LEARNING RESOURCES

Important Web-links for Mathematics-II (3110015)

CO-1: Vector Calculus:

https://www.whitman.edu/mathematics/calculus_online/chapter16.html

CO-2: Laplace Transform:

https://web.stanford.edu/~boyd/ee102/laplace.pdf

Fourier Integral:

https://math.mit.edu/~gs/cse/websections/cse41.pdf

https://wiki.math.ntnu.no/_media/tma4130/2020h/lecture9.pdf

CO-3: First order ordinary differential equations:

https://www.sfu.ca/math-coursenotes/Math%20158%20Course%20Notes/sec_first_order_homogeneous_linear.html

http://ip.csie.ncu.edu.tw/course/EM/EM801p.pdf

CO-4: Higher order ordinary differential equations:

https://www.math.purdue.edu/~stindel/teaching/ma262/higher-order-edwards-262.pdf

https://germanna.edu/sites/default/files/2022-03/Higher-Order-Differential-Equations.pdf

CO-5: Series Solutions:

https://math.libretexts.org/Bookshelves/Calculus/Calculus_(OpenStax)/17%3A_Second-Order_Differential_Equations/17.04%3A_Series_Solutions_of_Differential_Equations

http://www.math.ualberta.ca/~xinweiyu/334.1.10f/DE_series_sol.pdf

http://homepage.divms.uiowa.edu/~idarcy/COURSES/100/mainBuchananSingula.pdf

 Video Lectures (NPTEL and Others) of Mathematics-II (3110015)

CO-1: Vector Calculus:

https://ocw.mit.edu/courses/18-02-multivariable-calculus-fall-2007/video_galleries/video-lectures/

https://www.youtube.com/playlist?list=PLkZjai-2JcxnYmkg6fpzz4WFumGVl7MOa

CO-2: Laplace Transform:

https://archive.nptel.ac.in/courses/111/106/111106139/

Fourier Integral:

https://ocw.mit.edu/courses/18-085-computational-science-and-engineering-i-fall-2008/resources/lecture-33-filters-fourier-integral-transform/

CO-3: First order ordinary differential equations:

https://edurev.in/studytube/Exact-Differential-Equations/922e03b6-b047-4060-9509-089a92dd2970_v

https://ocw.mit.edu/courses/18-03sc-differential-equations-fall-2011/pages/unit-i-first-order-differential-equations/

https://archive.nptel.ac.in/courses/111/106/111106100/

CO-4: Higher order ordinary differential equations:

https://ocw.mit.edu/courses/18-03-differential-equations-spring-2010/video_galleries/video-lectures/

CO-5: Series Solutions:

https://ocw.mit.edu/courses/res-18-008-calculus-revisited-complex-variables-differential-equations-and-linear-algebra-fall-2011/resources/lecture-6-power-series-solutions/

https://www.youtube.com/watch?v=0yQXR4xR9RU