Coursecode: wi1256/1257/1258mt
Coursename: Calculus

DUT creditpoints: 6
ECTS creditpoints: 9

Faculty of Information Technology and Systems

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: 6/6/0/6/0
Hours p/w: 6
Other hours: 
Assessment: Written
Assessm.period(s): 1-5
(see academic calendar)

Prerequisites: VWO-wiskunde B (Secondary School Maths)

Follow up: wi201wbn

Detailed description of topics:

  • 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.

Course material:

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

  • Handleiding bij wi101Wb, Hensbergen

References from literature:

Remarks (specific information about assesment, entry requirements, etc.):

  • 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.

Goals:
There are two goals:

  • 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%