Resources for Classes at CMU

This is a list of the resource-laden schedules/outlines that I’ve created for courses I teach here at CMU. Most of them are hosted on GitHub.

Math Investigations

Specific content includes problem solving, mathematical models, financial mathematics, set theory, logic, probability, descriptive statistics, and the appropriate use of technology.

College Algebra

Functions and their graphs, modelling, linear functions, polynomial functions, power functions, exponential functions, logarithms, solving equations, inequalities and systems of linear equations.

Cartesian space, functions, trigonometric functions and their graphs, trigonometric identities, solving trigonometric equations, inverse trigonometric functions, triangle solution techniques, and vectors.

Engineering Calculus I

Functions, limits, continuity, differentiation, related rates, optimization, analytic geometry, the fundamental theorem of calculus, integration, and volumes of solids of revolution.

Engineering Calculus II

Techniques of integration, trigonometric and hyperbolic functions, inverse, logarithmic, and exponential functions, sequences and series, polar coordinates, and parametric equations.

Calculus III

Three-dimensional space, vectors, functions of several variables, partial derivatives, directional derivatives, multiple integrals, vector fields, and the integral theorems of vector calculus.

Problem Solving (Putnam) Seminar

The William Lowell Putnam Mathematics Competition is an annual contest for US and Canadian undergraduate mathematicians. In this seminar we’ll be solving math problems in preparation.