Arsdigita University '00 streaming
Topics included: Logic, relations, functions, basic set theory, graph theory, countability and counting arguments, proof techniques, graph theory, combinations, discrete probability, recursion, number theory; Applications of maths in Computer science; Boolean algebra; etc
Arsdigita University '00 streaming
Modeling, Quantification and analysis of uncertainty by random variables, simple random processes, and their probability distributions, Markov processes, limit theorems, elements of statistical inference and decision making under uncertainty etc...
School of Mathematics lectures from '99 to '06
Contact Geometry in low-dimensions; Divisors on the Modulispace of Bundles; Random walks form Einstein to the Present; Singular support and Determinant of Co homology; Non-Commutive Motives; Hecke Algebras with Unequal Parameters; Fundamental Lemma and Equivariant Cohomology; Estimates of Periods of Automorphic Functions and Subconvexity of L-functions; Iterated Shimura Integrals; 16 Lectures on Practice of Mathematics etc....
Texas A&M University Spring 2003 streaming
Introduction; Babylonian and Egyptian Mathematics; Axiomatic Systems: Geometry, Arithmetic, Set theory; Limits (3 parts); Functions (2); Geometry (4); Calculus of Variations (2); Optimization; Complex Arthimatic; Computer Graphics; Historically Important Problems; Distribution ofPrimes; Proof of Fermat’s (Little) Theorem; Cryptography, Prime Factorizations and Public Key Encryption; Problems and Puzzles involving Primes. etc...
SLUO, 2000 streaming
The Fundamentals; Point Estimation; Maximum Likelihood, Least squares; Confidence Interval; Interval Estimation; Systematic errors; Bootstrap technique; Optimal Observables; Signals, Backgrounds, Consistencies and probabilities; Maximum Entropy and related methods; Monte Carlo Methods; Pattern Recognition/ Hough Transform/ Kalman Filter etc....
Spring 2003 streaming
MPI, OpenMP, and STAR-P; Parallel Prefix; Dense Linear Algebra I ,II & III; Sparse Linear Algebra I & II; Parallel Computer Architecture; FFT; Domain Decomposition; Fast Multipole; Partitioning etc....
University of Houston
Slopes, Equations and Graphing lines; Linear Depreciation, Cost, Revenue and Profit Functions; Insertion of lines; Break-even Analysis; Least Squares, Graphing Linear Inequalities; Linear Programming; Simple Interest; Annuities; Amortizations; Sets; Venn Diagrams; Permutations and Combinations; Probability; Bay’s Theorem; Random variables, distributions etc....
October 2001
Compound statements and truth tables, Tree diagrams, Sets, Partitions and binomial coefficients, Pascal’s triangle, Probability, Venn diagrams, Central limit theorem etc....
Fall Quarter 2005
University of Houston 2006
Limits, Graphs, Continuity, Derivatives, Leibniz Notation and Chain Rule, Implicit Differentiation, Rectilinear motion, Newton’s method, Integrals, Curves, Power, Taylor and Maclaurin Theorems etc....
Professor Karl Heinz Dovermann University of Hawaii
Algebraic expressions and Constants, Functions, Basic Graphing, Substituting, Differentiating and Integrating, Limits, Vector function, Iterates, Matrix operations, tangent lines, Euler’s method etc....
San Francisco State University
Illustration of Integral test; The Harmonic Series Diverges; Absolute and Conditional Ratio Test;
