- Part 0 – Core problems
- Part I – Core problems
- Part II – Chapter 2 – Counting elements – Problems
- Part II – Chapter 3 – Introduction to Probability – Problems
- Lecture 1 – Review of vectors
- Lecture 2 – Functions of several variables
- Lecture 3 – Limits and Continuity
- Lecture 4 – Partial derivatives, Lecture 4 – Partial Derivatives – Slides
- Lecture 5 – The Chain Rule
- Lecture 6 – Chain rule, exercises
- Lecture 7- Directional derivatives and gradient vector
- Lecture 8 – Some problems
- Lecture 8 – Tangent plane and linearization
- Lecture 9 – Extreme Values and Saddle Points
- Lecture 9 – Extreme values and saddles points – Slides
- Lecture 10 – Lagrange Multipliers – Slides (previous year)
- Lecture 10 – Lagrange Multipliers
- Lecture 11 – Review (some problems)
- Lecture 12 – Double and iterated integrals
- Lecture 13 – Sets and counting techniques,
- Lecture 13 – (Examples, exercises)
- Lecture 14 – Probability – Slides
- Lecture 15 – Conditional Probability and Independence – Slides
- Lecture 15 – Conditional Probability and Independence
- Lecture 16 – Random Variables
- Lecture 17 – Expected Value, Variance, Continuous Random Variables
- Lecture 18 – Continuous Random Variables
- Lecture 19 – Solving Linear Systems
- Lecture 20 – Gauss-Jordan Elimination
- Lecture 21 – Least-Squares Solutions
- Lecture 22 – Least Squares Solutions and Markov Chains
- Homework1
- Homework2
- Homework3
- Homework4
- Homework5
- Homework6
- Homework7
- Homework8
- Homework9
- Homework10
Eduardo García-Juárez 