BAS203 Engineering Mathematics-II Syllabus
AKTU B.Tech · 2nd Semester · Unit-wise syllabus (effective 2022-23)
BAS203 Engineering Mathematics-II (also written as KAS203) is a subject in Semester 2 of the AKTU B.Tech programme, prescribed by Dr. A.P.J. Abdul Kalam Technical University. It carries 4 credits with an L-T-P of 3-1-0. The syllabus is divided into 5 units: Ordinary Differential Equation of Higher Order, Laplace Transform, Sequence and Series, Complex Variable–Differentiation, Complex Variable –Integration. The complete unit-wise topic list, course outcomes and reference books are given below, taken from the official AKTU syllabus effective from 2022-23.
BAS203 Subject Details
| Subject Code | BAS203 / KAS203 |
|---|---|
| Subject Name | Engineering Mathematics-II |
| University | Dr. A.P.J. Abdul Kalam Technical University (AKTU) |
| Course | B.Tech (Bachelor of Technology) |
| Year / Semester | 1st Year · 2nd Semester |
| Credits | 4 |
| L-T-P | 3-1-0 |
| Total Units | 5 |
| Scheme Effective From | 2022-23 |
| Last Verified | 2026-08-14 |
BAS203 Engineering Mathematics-II Unit-Wise Syllabus
Official AKTU syllabus (effective 2022-23) — 5 units.
Unit 1: Ordinary Differential Equation of Higher Order
Unit -1: Ordinary Differential Equation of Higher Order Linear differential equation of nth order with constant coefficients, Simultaneous linear differential equations, Second order linear differential equations with variable coefficients, Solution by changing independent variable, Method of variation of parameters, Cauchy-Euler equation, Application of differential equations in solving engineering problems.
Unit 2: Laplace Transform
Unit-2: Laplace Transform Laplace transform, Existence theorem, Properties of Laplace Transform, Laplace transform of derivates and integrals, Unit step function, Laplace transform of periodic function, Inverse Laplace transform, Convolution theorem. Application of Laplace Transform to solve ordinary differential equations and simultaneous differential equations.
Unit 3: Sequence and Series
Unit-3: Sequence and Series Definition of Sequence and series with examples, Convergence of series, Tests for convergence of series, Ratio test, D’ Alembert’s test, Raabe’s test, Comparison test. Fourier series, Half range Fouriersine and cosine series.
Unit 4: Complex Variable–Differentiation
Unit-4: Complex Variable–Differentiation Functions of complex variable, Limit, Continuity and differentiability, Analytic functions, Cauchy- Riemann equations (Cartesian and Polar form), Harmonic function, Method to find Analytic functions, Milne’s Thompson Method, Conformal mapping, Mobius transformation and their properties.
Unit 5: Complex Variable –Integration
Unit-5: Complex Variable –Integration Complex integration, Cauchy- Integral theorem, Cauchy integral formula, Taylor’s and Laurent’s series, singularities and itsclassification, zeros of analytic functions, Residues, Cauchy’s Residue theorem and its application.
BAS203 Course Outcomes
- Course Objectives:
- The objective of this course is to familiarize the prospective engineers with techniques in ordinary
- differential equations, Laplace transform, sequence and series,Fourier series and complex
- variables. It aims to equip the students to deal with advanced level of mathematics and applications
- that would be essential for their disciplines.
- The students will learn:
- • The effective mathematical tools for the solutions of differential equations that model
- physical processes.
- • The basic knowledge of Laplace transform and its applications in solving differential
- equations.
- • The tool for convergence of series and expansion of function using Fourier series for
- learning advanced Engineering Mathematics.
- • The tools of differentiation of functions of complex variables that are used in various
- techniques dealing with engineering problems.
- • The tools of integration of functions of complex variables that are used in various
- techniques dealing with engineering problems.
- Content Contact
BAS203 Reference Books
- B. V. Ramana, Higher Engineering Mathematics, Tata McGraw-Hill Publishing Company
- B. S. Grewal, Higher Engineering Mathematics, Khanna Publisher, 2005.
- R. K. Jain & S. R. K. Iyenger, Advance Engineering Mathematics , Narosa Publishing -
Frequently Asked Questions about BAS203
What is the syllabus of BAS203 Engineering Mathematics-II?
The AKTU BAS203 Engineering Mathematics-II syllabus is divided into 5 units: Ordinary Differential Equation of Higher Order; Laplace Transform; Sequence and Series; Complex Variable–Differentiation; Complex Variable –Integration. The complete topic list for each unit is published on this page, taken from the official Dr. A.P.J. Abdul Kalam Technical University syllabus effective from 2022-23.
How many units are there in BAS203?
BAS203 Engineering Mathematics-II has 5 units in the AKTU syllabus, with an L-T-P (Lecture-Tutorial-Practical) structure of 3-1-0 and 4 credits.
Is BAS203 the same subject as KAS203?
Yes. AKTU renumbered its B.Tech subject codes from the 2022-23 session onwards, so the same subject appears as BAS203 and KAS203 depending on the scheme year. The syllabus content is the same.
Which semester is BAS203 taught in?
BAS203 Engineering Mathematics-II is taught in Semester 2 of the 1st year of the AKTU B.Tech programme.
How many credits is BAS203 worth?
BAS203 Engineering Mathematics-II carries 4 credits in the AKTU evaluation scheme, with an L-T-P of 3-1-0.
Where can I download BAS203 previous year question papers?
All AKTU BAS203 Engineering Mathematics-II previous year question papers are available to download free on Ryzenstudy, with no login or registration required.
Is this the official AKTU syllabus for BAS203?
Yes. Every topic on this page is taken from the official Dr. A.P.J. Abdul Kalam Technical University syllabus document (AKTU B.Tech 1st Year Syllabus (Common to all branches except AG & BT)), effective from 2022-23. A direct link to the original AKTU PDF is provided at the top of this page. Last verified on 2026-08-14.
Related AKTU Syllabus
Source: Dr. A.P.J. Abdul Kalam Technical University official syllabus — AKTU B.Tech 1st Year Syllabus (Common to all branches except AG & BT), effective from 2022-23. Ryzenstudy is not affiliated with AKTU. Content last verified on 2026-08-14.