## Math 105 - Lecture Notes

Jan 2 - Points and Vectors in R3

Jan 4 - Planes

Jan 4 - Planes - Figures

Jan 4 - Surfaces and Traces

Jan 4 - Surfaces and Traces - Figures Page 1

Jan 4 - Surfaces and Traces - Figures Page 2

Jan 7 - Functions of Several Variables

Jan 7 - Functions of Several Variables - Figures

Jan 9 - Partial Derivatives

Jan 9 - Partial Derivatives - Figures

Jan 11 - Local Minima and Local Maxima

Jan 11 - Local Maxima and Local Minima - Figures Page 1 - Graph of f(x,y) = x^2 - y^2. Saddle point at (0,0).

Jan 11 - Local Maxima and Local Minima - Figures Page 2 - Graph of f(x,y) = x^3 - 3xy^2. Saddle point at (0,0).

Jan 11 - Local Maxima and Local Minima - Figures Page 3

Jan 11 - Local Maxima and Local Minima - Figures Page 4

Jan 14 - Absolute Maxima and Absolute Minima Part 1

Jan 16 - Absolute Maxima and Absolute Minima Part 2

Jan 18, Jan 21 - Constrained Optimization Problems

Jan 23, Jan 25 - Definite Integrals

Jan 28, Feb 1 - Definite Integrals 2

Jan 30 - Sample Midterm 1 - Version 2

Jan 30 - Sample Midterm 1 - Version 2 - Solutions

Feb 4 - Indefinite Integrals

Feb 6 - Fundamental Theorem of Calculus

Feb 6, Feb 8 - Substitution Rule

Feb 8 - Integration By Parts

Feb 13 - Trigonometric Integrals

Feb 13 - Trigonometric Integrals Handout

Feb 15 - Trigonometric Substitution

Feb 15, Feb 25 - Partial Fractions

Feb 27 - Numerical Integration

Mar 1, Mar 4 - Improper Integrals

Mar 6 - Differential Equations

Mar 8, 11 - Probability

Mar 13 - Midterm 2 Review

Mar 15, 18 - Sequences

Mar 20 - Infinite Series

Mar 22, 24 - Convergence Tests

Mar 27 - Taylor Polynomials and Taylor Series

Apr 3 - Power Series

Apr 5 - Representing Functions as Sums of Power Series