Summary and Practice questions
Dear students
I hope you all are doing well at your places in your homes. The first priority of the current time is your safety, so please be safe and take care of yourself and people around you.
So COVID-19 has disturbed our 21st lecture, and on wards :)
Anyways, we have to complete our syllabus for the current semester. We are left with two major topics Fourier Series and Linear Algebra (and some portion of Laplace transformations). I will first start with linear algebra and post videos here. Please go through these videos. We can plan doubt sessions through zoom later on.
GROUP D JOIN THE WHATSAPP GROUP HERE
GROUP E JOIN THE WHATSAPP GROUP HERE
LINEAR ALGEBRA VIDEOS
(The book we are following is: An Introduction to Linear Algebra by V Krishnamurthy, V P Mainra, J L Arora)
video 20 Notes (In this video, you can skip the sum of vector spaces.)
video 25 Notes (Till this video, the topic vector spaces is covered.)
video 26 Notes (Linear Transformation)
video 27 Notes (Eigen values and Eigen vectors)
(Now you are ready to solve tutorial sheet 9 which is uploaded (along with solutions) on the official course webpage)
(For practicing from the book, please refer to chapter 3 for vector spaces, section 4.1 for linear transformations and section 6.8 for Eigen values and Eigen functions)
(Now you are ready to solve tutorial sheet 8 which is uploaded (along with solutions) on the official course webpage)
(For practicing from the book, please refer sections 5.7 and 5.8)
FOURIER SERIES VIDEOS
(The book we are following is: Advanced Engineering Mathematics by Jain and Iyenger)
(Now you are ready to solve tutorial sheet 6 which is uploaded (along with solutions) on the official course webpage)
(Now you are ready to solve tutorial sheet 7 which is uploaded (along with solutions) on the official course webpage)
Left Part of Laplace Transformation
Second Shifting theorem: video 1 Notes
Second Shifting theorem: video 2 Notes
Second Shifting theorem: video 3 Notes
(Now you are ready to solve tutorial sheet 5 which is uploaded (along with solutions) on the official course webpage)