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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

Mathematical skillKnowledge of engineering

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%).