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.
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
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.
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
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
Course Description This undergraduate course focuses on traditional algebra topics that have found greatest application in science and engineering as well as in mathematics.
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, […]
Course Description This course covers cells and tissues of the immune system, lymphocyte development, the structure and function of antigen receptors, the cell biology of antigen processing and presentation, including molecular structure and assembly of MHC molecules, the biology of cytokines, leukocyte-endothelial interactions, and the pathogenesis of immunologically mediated diseases.
Course Description The object of the program is to teach college students an approach to the research of pharmacologic agents. It is certainly not supposed to be a review of the pharmacopoeia. The focus is in the fundamental concepts of biophysics, biochemistry and additionally physiology, as associated with the mechanisms of drug action, biodistribution […]
Course Description The most recent knowledge of the anatomy, physiology, biochemistry, biophysics, and bioengineering of the gastrointestinal tract and the associated pancreatic, liver and biliary tract systems is presented and discussed. Gross and microscopic pathology and the clinical aspects of important gastroenterological diseases are then presented. Lecture Notes Overview of Embryology