- 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.
- Differential And Integral Calculus2 (90902)
תקציר הקורס:
Abstract:
Infinite series. Convergence tests. Series of f?unctions; convergence and uniform convergence. Power series; representation of functions by power series. Taylor series. F?unctionsof 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. Polar, cylindrical and spherical coordinates. Line integrals of scalar f?unctions. Line integrals of vector fields. Independence of path and Green theorem. Surface integrals of scalar f?unctions. Oriented surfaces and surface integrals of vector fields. The divergence theorem (Gauss-Ostrogradsky). Stokes' theorem. Applications.