Advanced mathmatics Study guides, Class notes & Summaries
Looking for the best study guides, study notes and summaries about Advanced mathmatics? On this page you'll find 11 study documents about Advanced mathmatics.
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Chapter 1 Section 1 - Chapter 2 Section 1
- Textbook notes • 24 pages • 2020
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Differential Form
Interval of Definition
Solution Curves
Explicit and Implicit Solutions
Families of Solutions
nth - Order Families
Singular Solutions
Piecewise Function
System of Differential Equations
Elementary Functions
Initial Value Problems
Geometric Interpretations
Interval or Definition of Solution
Second Order Initial Value Problem
Existence and Uniqueness of Ordinary Differential Equation
Construction of a Mathematical Model for a System
Dynamical Systems
Derivatives of Ordinary Differ...
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Chapter 2 Section 2 - Chapter 2 Section 5
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Separable Equations
Solution by Integration
Method of Solution for Separable Equations
Losing a Solution
Trivial Solutions
Integral Defined Function
Linear First Order Differential Equation
Procedure to Solve Linear First Order Differential Equations
Piecewise Linear Differential Equation
Error Function
Exact Equations
Method of Solution for Exact Equations
Exact Differential Equations
Implicit Solution
Integrating Factors
Homogeneous Solution
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Chapter 4 Section 2 - Chapter 4 Section 4
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Reduction of Order
Linear First Order 
Solution Methods to First-Order Differential Equations
Auxiliary Equations
3 cases to m-substitution
Distinct Real Roots
Repeated Real Roots
Conjugate Complex Roots
Euler's Formula
Imaginary and Real Root Equations
General Solution to Higher Order Differential Equations
Synthetic Division
Solving non-homogeneous Linear Differential Equations
Method of Undetermined Coefficients
General Solution using Undetermined Coefficients
Particular Solution Using Undete...
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Chapter 4 Section 6 - Chapter 4 Section 8
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Method of Undetermined Coefficients
Variation of Parameters
Linear Second Order Differential Equations
General Solution Using Variation of Parameters
Constants of Integration
Cauchy Euler Equations
Method of Solution Cauchy Euler Equation
Distinct Real Roots
Repeated Real Roots
Conjugate Complex Roots
Non-Homogeneous Equations
Green's Function
Linear Independence
Leibnez Formula
Boundary Value Problems
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Chapter 4 Section 1
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Initial Value Problem
Existence of Unique Solution
Requirements of a Unique Solution
Homogeneous Equation
Differential Operator
Superposition Principle
Superposition Homogeneous Differential Equations
Linear Dependance
Linear Independence
Linear Dependent Set of Functions
Criterion for Linear Independent Solutions
Wronskian Function
Existence of Fundamental Set
General Solution Homogeneous Equation
Non-homogeneous Equations and General Solution
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Chapter 6 Section 1 - Chapter 6 Section 3
- Textbook notes • 10 pages • 2020
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Ratio Testing Differential Equations
Identity Property
Polynomial Coefficients
Existence of Power Series Solution
Minimum Radius of Convergence
Finding Power Series Solution
Solution Curves
Regular and Irregular Singular Points
Method of Fronbenius
Two Series Solution
One Series Solution and Separate Cases
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Chapter 7 Section 1 - Chapter 7 Section 3
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Laplace Transformation
Sufficient Conditions for Existence of Laplace Transformation
Inverse Laplace Transformation
Termwise Division
Solving Linear Ordinary Differential Equations
Solving an Initial Value Problem using Laplace Transformation
Second Translation Theorem
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Chapter 5 Section 1 - Chapter 5 Section 3
- Textbook notes • 10 pages • 2020
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Hooke's Law
Free Undamped Motion
Equation of Motion
Double Spring System
Free Damped Motion and Separate Cases 
Differential Equation of Driven Motion with Resistance
Transient and Steady State Terms
Pure Resonance
LRC Series Circuit
Linearization
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Chapter 8 Section 1 - Chapter 8 Section 2
- Textbook notes • 7 pages • 2020
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Linear Systems, Eigen Values and Eigen Vectors
Matrix Form of a Linear System
Super Position Principle of Homogeneous Systems
Criterion for Linear Independent Systems
Existence of Fundamental Set of Solutions
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Chapter 3 Section 1 - Chapter 3 Section 3
- Textbook notes • 10 pages • 2020
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Growth and Decay Models
Carbon Dating
Bacterial Growth
Half Life Equation
Newton's Law of Heating and Cooling
Mixtures
First Order Differential Equation
Population Dynamics
Logistic Equation
Chemical Reaction
Linear or Non Linear Systems
Radioactive Series
Predator Prey Model
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