Applied Mathematics 1

This course covers the complete syllabus for Mathematics 1 for F.E.

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Created by Team Junkminds Last updated Mon, 01-Feb-2021 English

Curriculum for this course
0 Lessons 00:00:00 Hours
Topics covered
  • Complex Numbers Pre-requisite: Review of Complex Numbers‐Algebra of Complex Number, Cartesian, polar and exponential form of complex number. 1.1. Statement of D‘Moivre‘s Theorem. 1.2. Expansion of sinn θ, cosnθ in terms of sines and cosines of multiples of θ and Expansion of sinnθ, cosnθ in powers of sinθ, cosθ 1.3. Powers and Roots of complex number.
  • Hyperbolic function and Logarithm of Complex Numbers 2.1. Circular functions of complex number and Hyperbolic functions. Inverse Circularand Inverse Hyperbolic functions. Separation of real and imaginary parts of all typesof Functions. 2.2 Logarithmic functions, Separation of real and Imaginary parts of Logarithmic Functions.
  • Partial Differentiation 3.1 Partial Differentiation: Function of several variables, Partial derivatives of first andhigher order. Differentiation of composite function. 3.2.Euler‘s Theorem on Homogeneous functions with two independent variables (with proof). Deductions from Euler‘s Theorem.
  • Applications of Partial Differentiation and Successive differentiation. 4.1 Maxima and Minima of a function of two independent variables, Lagrange‘s method of undetermined multipliers with one constraint. 4.2 Successive differentiation: nth derivative of standard functions. Leibnitz‘s Theorem (without proof) and problems
  • Matrices Pre-requisite: Inverse of a matrix, addition, multiplication and transpose of a matrix 5.1.Types of Matrices (symmetric, skew‐ symmetric, Hermitian, Skew Hermitian, Unitary, Orthogonal Matrices and properties of Matrices). Rank of a Matrix using Echelon forms, reduction to normal form and PAQ form. 5.2.System of homogeneous and non –homogeneous equations, their consistency and solutions.
  • Numerical Solutions of Transcendental Equations and System of Linear Equations and Expansion of Function. 6.1 Solution of Transcendental Equations: Solution by Newton Raphson method andRegula –Falsi. 6.2 Solution of system of linear algebraic equations, by (1) Gauss Jacobi Iteration Method, (2) Gauss Seidal Iteration Method. 6.3 Taylor‘s Theorem (Statement only) and Taylor‘s series, Maclaurin‘s series (Statement only).Expansion of sin(x), cos(x), tan(x), sinh(x), cosh(x), tanh(x), log(1+x), ( ), ( ), ( ).
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Learn Applied Mathematics 1 from one of the leading faculties in Mumbai. Lectures would be every sunday 12:15 pm to 4 pm, starting from 24th January 2021.

The course fee is 8000 for Online, but students can get started by paying just 3000/-. Balance fees to be paid on 20th Feb 2021.

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