# Program

The mathematics program studied during engineering studies is an academic program that is suited for the various engineering disciplines, and it is conducted in accordance with the goals and requirements of each department. The objective of this program is to impart students with mathematical tools needed for system analysis and engineering planning.

__The study program includes the following courses:__

**Differential and Integral Calculus**

The calculus courses impart students with the terminology and tools required for the precise mathematical description and examination of physical phenomena occurring in nature. These courses provide a mathematical base that serves the students throughout their further engineering courses and in other courses.

Calculus 1, Calculus 1a – The course deals with the examination of the dependence of two variables

Calculus 2, Calculus 2a - – The course deals with the examination of the dependence of two variables or more

Both courses are studied as part of the 1st year studies in the various departments.

Calculus 1 for Software Engineering - In the course students, learn the properties of functions of one variable, the methods of finding limits, methods of differentiation and integration. The course provides students with the ability to use the methods taught to understand mathematical definitions and to proof mathematical statements.

Calculus 2 for Software Engineering - The course provides the students with the basics of number and power series, analytic geometry in space, functions of several variables, double integrals. One of the goals is to develop a student ability to comprehend a mathematical definition and to prove simple mathematical statements by themselves.

**Differential Equations**

The objective of the course is to impart basic terms in the theory of regular differential equations and practicing its main methods. As part of this course, the student will acquire knowledge regarding the fundamental questions of this theory, as a central profession of mathematical analysis. The course is also supposed to enable its graduates to use the various techniques of the theory as a vital tool for physical and technological sciences. As part of the course, students will learn first and second order differential equations, equations of a high degree that can be lowered through variable changing, linear differential equations with constant factors of a random order, linear differential equation systems, transformation to a scale and its uses in solving difficulty problems, assembly of differential equations and using them in mathematics and technological professions. The course is studied in the first semester of the 1st year, and the first semester in the 2nd year in the different departments, for the duration of one semester.

**Linear Algebra **

The objective of the course is to impart students with the tools required for studying advanced technological and mathematical professions; in particular, differential equations, numerical analysis, complex functions, and linear planning. During the course, students learn methods for solving linear equation systems, matrix theory, fundamental terminology in vector spaces and linear transformations. The introductory section of the course is dedicated to the complex numbers. This course is studied in the framework of the 1st year program, during the first semester throughout the various departments.

**Engineering Mathematics for Electrical Engineering**

The course is devoted to the basics of Fourier analysis, partial differential equations and inner product spaces. The students will gain a fundamental understanding of Fourier series expansions, Fourier transform properties and its application, classiﬁcation of partial diﬀerential equations, some classic PDEs (such as the wave and heat equations), method of separation of variables for solving PDEs, inner product spaces, norm and orthogonal systems. The course is taught for the second year students in the autumn semester.

**Probability and Statistics**

Not all phenomena occurring in nature, life and the industry are predictable (such as the weather, a person's lifespan, market demand for a product, etc.). However, many areas require the assessment of random occurrences such as these, in order to know how to make correct decisions in the context of undeniably "undefined" conditions.

In order to solve these issues, mathematicians have developed the probability and statistical theory. The theory of probability provides a theoretical base for dealing with random occurrences, while statistics deals with the processing of statistical data and decision making based on the acquired data. This is an important and useful course that can be instrumental for many areas, including science and technology, industry and economics, as well as medicine and education. The course is studies during the 1st and 2nd years, according to the program of each department.

**Compound Functions for Electronics**

Compound numbers that initially appeared for the purpose of solving algebraic equations and were not originally connected to reality have become over time a critical means for solving various problems in the theory of electricity, aerodynamics, the theory of heat and various other scientific professions. During this course, students learn about the principles of compound functions, compound integrals, Laurent series, integral calculations using residues, and conformity duplications and their use in electronics.

**Vector Analysis**

During this course, students acquire mathematical and thinking tools for their continued study of technological professions and for advanced courses in electricity and electronics and mechanical engineering. This course teaches linear and special integrals, elementary sentences of vector analysis, elements of plane theory and their uses in solving various problems in the vector plane theory. This course is studied in the framework of the 2nd year in the electronics and electrical engineering department and in the mechanical engineering department, for the duration of one semester.

**Logic and discrete subjects 2**

This is a relatively new mathematics discipline that was developed during the 20th century. This field provides a mathematical base for programming and computer sciences. In addition, this field makes use of methods and models of discreet mathematics in various areas of science and technology. The course is intended for 1st year students studying in the software engineering department.

**Applied Mathematics for Engineering**

The course aims to provide the students with an introduction to fundamental tools of applied mathematics, necessary for basic and advanced technological courses.The course syllabus includes the basics of vector analysis, Fourier analysis, and partial differential equations. The students will learn the main definitions and methods of vector field theory, line integrals, Stokes and Gauss theorems, representation of functions by Fourier series, Fourier transform and its applications, and solution of partial differential equations by Fourier method. The course is taught for the second year students in the spring semester.

**Introduction to Numerical Analysis**

This course teaches numerical methods for solving various mathematical problems, including: circular errors in numerical calculations, solving non-linear equations, various approximations (interpolation, tapline???, minimal squares), numerical integration, numerical derivative, solving linear equation systems, independent vector values, solving complexity problems and language problems.