Mathematics I

Mathematics I

Course title
Mathematics I
Course tag
10003
Semester
1
Course status
Mandatory
ECTS
7
Lectures
45
Practice
30
Independent work
135
Total
210
Teachers and associates
Toni Milun, struč.spec.oec.
Andrej Lacković
Ivan Nađ
Lukrecija Roić
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 field of rational , real numbers . The concept of functions , algebra functions , composition , inverse function . Graphs of elementary functions . Limes features and some significant limits. Matrices , matrix operations , matrix algebra , matrix equation and the inverse matrix , the matrix . Determinants . Linear systems , Gaussian elimination.
Literature:
1. P. Javor, Matematička analiza 1, Element, Zagreb, 2007
2. N. Elezović, Linearna algebra, Element, Zagreb, 1995.
Supplementary literature
B.P. Demidović, Zadaci i rješeni primjeri iz više matematike, Danjar, Zagreb, 1995.

Minimum learning outcomes

  1. Calculate basic operations on sets and display sets and operations Venn diagrams.
  2. Analyze the elementary functions , sketch graphs of elementary functions , and calculate the domain of basic and complex functions.
  3. Solve basic operations with matrices. Calculate determintu matrix.
  4. Solve systems of linear equations using appropriate methods.

Preferred learning outcomes

  1. Write power set and partition together and examine the properties of operations on sets.
  2. Compute the inverse function , and confirm the inverse A composition of the function itself and its inverse.
  3. Select feature matrix or determinate , and this property is used in the calculation of more complex tasks.
  4. To analyze the design of the system of linear equations.