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 dot products, cross products, vector projections, distances
e) calculate partial derivatives, also using the chain rule
f) find extreme values of functions of two variables, with and without
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).
Course ContentSeries, 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
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
Teaching MethodsLectures (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.
Method of AssessmentThere 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.
LiteratureAdams and Essex, Calculus: A Complete Course, 9th edition, Pearson 2018,
ISBN-10: 0134154363 • ISBN-13: 9780134154367.
Target Audience1 BA
Additional InformationAttendance for at least 10 out of a total of 14 seminars is mandatory.
Recommended background knowledgeCalculus 1
|Language of Tuition||English|
|Faculty||Faculty of Science|
|Course Coordinator||dr. ir. G.N.J.C. Bierkens|
|Examiner||dr. ir. G.N.J.C. Bierkens|
dr. ir. G.N.J.C. Bierkens
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: