# MATH 1MM3 Notes

January 9, 2023: 1. Intro and Exponential Functions (pdf)

January 11, 2023: 2. Exponential Functions and Compound Interest (pdf)

January 13, 2023: 3. Compound Interest and Introduction to Logarithmic Functions (pdf)

January 16, 2023: Logarithmic Functions (pdf)

January 18, 2023: Applications of Logarithmic Functions (pdf)

January 19, 2023: Differentiation of Exponential and Logarithmic Functions (pdf)

January 23, 2023: Approximating Small Changes (pdf)

January 25, 2023: Applications of the Derivative. Review of sections 3.1. (pdf)

January 26, 2023: Optimization. Review of Sections 3.2 and 3.4. (pdf)

January 30, 2023: Applications to Exponential Models (pdf)

February 1, 2023: Exponential Models and the Antiderivative (pdf)

February 2, 2023: Indefinite Integration (pdf)

February 6, 2023: Evaluating Indefinite Integrals and Solving Initial Value Problems (pdf)

February 8, 2023: Solving differential equations (pdf)

February 9, 2023: Solving separable differential equations (pdf)

February 13, 2023: More separable equations. Integration by substitution (pdf)

February 15, 2023: More integration by substitution (pdf)

February 16, 2023: Even more u-substitution! Oh, and the area under a curve (pdf)

Midterm 2 review (pdf)

February 27, 2023: The area under a curve and the Fundamental Theorem of Calculus (pdf)

March 1, 2023: Properties of the definite integral (pdf)

March 2, 2023: More definite integrals (pdf)

March 6, 2023: Definite integrals with u-sub (pdf)

March 8, 2023: Applications; the area between curves (pdf)

March 9, 2023: More applications (pdf)

March 13, 2023: Integration by parts (pdf)

March 15, 2023: More integration by parts (pdf)

March 16, 2023: Continuous income streams (pdf)

Midterm 3 review (pdf)

March 20, 2023: Functions of multiple variables (pdf)

March 22, 2023: Functions of multiple variables (cont.) Unfilled (pdf) Filled (pdf)

March 23, 2023: Partial derivatives (pdf)

March 27, 2023: More partial derivatives (pdf)

March 29, 2023: The chain rule and marginal analysis (pdf)

March 30, 2023: Optimization in 2 variables (pdf)

April 3, 2023: More optimization (pdf)

April 5, 2023: Lagrange multipliers (pdf)

April 6, 2023: More Lagrange multipliers (pdf)

April 10, 2023: Review I (pdf)

April 12, 2023: Review II (pdf)