Computational Science and Engineering I

This course provides a review of linear algebra, including applications to networks, structures, and estimation, Lagrange multipliers. Also covered are: differential equations of equilibrium; Laplace's equation and potential flow; boundary-value problems; minimum principles and calculus of variations; Fourier series; discrete Fourier transform; convolution; and applications.

Multivariable Calculus

This course covers vector and multi-variable calculus.Topics include vectors and matrices, partial derivatives, double and triple integrals, and vector calculus in 2 and 3-space.

Single Variable Calculus

This introductory calculus course covers differentiation and integration of functions of one variable, with applications.

Numerical Analysis and Computer Programming

Programing Basics, Pointers And Arrays, External Functions and Argument Passing, Representation of Numbers, Numerical Error, Error Propagation and Stability, Polynomial Interpolation, Data Fitting, Matrix Elimation and Solution, Eigen Values, Eigen Vectors, Solving Non linear Equations, Numerical Derivations, Gaussian Rules etc...

Mathematics I

Real numbers, Sequences, Continuous Function, Uniform Continuity, Differentiable function, Maxima - Minima, Taylors Theorem, Curve Sketching, Infinite and Power Series, Riemann, line integrals Multiple integrals, Differentiation, Derivatives, Mean Value Theorem, Greens Theorem, Stokes Theorem and Guass Divergence Theorem

Mathematics II

Matrix Algebra, Determinants, Solution of System Equation, Linear Algebra, Linear Transformation, Eigenvalues and Eigenvectors, Quadratic Forms, Diagonalization, Solution of System of Linear Equation, Functions of Complex Variables, Taylor Series, Laurent Series, Rank of a Matrix, Complex Numbers and their Geometrical Representation.

Mathematics III

Solution of ODE of First Order and First Degree, Linear Differential Equations of the First Order, Series Solution of Homogeneous Linear, Bessel Functions and Their Properties, Laplace Transformation, Applications Of Laplace Transformation, One Dimensional Wave and Heat Equation.

Statistics Videos

Descriptive Statistics, The Normal Frequency Distribution, Correlation, Regression, Standard Scores (z Scores), Chi square test etc...

Mathematics of Finance

Introduction, Simple Interest, Decision making problems, Exact and Approximate Time, Promissory notes, Bank Discount, Compound interest formulas, Interest for part of a conversion period, Effective rates, Annuities, Amortization, sinking funds, capitalized costs etc...

Maths of Finance

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