Lecturer Mrs. Nagar Iris

Courses

  • קורס הכנה מתמטיקה (7012)
  • 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.
  • מתמטיקה - מכינה בדרך לאפקה (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.
  • מתמטיקה1 - מכינה בדרך לאפקה (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.
  • חשבון דיפרנציאלי אי (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'H?pital'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.
  • חשבון דיפרנציאלי אי (90902)
  • תקציר הקורס:

    Abstract:

    Infinite series. Convergence tests. Series of f?unctions; convergence; (uniform convergence-optional). Power series; representation of f?unction by power series. Taylor series. F?unctions of several variables- limits and continuity, partial and directional derivatives. Linear approximation. Gradient. The chain rule. Higher order partial derivatives and second-degree Taylor polynomial. Relative/absolute maximum and minimum values. Lagrange multipliers. Multiple integrals. Fubini's theorem. Change of variables and Jacobian. Polar, cylindrical and spherical coordinates. Line integrals of scalar f?unctions. Line integrals of vector fields. Independence of path and Green’s theorem. Surface integrals of scalar f?unctions. Oriented surfaces and surface integrals of vector fields. The divergence theorem (Gauss-Ostrogradsky). Stokes' theorem. Applications.