Mathematics Notes
A collection of mathematics notes and interactive demonstrations
Topics
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Algebra
Calculus
Cellular Automata
Complex Analysis
- Module 01 Algebriac Properties
- Module 02 Regions Of The Complex Plane
- Module 03 Complex Functions
- Module 04 Limits
- Module 05 Derivatives
- Module 06 Harmonic
- Module 07 Zeros
- Module 08 Elementary Functions
- Module 09 Indefinite Integrals
- Module 10 Contour Integrals
- Module 11 Independence Of Path
- Module 12 Cauchy Goursat
- Module 13 Cauchy Integral Formula
- Module 20 Taylor And Maclaurin Series
- Module 21 Laurent Series
- Module 22 Classification Of Singularities
Differential Equations
- Index
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Ordinary Differential Equations
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Chapter 01 Basic Concepts
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Chapter 02 Special Types Of First Order Equations
- Lesson 06 Meaning Of The Differential Of A Function And Separable Differential Equations
- Lesson 07 First Order Differential Equation With Homogenous Coefficients
- Lesson 08 Differential Equations With Linear Coefficients
- Lesson 09 Exact Differential Equations
- Lesson 10 Recognizable Exact Differential Equations And Integrating Factors
- Lesson 11 The Linear Differential Equation Of The First Order And Bernoulli Equation
- Lesson 12 Miscellaneous Methods Of Solving A First Order Differential Equation
- Lesson 12B Summary
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Chapter 03 Problems Leading To First Order Equations
- Lesson 13 Geometric Problems
- Lesson 14 Trajectories
- Lesson 15 Dilution And Accretion, Interest, Temperature, Decomposition And Growth, Second Order Processes
- Lesson 16 Motion Of A Particle Along A Straight Line
- Lesson 17A Pursuit Curves
- Lesson 17B Miscellaneous Types Of Problems Leading To Equations Of The First Order
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Chapter 04 Linear Differential Equations Of Order Greater Than One
- Lesson 19 Linear Independence Of Functions And The Linear Differential Equation Of Order N
- Lesson 20 Solution Of The Homogeneous Linear Differential Equation Of Order N With Constant Coefficients
- Lesson 21 Solution Of The Nonhomogeneous Linear Differential Equation Of Order N With Constant Coefficients
- Lesson 22 Solution Of The Nonhomogeneous Linear Differential Equation By The Method Of Variation Of Parameters
- Lesson 23 Solution Of The Linear Differential Equation With Nonconstant Coefficients Reduction Of Order Method
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Chapter 05 Operators And Laplace Transforms
- Lesson 24 Differential And Polynomial Operators
- Lesson 25 Inverse Operators
- Lesson 26 Solution Of A Linear Differential Equation By Means Of The Partial Fraction Expansion Of Inverse Operators
- Lesson 27 The Laplace Transform And Gamma Function
- Lesson 27B Summary Of Methods Of Solving Higher Order Linear Differential Equations
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Chapter 06 Problems Leading To Linear Equations Of Order Two
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Chapter 90 Series Solutions
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Chapter 91 Initial And Boundary Values Problems
- Lesson 00 Credits
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Partial Differential Equations