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mumbai university 1st year engineering syllabus |
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Re: mumbai university 1st year engineering syllabus
As you want here I am providing Mumbai University 1st Year Engineering course Syllabus on your demand : Module Detailed Contents Hrs. 01 Complex Numbers Pre‐requisite: Review of Complex Numbers‐Algebra of Complex Number, Different representations of a Complex number and other definitions, D’Moivre’s Theorem. 1.1. Powers and Roots of Exponential and Trigonometric Functions. 1.2. Expansion of sinn θ, cosn θ in terms of sines and cosines of multiples of θ and Expansion of sinnθ, cosnθ in powers of sinθ, cosθ 1.3. Circular functions of complex number and Hyperbolic functions. Inverse Circular and Inverse Hyperbolic functions. Separation of real and imaginary parts of all types of Functions. 3 2 4 02 Logarithm of Complex Numbers , Successive Differentiation 2.1 Logarithmic functions, Separation of real and Imaginary parts of Logarithmic Functions. 2.2 Successive differentiation: nth derivative of standard functions. Leibnitz’s Theorem (without proof) and problems 4 4 03 Matrices Pre‐requisite: Inverse of a matrix, addition, multiplication and transpose of a matrix 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, PAQ in normal form, system of homogeneous and non – homogeneous equations, their consistency and solutions. Linear dependent and independent vectors. Application of inverse of a matrix to coding theory. 9 04 Partial Differentiation 4.1 Partial Differentiation: Partial derivatives of first and higher order. Total differentials, differentiation of composite and implicit functions Mumbai University 1st Year Engineering Syllabus |
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