BCA Maths Syllabus: 1st Year, Recommended Books [2024]

BCA Distance Education

Part-Time BCA

Parameters 

Online BCA 

Regular BCA 

Entry by Entrance

You can get direct BCA admission without entrance And no need to give any entrance. 

You need to give the entrance examination as it is compulsory to get admission to a regular BCA. 

Eligibility Criteria 

To enrol in online BCA fulfil certain eligibilities like-

The Candidate applying must have scored 50% marks in the 10+2 level from an accredited board. 

To enrol in regular BCA the entrance examination marks are important for selection. Also, Candidates applying must have scored 50% marks in the 10+2 level from a recognised board. 

Classes

In the Online mode of education, classes will be scheduled on weekends. Also, Students get video and audio lectures on their LMS, which helps them in their semester examinations.

For the regular mode of education, the classes are done in physical mode.

Study Material 

In Online BCA, students get study material from the university right after enrolment. You can access all the available study material on their LMS portal. 

Mostly, there is no availability of study material. Teachers guide students face-to-face and students prepare their study notes with their guidance. 

Examination and practical

All the semester and yearly examinations are done in online mode. The notification and the latest examination updates can be accessed on their student portal. You can appear for examination from anywhere in online mode with good internet connectivity on your system. 

All the practicals and examinations are done in the physical mode in the college. 

Colleges

• Amity University
• Manipal University
• Lovely Professional University
• Chandigarh University

• Amity University
• Lovely Professional University
• Manipal University
• Vellore Institute of Technology [VIT University], Vellore
• SRM Institute of Science and Technology 
• Symbiosis Institute of Computer Studies and Research

COMPLEX VARIABLES

• Complex Number Systems
• Polar Form Powers and Roots
• Elementary Functions
• Algebra of Complex Numbers
• Functions of Complex Variables
• Inverse Trigonometric Function.

SEQUENCE, SERIES AND CONVERGENCE

• Sequence
• Finite and Infinite Sequences
• Monotonic Sequence, Bounded Sequence Limit of a Sequence
• Convergence of a Sequence
• Series
• Partial Sums
• Convergent Series
• Theorems on Convergence of Series(statement, alternating series and conditional convergent) 
• Leibnitz Test
• Limit Comparison Test 
• Ratio Test
• Cauchy’s Root Test
• Convergence of Binomial and Logarithmic Series
• Raabe’s Test
• Logarithmic Test
• Cauchy’s Integral Test (without proof)

VECTOR CALCULUS

• Differentiation of Vectors
• Scalar and Vector Fields
• Gradient
• Directional Derivatives
• Divergence and Curl and their Physical Meaning.

FOURIER SERIES

• Periodic Functions
• Fourier series
• Fourier Series of Even and Odd Functions
•  Half Range Series

ORDINARY DIFFERENTIAL EQUATIONS OF FIRST ORDER

• Variable- Separable Method
• Homogeneous Differential Equations
• Exact Differential Equations
• Linear Differential Equations
• Bernoulli’s Differential Equations
• Differential Equations of First Order and First Degree by Integrating Factor

ORDINARY DIFFERENTIAL EQUATIONS OF SECOND ORDER

• Homogenous Differential Equations with Constant Coefficients
• Cases of Complex Roots and Repeated Roots
• Differential Operator
• Solutions by Methods of Direct Formulae for Particular Integrals
• Solution by Undetermined Coefficients
• Cauchy Differential Equations (only Real and Distinct Roots) 
• Operator Method for Finding Particular Integrals (Direct Formulae).

Sets 

• Sets
• Subsets
• Equal Sets 
• Universal Sets
• Finite and Infinite Sets
• Operation on Sets
• Union Intersection and Complements of
• Sets
• Cartesian Product
• Cardinality of Set
• Simple Applications

Relations and functions

• Properties of Relations
• Equivalence Relation
• Partial Order
• Relation Function: Domain and Range, Onto, Into and One to One Functions, Composite and Inverse Functions
• Introduction of Trignometric, Logarithmic and Exponential

Functions

Partial order relations and lattices

• Partial Order Sets
• Representation of POSETS using Hasse diagram, Chains, Maximal and Minimal Points, Glb, lub
• Lattices & Algebraic Systems, Principle of Duality, Basic
• Properties, Sublattices, Distributed & Complemented Lattics

Functions of several variables

• Partial Differentiation
• Change of Variables
• Chain Rule
• Extrema of Functions of 2 Variables
• Euler’s Theorem

3d coordinate geometry

• Cosines
• Angle Between Two Lines
• Projection of Join of Two Points on a Plane
• Equations of Plane
• Straight Lines
• Conditions for a line to lie on a plane
• Conditions for Two Lines to be Coplanar
• Shortest Distance Between Two Lines, Equations of Sphere
• A tangent plane at a point on the sphere

Multiple integrations

• Double Integral in Cartesian and Polar Coordinates to Find Area
• Change of Order of Integration, Triple Integral to Find Volume of Simple Shapes in Cartesian Coordinates.

BCA - 1st Semester Subjects

BCA - 2nd Semester Subjects

Computer and IT Fundamental

Financial Accounting & Management

Programming Principle & Algorithm

C Language advanced concepts

Digital Electronics

Organization Behaviour

C Language Lab

Mathematics- II

Mathematics- I

Operating Systems and Fundaments

Computer Laboratory and Practical Work of Programming Principles & Algorithm

Digital Electronics & Computer Organization

Subjects in 1st Year 

Description

Mathematics

It is a significant part of BCA. Mathematical skills include the concepts understanding of logical operators, set theory, relation and function, permutations and combinations, binary operations, differentiation, complex numbers and quadratic equations, sequences and series, calculus, circles, straight lines and many more. The mathematics plays a significant role in handling the computer applications.

Principle of Management

Students learn about the topics of management like definition, scope, nature, and many more. 

Computer Fundamentals 

It includes computer fundamental topics like an introduction to computers, and operating systems, computer network basics, the Windows operating environment, spreadsheets and database packages, algorithms and flowcharts and many more.

Programming Languages

There are many subtopics related to this subject like C, C++, Python, Java and many more.

IT Fundamental

This paper includes an overview of IT and its applications, its role in different sectors, and various perspectives on IT evaluation, basic computer applications, its organisation and architecture, operating systems, data representation, various computer networks, and many more.

Financial Accounting & Management

It includes all aspects related to finance and capital management. 

Programming Principle & Algorithm

Understanding the programming, its paradigm, analytics, algorithm design, data structures, and many more.

C Language advanced concepts

It is a more advanced study of programming languages. 

Digital Electronics

It deals with topics like fundamentals of digital circuits, logic gates, digital technology, boolean algebra and many more. 

BCA - 3rd Semester Subjects

BCA - 4th Semester Subjects

Database Management Systems

Object-oriented programming

Open-Source Technology

Web Designing

Software Engineering

Introduction to Linux

Web-based Applications

Elective

DBMS and Web Technology Lab

Data Structures

Subjects

Description

Database Management Systems

You will get to learn about the various aspects of database management like an introduction to database systems, data models, relational database management systems, normalisation, database designs, data administration, data security and integration, transaction management and many more.

Web-Based Applications

BCA also offers in-depth knowledge about topics like Introduction to Web technologies, HTML, Javascript, CSS, Server-side, Web Services, Security in web applications, Mobile web application, web application testing and many more topics that are related to web-based applications. 

Introduction to Linux

This is an integral part of the BCA syllabus that is offered in the second year of the BCA program. This subject deals with the Linux operating systems, command line interface, architecture, and essential concepts. 

Web Designing

In BCA, students get in-depth knowledge about topics like Introduction to Web Design, Responsive Web Design, typography, wireframing, web design tools and many more. 

Object-Oriented Programming

Students get the chance to learn about topics like object-oriented programming which is an integral part of the IT and computer application world.

BCA - 5th Semester Subjects

BCA - 6th Semester Subjects

Software Engineering - II

Information Security

eCommerce and Marketing

Elective

Advanced Java and Python Lab

Artificial Intelligence

Java Programming

Project/ Dissertation

Elective

Subjects

Description

Artificial Intelligence

It is the most essential part that can help you learn about many more new technologies and offer amazing job opportunities. In BCA you get the chance to learn about various aspects of the subject like Machine Learning, Introduction to Artificial Intelligence, and Computer Vision.

Advanced Java and Python Lab

These are essential parts of the BCA. The Java basics, servlets, JSP, JavaServer faces, enterprise javabeans, Python lab, its basics and data structures,  networking with Python and many more.

Database Management

It offers in-depth knowledge and skills to manage the database. This is important as it helps in controlling redundancy, data sharing, access control, offering multiple interfaces, and many more.

Web Development

It includes learning HTML, CSS, Javascript and many more.

Books

Author

The C Programming Language

Brian W Kernighan

Operating System Concepts

Avi Silberschatz and Peter Galvin

Software Engineering

Ian Sommerville

Fundamentals of Numerical Computation

G Alefeld and R Grigorieff

Data Structure Using C

A K Sharma

Design of the Unix Operating Systems

Maurice Bach

Algebraic Methodology and Software Technology

Grigore Rosu and Jose Meseguer

Object-Oriented Analysis and Design with Applications

Booch

BCA Mathematics Volume - III

Krishna Publications

Advanced Engineering Mathematics

A.B. Mathur and V.P. Jaggi