Faculteit  Science and Engineering 
Jaar  2022/23 
Vakcode  WBIE00305 
Vaknaam  Calculus 1 (for IEM) 
Niveau(s)  propedeuse 
Voertaal  Engels 
Periode  semester I a 
ECTS  5 
Rooster  rooster.rug.nl 
Uitgebreide vaknaam  Calculus 1 (for IEM)  
Leerdoelen  After completing this course students should be able to:


Omschrijving  The course starts by refreshing and improving the basic mathematical skills (BMS); in the first month of the course a remedial exam is taken. This BMS exam and the relevant practice problems will use the SOWISO digital learning environment. The course will then treat: real functions of one real variable, standard transcendental functions, compositions, limits, derivatives, extreme values, Taylor expansions, integrals, complex numbers, and finally, ordinary differential equations (ODE's). ODE's will cover initial value problems, directional fields, equilibrium solutions and stability, separation of variables, variation of constants, homogeneous and inhomogeneous linear equations. The material is illustrated through examples that focus on the applications of mathematical techniques.  
Uren per week  
Onderwijsvorm  Hoorcollege (LC), Werkcollege (T)  
Toetsvorm 
Opdracht (AST), Schriftelijk tentamen (WE), Tussentoets (IT)
(See remarks for grading.) 

Vaksoort  propedeuse  
Coördinator  A.M.S. Waters, PhD.  
Docent(en)  A.M.S. Waters, PhD.  
Verplichte literatuur 


Entreevoorwaarden  The course unit assumes only prior knowledge acquired from Mathematics B as taught in preuniversity programmes (VWO) on Dutch secondary schools (or equivalent).  
Opmerkingen  Grading of the course: B = the mark of the remedial BMS exam FE = the mark of the final exam M = the mark of the midterm exam H = the average mark of the homework assignments C = 0.85 FE + 0.15 B ———————————————————————— If FE < 4.5 then the final mark is FE. If C < 5.5, then the final mark is C. Otherwise, the final mark is max(C, 0.75 C + 0.25 M, 0.75 C + 0.25 H, 0.7 C + 0.15 M + 0.15 H). A detailed explanation of the grading is provided in the course syllabus which will be published on Brightspace. The course unit prepares students for the course units Linear Algebra and Calculus 2 in which the learning objectives attained are recommended as prior knowledge. This course was previously registered with course code WPMA18003 

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