# GATE LECTURES FOR MATHEMATICS

- Here we collected all the
for mathematics as topic wise.**gate lectures**

**Engineering Mathematics**

**Linear Algebra:**Matrix Algebra, Systems of linear equations, Eigenvalues, Eigenvectors.**Calculus:**Mean value theorems, Theorems of integral calculus, Evaluation of definite and improper integrals, Partial Derivatives, Maxima and minima, Multiple integrals, Fourier series, Vector identities, Directional derivatives, Line integral, Surface integral, Volume integral, Stokes’s theorem, Gauss’s theorem, Green’s theorem.**Differential equations:**First order equations (linear and nonlinear), Higher order linear differential equations with constant coefficients, Method of variation of parameters, Cauchy’s equation, Euler’s equation, Initial and boundary value problems, Partial Differential Equations, Method of separation of variables.**Complex variables:**Analytic functions, Cauchy’s integral theorem, Cauchy’s integral formula, Taylor series, Laurent series, Residue theorem, Solution integrals.**Probability and Statistics**: Sampling theorems, Conditional probability, Mean, Median, Mode, Standard Deviation, Random variables, Discrete and Continuous distributions, Poisson distribution, Normal distribution, Binomial distribution, Correlation analysis, Regression analysis. Numerical Methods: Solutions of nonlinear algebraic equations, Single and Multi‐step methods for differential equations. Transform Theory: Fourier Transform, Laplace Transform, z‐Transform.

[embed]https://www.youtube.com/playlist?list=PLRdEzUL8wOVI_nVCf37j1Tq8InvNoOLZW[/embed]

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**Andhra university 1st year Syllabus Books in PDF**for after 2015-16 batches Civil,chemical,IT,CSE, ECE, EEE, Mechanical, and all other branches. - Check
**Andhra university 2nd & 3rd year curriculam Books in PDF**for after 2015-16 batches Civil,chemical,IT,CSE, ECE, EEE, Mechanical, and all other branches.

**B tech mechanical engineering syllabus**for old batches(2006-07)-Click here**andhra university syllabus**for other branches can here -Civil,chemical,IT,CSE, ECE, EEE, Mechanical