Hello Engineering students, I am sharing the Mathematics 3 PDF hand written class lecture notes, book as per the engineering first year course syllabus. These Mathematics 3 quick revision notes will help you prepare on the exam day and score good marks.
List of topics covered in Mathematics 3 quick revision PDF Hand written class notes, book for Engineering First Year:
List of topics covered in Mathematics 3 quick revision PDF Hand written class notes, book for Engineering First Year:
- UNIT–I: Function of Complex variable: Analytic function, C-R equations, Harmonic Functions, Cauchy’s integral theorem, Cauchy’s integral formula, Derivatives of analytic functions, Taylor’s and Laurent’s series, Singularities, Zeroes and Poles, Residue theorem, Evaluation of real integrals
- UNIT–II: Statistical Techniques: Moments, Moment generating functions, Skewness, Kurtosis, Curve fitting, Method of least squares, Fitting of straight lines, Polynomials, Exponential curves, Correlation, Linear, non–linear and multiple regression analysis, Binomial, Poisson and Normal distributions, Tests of significations: Chi-square test, t-test.
- UNIT–III: Numerical Techniques–I: Zeroes of transcendental and polynomial equations using Bisection method, Regula-falsi method and Newton-Raphson method, Rate of convergence of above methods. Interpolation: Finite differences, Newton’s forward and backward interpolation, Lagrange’s and Newton’s divided difference formula for unequal intervals.
- UNIT–IV: Numerical Techniques–II: Solution of system of linear equations, Matrix Decomposition methods, Jacobi method, Gauss- Seidel method. Numerical differentiation, Numerical integration, Trapezoidal rule, Simpson’s one third and three-eight rules, Solution of ordinary differential equations (first order, second order and simultaneous) by Euler’s, Picard’s and fourth-order Runge- Kutta methods.