Limits & continuity, Basic differentiation & integration, Mean value theorems, Theorems of integral calculus, Evaluation of definite and improper integrals, Partial Derivatives, Maxima and minima, Multiple integrals, Vector identities, Directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss and GreenвЂ™s theorems.ДЇirst order equation (linear and nonlinear), Higher order linear differential equations with constant coefficients, Method of variation of parameters, CauchyвЂ™s and EulerвЂ™s equations, Initial and boundary value problems, Partial Differential Equations and variable separable method.ДЄnalytic functions, CauchyвЂ™s integral theorem and integral formula, TaylorвЂ™s and Laurent series, Residue theoremДefinition & property of Laplace transform + Fourier SeriesДensity, specific gravity, viscosity, surface tension, capillarity, bulk modulus, vapour pressure Solutions of non-linear algebraic equations, Newton Raphson method, Regulafalsi method or (method of false position), secant method, Gauss Elimination Method, Gauss Jordon method, Jacobi iteration method, Gauss Siedel iteration method, Numerical Integration: Trapezoidal rule, SimpsonвЂ™s 1/3 & 3/8 rule, single and multi-step methods for differential equations, EulerвЂ™s method, RungeKutta Method Correlation and regression analysis, covariance, correlation coefficient, Mean, median, mode and standard deviation, Sampling theorems, Conditional probability, BayeвЂ™s theorem, Random variables, Expectation & Variance, Discrete and continuous distributions, uniform, normal, exponential, Poisson, Binomial. Matrix Algebra, Type of matrices, Determinant, CramerвЂ™s rule, Systems of linear equations, Rank of the equation, consistency of the equation, Eigen values and Eigen vectors. This is to ensure that if you come across any vital formula or Information or short trick while referring tests or reference book later then you may place That information in these spaces. Leave one page Space after 2/3 pages or after every major chapter.DonвЂ™t Xerox someoneвЂ™s notes because the moment you write yourself then you can memorize the concept for a longer duration.If you have this handbook of formula ready and have revised the things at least 2 times, I can guarantee you the 40 % marks. Problem with students is that they tend to mix up formula. In exams 40% questions are direct formula based or implied formula based. Make a separate handbook for formulas.Use 3 colour pen to indicate important, very important and very very important concepts. Make notes neatly as they will be very very useful while revision in the last 30 days.You may also go to Youtube:- Khan academy, Nptel or the latest and most popular are Gateflix videos. If you havenвЂ™t done so, go to online videos to do so. If you attend lectures of any faculty through GATEFLIX then you can easily make notes.Electronics & Communication Engineering.

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