Engineering Mathematics - 1
Online Maths Tuitions
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SYLLABUS
Learning Objectives & Outcomes:
Student will
- learn about the matrices , Rank and normal forms , Solving the system of linear equations , eigen values and eigen vectors , their properties ,caylay hamilton theorem .Diagonalization of the matrix , reduction of QF to CF and characteristics .
- Study about the mean value theorems :Rolle's , Lagrange's , cauchy's mean value theorems and generalized mean value theorems and their verifications . Fuctions of several variables : Brief introduction to partial derivatives , Jacobian , functional dependendence ,finding Maxima And Minima and also using Lagrangian method of undetermined coefficients .
- Study about Beta-Gamma functions , relation between them and their properties , evaluation of improper integrals . Multiple Integrals : Evaluation of double and triple integrals and their applications .
- learn how to solve the differential equations , solving first order and first degree ODE and their formation ,applications .Solving higher order DE i.e. finding CF and PI of various input functions .
- Syudy about the Laplace Transforms and Inverse Laplace Transforms its properties . Application of LT to solve differential equations (IVP).
SYLLABUS Contents :
- Matrices
- Differential Calculus
- Improper Integrals and Beta-Gamma functions
- Differential Equations
- Laplace transforms
( Contents may be different , depending on respective University ,but finally all engineering mathematics subjects for engineering students same ) .
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