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Mathematics

Are you looking to learn the different rules of mathematics? For those who find it hard to understand, mathematics can be quite challenging. This is why we have presented some of the best online lectures on mathematics where we will discuss a wide array of different topics.

In our video lectures, we are going to talk about finite mathematics, differential equations, statistical probability, Laplace transforms, Fourier series and more. Mathematics as a subject is vast and with these online tutorials, we have tried to segregate some major topics into distinct lectures. Those who are looking to study calculus can find lectures devoted to differential equations and advanced methods of dealing with numerical analysis of such differential equations too.

Further, we also have courses for functional analysis, real analysis, geometry and advanced matrix theory as well. Statistics is considered by many as another separate branch of mathematics and you can find a lot of video lectures devoted to the same. We have video lectures for regression analysis, multivariate analysis, numerical analysis, computational techniques and more.

Every single one of our lectures has been made keeping the needs of the readers in mind. The online lectures are going to explain the core concepts and then we subsequently build upon your foundation to help you solve advanced and complex problems. With our varied online video tutorials, people can learn some of the most mind boggling mathematical concepts and gain proficiency in the same.

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Contents: Introduction : First Basic Problem Systems of Linear equations - Matrix Notation The various questions that arise with a system of linear eqautions - Second Ba
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Contents: Need to define Lebesgue Integral,Semi-algebra, Algebra, Monotone class, Sigma-algebra, Monotone class theorem. Measure spaces.Extension of measures from algebras to
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Regression analysis is one of the most powerful methods in statistics for determining the relationships between variables and using these relationships to forecast future obse
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Contents: Multivariate analysis is a fundamental concept in applied statistics. In this course - we shall first look at basic concepts of multivariate distributions and s
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Contents: Polynomial and piecewisepolynomial Interpolation : Divided Difference, Lagrange and Newton Form,Osculatory Interpolation. Numerical Integration : Some Basic Rules,
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Contents: Propositional Logic : Syntax, Unique parsing, Semantics, Equivalences, Consequences, Calculations, Informal proofs. Normal Forms and Resolution : Clauses, CNF an
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The development of fast, efficient and inexpensive computers has significantly increased the range of engineering problems that can be solved reliably. Numerical Methods use c
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Contents: Errors in Computation and Numerical Instability - Solution of Non linear Algebraic Equations - Solution of a System of Linear Algebraic Equations - Interpolation an
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Introduction:Vertex cover and independent set - Matchings: Konig's theorem and Hall's theorem - More on Hall's theorem and some applications - Tutte's theorem on existence of
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The objective of this course is to introduce those real life problems which can be formulated as Linear Programming Problems ( LPP ). The course will be taught as a first cour
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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 axi
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UC Berkeley Fall 2011
Relative frequencies, discrete probability, random variables, expectation. Testing hypotheses. Estimation. Illustrations from various fields
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Contents: Binomial Model; No Arbitrage; Numeraires; Replication - Multi-period binomial model; CRR trees; continuous time limit; default model-Measure change and sample paths
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Contents: Find the domain of a rational expression - Multipling Polynomials - intro to polynomials - add and subtract polynomials - Simplifying algebraic expressions - Like t
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Contents: Special triangles-Unit Circle-trig to a point - Right triangle trig find 5 functions - Proving trig identities - Proving identities - prove trig identities level -
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Contents: Fractions - simplifying using division - reduce fractions using prime factors - Prime Factorization - Order of opperations with integers - Division of integer - The
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Contents: 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
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Basic Math (Arithmetic) Use fractions, decimals, percents, integer arithmetic, measurements, and geometric properties to write, manipulate, interpret and solve application and
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Introductory Algebra - Second Term Introduces algebraic concepts and processes with a focus on function, linear systems, polynomials, and quadratic equations. Applications, gr
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