Coursecode: wi104wb
Coursename: Calculus

DUT creditpoints: 6
ECTS creditpoints: 9

Faculty of Mathematics and Informatics

Lecturer(s): Hensbergen, drs. A.T.

Tel.: 015-2785818

Catalog data:
Functions of one variable; integration; multiple integrals; complex numbers; linear differential equations.

Courseyear: 1
Semester: 4/4/0/6/6
Hours p/w: 2
Other hours: 2
Assessment: Written
Assessm.period(s): 2-6
(see academic calendar)

Prerequisites: VWO-wiskunde B (Secondary School Maths)

Follow up: wi201wbn

• Functions of one variable:
  Limits, continuity, differentiation, extreme values, related rates;
  Elementary functions (sin, cos, tan, arcsin, ... , exp, ln, n-th root, sinh, cosh);
  Approximation by Taylor polynomials ;
  Finding limits by use of Taylor polynomials or l'Hospital's rule.

• Integration:
  Definition of (Riemann-)integral by lower and upper sums.
  Techniques of integration; numerical integration; improper integrals.
  Applications of integrals: surface, arc-length, volumes, mass, centres of mass, centroids.
  Multiple integrals;
  Polar, cylindrical and spherical coordinates.

• Complex numbers:
  Definition of complex numbers. Graphical representation of C.
  Elementary operations: addition, multiplication, modulus + argument of a complex number.
  Complex exponential function.
  Zeros of polynomials; factorization of polynomials.

• Differentials equations:
  Linear DE's of order one.
  Linear DE's with constant coefficients.

• (A complete course in) Calculus, R. Adams.

• Handleiding bij wi101Wb, Hensbergen

References from literature:

• The final score for the course is the average of the three scores for the exams at the end of each quarter.

• In every quarter there will be three half-hour tests which may give a small bonus for the examination following the quarter.

• several mathematical techniques will be taught, that may be applied within the practice of a mechanical engineer.

• attention will be given to the theory behind those thechniques, and the logical interactions.

Computer use:

Laboratory project(s):

Design content:

Percentage of design: 0%