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MuPAD Tutorial I, part I: Plotting
Introduction
(current)
Calculus
Plotting
Discontinuous Functions
Direction Fields
Implicit Plot
Parametric Plots
Labeling Figures
Figures with Arrows
Electric circuits
Plotting with filling
Polar plot
Some Famous Curves
Cycloids
Miscellaneous Examples
References
First order ODEs
Solving First Order ODEs
Plotting Solutions to ODEs
Direction Fields
Separable Equations
Equations Reducible to the Separable Equations
Equations with Linear Fractions
Exact Equations
Integrating Factors
Linear Equations
RC circuits
Bernoulli Equations
Riccati Equations
Existence and Uniqueness
Qualitative Analysis
Bifurcations
Orthogonal Trajectories
Population Models
Applications
Numerical Methods
Numerical Solution
Fixed Point Iteration
Bracketing Methods
Secant Methods
Euler's Methods
Heun Method
Runge-Kutta Methods
Runge-Kutta Methods of order 2
Runge-Kutta Methods of order 3
Runge-Kutta Methods of order 4
Polynomial Approximations
Error Estimates
Adomian Decomposition Method
Modified Decomposition Method
Multistep Methods
Multistep Methods of order 3
Multistep Methods of order 4
Milne Method
Hamming Method
Applications
Second order ODEs
Differential Equations of higher order
Fundamental Sets of Solutions
General Solutions
Complex Roots
Reduction of order
Variation of Parameters
Method of Undetermined Coefficients
Operator Methods
Numerical Solutions
Spring Problems
Pendulum
Electric Circuits
Dyer Model
Applications
Boundary Value Problems
Series and Recurrences
Recurrences
Generating Functions
Series Solutions for the first Order Equations
Transvers Vibrations
Laplace Equation
Laplace in Polar coor--s
Applications
Resources
Laplace transform
Definition of Laplace Transform
Heaviside Function
Laplace Transform of Discontinuous Functions
Table of Laplace transforms
Inverse Laplace transform
Convolution Integral
Residue method
Solving IVPs with Laplace transform
Nonhomogeneous ODEs
ODEs with discontinuous input
Nonconstant Coefficient IVP’s
Plotting
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