Engineering Mathematics II Course Guide | NPTEL | IIT Kharagpur | Prof. Jitendra Kumar
Course Details
| Exam Registration | 552 |
|---|---|
| Course Status | Ongoing |
| Course Type | Core |
| Language | English |
| Duration | 12 weeks |
| Categories | Mathematics |
| Credit Points | 3 |
| Level | Undergraduate |
| Start Date | 19 Jan 2026 |
| End Date | 10 Apr 2026 |
| Enrollment Ends | 02 Feb 2026 |
| Exam Registration Ends | 20 Feb 2026 |
| Exam Date | 25 Apr 2026 IST |
| NCrF Level | 4.5 — 8.0 |
Unlock Advanced Engineering Concepts with Engineering Mathematics II
For students pursuing science and engineering, a strong foundation in advanced mathematics is non-negotiable. Engineering Mathematics II is a pivotal course that bridges fundamental theory with critical applications in virtually every engineering discipline. This comprehensive 12-week course, offered through NPTEL and taught by the esteemed Prof. Jitendra Kumar of IIT Kharagpur, provides an in-depth exploration of the mathematical tools essential for solving complex real-world problems.
Meet Your Instructor: Prof. Jitendra Kumar
Learning from an expert with both deep theoretical knowledge and extensive research experience is invaluable. Prof. Jitendra Kumar brings precisely that to this course.
- Current Position: Professor and Head of the Department of Mathematics at IIT Ropar.
- Previous Tenure: Served at IIT Kharagpur for over 13 years, progressing from Assistant to Full Professor.
- Educational Background: Holds an M.Sc. in Industrial Mathematics (IIT Roorkee), a second M.Sc. from the Technical University of Kaiserslautern, Germany, and a Ph.D. from Otto-von-Guericke University Magdeburg, Germany.
- Research Excellence: Recipient of the prestigious Alexander von Humboldt Fellowship. Has published over 100 research articles and supervised 15 Ph.D. students. His expertise lies in numerical analysis and modeling.
Prof. Kumar's international academic experience and award-winning research ensure that the course content is both rigorous and aligned with global standards.
Course Overview & Learning Objectives
This course is designed as a natural progression from Engineering Mathematics I, diving deeper into four core pillars of applied mathematics. By the end of this course, students will be equipped to:
- Analyze and solve problems using Complex Variable Theory and contour integration.
- Apply Vector Calculus theorems (Green, Gauss, Stokes) to fields in physics and engineering.
- Utilize Transform Techniques (Laplace & Fourier) to solve differential equations governing systems and signals.
- Implement fundamental Numerical Methods for interpolation, integration, and solving equations computationally.
Detailed 12-Week Course Layout
The course is meticulously structured to build your understanding week by week. Here is the complete breakdown:
| Week | Topics Covered |
|---|---|
| Week 1-2 | Vector Calculus: Fields, gradient, curl, divergence, and the fundamental theorems (Green, Gauss, Stokes). |
| Week 3-4 | Complex Analysis: Analytic functions, Cauchy's theorem, Taylor/Laurent series, and the powerful Residue Theorem. |
| Week 5-6 | Numerical Analysis: Iterative methods, finite differences, interpolation, numerical integration, and root-finding. |
| Week 7-8 | Laplace Transforms: Properties, convolution, and applications to solving initial and boundary value problems. |
| Week 9-12 | Fourier Analysis: Fourier series, Fourier integrals, and Fourier transforms with applications to boundary value problems. |
Who Should Take This Course?
This course is intended for undergraduate students across all branches of engineering and science, including but not limited to:
- Civil, Mechanical, Electrical, Electronics, and Computer Science Engineering
- Physics, Chemistry, and Mathematics majors
- Any professional looking to solidify their advanced mathematical foundation
Prerequisite: A solid understanding of topics covered in Engineering Mathematics I (such as calculus, differential equations, and linear algebra) is essential. You can review the prerequisite course here: NPTEL Engineering Mathematics - I.
Recommended Textbooks & Resources
To complement the video lectures, the following textbooks are highly recommended for deeper study and practice problems:
- Kreyszig, E. - Advanced Engineering Mathematics (10th Ed.)
- O’Neil, Peter V. - Advanced Engineering Mathematics (7th Ed.)
- Colley, S.J. - Vector Calculus (4th Ed.)
- Zill, D.G., Shanahan P.D. - Complex Analysis: A First Course with Applications (3rd Ed.)
- Dyke, P.P.G. - An Introduction to Laplace Transforms and Fourier Series
Why This Course is Essential for Your Success
The concepts taught in Engineering Mathematics II are not merely academic exercises; they are the working language of modern engineering. From analyzing stress in structures (Vector Calculus) and designing control systems (Laplace Transforms) to processing signals (Fourier Transforms) and developing simulation software (Numerical Methods), this course provides the toolkit. Learning from an IIT professor through NPTEL's structured platform offers a world-class educational experience for free, making advanced knowledge accessible to all dedicated learners.
Enroll today and take a significant step toward mastering the mathematical principles that power innovation in engineering and science.
Enroll Now →