Mathematics syllabus - BCA S1

Kerala university mathematics syllabus for first semester (S1) 

BCA 2016-2019 batch. 

MM1131.9 MATHEMATICS – I

Module 1:

Review of differentiation. Differentiation of hyperbolic functions, derivatives of hyperbolic functions, inverse hyperbolic functions, logarithmic differentiation, implicit differentiation, Lebnitz’s theorem, Mean value theorem, Rolle’s theorem, Lagrange’s MVT, Maxima and minima.

Module II:

Differential equation, general concepts, formulation and solutions of differential equations, solutions of higher order linear Des. Partial Des, Laplace and Inverse Laplace transforms.

Module III:

Theory of numbers, prime numbers, unique factorization theorem, Euclidean algorithm, Congruences, Fermat’s theorem, Wilson’s theorem

Module IV:

Complex numbers, separation into real and imaginary parts, complex mapping

Module V: Miscellaneous

Markov process, harmonis analysis and fourier series, linear programming.

References:

• Ervin Kreyzig – Advanced Engineering mathematics
• Shanti Narayan – Differential Calculus
• Zafar Ahsan – Differential equation and their application
• Rudra Pratap- Getting started with MATLAB

Internet resources

•  arms.org/mathweb
•  falstad.com/mathphysics
•  cs.jsu.edu/mcis/faculty/leathrum/Mathlets
•  archives.math.utk.edu/visual.calculus/