6. Dr. Isha Dhiman

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