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Courses

  • Optimization and Performance Analysis (60003)
    • תקציר הקורס:

    Abstract:

    The course focuses on formulating and solving optimization problems using mathematical models. During the course, students will study the following topics:

    Linear Optimization: formulations, duality, complementary slackness.

    Integer Linear Optimization: formulations, branch-and-bound method.

    Dynamic Programming principles and examples.

    Nonlinear Optimization: convex optimization, unconstrained optimization problems, first and second-order optimality conditions, gradient-based computational methods.

    Constrained Optimization: KKT conditions, duality.

    The course will include the use of Excel software for solving optimization problems.
  • Introduction To Probability (90911)
    • תקציר הקורס:

    Abstract:

    Basic concepts in probability theory: sample space, elementary theorems, combinatorial calculations, conditional probability and independence, random discrete variables, expected value and variance, special random variables,

     multivariate variables, central limit theorem. Basic concepts in statistics: statistical estimation and testing, confidence intervals.
  • Discrete Mathematics (90926)
    • תקציר הקורס:

    Abstract:

    Logic – basic definitions and concepts, predicate arithmetic. Set theory – basic definitions, general relations, equivalent and order relations, mathematical induction principle, f?unctions and set cardinality. Combinatorics – basic definitions and principles, Newton binomial formula, inclusion – exclusion principle, pigeonhole principle, recursions, generating f?unctions Graph theory – basic definitions and results, trees, Euler graphs.