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Calculus 2

2018-2019
Dit vak wordt in het Engels aangeboden. Omschrijvingen kunnen daardoor mogelijk alleen in het Engels worden weergegeven.

Doel vak

At the end of this course the student is able to
a) determine if a series is convergent or divergent, using several tests
(like the comparison test, ratio test, alternating series test)
b) work with power series (find the radius of convergence, differentiate
or integrate termwise)
c) find the Taylor series of several functions (like exp(x), sin(x),
cos(x), ln(1+x), etc)
d) calculate partial derivatives, also using the chain rule
e) find extreme values of functions of two variables, with and without
contraints
f) calculate with complex numbers
g) solve several first- and second-order differential equations
(separable equations, first-order linear equations, second-order linear
equations with constant coefficients).

Inhoud vak

Series, Real functions of Several Variables, Differential equations.
Topics that will be treated are:
1) Sequences, Series, Power Series, Taylor Series
2) Partial Derivatives, Chain Rule, Gradients
3) Extreme Values, Lagrange Multiplier method
4) Double Integrals, Polar Coordinates
5) Complex Numbers
6) First and Second Order Differential Equations

Onderwijsvorm

Lectures (3x per week) and tutorials (2x per week)

Toetsvorm

Midterm exam and Final exam. More details can be found in the manual on
Canvas.

Literatuur

Adams and Essex, Calculus: A Complete Course, 9th edition, Pearson 2018,
ISBN-10: 0134154363 • ISBN-13: 9780134154367.

1 BA

Overige informatie

Participation in the working classes is compulsory! Detailed rules will
be announced in the manual on Canvas.

Calculus 1

Algemene informatie

Vakcode X_400636 6 EC P2 100 Engels Faculteit der Bètawetenschappen dr. ir. R.F. Swarttouw dr. ir. R.F. Swarttouw dr. ir. R.F. Swarttouw

Praktische informatie

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