Study Material

Study Material

Dear Students,

All of you are requested to kindly go through the books as given in your course syllabus. These notes has been prepared from the same books (taking in to account the syllabus of the course) but there may be some useful information (available in those book) that may be missing in these lecture notes. In any case if you are reading these notes then for any comments, suggestions or error you can contact me at email id: jkaur@thapar.edu

Lecture notes of Mathematics-II(UMA004)(Week Wise)

     UNIT- 1. Ordinary Differential 

https://www.youtube.com/watch?v=h1VSrjBWSPU&list=PLBQ87kUDVO--DpCC15IN0xHgT4XtoeI1s

• Ist week Lecture notes                           

• 2nd week Lecture notes  

• 3rd week lecture notes

• 4th week Lecture notes

• 5th week Lecture notes

UNIT-2. Laplace Transform 

https://www.youtube.com/watch?v=bJlkuRDVopY&list=PLBQ87kUDVO-_kBgFdzNCpQ2VY5Ai2ucV-

• 6th Week Lecture notes

• 7th Week Lecture notes

• 8th Week Lecture Notes

• 9th Week Lecture notes

• 10th Week lecture notes

UNIT-3. Fourier Series

https://www.youtube.com/watch?v=JyXGNm-3b8Y&t=38s 

• Notes on Fourier series, convergence, half range

• Notes on Application of Fourier Series

• Notes on Revision of Fourier series

UNIT-4 Linear Algebra

https://www.youtube.com/watch?v=2fOqAlu_PQA&list=PLBQ87kUDVO-_Yk4KpUIVTIApW9lBV9fol

• Row-reduced Echelon form  and rank

• Eigen Values and Eigen Vectors

• vector space, subspace and span

• Linearly independent and dependent

• Basis and Dimension

• Linear Transformation (Linear Map)

Tut Sheets With Solution  

Tut-Sheet 01 Solution of Tut sheet 01

Tut-Sheet 02 Solution of Tut-sheet 02

Tut-Sheet 03

VIDEOS on ODE(2020-21)

Videos on Laplace Transform (2020-21)