**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*