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Courses

  • Preparation Course Mathematics (7202)
    • תקציר הקורס:

    Abstract:

    This course contains review on algebraic operations,

    solution of inequalities, solution of equations with parameters,

    investigation of linear and quadratic equations. Definition of

    the exponential func tion and the logarithm and their properties.

    In addition, mathematical induction is studied and complex numbers,

    elementary introduction in geometry and trigonometric identities.

    The course also includes elementary concepts in

    differential and integral calculus.
  • Preparation Course Mathematics1 (7212)
    • תקציר הקורס:

    Abstract:

    This course contains review on algebraic operations,

    solution of inequalities, solution of equations with parameters,

    investigation of linear and quadratic equations.

    Definition of the exponential func tion and the logarithm

    and their properties. In addition, mathematical induction is

    studied and complex numbers, elementary introduction in geometry

    and trigonometric identities.

    The course also includes elementary concepts in differential

    and integral calculus.
  • Differential And Integral Calculus1 (90901)
    • תקציר הקורס:

    Abstract:

    Real numbers. Sequences. Limit of a sequence. Limits and continuity of f?unctions. Intermediate value theorem. Weierstrass's theorem. The derivative. Techniques of differentiation. Fermat, Rolle and Lagrange theorems. L'Hopital's rule. Taylor polynomial approximations. The derivative in graphing and applications. The definite and indefinite integral. Principles on integral evaluation: integration by parts and by substitution. The fundamental theorem of calculus (Newton-Leibniz). Improper integral.
  • Linear Algebra (90905)
    • תקציר הקורס:

    Abstract:

    The first part of the course is dedicated to study of techniques for

    solving systems of linear equations. Several basic methods are presented:

    Gauss elimination, matrix solution, Cramer rule.

    The last two methods involve matrix arithmetic,

    which is also presented in this part. The second part discusses vector spaces and linear transformations. Most attention is given

    to the matrix approach. Matrix diagonalization issues summarize this part.

    The last part of the course study inner product spaces and their basic properties.
  • 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.
  • Discrete Mathematics IBL (90955)
    • תקציר הקורס:

    Abstract:

    Introduction to Logic - basic concepts, Set Theory, Relations, Equivalence Relations, Order Relations, Induction, f?unctions, Cardinality, Combinatorics, Newton's Binom, Inclusion-Exclution, Pigeon hole principal, Recursion, generating f?unctions and Introduction to Graph Theory