Course ObjectiveAt 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
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).
Course ContentSeries, 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
Teaching MethodsLectures (3x per week) and tutorials (2x per week)
Method of AssessmentMidterm exam and Final exam. More details can be found in the manual on
LiteratureAdams and Essex, Calculus: A Complete Course, 9th edition, Pearson 2018,
ISBN-10: 0134154363 • ISBN-13: 9780134154367.
Target Audience1 BA
Additional InformationParticipation in the working classes is compulsory! Detailed rules will
be announced in the manual on Canvas.
Recommended background knowledgeCalculus 1
|Language of Tuition||English|
|Faculty||Faculty of Science|
|Course Coordinator||dr. ir. R.F. Swarttouw|
|Examiner||dr. ir. R.F. Swarttouw|
dr. ir. R.F. Swarttouw
You need to register for this course yourself
Last-minute registration is available for this course.
|Teaching Methods||Seminar, Lecture|
This course is also available as: