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Kies de Nederlandse taal
Course module: 202001171
202001171
Calculus A
Course infoSchedule
Course module202001171
Credits (ECTS)5
Course typeCourse
Language of instructionEnglish
Contact persondr. J.C.W. van Ommeren
E-mailj.c.w.vanommeren@utwente.nl
Lecturer(s)
Lecturer
dr. T.A. Leonida
Contactperson for the course
dr. J.C.W. van Ommeren
Examiner
dr. J.C.W. van Ommeren
Academic year2020
Starting block
1A
Application procedureYou apply via OSIRIS Student
Registration using OSIRISYes
Aims
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;
  • solve first and second order (linear) differential equations.
Content
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 funcions, trigonometry, differentiation, integration

Assumed knowledge for: Calculus B (202001173) Calculus C (202001175) Linear Systems (202001185)
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Required materials
Book
Thomas' Calculus, early transcendentals, G.B. Thomas, M.D. Weir and J.R.Hass New International Edition, ISBN 9781787260702
Recommended materials
-
Instructional modes
Lecture

Self study with assistance

Tutorial

Tests
Written exam

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Kies de Nederlandse taal