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Calculus I for AE

Calculus I for AE – wi1401LR


Cover of the book

The book which will be used in this course is:

James Stewart: Calculus, Early Transcendentals
Sixth Edition, Thomson Brooks/Cole, 2008.
Metric International Version,
ISBN-10: 0-495-38273-6,
ISBN-13: 978-0-495-38273-7.
See also: www.stewartcalculus.com.



Contents: Semester 1A:
  • vectors and geometry of space
    • dot product
    • cross product
  • inverse trigonometric functions
  • chain rule
  • implicit differentiation
  • linear approximations and differentials
  • integration techniques (substitution rule and partial integration)
  • improper integrals
  • first order differential equation (separable and linear differential equations)
  • complex numbers
Semester 1B:
  • second order linear differential equations with constant coefficients (method of undetermined coefficients)
  • infinite sequences and series
    • (absolute) convergence and divergence
    • ratio test
    • power series
    • Taylor series and Taylor polynomials
    • binomial series
  • vector functions
    • arc length
  • functions of several variables
    • limits and continuity
    • partial derivatives
    • tangent planes and linear approximations
Credits:6 EC
Examination:A 3-hour written examination (see also the examination and bonus regulation)
Schedule:Click here for the working schedules per quarter
Maple:The software package Maple can be used as an aid

Supplementary material (in de form of pdf-documents):

Shadow:The lamp and the shadow (Stewart, §3.5: exercise 69)
Equalities:Remarkable equalities (Stewart, §3.5: exercise 50 and §4.2: exercise 32 and 33)
Fibonacci:The sequence of Fibonacci (Stewart, §11.1: example 3(c) and exercise 71) See also the Maple worksheet Fibonacci.mws or the HTML-version of it


Moreover, here you will find a collection of examinations and solutions

During the examinations you may use the following table of standard formulas: formulae sheet (pdf)


Interim Examinations Calculus I for AE in the academic year 2009-2010


Friday, October 30, 2009Test10:00 - 11:30 a.m.
Wednesday, January 27, 2010Examination09:00 - 12:00 a.m.
Monday, April 12, 2010Resit02:00 - 05:00 p.m.


Osiris


Last modified on November 25, 2009

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