (03/27-04/03)

Section 14.2 (Line Integrals) Completed Notes
Section 14.3&14.4 (The fundamental Theorem for Line Integrals & Green's Theorem) Completed Notes

Week 11 (04/05-04/10)

Section 14.5 (Curl and Divergence) Completed Notes

Section 14.6 (Parametric surfaces and their areas) Completed Notes

Weeks 12,13 (04/12-04/24)

Section 14.7 (Surface Integrals) Completed Notes

Section 14.8 (Stokes' Theorem) Completed Notes

NEW MATERIAL FOR FINAL EXAM

Section 14.9 (The Divergence Theorem) Completed Notes

Week 14 (04/26-04/30)