Portion and Syllabus of Applied Mathematics -2 of Semester 2 of F.Y.B.Sc.(I.T.) is as follows:
- Complex Nimbers
- Cartesian
- Polar & Exponential form
- De Moivre's Theorem
- Hyperbolic Functions
- Logarithms of Complex Numbers
- Complex Variables
- Cauchy Riemann Equations
- Conformal Mapping and Bilinear Mapping
- Concept of Line Integral
- Reimann Integral
- Singularities - Poles, Evaluation of Residues Theorem
- Laplace Transform
- Introduction
- Definition
- Properties of Laplace Transform
- Laplace Transform of standard Function
- Inverse Laplace Transform
- Inverse Laplace Transform
- Methods of obtaining Inverse Laplace Transform
- Laplace Transform of Periodic Functions
- Heavyside Unit-step Function
- Dirac-delta Function (Unit Impulse Function)
- Application of Inverse Laplace transform to solve differential equations.
- Differentiation under Integral sign
- Beta and Gamma functions
- Properties and Duplication Formula
- Error Functions
- Fourier Series
- Fourier Series
- Change of Interval
- Even and Odd function
- Half range expansions
- Fourier Transform and Inverse Fourier Transform
- Fourier Transform of Even and Odd functions
- Fourier Transform of Sine and Cosine functions
- Integral Calculus
- Double Integral
- Area
- Triple Integral
- Volume
References :
- Differential Calculus by Shanti Narayan.
- B. S. Grewal, "Higher Engineering Mathematics".
- Advanced Engineering Mathematics: R.K. Jain, S.R.K. Iyengar, Narosa Publishing House.
- Engineering Mathematics: T Veerajan, Tata McGraw-Hill
- Integral Transforms: A.R. Vasishta, Dr. R.K. Gupta, Krishna Prakashan Mandir.