Mathematics II

Mathematics II

Course title
Mathematics II
Course tag
10008
Semester
2
Course status
Mandatory
ECTS
5
Lectures
30
Practice
30
Independent work
90
Total
150
Teachers and associates
Toni Milun, Lecturer
Iva Golubić, Lecturer
Željka Knezović, Lecturer
Andrej Lacković, Lecturer
Lukrecija Roić, Instructor
The course aims
Adoption of material covered by the curriculum used in order to obtain knowledge and skills required for independent work and as a good preparation for successful continuation of the study program. Analyze real problems and create appropriate mathematical models and critical reviews of results obtained.
Content
Students will learn the basics of differential calculus including rules of derivation, first and higher order derivative, derivative of composition and inverse function and derivative of parametric function. Application of differential calculus (condition of monotony, extremes of functions, inflection points, L'Hospital's rule, asymptotes). In addition to the differential calculus, students will learn the basics of integral calculus including indefinite integral, method of substitution, method of partial integration. The application of integral calculus (definite integral, Newton-Leibnitz formula, area under the curve, surface and volume of the turntable).
Literature:
Supplementary literature

Minimum learning outcomes

  1. To define the rules of elementary derivation and to be able to apply them on function composition derivations and implicitly and parameter-defined functions.
  2. To apply differential calculus when determining characteristic parameters for drawing a function graph.
  3. To define basic features of an indefinite integral and to use the substitution and partial integration method to solve tasks.
  4. To define definite integral and to use Newton-Leibnitz formula for calculating surfaces under the curves and rotation bodies' volumes.

Preferred learning outcomes

  1. To calculate higher degree derivations and to interpret the application of the first derivation.
  2. To relate the calculated parameters characteristic for the function graph and to draw the function graph.
  3. To calculate the indefinite integral of rational functions.
  4. To apply the substitution and partial integration method to the arc length of the curve and the rotation surface.