Link for video lectures :
Topic: Differential equations
Lecture 1: Introduction to differential equations https://youtu.be/Q8T9T3mXxUg
Lecture 2: Variable Separable, Homogeneous differential equations https://youtu.be/uCb-NxpRWko
Lecture 3: Exact differential equations https://youtu.be/DVxsvb7J-cI
Lecture 4: Non exact differential equations : https://youtu.be/h6hxbvRrKE8
Lecture 5: Linear Differential equation of first order : https://youtu.be/-IACBExGoLo
Lecture 6: Bernoulli's differential equation of first order : https://youtu.be/KGPA1pp6EJY
Lecture 7: Second order differential equations: https://youtu.be/z1qatLnXLW8
Lecture 8: Homogeneous differential equation with constant coefficients : https://youtu.be/lMxPc6tyxRE
Lecture 9: Homogeneous differential equation with variable coefficients: Cauchy-Euler and Legendre https://youtu.be/WfvCuKnuC1E
Lecture 10: Non Homogeneous differential equation : Method of undetermined coefficients https://youtu.be/OLtG5igA8Dc
Lecture 11: Non Homogeneous differential equation : Method of undetermined coefficients continued https://youtu.be/fQXm_ambCSQ
Lecture 12: Non Homogeneous differential equation: Variation of Parameters https://youtu.be/EuWVuz9BkZI
Lecture 13: Non Homogeneous differential equation: Variation of Parameters https://youtu.be/R3e3f9bDR4g
Lecture 21: Applications of Differential equations https://youtu.be/X9VMMP1TIVY
Topic: Laplace Transform
Lecture 14: Laplace Transform: Definition and formulae https://youtu.be/JBIBEIvkJxQ
Lecture 15: Laplace Transform: First shifting theorem https://youtu.be/diT8enFjKBE
Lecture 16: Laplace Transform: Properties of Laplace transform https://youtu.be/IypR2pHVMEc
Lecture 17: Inverse Laplace transform https://youtu.be/Zl3Ugv2nSJs
Lecture 18: Applications of Laplace transform to solve initial value problem https://youtu.be/UUi2E4XEXEg
Lecture 19: Convolution theorem https://youtu.be/RUAxfYoyiME
Lecture 20: Unit step function and second shifting property https://youtu.be/uSq_ODw1MFU
Lecture 22: Dirac Delta function and its Laplace transform https://youtu.be/aAOTdEYnARs
Lecture 23: Conditions of existence of Laplace transform https://youtu.be/jUZ_92eRDTc
Topic: Fourier series
Lecture 24: Introduction to Fourier series https://youtu.be/KW5Uk_XQl1g
Lecture 25 part 1: Fourier series Examples https://youtu.be/dIGfzhFim4I
Lecture 25 part 2: Fourier series Examples https://youtu.be/I1nAQvpDX8M
Lecture 26: Fourier Series of even/ odd functions https://youtu.be/nmj3SysQ2Eo
Lecture 27: Convergence of Fourier series https://youtu.be/fatY03agS_I
Lecture 28: Fourier half range sine and cosine series https://youtu.be/Yq8z4nbgB7o
Lecture 29: Heat equation- introduction https://youtu.be/ktwXhQQDK5o
Lecture 30: Heat equation: solution part 1 https://youtu.be/xodDpyhvqtk
Lecture 31: Heat equation: solution part 2 https://youtu.be/0WAUSaEAPwo
Lecture 32: Wave equation and its solution https://youtu.be/Z2tVgQ9Fp4s
Lecture 33: Wave equation examples https://youtu.be/OnllgzjigZ8
Topic: Linear Algebra
Lecture 34: Row-reduced echelon form https://youtu.be/uZlXoduI_xo
Lecture 35: Conversion of a matrix into row-reduced echelon form https://youtu.be/GvO7jw9CkDk