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- ORDINARY DIFFERENTIAL EQUATIONS - PART ONE
- First-Order Differential Equations
- Models Containing ODEs
- Methods for Solving First-Order ODEs
- Numeric Methods for Solving First-Order ODEs
- Second-Order Differential Equations
- The Laplace Transform
- INFINITE SERIES
- Sequences and Series of Numbers
- Sequences and Series of Functions
- Power Series
- Fourier Series
- Asymptotic Series
- ORDINARY DIFFERENTIAL EQUATIONS - PART TWO
- Systems of First-Order ODEs
- Numerical Techniques: First-Order Systems and Second-Order ODEs
- Series Solutions
- Boundary Value Problems
- The Eigenvalue Problem
- VECTOR CALCULUS
- Space Curves
- The Gradient Vector
- Line Integrals in the Plane
- Additional Vector Differential Operators
- Integration
- NonCartesian Coordinate
- Miscellaneous Results
- BOUNDARY VALUE PROBLEMS FOR PDEs
- Wave Equation
- Heat Equation
- Laplace's Equation in a Rectangle
- Nonhomogeneous Boundary Value Problems
- Time-Dependent Problems in Two Spatial Dimensions
- Separation of Variables in NonCartesian Coordinates
- Transform Techniques
- MATRIX ALGEBRA
- Vectors as Arrows
- Change of Coordinates
- Matrix Computations
- Matrix Factorizations
- COMPLEX VARIABLES
- Fundamentals
- Applications
- NUMERICAL METHODS
- Equations in One Variable - Preliminaries
- Equations in One Variable - Methods
- Systems of Equations
- Interpolation
- Approximation of Continuous Functions
- Numeric Differentiation
- Numeric Integration
- Approximation of Discrete Data
- Numerical Calculation of Eigenvalues
- CALCULUS OF VARIATIONS Basis Formalisms
- Constrained Optimization
- Variational Mechanics