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.
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.
The objective of the course is to impart students with the tools required for studying advanced technological and mathematical professions, and specifically differential equations, numerical analysis, compound functions, linear planning, etc. During the course, students learn methods for solving linear equation systems, matrix and determinants theory, fundamental terminology in vector planes and linear transformations. The introductory section of the course is dedicated to the plane of compound numbers. This course is studied in the framework of the 1st year program, during the first semester throughout the various departments.
Engineering Mathematics 1
Fourier analysis is an important tool for describing and analyzing significant processes in electrical engineering and electronics and mechanical engineering. The objective of the courses "Engineering Mathematics 1" and "Engineering Mathematics for Mechanical Engineering" is to impart students with a base in Fourier analysis and partial differential equations. The courses include the development of functions for Fourier series, foundations and usages of Fourier transformation, and sorting of partial differential equations and solving them through using a method of separating variables. Students from the department of electronics and electrical engineering also learn the foundations of internal multiplication plane, normalized plane and orthogonal systems. Both courses are studied in the framework of the second year program, for the duration of one 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.
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.
Introduction to Differential Equations and Compound Functions
During this course, students learn about the foundations of regular differential functions and analytical functions. The course is intended for 2nd year students in the software engineering department. The main topics of this course are as follows:
- Selected methods for solving differential equations of the first and second degree, beginning problems, language problems, linear differential equations of the "n" degree, step functions, delta-functions, transformation sentences and differential equation systems.
- Elementary compound functions, boundary, continuity, derivative, analytical functions, harmonious functions, compound plane integration, singular Laurent and Taylor series, residue theorem.
Introduction to Mathematics
This course is intended for students who were required to take it as part of their terms for admission. The course imparts students with a knowledge base equivalent to 5 points in high school mathematics. Every year, introduction courses such as this are conducted as needed. Students are required to complete this obligation by the first semester of their 1st year of studies (at the latest), unless the departmental teaching committee has granted them an approval for a later date. Most of the departments require their students to complete the introductory courses to mathematics prior to their academic studies. If necessary, these courses will be conducted during the summer months, according to SCE scheduling. In order to successfully pass this course, students must achieve a grade of at least 70 in the final exam for all departments (with the exception of the electronics and engineering department, which requires a passing grade of 75), as well as at least 80% attendance of lectures and exercise sessions.
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.