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# Calculus I for AE – wi1401LR

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.

 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, 2009 Test 10:00 - 11:30 a.m. Wednesday, January 27, 2010 Examination 09:00 - 12:00 a.m. Monday, April 12, 2010 Resit 02:00 - 05:00 p.m.