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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)
The certification course is an elective undergraduate programme that lasts for 12 weeks.
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.
The students must have basic knowledge of Calculus, Differential Equations, and topics related to Mathematics – I and II will be useful for them
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.
Once the students pay the examination fee, they will receive a confirmation email on their registered email ID.