Mathematics | Mathematics - Open Courseware (OCW)CalculusMissouri University (US)Review of Pre-Calculus, Trigonometry, Inverse Functions, Exponential & Logarithmic Functions, Limits, Inverse Sine, Cosine, and Tangent Partial Differential EquationsCalifornia University (US)ordinary differential equations in Banach spaces, implicit and Inverse functions theorems, First order nonlinear partial differential equations, Cauchy-Darboux-Kovalevskaya theorem, elliptic ODE boundary valued problems, heat and Wave Equation, Spectral Theorem for self-adoint operators, Fourier Transform, solutions to Laplace heat and wave equations, Sobolev spaces, Non-constant coefficient elliptic, heat and wave equations, Non-Linear PDE's and Techniques Mathematical Coding TheoryColorado University (US)fundamentals of coding theory, linear, Reed-Muller, Golay, cyclic and BCH codes: Supplements, Bibliography First order differential equationsOpen University (UK), LearningSpacelays the foundations of Newtonian mechanics and procedure for solving dynamics problems Calculus on the WebTemple University (US)internet utility for learning and practicing: books (precalculus, calculus), linear algebra, number theory, abstract algebra Linear AlgebraMIT OpenCourseWare (US)matrix theory and linear algebra, emphasis on topics useful in other disciplines including systems of equations, vector spaces, determinants, eigenvalues, similarity, and positive definite matrices: Readings, Tools, Study Materials, Related Resources Fourier Analysis - Theory and ApplicationsMIT (US), OpenCourseWaretheory of the Lebesgue integral with applications to probability; Fourier series and Fourier integrals. Principles of Discrete Applied MathematicsMIT (US)illustrative topics in discrete applied mathematics, sorting algorithms, information theory, coding theory, secret codes, generating functions, Fourier Transforms, linear programming, game theory, applications Differential EquationsMIT (US), OpenCourseWaresolution of first-order by analytical, graphical & numerical methods, undetermined coefficients, exponential signals, oscillations, damping, resonance, Fourier series, delta functions, convolution & Laplace transform, matrix & linear systems, eigenvectors, non-linear autonomous systems, critical point analysis: recitations, course download, readings, tools CombinatoricsQueen Mary (UK)What is, Subsets and binomial coefficients, Lucas' Theorem, Selections and arrangements, Power series, Recurrence relations, Partitions and permutations, The Principle of Inclusion and Exclusion, Families of sets, Erdös-Ko-Rado theorem, Systems of distinct representatives, Latin squares, Steiner triple systems, Kirkman's Theorem |