Starting a new Lecture Notes Series on Advanced Math Concepts 1 : Laplace Transform
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Advanced Math Concepts 1 : Laplace Transform
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Lecture 1: What is a Laplace Transform?
Lecture 2: What is a Laplace Transform? Math Def
Lecture 3: The Laplace Transform of f(t)=t
Lecture 4: The Laplace Transform of f(t)=e^(at)
Lecture 5: The Laplace Transform of f(t)=cos(wt)
Lecture 6: The Laplace Transform of f(t)=sin(wt)
Lecture 7: Laplace Transform of f(t)=cos(wt)e^(at)
Lecture 8: s-Domain Equivalent of an Inductor
Lecture 9: s-Domain Equivalent of a Capacitor
Lecture 10: Analyzing a RCL Circuit in the s-Domain
Lecture 11: The Laplace Transform Table
Lecture 12: The Inverse of the Laplace Transform
Lecture 13: The Inverse[Laplace Transf] Strategy 1
Lecture 14: The Inverse[Laplace Transf] Strategy 2
Lecture 15: The Inverse[Laplace Transf] Strategy 3
Lecture 16: The Residue Method
Lecture 17: Linear Properties of the Laplace Transf
Lecture 18: Translation Prop of the Laplace Transf
Lecture 19: Shifting Prop. of the Laplace Transf
Lecture 20: Laplace Transform of the 1st Derivative
Lecture 21: Laplace Transf of the 1st Derivative: 1
Lecture 22: Laplace Transf of the 2nd Derivative
Lecture 23: Laplace Transf of the 3rd Derivative
Lecture 24: Solving a 2nd Order Differential Eqn
Lecture 25: Inverse Laplace Transform=? Ex. 1
Lecture 26: Inverse Laplace Transform=? Ex. 2
Lecture 27: Inverse Laplace Transform=? Ex. 3
Lecture 28: Inverse Laplace Transform=? Ex. 4
Lecture 29: Inverse Laplace Transform=? Ex. 5
Lecture 30: Solving Differential Equation Ex. 1
Lecture 31: Solving Differential Equation Ex. 2
Lecture 32: Solving Differential Equation Ex. 3
Lecture 33: Solving Differential Equation Ex. 4
Lecture 34: Shifting on the s-Domain Revisited
Lecture 35: Shifting on the t-Axis Revisited
Lecture 36: Find the Laplace Transform
Lecture 37: Response to an RC Circuit
Lecture 38: Response to an Undamped System 1
Lecture 39: Response to a Damped System 2
Lecture 40: Laplace Transform of the Integral
Lecture 41: Laplace Transform of the Integral Ex.
Lecture 42: Solving a Non-Homogeneous Diff. Eqn. 1
Lecture 43: Solving a Non-Homogeneous Diff. Eqn. 2
Lecture 44: What is Convolution? Def. 1
Lecture 45: What is Convolution? Def. 1: Ex.
Lecture 46: What is Convolution? Def. 1: Ex.
Lecture 47: What is Convolution? Def. 2: Graph 1
Lecture 48: What is Convolution? Def. 2: Graph 2
Lecture 49: What is Convolution? Example 2
Lecture 50: What is Convolution? Example 3
Lecture 51: What is Convolution? Example 4
Lecture 52: What is Convolution? Circuit Ex.
Lecture 53: Laplace Transform of Periodic Fct.
Lecture 54: Laplace Transform of Periodic Function
Lecture 55: Laplace Transform of Periodic Fct. Sum.
Lecture 56: Undamped System with a Spring
Lecture 57: Convolution Example
Lecture 58: Solve the Integrodifferential Equation