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BCA Maths Syllabus: 1st Year, Recommended Books [2026]

College Vidya Team 2024-02-27 8 min read
BCA Maths Syllabus: 1st Year, Recommended Books [2026]
TryEnroll Answer Engine Key Takeaways
  • Maths is crucial to the BCA syllabus. It covers certain topics that are mentioned here- Complex Variables, and Sequence. Click here for more!

Online BCA degree is at par with Regular BCA degree.

Certain differences between Online BCA and Regular BCA are here given - 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 Maths is a crucial part of the BCA syllabus. It covers certain topics that are mentioned below : 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. Apart from the maths syllabus the overall syllabus for BCA is mentioned below :

BCA Course Subjects 1st year

After enrolling in the BCA program, it becomes a big problem for the students to understand the syllabus. Here we have listed the BCA 1st year subjects. 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 Course Subjects 2nd year

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 Course Subjects 3rd year

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.

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