Mathematics 1
Course title: Mathematics 1
Code: FEIT08Z001
Number of credits (ECTS): 6
Weekly number of classes: 3+3+0+0
Institute: Mathematics and Physics
Prerequisite for enrollment of the subject: None
Course goals/Competences: To adopt the basic concepts of differential and integral calculus for the real functions of a real variable. To develope analytical thinking, critical skills, learning ability. The obtained knowledge is necessary to study electrical engineering problems.
Total available number of classes: 180
Curriculum: Real numbers, mathematical induction, binomial formula. Infinite sequences of real numbers, limits of the sequences, convergent sequences properties. Real valued functions of one real variable. Differential calculus for single variable functions. Derivative, geometric interpretation of derivative, tangent line, differentials. Techniques of differentiation. Higher order derivatives and differentials. Basic theorems of differential calculus: Rolle's, Fermat's, meanvalue, L'Hospital's and Taylor's theorem. The derivatives in graphing and applications. Integral calculus for single variable functions. Indefinite integral, definite integral, the fundamental theorem of integral calculus. Improper integrals. Applications of definite integral in geometry, science and engineering.
Literature:
Literature 

Compulsory literature 

No. 
Author 
Title 
Publisher 
Year 
1 
N. Tuneski, B. Jolevska – Tuneska 
Differential calculating 

2009 
2 
N. Tuneski, B. Jolevska – Tuneska 
Integral calculating 

2011 
3 
S. GegovskaZajkova, K. HadziVelkovsa Saneva 
Diferential and integral calculating of real functions from one variable 

In print 
Further literature 

No. 
Author 
Title 
Publisher 
Year 
1 
S. GegovskaZajkova, G. Trajkovski, A. Buchkovska 
A collection of solved math exam tasks 1 

1996 
2 
B. Jolevska – Tuneska, S. GegovskaZajkova, E. Hadzieva, K. Saneva, B, NachevskaNastovska 
A collection of solved math exam tasks 2 
UKIM 
2004 