Class Central is learner-supported. When you buy through links on our site, we may earn an affiliate commission.

Indian Institute of Technology Delhi

Introduction To Methods Of Applied Mathematics

Indian Institute of Technology Delhi and NPTEL via Swayam

This course may be unavailable.

Overview

Prepare for a new career with $100 off Coursera Plus
Gear up for jobs in high-demand fields: data analytics, digital marketing, and more.
This course is aimed at final year undergraduate and graduate students in engineering, physics and applied mathematics. This will cover the very important and essential topics used by almost all branches of Science and engineering.INTENTED AUDIENCE : Any Interested LearnersPREREQUISITES : Some basic knowledge of Calculus, Differential Equations, Topics related to Mathematics – I, II will be an advantage.

Syllabus

Week 1 : Introduction to first order linear and non-linear ordinary differentialequations (ODE), Riccati equationWeek 2 : Solving second order ODE Week 3 : Introductions to Green’s functions for second order linear ODE Week 4 : Introduction to Adjoint operators and their Green’s functions Week 5 : Laplace Transforms and its properties Week 6 : Application of Laplace Transforms to solve ODE Week 7 : Introduction to Fourier Series Week 8 : Fourier integrals and Fourier Transform and properties Week 9 : Riesz bases, frames and orthonormal bases and shortcoming of Fourier Series Week 10: Shortcomings of Fourier transforms,Gabor transform, Window Fourier Transform, Multiresolution Analysis Week 11: Daubechies wavelet, wavelet series and wavelet transform and different properties of waveletsWeek 12: Revision and Problem-solving sessions

Taught by

Dr. Mani Mehra & Dr. Vivek Kumar Aggarwal

Tags

Reviews

Start your review of Introduction To Methods Of Applied Mathematics

Never Stop Learning.

Get personalized course recommendations, track subjects and courses with reminders, and more.

Someone learning on their laptop while sitting on the floor.