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