BBT201 Elementary Mathematics-II Syllabus
AKTU B.Tech · 2nd Semester · Unit-wise syllabus (effective 2022-23)
BBT201 Elementary Mathematics-II (also written as KBT201) 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: Integrals, Differential Equations, Vector Algebra, Three-Dimensional Geometry, Probability. The complete unit-wise topic list, course outcomes and reference books are given below, taken from the official AKTU syllabus effective from 2022-23.
BBT201 Subject Details
| Subject Code | BBT201 / KBT201 |
|---|---|
| Subject Name | Elementary 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 |
BBT201 Elementary Mathematics-II Unit-Wise Syllabus
Official AKTU syllabus (effective 2022-23) — 5 units.
Unit 1: Integrals
Unit-1: Integrals Integration of functions by substitution, partial fractions and by parts, only simple integrals of the type to be evaluated. Definite integrals as a limit of a sum, Fundamental Theorem of Calculus (without proof). Basic properties of definite integrals and evaluation of definite integrals. Applications of the Integrals: Applications in finding the area between simple curves, especially lines, areas of circles/parabolas/ellipses (in standard form only).
Unit 2: Differential Equations
Unit-2: Differential Equations Definition, order and degree, general and particular solutions of a differential equation Formation of differential equations whose general solution is given. Solution of differential equations by method of separation of variables, homogeneous differential equations of first order and first degree. Solutions of linear differential equation of the type: Dy + py = q , where p and q are functions of x.
Unit 3: Vector Algebra
Unit-3: Vector Algebra Vectors and scalars, magnitude and direction of a vector. Direction cosines/ratios of vectors. Types of vectors (equal, unit, zero, parallel and collinear vectors), position vector of a point, negative of a vector, components of a vector, addition of vectors, multiplication of a vector by a scalar, position vector of a point dividing a line segment in a given ratio. Scalar (dot) product of vectors, projection of a vector on a line. Vector (cross) product of vectors.
Unit 4: Three-Dimensional Geometry
Unit-4: Three-Dimensional Geometry Three – dimensional Geometry: Direction cosines / ratios of a line joining two points. Cartesian equation of a line, coplanar lines, shortest distance between two lines. Cartesian equation of a plane, Angle between (a) two lines (b) two planes and (c) a line and a plane. Distance of a point from a plane.
Unit 5: Probability
Unit-5: Probability Exhaustive events , Random experiments , trial and events, Equally likely events, independent events, mutually exclusive events, compound events, favorable events, definition of probability, Axioms of probability, Addition theorem of probability with examples, Multiplication theorem of probability with illustrated examples. Conditional probability. Bayes theorem with examples.
BBT201 Course Outcomes
- Course Objectives:
- The objective of this course is to familiarize the Bio-Technological engineers with techniques in
- multivariate integrals, linear Differential Equations, vector calculus, three – dimensional geometry
- and probability. It aims to equip the students to deal with advanced levels of mathematics and
- applications that would be essential for their disciplines.
- The students will learn:
- ● The basic concepts of Integration to deal with real world problems.
- ● The tool of linear differential equations that are used in engineering problems.
- ● To deal with vector calculus that is required in Biotechnology engineers.
- ● To apply the concepts of three dimensional geometry in engineering.
- ● The concepts of probability in a comprehensive manner.
- Content Contact
BBT201 Reference Books
- Mathematics - Textbook for Class XI, NCERT Publication
- Mathematics Part I - Textbook for Class XII, NCERT Publication
- Mathematics Part II - Textbook for Class XII, NCERT Publication
Frequently Asked Questions about BBT201
What is the syllabus of BBT201 Elementary Mathematics-II?
The AKTU BBT201 Elementary Mathematics-II syllabus is divided into 5 units: Integrals; Differential Equations; Vector Algebra; Three-Dimensional Geometry; Probability. 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 BBT201?
BBT201 Elementary 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 BBT201 the same subject as KBT201?
Yes. AKTU renumbered its B.Tech subject codes from the 2022-23 session onwards, so the same subject appears as BBT201 and KBT201 depending on the scheme year. The syllabus content is the same.
Which semester is BBT201 taught in?
BBT201 Elementary Mathematics-II is taught in Semester 2 of the 1st year of the AKTU B.Tech programme.
How many credits is BBT201 worth?
BBT201 Elementary Mathematics-II carries 4 credits in the AKTU evaluation scheme, with an L-T-P of 3-1-0.
Where can I download BBT201 previous year question papers?
AKTU B.Tech previous year question papers for every semester are available to download free on Ryzenstudy, with no login or registration required.
Is this the official AKTU syllabus for BBT201?
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 (Biotechnology)), 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 (Biotechnology), effective from 2022-23. Ryzenstudy is not affiliated with AKTU. Content last verified on 2026-08-14.