Applied Mathematics: Operations Research Topics

 

- Operations Research Modeling approach

- Linear Programming

- The Simplex Method

- Other Algorithms for Linear Programming

*Dual Simplex Method

*Parametric Linear Programming

*The Upper Bound Technique

*Interior-Point Algorithm

*Goal Programming

- Duality Theory and Sensitivity Analysis

- Transportation and Assignment Problems

- Network Optimization Models

- Dynamic Programming

- Integer Programming

- Non-linear Programming

- Heuristic Programming

- Game Theory

- Decision Analysis

- Queuing Theory

- Inventory Theory

- Simulation Modeling

Applied Mathematics: Numerical Analysis Topics

 

- Errors in Numerical Computations

- Solutions of Equations in One Variable

- Solving Linear Systems of Equations

*Direct Methods

*Iterative Methods

- Solutions of Non-leanear Equations

- Interpolation

- Approximation Theory

- Approximating Eigenvalues

- Numerical Differentiation

- Numerical Integration

- Numerical methods to Ordinary Differential Equations

*Initial value problems

*Systems of Ordinary Differential Equations

*Boundary value problems

- Numerical methods to Partial Differential Equations

- Optimization

Mathematics: Algebra Topics

- Algebra Essentials

*Numbers and Arithmetics

*Mathematical Induction

*sequences and series

*Exponents and Notations

*Radicals and Rational Exponents

*Polynomails

*The binomial Theorem

*Rational Expressions

*Permutations and combinations

- Equations and Inequalities

*Linear Equations

*Complex numbers

*Quadratic Equations

*Other Types of Equations

*Linear Inequalities and Absolute Value Inequalities

- Functions

*Function Notation

*Domain and Range

*Composition of Functions

*Transformation of Functions

*Absolute Value Functions

*Inverses and radical Functions

*Exponential function

*Linear Functions

*Polynomail Functions

*Rational Functions

*Quadratic Functions

*Exponential Functions 

*Logarithmic Functions

*Periodic Functions

*Trigonometric Functions

- System of Equations and Inequalities

*System of Linear Equations

*System of NonLinear Equations and Inequalities

*Partial Fraction

*Matrices

*Determinants

*Solving System of Equations