B.Sc. (Information Technology) Applied Mathematics Syllabus - Mumbai University
This is the SY BSc IT syllabus under NEP 2020, in force from the academic year 2025-26. The University still sets the earlier Choice Based papers alongside it for ATKT candidates, so check which scheme your exam form names before you revise.
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Syllabus for Applied Mathematics
Module I: 1 Complex Numbers: Complex number, Equality of complex numbers, Graphical representation of complex number (Argand's Diagram), Polar form
- of complex numbers. Polar form of x+iy for different signs of x.y, Exponential form of complex numbers, Mathematical operation with complex numbers and their representation on Argand's Diagram, Circular functions of complex angles, Definition of hyperbolic function. Relations between circular and hyperbolic functions, Inverse hyperbolic functions. 1.2 The Laplace Transform: Introduction. Definition of the Laplace Transform, Table of Elementary Laplace Transforms. Theorems on Important Properties of Laplace Transformation, First Shifting Theorem, Second Shifting Theorem, Convolution Theorem, Laplace Transform of Derivatives. 1.3 Inverse Laplace Transform: Shifting Theorem, Partial fractions Methods, Use of Convolution Theorem, Solution of Ordinary Linear Differential Equations with Constant Coefficients, Laplace Transformation of Special Function, Periodic Functions, Heaviside Unit Step Function, Dirac-delta Function (Unit Impulse Function).
Module II: 1 Equation of the first order and of the first degree: Separation of variables, 15 Hrs
- Equations homogeneous in x and y, Non-homogeneous linear equations, Exact differential Equation, Integrating Factor, Linear Equation and equation reducible to this form, Method of substitution. 2.2 Differential equation of the first order of a degree higher than the first:
- Introduction, Solvable for p (or the method of factors), Solve for y, Solve for x, Clairaut’s form of the equation, Method of Substitution. 2.3 Linear Differential Equations with Constant Coefficients: Introduction, The Differential Operator, Linear Differential Equation f(D) y = 0, Different cases depending on the nature of the root of the equation f(D) = 0, Linear differential equation f(D) y = X, The complimentary Function, The inverse operator 1/f(D) and the symbolic expression for the particular integral,
Books and References
- 1 A text book of Applied Mathematies Vol I, P. N. Wartikar and J. N.Wartikar, Pune Vidyathi Griha,7* ,1995
- 2 A text book of Applied Mathematies Vol II , P. N. Wartikar and J. N. Wartikar, Pune Vidyathi Griha,7" .1995
- 3 Higher Engineering Mathematies, Dr. B. S.Grewal, Khanna Publications.
Reproduced from the University of Mumbai syllabus for B.Sc. (Information Technology) under NEP 2020, in force from the academic year 2025-26. Wording is as printed in that syllabus. Module numbering is as printed there too.
The complete syllabus
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