MAT133Y1Y

Lecture 1: Introduction to MAT133

Lecture 2: Functions

Lecture 3: Linear functions

Lecture 4: Average Rate of Change

Lecture 5: Instantaneous Rate of Change

Lecture 6: The Derivative Function

Lecture 7: Interpretations of the Derivative

Lecture 8: Second Derivative

Lecture 9: Marginal Cost and Revenue

Lecture 10: Focus on Theory

Lecture 11: Continuity

Lecture 12: Derivative Rules

Lecture 13: Product Rule Worksheet

Lecture 14: Chain Rule

Lecture 15: Trig Function

Lecture 16: Optimization

Lecture 17: Inflection Points

Lecture 18: Global Extrema

Lecture 19A: Optimization

Lecture 19B: Optimization II

Lecture 20: Compound Interest

Lecture 21: Continuous Compounding

Lecture 22: Payment Sequence

Lecture 23: Geometric Series

Lecture 24: Accumulated Change

Lecture 25: The Definite Integral

Lecture 26: The Definite Integral 2

Lecture 27: Interpretations of the Definite Integral

Lecture 28: Average Values

Lecture 29: Antiderivatives

Lecture 30: The Indefinite Integral

Lecture 31: Evaluating Indefinite Integrals

Lecture 32: Integration by Substitution

Lecture 33: Continuous Income Streams

Lecture 34: Integration by Parts

Lecture 35: Integration Practice

Lecture 37: Density Functions

Lecture 38: Density Functions II

Lecture 39: Cumulative Distribution Functions

Lecture 40: Mean and Median

Lecture 41: Functions of Two Variables

Lecture 42: Graphing Functions of Two Variables

Lecture 43: Cross-sections

Lecture 44: Contours

Lecture 45: Linear Functions

Lecture 46: Partial Derivatives

Lecture 47: Partial Derivatives and Linear Approximation

Lecture 48: Linear Approximation 

Lecture 49: Directional Derivatives 

Lecture 50: Dot Product and Directional Derivatives

Lecture 51: The Gradient Vector

Lecture 52: The Gradient Vector, Continued

Lecture 53: Unconstrained Optimization

Lecture 54: Classifying Critical Points

Lecture 55: Constrained Optimization

Lecture 56: Lagrange Multiplier

Lecture 57: More Lagrange Multiplier

Lecture 58: Optimization with Inequality Constraint

Lecture 59: Optimization Review.

Lecture 60: Exam Review

Lecture 61: Systems of Linear Equations

Lecture 62: Elementary Operations

Lecture 63: Echelon Forms

Lecture 64: Gaussian Elimination

Lecture 65: Parametric Solutions

Lecture 66: Transition Matrices

Lecture 66: Matrix Multiplication

Lecture 67: Markov Chains

Lecture 68: Limiting Behaviour

Lecture 69: Steady-State Vectors

Lecture 70: Regular Matrices

Lecture 71: Regular Matrices Continued.

Lecture 72: Review.