Get updates on Eligibility, Admission, Placements Fees Structure
Quick Facts
| Medium Of Instructions | Mode Of Learning | Mode Of Delivery |
|---|---|---|
| English | Self Study | Video and Text Based |
Course Overview
The ‘Advanced Engineering Mathematics’ online course is a study about the analytical functions and applications of the various concepts and ideas that form the core of engineering mathematics. The National Program for Technology Enhanced Learning program (NPTEL) free online course is offered on the Swayam education platform for the undergraduate and postgraduate students of engineering and science.
The course curriculum is designed and provided by the Indian Institute of Technology Roorkee for twelve weeks. This certification course is a core course for undergraduate-level students. The course educator for this program is Dr. P. N. Agarwal from the department of mathematics at IIT Roorkee. The students of the ‘Advanced Engineering Mathematics online training program can earn three credit points. The candidates will also receive a course certificate that is e-verifiable with the authenticated logos of NPTEL and IIT Roorkee. The twelve weeks of training on the theoretical principles of the mathematical aspects of engineering and sciences enables the students to develop expertise in this domain.
The Highlights
- Free online training
- Twelve weeks course
- NPTEL course
- IIT faculty
- Three credit points
- Expert guidance
- E-certificate
Programme Offerings
- Course Modules
- videos
- Lectures
- Books
- references
- assignments
- Final Exam
- free course
- Three credits
- E-certificate
Courses and Certificate Fees
| Fees Informations | Certificate Availability | Certificate Providing Authority |
|---|---|---|
| INR 1000 | yes | IIT Roorkee |
The ‘Advanced Engineering Mathematics’ free training program is available for the students on the Swayam website and the students are required to pay the exam registration fee.
Advanced Engineering Mathematics fee structure
| Description | Amount in INR |
| Course Fee | Nil |
| Exam Fee | Rs 1000 |
Eligibility Criteria
Certificate qualifying details
The students with a minimum mark of 10/25 (25%) in 6 out of 8 assignments and 30/75 (75%) in the final exam with a total of 40/100 are eligible to receive the course certificate.
What you will learn
The ‘Advanced Engineering Mathematics’ syllabus is structured to provide an understanding of the different applications of the mathematical concepts of engineering in the field such as signal processing, potential theory, and bending of beams. The students will get familiar with principles of complex analysis, the aspects of power series, the functionalities of Fourier integrals and transforms along with Bayes theorem and probability distribution.
Who it is for
This ‘Advanced Engineering Mathematics’ online certification course is designed for all the students, graduates, and industry professionals belonging to different domains of engineering and science institutions.
Admission Details
The students interested in the ‘Advanced Engineering Mathematics’ training program can get admission by registering online on the Swayam website.
Step 1: Using the link below, get to the course page on the official website of Swayam
https://onlinecourses.nptel.ac.in/noc21_ma57/preview
Step 2: Click on the Sign-In/Register button
Step 3: Fill in the registration details and complete the process.
Application Details
The applicants can enter their name, phone number, email address, and others on the registration page or can choose to sign in using their valid Google or Facebook ID.
The Syllabus
- Analytic Functions
- Cauchy-Riemann Equations
- Harmonic Functions
- Harmonic Conjugates and Milne’s Method
- Applications to the problems of potential flow-I
- Applications to the problems of potential flow-II
- Complex integration
- Cauchy’s theorem-I
- Cauchy’s theorem-II
- Cauchy’s Integral Formula for the Derivatives of an Analytic Function
- Morera’s theorem, Liouville’s theorem, and Fundamental Theorem of Algebra
- Winding Number and Maximum Modulus Principle
- Sequences and Series
- Uniform Convergence of Series
- Power Series
- Taylor series
- Laurent Series
- Zeros and Singularities of an Analytic Function
- Residue at a Singularity
- Residue Theorem, Meromorphic Functions
- Evaluation of real integrals using residues-I
- Evaluation of real integrals using residues-II
- Evaluation of real integrals using residues-III
- Evaluation of real integrals using residues-IV
- Evaluation of real integrals using residues-V
- Bilinear Transformations
- Cross-ratio, Conformal Mapping-I
- Conformal Mapping-II
- Conformal mappings from half-plane to disk and half-plane to half plane-I
- Conformal mappings from disk to disk and angular region to disk
- Application of Conformal mapping to potential theory
- Review of Z-transforms-I, Review of Z-transforms-II
- Review of Z-transforms-III
- Review of bilateral Z-transforms
- Finite Fourier transforms
- Fourier integrals and Fourier transforms
- Fourier Series, Discrete Fourier transforms-I
- Discrete Fourier transforms-II
- Basic concepts of probability
- Conditional probability
- Bayes theorem and Probability networks
- Discrete probability distribution
- Binomial distribution
- Negative binomial distribution and Poisson distribution
- Continuous probability distribution
- Poisson Process
- Exponential distribution
- Normal distribution
- Joint distribution-I
- Joint probability distribution-III
- Joint probability distribution-III
- Correlation and regression-I
- Correlation and regression-II
- Testing of hypotheses-I
- Testing of hypotheses-II
- Testing of hypotheses-III
- Application to Queueing Theory and Reliability Theory
Evaluation process
- The final proctored certification exam is mandatory for the students to get access to the course certificate.
- The exam registration and payment are done through the website.
- The qualifying marks in the certification exam are 30/75 (75%).
Instructors
IIT Roorkee Frequently Asked Questions (FAQ's)
The course is conducted for twelve weeks.
The course educator is Dr. P. N. Agarwal from the mathematics department at the Indian Institute of Technology Roorkee.
There are no prerequisites required for this online course.
The students will gain three credits points for this core course.
The e-certificate for this program can be downloaded which is made available on the website.