Courses

מתמטיקה - מכינה בדרך לאפקה (7202)

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)

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)

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.

אלגברה ליניארית (90905)

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.