## Course Software for Learning

Differential Equations, Numerical Methods, and Linear Programming

### Coursewares

The courseware features chapters on algorithms of solutions
of problems in Mathematical Physics:

- Advanced Linear Algebra
- Ordinary Differential Equations
- Sturm-Lioville Eigenvalue Problems
- Partial Differential Equations
- Integral Transforms

The courseware features chapters on algorithms of solutions
of problems in Mathematical Physics:

- Complex Analysis
- Probability and statistics
- Calculus of variations

The courseware features four chapters on
MATLAB numerical algorithms:

- Introduction into MATLAB computing
- Matrix computations and MATLAB linear algebra
- Numerical algorithms with MATLAB
- Mathematical modeling with MATLAB

The computer labs feature twelve projects on scientific
computing, including the project descriptions and MATLAB files.

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Software simulators

The interactive software demonstrations feature three popular dynamical models:

- Nonlinear damped pendulum
- Predator-prey population system
- Van-der-Pol nonlinear oscillator

The interactive quizzes feature nine quizzes on problems of linear
programming and network flows.

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Lecture notes

The online lecture notes feature chapters on Linear Algebra:

- Linear systems of equations
- Matrices and determinants
- Eigenvalue problems
- Vector geometry
- Vector spaces

The online lecture notes feature three chapters on
numerical methods and scientific computing:

- Introduction to numerical analysis and MATLAB programming
- Polynomial interpolation and approximation (curve fitting)
- Numerical differentiation and integration

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