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Course module: 202001539
202001539
Atlas Math A: Multivariate functions and optimisation
Course info
Course module202001539
Credits (ECTS)2
Course typeCourse
Language of instructionEnglish
Contact persondr.ir. M. Streng
E-mailm.streng@utwente.nl
Lecturer(s)
Examiner
dr. G. Kittou
Examiner
dr.ir. M. Streng
Contactperson for the course
dr.ir. M. Streng
Academic year2022
Starting block
2A
RemarksATLAS Elective (semester 2 )
Application procedure-
Registration using OSIRISYes
Aims
"On completion of the course the student shall be able to:
  1. Define multivariable functions algebraically, graphically and visually.
  2. Evaluate and interpret derivatives of functions of two or more variables.
  3. Classify critical points of two variable functions and interpret them geometrically.
  4. Use Lagrange multipliers to solve optimization problems


 
Content
"This course covers the topic of functions of several variables and extend the basic ideas of single variable calculus (domain, limits, continuity, differentiation)  to such functions. Multivariable functions are essential to describe physical  or real life phenomena in domains like Epidemiology, Population Biology and Ecology, Thermodynamics, Electromagnetism and Economics.
The course will be taught in the first quartile of Semester 2 and will be 2 ECs.
There will be lectures on weekly basis (1 lecture per week) with a final project as a deliverable. "

 
Assumed previous knowledge
Calculus and differential equations
Participating study
Bachelor Technology and Liberal Arts & Sciences
Required materials
-
Recommended materials
Book
Stewart: Calculus, early transcendentals, 8th edition
Instructional modes
Other
Presence dutyYes

Tests
Test 1

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Kies de Nederlandse taal