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 Course module: 202001212
 202001212Calculus 1
 Course info
Course module202001212
Credits (ECTS)4
Course typeStudy Unit
Language of instructionEnglish
Contact persondr. T.S. Craig
E-mailt.s.craig@utwente.nl
Lecturer(s)
 Previous 1-5 of 96-9 of 9 Next 4
 Examiner dr. T. Akkaya Lecturer dr. T. Akkaya Examiner dr.ir. A. Braaksma Contactperson for the course dr. T.S. Craig Lecturer dr. T.S. Craig
Starting block
 1A
Application procedureYou apply via OSIRIS Student
Registration using OSIRISYes
 Aims
 body { font-size: 9pt; font-family: Arial } table { font-size: 9pt; font-family: Arial } The student will: •         have a thorough understanding of calculus with emphasis on differentiation and solving first and second order ordinary differential equations. •         be able to perform arithmetic with complex numbers, work with complex valued polynomials and create and interpret Argand diagrams. •         be proficient with vector manipulation and the geometry of 3-d space, including lines and planes. •         understand core mathematical concepts and discourse such as sets, logic and methods of proving.
 Content
 body { font-size: 9pt; font-family: Arial } table { font-size: 9pt; font-family: Arial } The course Calculus 1 for AT and EE begins with differential equations (DEs). Differential equations are essential in mathematical modelling. We shall look at typical first and second order ordinary differential equations and how to solve them. In order to solve certain types of differential equations, we require complex numbers, so we shall cover the basics of complex numbers and how they are involved with DEs. We take the Argand plane depiction of Complex numbers and segue into vector analysis. Vectors are of vital importance in any scientific study involving physics or engineering. We shall cover essential vector arithmetic and geometry, including lines and planes. We complete the course with an overview on limits, continuity and differentiation. These topics first seen in high school benefit from a fresh look, including related ideas such as L’Hospital’s rule. Throughout the course we shall make repeated reference to mathematical language such as sets, logic and proving. We shall use this mathematical language in contexts related to calculus.
Assumed previous knowledge
 Secondary school mathematics up to and including an introduction to calculus.
 Module
 Module 1
 Participating study
Required materials
Book
 Adams, R.A. and Essex, C. (2018).Calculus: A Complete Course, 9th Edition. Pearson. ISBN: 9780134154367
 University of Twente book: Introduction to Mathematics. (Book 510)
Recommended materials
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Instructional modes
Assessment
 Presence duty Yes

Lecture
 Presence duty Yes

Self study with assistance
 Presence duty Yes

Self study without assistance

Tutorial
 Presence duty Yes

Tests
 Calculus 1RemarkClosed book, written test
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