Algemene informatie
| Vakcode | X_400636 |
|---|---|
| Studiepunten | 6 EC |
| Periode | P2 |
| Vakniveau | 100 |
| Onderwijstaal | Engels |
| Faculteit | Faculteit der Bètawetenschappen |
| Vakcoördinator | dr. S.D. Barthel |
| Examinator | dr. S.D. Barthel |
| Docenten |
dr. S.D. Barthel |
|
Onderdeel van opleiding(en)
Bachelor
Premaster
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Praktische informatie
Voor dit vak moet je zelf intekenen. De inteken- en afmeldtermijnen staan op VU.nl
| Onderwijsvorm | Werkcollege*, Deeltentamen schriftelijk, Hoorcollege |
|---|
*Voor deze onderwijsvorm kun je geen groep kiezen, je wordt hiervoor ingedeeld.
Doelgroepen
Dit vak is ook toegankelijk als:
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 toa) 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 dot products, cross products, vector projections, distances
in R^3
e) calculate partial derivatives, also using the chain rule
f) find extreme values of functions of two variables, with and without
constraints
g) compute double integrals, also using polar coordinates
g) calculate with complex numbers
h) solve several first- and second-order differential equations
(separable equations, first-order linear equations, second-order linear
equations with constant coefficients).
Inhoud vak
Series, vectors in R^2 and R^3, real functions of several variables,complex numbers, differential equations.
Topics that will be treated are:
1) sequences, series, power series, Taylor series
2) vectors, dot product, cross product, vector projection, distances in
R^3
3) partial derivatives, chain rule, gradients
4) extreme values, Lagrange multiplier method
5) double integrals, polar coordinates
6) complex numbers
7) first and second order differential equations
Aanvullende informatie onderwijsvormen
Lectures (3 x 2 hours per week) and seminars (2 x 2 hours per week).Attendance for at least 10 out of a total of 14 seminars is mandatory.
Toetsvorm
There is a midterm exam and a final exam. The final grade (G) is theaverage of the midterm exam (M) and final exam (F): G=(M+F)/2. There is
one retake which covers all topics for the midterm exam and the final
exam. The midterm exam or final exam cannot be retaken separately.
Literatuur
Adams and Essex, Calculus: A Complete Course, 9th edition, Pearson 2018,ISBN-10: 0134154363 • ISBN-13: 9780134154367.