Calculus 2

2019-2020
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 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
contraints
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

Onderwijsvorm

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) for
Calculus 1 is the average 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. Midterm exam or final exam cannot be retaken
separately! 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.

Doelgroep

1 BA

Overige informatie

Attendance for at least 10 out of a total of 14 seminars is mandatory.

Aanbevolen voorkennis

Calculus 1

Algemene informatie

Vakcode X_400636
Studiepunten 6 EC
Periode P2
Vakniveau 100
Onderwijstaal Engels
Faculteit Faculteit der Bètawetenschappen
Vakcoördinator dr. ir. G.N.J.C. Bierkens
Examinator dr. ir. G.N.J.C. Bierkens
Docenten dr. ir. G.N.J.C. Bierkens

Praktische informatie

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