Mathematics I

Mathematics 1

Course title
Mathematics 1
Course tag
11003
Semester
1
Course status
Mandatory
ECTS
6
Lectures
30
Practice
30
Independent work
120
Total
180
Teachers and associates
Toni Milun, Senior Lecturer
Aleksandar Hatzivelkos, Lecturer
Željka Knezović, Lecturer
Hrvoje Kovač, Instructor
Ivan Nađ, Instructor
The course aims
Adoption of the material provided for the curriculum , and it serves the achievement of knowledge and skills to work independently and also as a good preparation for the successful continuation of the study . Analyzing the real problems and create the appropriate mathematical model and critical review of the results obtained.
Content
Theory. The concept of functions, algebra functions, composition, inverse function. Graphs of elementary functions. Limes features and some significant limits. The field of rational, real numbers. Arithmetics and geometric sequences. Matrices, matrix operations, matrix algebra, matrix equation and the inverse matrix. Determinants. Linear systems, Gaussian elimination.
Literature:
Course handbook prepared and printed by Algebra University College
Supplementary literature
B.P. Demidovič, Zadaci i riješeni primjeri iz više matematike, Danjar, Zagreb, 1995.

Minimum learning outcomes

  1. Analyze the elementary functions, sketch graphs of elementary functions, and calculate the domain of basic and complex functions.
  2. Calculate inverse functions. Calculate the default function limes.
  3. Calculate basic operations on sets and display sets and operations Venn diagrams. Calculate the arithmetic and geometric series.
  4. Solve basic operations with matrices. Calculate determinant of matrix. Solve systems of linear equations using appropriate methods.

Preferred learning outcomes

  1. Choose a suitable function for modeling a mathematical or physical problem.
  2. Calculate the inverse complex functions, and confirm the inverse composition of the function itself and its inversion. Calculate limit of complex functions.
  3. Write power set and partition together and examine the properties of operations on sets. Calculate more complex examples of arithmetic and geometric sequences.
  4. To analyze the design of the system of linear equations.