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Maths (specialist)Open Courseware and Resources (specialist) Mathematics: body of knowledge centered on such concepts as quantity, structure, space and change and also the academic discipline that studies them (Wikipedia).CalculusReview of PreCalculus, Trigonometry, Inverse Functions, Exponential & Logarithmic Functions, Limits, Inverse Sine, Cosine, and Tangent
Partial Differential Equationsordinary differential equations in Banach spaces, implicit and Inverse functions theorems, First order nonlinear partial differential equations, CauchyDarbouxKovalevskaya theorem, elliptic ODE boundary valued problems, heat and Wave Equation, Spectral Theorem for selfadoint operators, Fourier Transform, solutions to Laplace heat and wave equations, Sobolev spaces, Nonconstant coefficient elliptic, heat and wave equations, NonLinear PDE's and Techniques
Mathematical Coding Theoryfundamentals of coding theory, linear, ReedMuller, Golay, cyclic and BCH codes: Supplements, Bibliography
First order differential equationslays the foundations of Newtonian mechanics and procedure for solving dynamics problems
Calculus on the Webinternet utility for learning and practicing: books (precalculus, calculus), linear algebra, number theory, abstract algebra
Linear Algebramatrix 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 Applicationstheory of the Lebesgue integral with applications to probability; Fourier series and Fourier integrals.
Principles of Discrete Applied Mathematicsillustrative topics in discrete applied mathematics, sorting algorithms, information theory, coding theory, secret codes, generating functions, Fourier Transforms, linear programming, game theory, applications
Differential Equationssolution of firstorder by analytical, graphical & numerical methods, undetermined coefficients, exponential signals, oscillations, damping, resonance, Fourier series, delta functions, convolution & Laplace transform, matrix & linear systems, eigenvectors, nonlinear autonomous systems, critical point analysis: recitations, course download, readings, tools
CombinatoricsWhat 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, ErdösKoRado theorem, Systems of distinct representatives, Latin squares, Steiner triple systems, Kirkman's Theorem

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