Mathematics

Lesson I-Complex Variables with Applications

Course Description This course explored topics such as complex algebra and functions, analyticity, contour integration, Cauchy’s theorem, singularities, Taylor and Laurent series, residues, evaluation of integrals, multivalued functions, potential theory in two dimensions, Fourier analysis and Laplace transforms.

Lesson II-Honors Differential Equations

Course Description This program covers the exact same material since Differential Equations (18.03) alongside more emphasis in concept. In addition, it treats mathematical areas of traditional differential equations like existence theorems. Lecture Notes and Readings

Lesson III-Differential Equations

Course Description Differential Equations are the language in which the laws of nature are expressed. Understanding properties of solutions of differential equations is fundamental to much of contemporary science and engineering. Ordinary differential equations (ODE’s) deal with functions of one variable, which can often be thought of as time.

Lesson IV-Calculus of Several Variables

Course Description This is a variation on 18.02 Multivariable Calculus. It covers the same topics as in 18.02, but with more focus on mathematical concepts. Lecture Notes Vectors in R2 and R3 Dot product Cross product

Lesson V-Single Variable Calculus

Course Description This introductory calculus program covers differentiation and also integration of features of one variable, alongside applications. Lecture Notes Velocity and Rates of Change Slope and Derivative Limits and Continuity Differentiation Formulas: Products and Quotients

Lesson VI-Modern Algebra

Course Description This undergraduate course focuses on traditional algebra topics that have found greatest application in science and engineering as well as in mathematics.

Lesson VII – Introduction to Statistics

Course Description If you invest in financial markets, you may want to predict the price of a stock in six months from now on the basis of company performance measures and other economic factors. As a college student, you may be interested in knowing the dependence of the mean starting salary of a college graduate, […]