Course Software for Learning
Differential Equations, Numerical Methods, and Linear Programming

Coursewares

How to solve problems of Mathematical Physics I

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

How to solve problems of Mathematical Physics II

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

• Complex Analysis
• Probability and statistics
• Calculus of variations

Scientific Computing with Matlab I

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

Scientific Computing with Matlab II

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

Software simulators

Ordinary Differential Equations

The interactive software demonstrations feature three popular dynamical models:

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

Linear Programming and Network Flows

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

Lecture notes

Linear Algebra

The online lecture notes feature chapters on Linear Algebra:

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

Numerical Methods for Polynomial Interpolation

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