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BSc Applied Mathematics Syllabus: Core Subjects, Electives and Exam Pattern

Akangsha Das's profile picture

Updated on Jun 25, 2025

Akangsha Das

The BSc Applied Mathematics course curriculum has been designed in such a way that the students are provided with analytical, computational, and problem-solving skills using the application of mathematics with a practical approach. The course bridges the gap between theoretical knowledge and practical application in such a way that the students become employable in the field of Technology, Research, Finance, Data Analysis, and Engineering. The foundation subjects include Calculus, Linear Algebra, Numerical Methods, Probability, Statistics, and Differential Equations—each a technique for industry problem-solving.

 

Typically lasting three years or six semesters, the course is offered by all Indian universities under the CBCS (Choice-Based Credit System). Beyond core courses, the students may pursue Computer Programming, Mathematical Modeling, and electives like Operations Research or Discrete Mathematics. Laboratory classes, practicals, and project-based assessment are accorded importance in the course so that the students also get to learn practically, besides theoretically.

 

Table of Contents

  1. BSc Applied Mathematics Semester-Wise Syllabus 2025
  2. BSc Applied Mathematics Elective Subjects
  3. BSc Applied Mathematics Sem-wise Exam Pattern
  4. Frequently Asked Questions

 

BSc Applied Mathematics Semester-Wise Syllabus 2025

The BSc Applied Mathematics semester-wise syllabus for 2025 at Delhi University is structured to provide students with a balanced blend of theoretical concepts and practical applications in mathematics. Spanning six semesters, the program includes foundational subjects such as calculus, algebra, and geometry in the early stages, gradually progressing to advanced topics like Numerical Methods, Differential Equations, Mathematical Modeling, and Computer Programming.

Semester 1

Semester 2

Calculus I

Calculus II

Algebra I (Matrix Theory)

Algebra II (Group Theory)

Mathematical Logic and Proof Techniques

Differential Equations

Introduction to Computer Programming

Data Structures and Algorithms

Environmental Science (AECC)

English Communication Skills (AECC)

Practical: Programming Lab

Practical: Differential Equations Lab

Semester 3

Semester 4

Real Analysis I

Real Analysis II

Linear Algebra and Geometry

Partial Differential Equations

Probability and Statistics I

Probability and Statistics II

Numerical Methods

Optimization Techniques

Discipline-Specific Elective I (e.g., Mechanics)

Discipline-Specific Elective II (e.g., Graph Theory)

Practical: Numerical Methods Lab

Practical: Statistics & Optimization Lab

Semester 5

Semester 6

Mathematical Modeling

Advanced Numerical Methods

Complex Analysis

Integral Transforms and Applications

Dynamical Systems

Industrial Mathematics or Mathematical Finance

Discipline-Specific Elective III (e.g., Fluid Mechanics)

Discipline-Specific Elective IV (e.g., Cryptography)

Skill Enhancement Course (e.g., LaTeX or Python)

Project/Dissertation

Practical: Modeling & Simulation Lab

Practical: Elective & Project Work

 

BSc Applied Mathematics Elective Subjects

The elective subjects in the BSc Applied Mathematics program allow students to explore specialized areas beyond the core curriculum, tailoring their academic path to match BSc Applied Mathematics career interests or higher study goals. Offered typically from the third or fourth semester onward, these electives cover diverse and advanced topics such as Fluid Mechanics, Graph Theory, Cryptography, Operations Research, and Mathematical Finance.

Semester 3Semester 4
MechanicsGraph Theory
Discrete MathematicsNumber Theory
Mathematical ComputingOperations Research
Semester 5Semester 6
Fluid MechanicsMathematical Finance
Advanced AlgebraCryptography
Mathematical BiologyMathematical Modeling
-Topology

 

BSc Applied Mathematics Sem-wise Exam Pattern

The semester-wise exam pattern for BSc Applied Mathematics is designed to assess both theoretical understanding and practical skills gained throughout the course. Typically, each semester includes theory exams covering core and elective subjects, along with practical/lab assessments for courses involving programming, numerical methods, or modeling. Exams usually follow a semester-end format with a mix of objective, short answer, and long answer questions to evaluate problem-solving abilities and conceptual clarity.

Features

Details

Exam Frequency

Conducted at the end of each semester (6 semesters in total)

Exam Type

Theory exams + Practical/lab assessments

Question Format

Combination of objective, short answer, and long answer questions

Internal Assessment

Includes assignments, quizzes, presentations, and project work

Practical Exams

Focus on programming, numerical methods, and mathematical modeling

Evaluation Weightage

Theory and practical exams usually carry separate weightage (varies by university)

Passing Criteria

Minimum marks required in both the theory and practical components

 

Frequently Asked Questions

How does the curriculum of the BSc Applied Mathematics balance between theory and practice?

The BSc Applied Mathematics programme focuses on the interface of mathematical abstractions and applications. Fundamentals like calculus, algebra, and introductory programming are studied in the initial two or three semesters so that a strong analytical foundation is well laid. The programme teaches applied topics like numerical methods, mathematical modelling, and optimization techniques, later to be able to treat engineering, finance, and technology-based problems correctly.

In what ways is the BSc Applied Mathematics syllabus utilizing new computing tools and technology?

With increased emphasis on computer literacy, the BSc Applied Mathematics course in applied universities has been modified to include programming languages such as Python, MATLAB, and R. They are included either as independent courses or laboratory practice courses in numerical computation and algorithm design. Other than data structures and algorithms, which are of extreme importance when it comes to solving problems in an optimal manner, the course introduces them. Incorporation of this kind makes the students proficient with such instruments widely used in data science, software development, and research to fill the gap between maths of the past and work today based on technology.

How can a student specialise in specific areas through BSc Applied Mathematics elective subjects?

BSc Applied Mathematics syllabus offers sufficient flexibility in terms of electives so that the students are able to align learning with interests and professional ambition. They can choose and pick electives such as fluid mechanics, graph theory, cryptography, operations research, and mathematical finance from third semester itself. Not only does it enhance their overall corpus of knowledge, but master's expertise also beneficial to specific sectors such as banking, cyber security, research, and engineering.

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