Kies de Nederlandse taal
Course module: 202001171
Calculus A
Course info
Course module202001171
Credits (ECTS)5
Course typeCourse
Language of instructionEnglish
Contact persondr. J.C.W. van Ommeren
ir. J.R. Lanting
R. Michielan
dr. J.C.W. van Ommeren
Contactperson for the course
dr. J.C.W. van Ommeren
A.A. Wierzba
Academic year2022
Starting block
RemarksThis is a pre-master course.
Application procedureYou apply via OSIRIS Student
Registration using OSIRISYes
After this course the student is able to
  • formulate definitions and properties of functions of one variable;
  • calculate limits, for instance to demonstrate continuity or to calculate the derivative with the definition;
  • calculate the derivative of a function, and also to calculate extreme values and inflection points;
  • reproduce the definition of continuity, differentiability and integrability of functions of two variables;
  • reproduce the definition of the partial derivative of a function of two or more variables;
  • apply the chain rule for functions of more than one variable;
  • calculate the directional derivative and the gradient vector, and to apply the rules for the gradient;
  • find the extreme values of functions of more than one variable;
  • work with complex numbers and the complex exponential function;
  • solve first and second order (linear) differential equations.
This course gives the student a basic knowledge of functions of one variable and gives an introduction to functions of two or more variables. It extends the prior knowledge about functions of one variable acquired from second grade education, but can also be used as a repetition of the mathematics that is presented at the Polytechnic University.
Assumed previous knowledge
Mandatory: numbers, basic algebra, elementary functions, trigonometry, differentiation, integration

This course is assumed knowledge for: Calculus B (202001173) Calculus C (202001175) Linear Systems (202001185)
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Required materials
G.B.Thomas, M.D. Weir, J.R. Hass: ‘Thomas’ Calculus, Early Transcendentals’, (special edition for UT). ISBN: 9781784498139
Recommended materials
Instructional modes

Self study with assistance


Written exam

Kies de Nederlandse taal