Calculus for Computing Science
Faculteit  Science and Engineering 
Jaar  2017/18 
Vakcode  WPMA14001 
Vaknaam  Calculus for Computing Science 
Niveau(s)  propedeuse 
Voertaal  Engels 
Periode  semester I b 
ECTS  5 
Rooster  rooster.rug.nl 
Uitgebreide vaknaam  Calculus for Computing Science  
Leerdoelen  Knows the basic elements, methods and applications of single variable Calculus with respect to functions differentiation Taylor expansions integration complex numbers differential equations (general 1st order, linear 2nd order) 

Omschrijving  The course starts with refreshing and improving the basic mathematical skills (BMS). Then real functions of one real variable are treated: standard and composed functions, models, limits, derivatives, extrema, Taylor expansions, integration (applications and techniques). Subsequently complex numbers are introduced, an imaginary extensions of the real numbers. Finally, differential equations are solved to describe processes in physics, economy, medical sciences, etc. This topic includes: initial value problems, directional fields, equilibrium and stability, separation of variables, variation of constants, homogeneous and inhomogeneous systems, Euler's method, conversion of complex solutions into realvalued solutions. The material is illustrated through examples that focus on the applications of mathematical techniques. 

Uren per week  
Onderwijsvorm 
Hoorcollege (LC), Werkcollege (T)
(Lectures, tutorials, computerassisted tutorials to improve basic mathematical skills.) 

Toetsvorm 
Opdracht (AST), Schriftelijk tentamen (WE), Tussentoets (IT)
(The grade for this course is composed of the grades for homework HW, the midterm exam MT and final exam ET: grade = (3*ET + MT + HW)/5), with constraint that ET should be larger than 4.5. After the regular teaching and examination period, the benefits of HW and MT expire. The final grade then equals the grade for the reexamination. There are 2 exams to test the Basic Mathematical Skills (BMS). The grade for BMS will be included in the grade ET of the final exam.) 

Vaksoort  propedeuse  
Coördinator  prof. dr. R.F. Peletier  
Docent(en)  prof. dr. R.F. Peletier  
Verplichte literatuur 


Entreevoorwaarden  
Opmerkingen  Please note that although this course covers the same topics as the course Calculus for AI, these subjects are treated more in depth in Calculus for CS. Therefore, the Board of Examiners of CS will not accept taking the course Calculus for AI as a replacement for the course Calculus for CS.  
Opgenomen in 
