New Mathematics Online Courses and Video Lectures
http://freevideolectures.com
Linear Algebra I - IIT Madras
http://freevideolectures.com/Course/3382/Linear-Algebra-I
Wed, 11 Feb 2015 00:00:00 -0700Formal Languages and Automata Theory - IIT Guwahati
http://freevideolectures.com/Course/3379/Formal-Languages-and-Automata-Theory
Wed, 04 Feb 2015 00:00:00 -0700
Introduction - Alphabet, Strings, Languages - Finite Representation - Grammars (CFG) - Derivation Trees - Regular Grammars - Finite Automata - Nondeterministic Finite Automata - NFA DFA - Myhill-Nerode Theorem - Minimization - RE FA - FA RE - FA RG - Variants of FA - Closure Propert...]]>A Basic Course in Real Analysis - IIT Kharagpur
http://freevideolectures.com/Course/3268/A-Basic-Course-in-Real-Analysis
Tue, 27 May 2014 00:00:00 -0600
Dedekind Theory of Irrational numbers : Rational numbers, section of Rational numbers, Irrational numbers, real Numbers, Dedekind Theorem, The Continuum Exercise- Tutorial
Cantor’s Theory of Irrational numbers : Cantor’s Theory, Convergent sequence of real numbers, Equivalenc...]]>Foundations of Optimization - IIT Kanpur
http://freevideolectures.com/Course/3363/Foundations-of-Optimization
Tue, 20 May 2014 00:00:00 -0600
Basic facts about maxima and minima - Examples and modeling - Mathematical Prerequisites - Optimality conditions for Unconstrained Optimization - The Steepest Descent Method - Convergence analysis of Steepest Descent Method - Newtons Method and Convergence Analysis - Quasi Newton Me...]]>Mathematics for Finance and Actuarial Studies 2 - Other
http://freevideolectures.com/Course/3304/Mathematics-for-Finance-and-Actuarial-Studies-2
Mon, 11 Nov 2013 00:00:00 -0700
Integrals of trig functions and reduction formulae - Integration by trig substitution and partial fractions - Integration + Partial Fractions - Integration via substitutions - Separable Differential Equations - Linear and Exact Differential Equations - Homogeneous first order ordina...]]>Differential equations I - Other
http://freevideolectures.com/Course/3302/Differential-equations-I
Sat, 09 Nov 2013 00:00:00 -0700
How to solve separable differential equations - Separable differential equations - How to solve initial value problems-Linear - first-order differential equations - First order, linear differential equation - Linear differential equations, first order - Homogeneous first order ordin...]]>Partial differential equations - Other
http://freevideolectures.com/Course/3294/Partial-differential-equations
Wed, 09 Oct 2013 00:00:00 -0600
how to solve PDE via method of characteristics - How to solve the transport equation (PDE) - How to solve basic transport PDE problems - The transport equation-How to solve PDE via directional derivatives - Solve PDE via an integrating factor - How to derive the more general transpo...]]>Complex Analysis - IIT Guwahati
http://freevideolectures.com/Course/3248/Complex-Analysis
Mon, 10 Jun 2013 00:00:00 -0600
Introduction : Introduction and overview of the course, lecture-wise description - The Algebra Geometry and Topology of the Complex Plane : Complex numbers, conjugation, modulus, argument and inequalities - Powers and roots of complex numbers, geometry in the complex plane, the exte...]]>Advanced Engineering Mathematics - IIT Kharagpur
http://freevideolectures.com/Course/3244/Advanced-Engineering-Mathematics
Tue, 30 Apr 2013 00:00:00 -0600
Linear Algebra : Review: Groups, Fields, & Matrices - Vector Spaces, Subspaces, Linearly dependent / independent of vectors - Basis, Dimension, Rank and Matrix Inverse - Linear Transformation, Isomorphism & Matrix Representation - System of Linear Equations, Eigenvalues and Eigenvec...]]>Real Analysis I - IIT Madras
http://freevideolectures.com/Course/3201/Real-Analysis-I
Wed, 20 Feb 2013 00:00:00 -0700
REVIEW OF SET THEORY : Operations on sets, family of sets, indexing set, functions, axiom of choice, relations, equivalence relation, partial order, total order, maximal element, Zorn’s lemma, finite set, countable set, uncountable set, Cantor’s theorem, cardinal numbers, Continuum ...]]>Introduction to Geometry - Other
http://freevideolectures.com/Course/3176/Introduction-to-Geometry
Mon, 31 Dec 2012 00:00:00 -0700
Congruence and Naming Properties of Segments,Naming and Classifying Angles,Congruence & Addition Properties of Angles,Special Angle Pairs,Classifying Triangles by Sides,Classifying Triangles by Angles,Interior Angles of Triangles,Two Triangle Inequality,Square and Square Roots,Right...]]>Real Analysis - Other
http://freevideolectures.com/Course/3153/Real-Analysis
Sun, 02 Dec 2012 00:00:00 -0700
Constructing the rational numbers,Properties of Q,Construction of R,The Least Upper Bound Property,Complex Numbers,The Principle of Induction,Countable and Uncountable Sets,Cantor Diagonalization, Metric Spaces, Limit Points,Relationship b/t open and closed sets,Compact Sets,Relati...]]>Functional Analysis - IIT Kharagpur
http://freevideolectures.com/Course/3145/Functional-Analysis
Thu, 15 Nov 2012 00:00:00 -0700
Metric Spaces : Metric spaces with examples,Holder inequality & Minkowski inequality,Various concepts in a metric space,Separable metric space with examples,Convergence, Cauchy sequence , Completeness,Examples of Complete & Incomplete metric spaces,Completion of Metric spaces +Tutor...]]>Advanced Matrix Theory - IISc Bangalore
http://freevideolectures.com/Course/3107/Advanced-Matrix-Theory
Tue, 25 Sep 2012 00:00:00 -0600
Introduction : First Basic Problem – Systems of Linear equations - Matrix Notation – The various questions that arise with a system of linear eqautions - Second Basic Problem – Diagonalization of a square matrix – The various questions that arise with diagonalization.

Measure and Integration - IIT Bombay
http://freevideolectures.com/Course/3103/Measure-and-Integration
Sat, 22 Sep 2012 00:00:00 -0600
Need to define Lebesgue Integral,Semi-algebra, Algebra, Monotone class, Sigma-algebra, Monotone class theorem. Measure spaces.Extension of measures from algebras to the generated sigma-algebras: Measurable sets; Lebesgue Measure and its properties.

Measurable function...]]>Regression Analysis - IIT Kharagpur
http://freevideolectures.com/Course/3091/Regression-Analysis
Sat, 01 Sep 2012 00:00:00 -0600
Introduction: the need for statistical analysis, Straight line relationship between two variables. SIMPLE LINEAR REGRESSION: fitting a straight line by least squares - Useful properties of Least squares fit, Statistical properties of least squares
estimators, Analysi...]]>Applied Multivariate Analysis - IIT Kanpur
http://freevideolectures.com/Course/3089/Applied-Multivariate-Analysis
Wed, 29 Aug 2012 00:00:00 -0600
Multivariate analysis is a fundamental concept in applied statistics. In this course - we shall first look at basic concepts of multivariate distributions and study standard multivariate distributions which provide multivariate counterparts of the univariate distributions<...]]>Elementary Numerical Analysis - IIT Bombay
http://freevideolectures.com/Course/3079/Elementary-Numerical-Analysis
Fri, 17 Aug 2012 00:00:00 -0600
Polynomial and piecewisepolynomial Interpolation : Divided Difference, Lagrange and Newton Form,Osculatory Interpolation.
Numerical Integration : Some Basic Rules, Gaussian Integration, Composite Rules,Adaptive Quadrature, Romberg integration.

Normal Forms and Resolution : Clauses, CNF and DNF representations, Adequacy of calculations, SAT, Resolution refutation, Adequacy of resolution. Computational Techniques - IIT Madras
http://freevideolectures.com/Course/3069/Computational-Techniques
Mon, 06 Aug 2012 00:00:00 -0600
Introduction : Motivation and applications.

Computation and Error Analysis : Accuracy and precision; Truncation and round-off errors; Binary Number System; Error propagation.

Linear Systems and Equations : Matrix representation; Cramer's rule; Gauss Eli...]]>Numerical Methods and Computation - IIT Delhi
http://freevideolectures.com/Course/3057/Numerical-Methods-and-Computation
Tue, 12 Jun 2012 00:00:00 -0600
Errors in Computation and Numerical Instability - Solution of Non linear Algebraic Equations - Solution of a System of Linear Algebraic Equations - Interpolation and Approximation - Numerical Differentiation and Integration...]]>Linear programming and Extensions - IIT Kanpur
http://freevideolectures.com/Course/3010/Linear-programming-and-Extensions
Sat, 19 May 2012 00:00:00 -0600
Following will be d...]]>Probability and Statistics - IIT Kharagpur
http://freevideolectures.com/Course/3009/Probability-and-Statistics
Mon, 14 May 2012 00:00:00 -0600
Algebra of Sets: sets and classes, limit of a sequence of sets, rings, sigma-rings, fields, sigma-fields, monotone classes.
Probability: Classical, relative frequency and axiomatic definitions of probability, addition rule and conditional probability, multiplication rule, tot...]]>Introduction to Probability and Statistics,Fall 2011 - UC Berkeley
http://freevideolectures.com/Course/2950/Introduction-to-Probability-and-Statistics-Fall-2011
Sun, 29 Apr 2012 00:00:00 -0600MMF1928H / STA 2503F - Pricing Theory I / Applied Probability for Mathematical Finance - University of Toronto
http://freevideolectures.com/Course/2849/MMF1928H-/-STA-2503F-Pricing-Theory-I-/-Applied-Probability-for-Mathematical-Finance
Tue, 05 Apr 2011 00:00:00 -0600
Binomial Model; No Arbitrage; Numeraires; Replication - Multi-period binomial model; CRR trees; continuous time limit; default model-Measure change and sample paths; Price Sensitivity; incomplete markets, variance minimizing hedge - Interest Rate Models; IR Calibration; Arrow - Debr...]]>ACT 460 / STA 2502 - Stochastic Methods for Actuarial Science - University of Toronto
http://freevideolectures.com/Course/2850/ACT-460-/-STA-2502-Stochastic-Methods-for-Actuarial-Science
Tue, 05 Apr 2011 00:00:00 -0600Differential equations III - Other
http://freevideolectures.com/Course/2842/Differential-equations-III
Wed, 30 Mar 2011 00:00:00 -0600
Fundamental Set of Solutions - Solve DE's with Two Distinct Real Roots - Transforming Systems ODE's and Checking Solutions - Solving ODE's with Complex Eigen Values - Solving Systems with Repeated Eigen Values - Test For Stability of the Origin-Solving Separable DE example - Solving...]]>Pre Algebra - Other
http://freevideolectures.com/Course/2844/Pre-Algebra
Wed, 30 Mar 2011 00:00:00 -0600
Fractions - simplifying using division - reduce fractions using prime factors - Prime Factorization - Order of opperations with integers - Division of integer - The Real Numbers - Multiplication of intergers numbers - Adding and Subtracting Integers - solve a system by substitution ...]]>Trigonometry I - Other
http://freevideolectures.com/Course/2845/Trigonometry-I
Wed, 30 Mar 2011 00:00:00 -0600
Special triangles-Unit Circle-trig to a point - Right triangle trig find 5 functions - Proving trig identities - Proving identities - prove trig identities level - Find theta known value - Evaluate the sin - Similar Triangles-Graphing the Sin(x) and Cos(X) - Even and Odd Functions...]]>Algebra I - Other
http://freevideolectures.com/Course/2847/Algebra-I
Wed, 30 Mar 2011 00:00:00 -0600
Find the domain of a rational expression - Multipling Polynomials - intro to polynomials - add and subtract polynomials - Simplifying algebraic expressions - Like terms - Combine Like terms - Properties of negative exponents - exponents with integers - exponents - exponent propertie...]]>Discrete Structures - IIT Madras
http://freevideolectures.com/Course/2282/Discrete-Structures
Tue, 15 Mar 2011 00:00:00 -0600Engineering Mathematics - The University of New South Wales
http://freevideolectures.com/Course/2508/Engineering-Mathematics
Mon, 24 Jan 2011 00:00:00 -0700
Vector Revision - Intro to curves and vector functions - Limits of vector functions - Calculus of vector functions - Calculus of vector functions tutorial - Vector functions of one variable tutorial - Vector functions tutorial - Intro to functions of two variables - Partial derivati...]]>Linear Algebra - The University of New South Wales
http://freevideolectures.com/Course/2505/Linear-Algebra
Thu, 06 Jan 2011 00:00:00 -0700Math 95 - Intermediate Algebra - Portland Community College
http://freevideolectures.com/Course/2837/Math-95-Intermediate-Algebra
Tue, 04 Jan 2011 00:00:00 -0700Math 60 - Introductory Algebra-1st Term - Portland Community College
http://freevideolectures.com/Course/2838/Math-60-Introductory-Algebra-1st-Term
Tue, 04 Jan 2011 00:00:00 -0700Math 65 - Introductory Algebra-2nd Term - Portland Community College
http://freevideolectures.com/Course/2839/Math-65-Introductory-Algebra-2nd-Term
Tue, 04 Jan 2011 00:00:00 -0700Math 20 - Arithmatic Review - Portland Community College
http://freevideolectures.com/Course/2840/Math-20-Arithmatic-Review
Tue, 04 Jan 2011 00:00:00 -0700MA 103 - Topics in Contemporary Mathematics - North Carolina State University
http://freevideolectures.com/Course/2768/MA-103-Topics-in-Contemporary-Mathematics
Thu, 02 Dec 2010 00:00:00 -0700
Preference Ballots: plurality Borda Count - Plurality with Elimination - Ranking - Weighted Voting Systems - Banzhaf Power Index - Shapley Shubik Power Index - Fair Division: Divider Choose ane Lone Divider - Lone Choose Last Diminisher - Sealed Bids - Method of Markers - Apportionm...]]>Algebraic Topology - The University of New South Wales
http://freevideolectures.com/Course/2721/Algebraic-Topology
Wed, 10 Nov 2010 00:00:00 -0700
Introduction to Algebraic Topology - One-dimensional objects - Homeomorphism and the group structure on a circle - Two-dimensional surfaces: the sphere - More on the sphere - Two-dimensional objects - the torus and genus - Non-orientable surfaces - the Mobius band - The Klein bottle...]]>Algebra I Worked Examples - Khan Academy
http://freevideolectures.com/Course/2655/Algebra-I-Worked-Examples
Fri, 05 Nov 2010 00:00:00 -0600
Solving Equations with the Distributive Property - Algebraic Word Problem-Sum of Consecutive Odd Integers - Example of Solving for a Variable - Absolute Value and Number Lines - Patterns in Sequence -Equations of Sequence Patterns - Finding the 100th Term in a Sequence - Functional ...]]>Algebra 2 - Other
http://freevideolectures.com/Course/2654/Algebra-2
Thu, 04 Nov 2010 00:00:00 -0600
Complex Numbers-Simple Examples - The Complex Plane - Mathematical Operations - The Imaginary Unit- Carl Friedrich Gauss - Complex Conjugates - Absolute Value -The Rational Zeros Theorem - Piecewise Functions - Real World Piecewise Functions...]]>AMC Sequences and Series - Other
http://freevideolectures.com/Course/2622/AMC-Sequences-and-Series
Fri, 15 Oct 2010 00:00:00 -0600
Geometric Progression - Arithmetic Progression - Sequences and Series...]]>AMC Polynomials and their Zeros - Other
http://freevideolectures.com/Course/2623/AMC-Polynomials-and-their-Zeros
Fri, 15 Oct 2010 00:00:00 -0600AMC Function - Other
http://freevideolectures.com/Course/2624/AMC-Function
Fri, 15 Oct 2010 00:00:00 -0600
Difficult Functions - General Equation of a Circle-Functions - An Introduction Functions - How to sketch a complicated function - Functions...]]>AMC Complex Numbers - Other
http://freevideolectures.com/Course/2625/AMC-Complex-Numbers
Fri, 15 Oct 2010 00:00:00 -0600Miscellaneous Mathematics - Other
http://freevideolectures.com/Course/2631/Miscellaneous-Mathematics
Fri, 15 Oct 2010 00:00:00 -0600Mobius Function - Other
http://freevideolectures.com/Course/2632/Mobius-Function
Fri, 15 Oct 2010 00:00:00 -0600
Identities and Mobidromes - Merten's function - Introduction - Merten's conjecture-Hat 0...]]>California Standards Test: Algebra II - Khan Academy
http://freevideolectures.com/Course/2566/California-Standards-Test-Algebra-II
Mon, 11 Oct 2010 00:00:00 -0600
California Standards Test introduction,Graphing Inequalities,Algebraic Division/Multiplication,Simplifying Polynomials-Imaginary and Complex Numbers - Complex numbers and conjugates - Quadratics and Shifts - Shifting Quadratic Graphs - Conic Sections-Circles and Logarithms - Logarit...]]>Geometry - Khan Academy
http://freevideolectures.com/Course/2567/Geometry
Mon, 11 Oct 2010 00:00:00 -0600
introduction to angles - Angles - Angles formed between transversals and parralel lines - Angles of parallel lines - The Angle Game - Similar triangles - Area and Perimeter - Circles: Radius, Diameter and Circumference - Area of a circle - The Pythagorean Theorem

45-4...]]>California Standards Test: Geometry - Khan Academy
http://freevideolectures.com/Course/2577/California-Standards-Test-Geometry
Mon, 11 Oct 2010 00:00:00 -0600
Deductive reasoning - Proof by Contradiction - More Proofs - Similar Triangles - Similar Triangles - A Geometry: More on cogruent and similar triangles - Triangles and Parallelograms - Area, Pythagorean Theorem-Area, Circumference, Volume - Pythagorean Theorem, Area- Exterior Angles...]]>California Standards Test: Algebra I - Khan Academy
http://freevideolectures.com/Course/2578/California-Standards-Test-Algebra-I
Mon, 11 Oct 2010 00:00:00 -0600
Algebra I: Number Properties and Absolute Value - Simplifying Expressions - Simple Logical Arguments - Graphing Inequalities - Slope and Y-intercept - Systems of Inequalities - Simplying Expressions- Factoring Quadratics - Completing the Square - Quadratic Equation - Quadratic Roots...]]>Probability - Khan Academy
http://freevideolectures.com/Course/2560/Probability
Sun, 10 Oct 2010 00:00:00 -0600
Permutations - Combinations - Probability using Combinations - Probability and Combinations - Conditional Probability and Combinations - Birthday Probability Problem - Introduction to Random Variables - Probability Density Functions - Binomial Distribution - Expected Value: E(X) - E...]]>Algebra - Khan Academy
http://freevideolectures.com/Course/2561/Algebra
Sun, 10 Oct 2010 00:00:00 -0600
Simple Equations - Equations - Linear Equations - Solving Inequalities - graphing lines - Slope and Y - intercept intuition - Slope - Equation of a line - Slope and Y-intercept Intuition - Averages - Integer sums -Taking percentages - Growing by a percentage - Another Percent Word P...]]>Pre-algebra - Khan Academy
http://freevideolectures.com/Course/2562/Pre-algebra
Sun, 10 Oct 2010 00:00:00 -0600
Adding/Subtracting negative numbers - Multiplying and dividing negative numbers - Adding and subtracting fractions - Multiplying fractions - Dividing fractions - Introduction to Order of Operations - More Complicated Order of Operations Examp - Exponents - Negative Exponent Intuitio...]]>Singapore Math - Khan Academy
http://freevideolectures.com/Course/2563/Singapore-Math
Sun, 10 Oct 2010 00:00:00 -0600Statistics - Khan Academy
http://freevideolectures.com/Course/2564/Statistics
Sun, 10 Oct 2010 00:00:00 -0600
The Average - Sample vs. Population Mean - Variance of a Population - Sample Variance - Standard Deviation - Alternate Variance Formulas - Introduction to Random Variables - Probability Density Functions - Binomial Distribution -Expected Value: E(X) - Expected Value of Binomial Dist...]]>Differential Equations II - Khan Academy
http://freevideolectures.com/Course/2555/Differential-Equations-II
Sun, 10 Oct 2010 00:00:00 -0600
Introduction to differential equations - Separable Differential Equations - Exact Equations Intuition-Integrating factors - First order homegenous equations - 2nd Order Linear Homogeneous Differential Equations - complexwd,Repeated roots of the characterisitic equations - Undetermin...]]>Arithmetic - Khan Academy
http://freevideolectures.com/Course/2556/Arithmetic
Sun, 10 Oct 2010 00:00:00 -0600
Basic Addition - Addition - Basic Subtraction - introduction to Borrowing or Regrouping - Alternate mental subtraction method - Why borrowing works-Why borrowing works - Adding Decimals -Subtracting decimals - Basic Multiplication - Multiplication 2: The Multiplication Tables - 10,1...]]>Trigonometry - Khan Academy
http://freevideolectures.com/Course/2558/Trigonometry
Sun, 10 Oct 2010 00:00:00 -0600
Basic Trigonometry - Basic Trigonometry - Radians and degrees - Using Trig Functions - The unit circle definition of trigonometric function - Unit Circle Definition of Trig Functions - Graph of the sine function - Graphs of trig functions - Graphing trig functions - More trig graphs...]]>Linear Algebra - Khan Academy - Khan Academy
http://freevideolectures.com/Course/2549/Linear-Algebra-Khan-Academy
Sat, 25 Sep 2010 00:00:00 -0600University Algebra - The University of New South Wales
http://freevideolectures.com/Course/2507/University-Algebra
Sat, 08 May 2010 00:00:00 -0600
Complex numbers & basic calculations - Complex numbers, polar form & basic operations - Complex numbers and sketching regions - How to solve polynomial equations involving complex numbers -Trig identities via complex numbers - How to solve problems from algebra...]]>College Algebra - University of Missouri Kansas City
http://freevideolectures.com/Course/2485/College-Algebra
Sun, 04 Apr 2010 00:00:00 -0600
Numbers - Language of mathematics - The powers that be-Exponents - Polynomial Expressions - More numbers and Geometry - Graphs - Functions and Their Graphs - Equations in One Variable -College Algebra - Inequalities in One Variable - Polynomial and Rational Functions - Locating the ...]]>Math 3C: Probability for Math Science - UCLA
http://freevideolectures.com/Course/105/Math-3C-Probability-for-Math-Science
Sun, 24 Jan 2010 00:00:00 -0700Linear Algebra - MIT
http://freevideolectures.com/Course/2052/Linear-Algebra
Fri, 06 Mar 2015 18:39:11 -0700Mathematical Methods for Engineers II - MIT
http://freevideolectures.com/Course/2055/Mathematical-Methods-for-Engineers-II
Fri, 06 Mar 2015 18:39:11 -0700Differential Equations - MIT
http://freevideolectures.com/Course/2056/Differential-Equations
Fri, 06 Mar 2015 18:39:11 -0700Probability and Random Processes - IIT Kharagpur
http://freevideolectures.com/Course/2324/Probability-and-Random-Processes
Fri, 06 Mar 2015 18:39:11 -0700Mathematics I - IIT Kanpur
http://freevideolectures.com/Course/2267/Mathematics-I
Fri, 06 Mar 2015 18:39:11 -0700Mathematics III - IIT Roorkee
http://freevideolectures.com/Course/2269/Mathematics-III
Fri, 06 Mar 2015 18:39:11 -0700Numerical Analysis and Computer Programming - IIT Madras
http://freevideolectures.com/Course/2270/Numerical-Analysis-and-Computer-Programming
Fri, 06 Mar 2015 18:39:11 -0700
Introduction to Pointers-Programing Basics-Pointers And Arrays-External Functions and Argument Passing
Representation of Numbers-Numerical Error-Error Propagation and Stability-Polynomial Interpolation-Error In Interpolation Polynomial-Polynomial Interpolation
Cubic Sp...]]>Computational Science and Engineering I - MIT
http://freevideolectures.com/Course/2301/Computational-Science-and-Engineering-I
Fri, 06 Mar 2015 18:39:11 -0700Mathematics II - IIT Roorkee
http://freevideolectures.com/Course/2268/Mathematics-II
Fri, 06 Mar 2015 18:39:11 -0700