BAS103 Engineering Mathematics-I Syllabus
AKTU B.Tech 1st Semester · Unit-wise syllabus (2022-23 onwards)
BAS103 / KAS103 Engineering Mathematics-I AKTU B.Tech 1st Semester ka subject hai hai. Iske syllabus mein 5 units hain: Matrices, Differential Calculus- I, Differential Calculus-II, Multiple integration, Vector Calculus. Neeche har unit ke complete topics diye gaye hain, jo Dr. A.P.J. Abdul Kalam Technical University ke official syllabus se liye gaye hain.
BAS103 Subject Details
| Subject Code | BAS103 / KAS103 |
|---|---|
| Subject Name | Engineering Mathematics-I |
| Course | AKTU B.Tech |
| Year / Semester | 1st Year · 1st Semester |
| Total Units | 5 |
| Effective From | 2022-23 |
BAS103 Engineering Mathematics-I Unit-Wise Syllabus
AKTU official syllabus (2022-23 onwards) — 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.
BAS103 Syllabus — FAQs
BAS103 Engineering Mathematics-I syllabus mein kitne units hain?
AKTU BAS103 Engineering Mathematics-I syllabus mein 5 units hain — Unit 1 (Matrices), Unit 2 (Differential Calculus- I), Unit 3 (Differential Calculus-II), Unit 4 (Multiple integration), Unit 5 (Vector Calculus). Poora unit-wise breakdown is page pe upar diya gaya hai.
Is BAS103 the same as KAS103?
Haan. AKTU ne 2022-23 se subject codes ka prefix badla tha, isliye ek hi subject BAS103 aur KAS103 dono codes se jaana jaata hai. Syllabus content wahi hai.
BAS103 ke kitne credits hain?
Credits official AKTU evaluation scheme PDF mein diye gaye hain — link is page pe upar hai.
BAS103 ke previous year question papers kahan milenge?
BAS103 Engineering Mathematics-I ke saare AKTU previous year question papers Ryzenstudy pe free download ke liye available hain — bina login ke.
Kya ye official AKTU syllabus hai?
Haan. Is page ka poora content Dr. A.P.J. Abdul Kalam Technical University ke official syllabus PDF (2022-23 se effective) se liya gaya hai. Original PDF ka direct link is page pe sabse upar highlighted hai.
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). Ryzenstudy AKTU se affiliated nahi hai. Last verified: 2026-08-14.