Notes


Some excellent notes are also available at Prof. Feldman's webpage.


Lecture 1 on January 7, 2014.
Vectors and Planes - Section 12.1

Lecture 2 on January 9, 2014.
Traces and Level Curves-Section 12.2

Lecture 3 on January 14, 2014.
Partial Derivatives- Section 12.4

Lecture 4 on January 16, 2014.
Local Maxima and Minima-Section 12.8

Lecture 5 on January 21, 2014.
Absolute Maxima and Minima-Section 12.8

Conic Sections, Parametric forms, Trignometry review 1 and Trignometry review 2(by Prof. Joel Feldman)

Lecture 6 on January 23, 2014.
Lagrange Multipliers-Section 12.9

Lecture 7 and class handout on January 28, 2014.
Riemann Sums and Integrals-Section 5.1
A little more on Riemann Sums.

Lecture 8 on January 30, 2014.
Geometry and Integrals-Section 5.2

Lecture 9 and class handout on February 4, 2014.
Fundamental Theorem of Calculus-Section 5.3

Review for Midterm-1

Lecture 10 on February 6, 2014.
Method of Substitution and Integration by Parts-Sections 5.5 and 7.1

Lecture 11 on February 11, 2014.
Integration by Parts and Trignometric Integrals-Section 7.1 and Section 7.2

Lecture 12 on February 13, 2014.
Trignometric Intergration and Substitution-Section 7.3 and Section 7.2

Lecture 13 on February 25, 2014.
Trignometric Substitution and Partial Fractions-Section 7.3 and Section 7.4

Lecture 14 on February 27, 2014.
Differential Equations and Improper Integrals-Section 7.8 and Section 7.7

Lecture 15 on March 4, 2014.
Improper Integrals and Approximations-Section 7.7 and Section 7.6

Lecture 16 on March 6, 2014.
Approximations of Integrals-Section 7.6

Lecture 17 with addendum on March 11, 2014.
Probability-Appendix

Lecture 18 on March 13, 2014.
Expectation and Variance-Appendix

Lecture 19 on March 18, 2014.
Midterm Review

Lecture 20 on March 20, 2014.
Integral Test- Section 8.4

Lecture 21 on March 25, 2014.
Sequences and Divergence test for Series- Sections 8.1, 8.2 and 8.3

Lecture 22 on March 27, 2014.
Geometric and Telescopic Series- Section 8.3

Lecture 23 on April 1, 2014.
The Comparison Test and the Root Test- Section 8.5

Lecture 24 on April 3, 2014.
Power Series- Sections 9.2, 9,3 and 9.4

Lecture 25 on April 8, 2014.
Power Series- Sections 9.2, 9,3 and 9.4