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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.

Showing 20 of 93 courses
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Motivation and real life examples:An introduction about differential equations and why this course - Present various examples like population growth, spring-mass-dashpot syste
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Introduction to the Course Contents - Linear Equations - Equivalent Systems of Linear Equations I: Inverses of Elementary Row-operations - Equivalent Systems of Linear Equatio
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Introduction - Alphabet, Strings, Languages, Finite Representation of languages, Regular Expressions - Context-free Grammars (CFGs) -Formal definition, sentential forms, leftm
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Basic facts about maxima and minima - Examples and modeling - Mathematical Prerequisites - Optimality conditions for Unconstrained Optimization - The Steepest Descent Method -
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Contents: Integrals of trig functions and reduction formulae - Integration by trig substitution and partial fractions - Integration + Partial Fractions - Integration via subs
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Contents: How to solve separable differential equations - Separable differential equations - How to solve initial value problems-Linear - first-order differential equations -
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Contents: 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
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Contents: Dedekind Theory of Irrational numbers : Rational numbers, section of Rational numbers, Irrational numbers, real Numbers, Dedekind Theorem, The Continuum Exercise- T
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Contents: Introduction : Introduction and overview of the course, lecture-wise description - The Algebra Geometry and Topology of the Complex Plane : Complex numbers, conjuga
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Contents: Linear Algebra : Review: Groups, Fields, & Matrices - Vector Spaces, Subspaces, Linearly dependent / independent of vectors - Basis, Dimension, Rank and Matrix Inve
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REVIEW OF SET THEORY : Operations on sets, family of sets, indexing set, functions, axiom of choice, relations, equivalence relation, partial order, total order, maximal eleme
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Contents: Congruence and Naming Properties of Segments,Naming and Classifying Angles,Congruence & Addition Properties of Angles,Special Angle Pairs,Classifying Triangles by S
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Other Spring 2010
Contents: Constructing the rational numbers,Properties of Q,Construction of R,The Least Upper Bound Property,Complex Numbers,The Principle of Induction,Countable and Uncount
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Contents: Metric Spaces : Metric spaces with examples,Holder inequality & Minkowski inequality,Various concepts in a metric space,Separable metric space with examples,Converg
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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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Contents: Introduction: the need for statistical analysis, Straight line relationship between two variables. SIMPLE LINEAR REGRESSION: fitting a straight line by least squ
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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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