| NAME OF THE COURSE |
Mathematics 1 |
|---|
Code |
|
Course teacher |
ScM Branka Gotovac |
Credits (ECTS) |
7.0 |
|
Associate teachers |
Lucija Ružman |
Type of instruction (number of hours) |
|
|
Status of the course |
Mandatory |
Percentage of application of e-learning |
0 % |
|
| COURSE DESCRIPTION |
Course objectives |
To introduce students to the basic elements of calculus and linear algebra. |
Course enrolment requirements and entry competences required for the course |
|
Learning outcomes expected at the level of the course (4 to 10 learning outcomes) |
After finishing this course the student is expected to be able to:
- identify and sketch graphs of elementary functions, to determine the domain of the given function
- find the derivative of the given function
- apply the dervative in practice (tangents and normals, maximum, minimum and inflection points) and to interpret the shape of graphs
- solve the system of linear equations (by matrix inversion, by Gaussian elimination) |
Course content broken down in detail by weekly class schedule (syllabus) |
1. Sets: Notion. Algebra of sets. Sets of numbers.
2. Functions: Notion. Composite functions. Inverse function.
3. Elementary functions.
4. Functions: Limits. Continuity.
5. Derivative and application: Notion. Interpretation. Derivative techniques.
6. Differential. Higher order derivatives.
7. Theorems of differential calculus. Maximum, minimum points.
8. Inflection points. Asymptotes. Graphs sketching.
9. Sequences: Notion. Limits.
10. Series: Convergence of numeric series. Power series. Taylor series.
11. Matrices and vectors: Matrix algebra. Determinants. Inverse matrix.
12. Linear systems of equations.
13. Vector algebra.
14. Solid analityc geometry.
15. Course review. Revision. |
Format of instruction: |
|
Student responsibilities |
Regular attendance of classes. |
Screening student work (name the proportion of ECTS credits for eachactivity so that the total number of ECTS credits is equal to the ECTS value of the course): |
Class attendance |
2.6 |
Research |
0.0 |
Practical training |
0.0 |
Experimental work |
0.0 |
Report |
0.0 |
|
|
Essay |
0.0 |
Seminar essay |
0.0 |
|
|
Tests |
1.8 |
Oral exam |
1.3 |
|
|
Written exam |
1.3 |
Project |
0.0 |
|
|
|
Grading and evaluating student work in class and at the final exam |
Examination: either by continuously checking and grading students’ progress during the semester or in exam terms by passing written and oral exam.
At the beginning of the course students will be informed of in detail elaborated rules for both models of examination. |
Required literature (available in the library and via other media) |
Title |
Number of copies in the library |
Availability via other media |
T. Bradić, R. Roki et. al., Matematika za tehnološke fakultete, Element, Zagreb (više izdanja) |
47 |
|
B.P. Demidovič, Zadaci i riješeni primjeri iz više matematike, Tehnička knjiga, Zagreb (više izdanja) |
5 |
|
I. Slapničar, Matematika 1, Fakultet elektrotehnike, strojarstva i brodogradnje u Splitu, Sveučilište u Splitu, Split, 2002. |
0 |
http://lavica.fesb.hr/mat1 |
|
Optional literature (at the time of submission of study programme proposal) |
S. Kurepa, Matematička analiza I i II dio, Školska knjiga, Zagreb, 1997.
L. Krnić, Z. Šikić, Račun diferencijalni i integralni, I dio, Školska knjiga, Zagreb, 1992.
Hughes-Hallett, Gleason et al., Calculus, John Wiley and Sons, Inc., New York, 2000.
|
Quality assurance methods that ensure the acquisition of exit competences |
Quality assurance will be performed at three levels:
(1) University Level; (2) Faculty Level by Quality Control Committee; (3) Lecturer’s Level. |
Other (as the proposer wishes to add) |
|
