Lecture notes for Math 195, Section 59, Spring 2010-11

These are lecture notes, quizzes, and review sheets for the Math 195 course taught in Spring 2010-11. The official course title is "Mathematics for Social Sciences" but the course is basically a multivariable calculus course.

All are unpolished PDF files that were used as lecture notes, quizzes or review notes. Feel free to use as you see fit, but there is no guarantee of accuracy or completeness. Some PDF files correspond to material covered in one lecture; others spanned more than one lecture. When I refer to the "book", I am talking about the multivariable calculus text by James Stewart, 6th edition. The notes may also contain colloquial and contextual references that do not make sense to outside readers.

Please contact me if you want the source LaTeX.

See also my teaching page.

Lecture notes plus quizzes

Title of notes + link to PDF	Corresponding sections in the calculus text (Stewart, 6th Ed)	Quiz on related material
Parametric stuff	Sections 11.1, 11.2	quiz corresponding to Section 11.1, quiz corresponding to Section 11.2
Polar coordinates	Section 11.3	polar coordinates quiz
3D geometry	Section 13.1	3D geometry quiz
Vector stuff	Sections 13.2, 13.3, 13.4	vectors quiz
Vector-valued functions	Section 14.1, 14.2	None
Equations of lines and planes	Section 13.5	None
Functions of several variables	Section 15.1	multivariable basics quiz
Limits in multivariable calculus	Section 15.2	multivariable limits quiz
Partial derivatives	Section 15.3	partial derivatives quiz
Tangent planes and linear approximations	Section 15.4	None
Chain rule	Section 15.5	None
Double and iterated integrals	Sections 16.2, 16.3	multivariable integration quiz
Directional derivatives and gradient vectors	Section 15.6	None
Max-min values	Section 15.7	(None, but see quizzes on later topics)
Lagrange multipliers	Section 15.8	None
Max-min values: examples	Builds on ideas in Sections 15.7, 15.8	max-min values examples quiz

Quizzes not directly corresponding to any particular lecture notes Most of these review ideas covered in single variable calculus

Review of limits, continuity, and differentiation: Repetition of some of the trickier questions from quizzes in Math 152.
Integration: Review of integration by parts and radical integration from quizzes in Math 153.
Max-min values: Review of max-min problems from quizzes in Math 152.

Review sheets

Review sheet name + link	Sections of book covered (use lecture notes table to figure out corresponding lecture notes)
Review sheet for midterm 1	Sections 7.6-7.8, 1.8, 8.2-8.3
Review sheet for midterm 2	Sections 8.4, 8.5, 9.1-9.2, Chapter 11
Review sheet for final	Chapter 12