BAS103 Engineering Mathematics-I Syllabus
AKTU B.Tech · 1st Semester · Unit-wise syllabus (effective 2022-23)
BAS103 Engineering Mathematics-I (also written as KAS103) is a subject in Semester 1 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: Matrices, Differential Calculus- I, Differential Calculus-II, Multiple integration, Vector Calculus. The complete unit-wise topic list, course outcomes and reference books are given below, taken from the official AKTU syllabus effective from 2022-23.
BAS103 Subject Details
| Subject Code | BAS103 / KAS103 |
|---|---|
| Subject Name | Engineering Mathematics-I |
| University | Dr. A.P.J. Abdul Kalam Technical University (AKTU) |
| Course | B.Tech (Bachelor of Technology) |
| Year / Semester | 1st Year · 1st Semester |
| Credits | 4 |
| L-T-P | 3-1-0 |
| Total Units | 5 |
| Scheme Effective From | 2022-23 |
| Last Verified | 2026-08-19 |
BAS103 Engineering Mathematics-I Unit-Wise Syllabus
Official AKTU syllabus (effective 2022-23) — 5 units.
Unit 1: Matrices
Unit-1: Matrices Elementary transformations, Inverse of a matrix, Rank of matrix, Solution of system of linear equations, Characteristic equation, Cayley-Hamilton Theorem and its application, Linear Dependence and Independence of vectors, Eigen values and Eigen vectors, Complex Matrices, Hermitian, Skew-Hermitian andUnitary Matrices, Applications to Engineering problems.
Unit 2: Differential Calculus- I
Unit-2: Differential Calculus- I Successive Differentiation (nth order derivatives), Leibnitz theorem, Curve tracing, Partial derivatives, Euler’s Theorem for homogeneous functions, Total derivative, Change of variables.
Unit 3: Differential Calculus-II
Unit-3: Differential Calculus-II Expansion of functions by Taylor’s and Maclaurin’s theorems for functions of one and two variables, Maxima and Minima of functions of several variables, Lagrange’s method of multipliers, Jacobians, Approximation of errors.
Unit 4: Multiple integration
Unit-4: Multiple integration Double integral, Triple integral, Change oforder of integration, Change of variables, Beta and Gama function and their properties, Dirichlet’s integral and its applications to area and volume, Liouville’s extensions of Dirichlet’s integral.
Unit 5: Vector Calculus
Unit-5: Vector Calculus Vector differentiation: Gradient, Curl and Divergence and their Physical interpretation, Directional derivatives. Vector Integration: Line integral, Surface integral, Volume integral, Gauss’s Divergence theorem, Green’s theorem and Stoke’s theorem (without proof) and their applications.
BAS103 Course Outcomes
- Course Objectives:
- The objective of this course is to familiarize the graduate engineers with techniques in matrix, calculus,
- multivariate analysis and vector calculus. It aims to equip the students with standard concepts and tools from
- intermediate to advanced level that will enable them to tacklemore advanced level of mathematics and
- applications that they would find useful in their disciplines.
- The students will learn:
- • The essential tools of matrices, Eigen values and its application in a Comprehensive-manner.
- • To apply the knowledge of differential calculus in the field of engineering.
- • To deal with functions of several variables that is essential in optimizing the results ofreal life
- problems.
- • To apply integral calculus in various field of engineering and have a basicunderstanding of Beta and
- Gamma functions and application of Dirichlet’s integral.
- • To deal with vector calculus that is required in different branches of Engineering tograduate
- engineer.
- Content Contact
BAS103 Reference Books
- B. V. Ramana, Higher Engineering Mathematics, McGraw-Hill Publishing Company Ltd.,2008.
- B. S. Grewal, Higher Engineering Mathematics, Khanna Publisher, 2005.
- R K. Jain & S R K. Iyenger, Advance Engineering Mathematics, Narosa Publishing House2002.
Frequently Asked Questions about BAS103
What is the syllabus of BAS103 Engineering Mathematics-I?
The AKTU BAS103 Engineering Mathematics-I syllabus is divided into 5 units: Matrices; Differential Calculus- I; Differential Calculus-II; Multiple integration; Vector Calculus. 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 BAS103?
BAS103 Engineering Mathematics-I has 5 units in the AKTU syllabus, with an L-T-P (Lecture-Tutorial-Practical) structure of 3-1-0 and 4 credits.
Is BAS103 the same subject as KAS103?
Yes. AKTU renumbered its B.Tech subject codes from the 2022-23 session onwards, so the same subject appears as BAS103 and KAS103 depending on the scheme year. The syllabus content is the same.
Which semester is BAS103 taught in?
BAS103 Engineering Mathematics-I is taught in Semester 1 of the 1st year of the AKTU B.Tech programme.
How many credits is BAS103 worth?
BAS103 Engineering Mathematics-I carries 4 credits in the AKTU evaluation scheme, with an L-T-P of 3-1-0.
Where can I download BAS103 previous year question papers?
All AKTU BAS103 Engineering Mathematics-I previous year question papers are available to download free on Ryzenstudy, with no login or registration required.
Is this the official AKTU syllabus for BAS103?
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 2026-08-19.
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 2026-08-19.