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Quantitative methods for agriculture and environment science (169512)

ECTS bodovi 3.00
Sati nastave 30
Predavanja 20
Auditorne vježbe 10
Izvođač predavanja
doc. dr. sc. Biserka Kolarec
Izvođač vježbi
doc. dr. sc. Biserka Kolarec
Dovoljan (2) 60-70 %
Dobar (3) 71-80 %
Vrlo dobar (4) 81 -90%
Izvrstan (5) 91-100%

Nositelj predmeta

doc. dr. sc. Biserka Kolarec
doc. dr. sc. Biserka Kolarec

Opis predmeta

Calculus: Exploring of mathematical approaches and solutions that cut across agriculture and environmental disciplines and introducing of analytical techniques that are thought infrequently in other courses. The goal is to provide students with the tools and confidence they need to apply quantitative methods in their own research (differential and integral calculus, multivariable calculus, with examples and applications from the environmental sciences).

Vrsta predmeta

Opće kompetencije

This course introduces the use of quantitative methods in environmental analysis. Students will learn how to apply basic principles of natural science to a variety of globally important problems.

Oblici nastave

  • Auditory Exercises
  • Lectures
  • Practicum

Ishodi učenja i način provjere

Ishod učenja Način provjere
have working knowledge of basic concepts, methods and techniques from calculus; exam, practical work, project
be able to apply mathematical knowledge, insights and methods to solve basic problems in life sciences (agriculture and environment) using a systematic approach; exam, practical work, project
be able to critically reflect upon the results; exam, practical work, project
be able to interpret the results in terms of the problem that was modelled mathematically; exam, practical work, project
be able to use mathematical software in elaborating mathematical models. exam, practical work, project

Način rada

Obaveze nastavnika

1. Course planning
2. Selection and creation of teaching materials
3. Evaluation of course, teaching materials and curriculum
4. Construct tests
5. Grade students on the basis of their achievement

Obaveze studenta

1. Attend lectures regularly
2. Do homeworks and participate actively during lectures
3. Write tests and win at least 25% of points on each test to get the signature
4. Do individual projects

Polaganje ispita

Elementi praćenja Maksimalno bodova ili udio u ocjeni Bodovna skala ocjena Ocjena Broj sati izravne nastave Ukupni broj sati rada prosječnog studenta ECTS bodovi
1st exam 40 % 14 20 1
2nd exam 30 % 8 20 1
3rd exam 30 % 8 20 1
activity up to 10 %
Total 100 % 30 60 3
Elementi praćenja Opis Rok Nadoknada
3rd Exam functions of several variables 16th week

Tjedni plan nastave

  1. Introduction L - Survey of elementary functions. Real functions of one real variable
  2. Differential of a function L - Limit, derivative, interpretations of derivative, differential of a function, tabular differentiation
  3. Differentiation techniques E - Differentiation techniques, higher order derivatives
  4. Minimum and maximum problems I L+E - Applications to minimum and maximum problems
  5. Minimum and maximum problems II E - Exercises on minimum and maximum problems
  6. Integration I L - Definite and indefinite integrals, Newton-Leibnitz formula
  7. Integration II E - Methods of finding indefinite integrals
  8. Differential equations I L - Basic concepts and methods of solving
  9. Differential equations II L+E - Methods of solving
  10. Differential equations III E - Solving differential equations
  11. Matrix algebra I L - Survey of matrix algebra, determinants, eigenvalues and eigenvectors
  12. Matrix algebra II E - Exercises on matrix algebra
  13. Functions of several variables I L - Partial derivatives and differentials of functions of several variables
  14. Functions of several variables II L+E - Maximum and minimum of functions of several variables
  15. Functions of several variables III E - Exercises on maximum and minimum of functions of several variables

Obvezna literatura

  1. K. Sydsaeter, P. J. Hammond: Mathematics for Economic Analysis, Prentice Hall, 2002
  2. K. Sydsaeter, P. J. Hammond, A. Seierstad, A. Strom: Further Mathematics for Economic Analysis, Prentice Hall, 2008

Preporučena literatura

  1. M. W. Klein: Mathematical methods for economics, Pearson Education, 2002.

Sličan predmet na srodnim sveučilištima

  • Mathematik, BOKU, Wien
  • Mathematik und Statistik, Agricultural Sciences, University of Hohenheim