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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 Introduction to Methods of Applied Mathematics certification course is a 12-week duration programme. The prerequisite for this course is some basic knowledge of Calculus, differential equations, and topics related to Mathematics - I, II will be an added advantage. The certification course focuses on the important topics used by all the branches of Science and Engineering.

The certification course is elective and can be pursued by anyone interested in applied mathematics. The Introduction to Methods of Applied Mathematics certification by NPTEL covers a comprehensive curriculum that includes an introduction to first-order linear and non-linear ordinary differential equations (ODE), Riccati equation, and Solving second-order ODE.

Also Read: Online Mathematics Courses & Certifications

The Highlights

12 Weeks Duration
Completion Certification
Undergraduate Level Course

Programme Offerings

Books
Transcripts
videos

Courses and Certificate Fees

Certificate Availability	Certificate Providing Authority
yes	IIT Delhi

Eligibility Criteria

Academic Qualifications

To join the Introduction to Methods of Applied Mathematics online course, there is no specific requirement. If students have some basic knowledge of Calculus, Differential Equations, and Topics related to Mathematics – I, II it will be beneficial for them to gain a deeper understanding of the subject.

Certification Qualifying Details

To receive a certificate after completing the Introduction to Methods of Applied Mathematics online course, the students are required to register and write the exam with a minimum passing score.

What you will learn

Candidates will gain a deep understanding of introductions to Green’s functions for second-order linear ODE, and Laplace Transforms and its properties. After completing the Introduction to Methods of Applied Mathematics certification syllabus, they will gain a deep understanding of Fourier integrals and Fourier Transform and properties.

Upon competition of the Introduction to Methods of Applied Mathematics training, the participants will be able to apply the learnt principles and knowledge in real-world projects. They will also get an opportunity to explore the shortcomings of Fourier transforms, Window Fourier Transform, and Multiresolution Analysis. With the help of leading industry experts, students will gain hands-on training.

Who it is for

This certification course is designed for aspiring students to develop the required knowledge and skills. This certification course is also beneficial for:

Admission Details

To join the Introduction to Methods of Applied Mathematics classes, follow the steps mentioned below:

Step 1: Browse the link mentioned below:

https://nptel.ac.in/courses/111102133

Step 2: Log in with a Google account or create a new one and log in.

Step 3: Fill out the form with the required information, submit it and start the course.

The Syllabus

Introduction to first-order linear and non-linear ordinary differential equations (ODE), Riccati equation

Solving second order ODE

Introductions to Green’s functions for second-order linear ODE

Introduction to Adjoint operators and their Green’s functions

Laplace Transforms and its properties

Application of Laplace Transforms to solve ODE

Introduction to Fourier Series

Fourier integrals and Fourier Transform and properties

Riesz bases, frames and orthonormal bases and shortcomings of Fourier Series

Shortcomings of Fourier transforms, Gabor transform, Window Fourier Transform, Multiresolution Analysis

Daubechies wavelet, wavelet series and wavelet transform and different properties of wavelets

Revision and Problem-solving sessions

Evaluation process

Students score minimum marks of 25% in assignments and 75% in the written exam, with a total of 100 marks.

IIT Delhi Frequently Asked Questions (FAQ's)

1: What is the duration of the Introduction to Methods of Applied Mathematics online course?

The certification course is an elective undergraduate programme that lasts for 12 weeks.

2: What is the Introduction to Methods of Applied Mathematics certification course curriculum?

The certification course curriculum includes an introduction to first-order linear and non-linear ordinary differential equations (ODE), the Riccati equation, solving second-order ODE and introductions to Green’s functions for second-order linear ODE.

3: What is the prerequisite required for the Introduction to Methods of Applied Mathematics online course?

The students must have basic knowledge of Calculus, Differential Equations, and topics related to Mathematics – I and II will be useful for them

4: Can students register for more than one NPTEL online exam?

Yes, the students can select a maximum of 12 NPTEL certification examinations in one semester. The exams will be conducted 6 days in each semester and there will be two sessions.

5: Where can students find the exam fee payment details for the Introduction to Methods of Applied Mathematics certification course?

Once the students pay the examination fee, they will receive a confirmation email on their registered email ID.