Subject Code & Name: MA25C01 – Applied Calculus
Regulation: R-2025
Semester: I (First Semester)
Branch: B.E. Computer Science and Engineering (CSE)
Credits / L-T-P: 4 Credits | L-T-P: 3-1-0
Course Objectives
- To build technical competence in modelling engineering problems using calculus.
- To apply calculus concepts to solve engineering problems using analytical methods and computational tools.
Full Unit-wise Syllabus
Unit I – Differential Calculus
Functions, graph of functions, new functions from old functions, limit of a function, continuity, limits at infinity, derivative as a function, maxima and minima of functions of a single variable, mean value theorem, effect of derivatives on the shape of a graph.
Activities: Visualization of functions; maxima and minima using open-source software; solving competitive exam questions (e.g. GATE).
Unit II – Functions of Several Variables
Partial derivatives, chain rule, total derivative, maxima and minima of functions of two variables, method of Lagrange’s multipliers, application problems in engineering.
Activities: Partial derivatives with two or three variables; maxima and minima using open-source software; solving competitive exam questions (e.g. GATE).
Unit III – Integral Calculus
Fundamental theorem of calculus, indefinite integrals and the Net Change Theorem, improper integrals, arc length, area of a region, area of a surface of revolution.
Activities: Definite and indefinite integrals; determination of area; solving competitive exam questions (e.g. GATE).
Unit IV – Multiple Integrals
Iterated integrals and Fubini’s theorem, evaluation of double integrals, change of order of integration, change of variables between Cartesian and polar coordinates, evaluation of triple integrals, change of variables between Cartesian and cylindrical and spherical coordinates.
Activities: Double and triple integrals using open-source software; solving competitive exam questions (e.g. GATE).
Course Outcomes (COs)
| CO | Description |
|---|---|
| CO1 | Explain the meaning of derivative, integral, and their geometric and physical interpretations. |
| CO2 | Apply differentiation and integration techniques to compute maxima, minima, and area. |
| CO3 | Analyze the behavior of single and multivariable functions using derivatives and partial derivatives. |
| CO4 | Utilize modern computational software and online platforms to deepen understanding, perform complex calculations, and visualize mathematical concepts. |
Assessment Pattern (Quick Note)
- Weightage: Continuous Assessment 40% | End Semester Examination 60%
- Internal methodology: Assignments (20%), software-based application problems (20%), GATE-style questions (20%), internal examinations (40%)
Source: Official Anna University – B.E. CSE R-2025 Syllabus
Last Updated: September 2026
Comments
Post a Comment