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Mathematics


Mathematics - Open Courseware (OCW)

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Calculus

Missouri University (US)

Review of Pre-Calculus, Trigonometry, Inverse Functions, Exponential & Logarithmic Functions, Limits, Inverse Sine, Cosine, and Tangent
 



 

Partial Differential Equations

California 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 Theory

Colorado University (US)

fundamentals of coding theory, linear, Reed-Muller, Golay, cyclic and BCH codes: Supplements, Bibliography


First order differential equations

Open University (UK), LearningSpace

lays the foundations of Newtonian mechanics and procedure for solving dynamics problems
 



 

Calculus on the Web

Temple University (US)

internet utility for learning and practicing: books (precalculus, calculus), linear algebra, number theory, abstract algebra


Linear Algebra

MIT 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 Applications

MIT (US), OpenCourseWare

theory of the Lebesgue integral with applications to probability; Fourier series and Fourier integrals.


Principles of Discrete Applied Mathematics

MIT (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 Equations

MIT (US), OpenCourseWare

solution 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
 



 

Combinatorics

Queen 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


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