Course Code : | 1001WETCAL |

Study domain: | Mathematics |

Academic year: | 2019-2020 |

Semester: | 2nd semester |

Contact hours: | 90 |

Credits: | 9 |

Study load (hours): | 252 |

Contract restrictions: | No contract restriction |

Language of instruction: | Dutch |

Exam period: | exam in the 2nd semester |

Lecturer(s) | Werner Peeters |

At the start of this course the student should have acquired the following competences:

an active knowledge of

- competences corresponding the final attainment level of secondary school

an active knowledge of

- Dutch
- other languages
Use of a general word processor and a spreadsheet; basic knowledge of installing software on a PC or an equivalent operating system. General internet abilities.

specific prerequisites for this courseCorrect Dutch skills, oral as well as written.

For most of the topics in this course, no explicit prerequisites are required, in view of the fact that they will be built up from scratch. However, it is desired that the student has a certain familiarity with the notions and concepts that were taught at secondary school. In particular, students are required to exhibit specific skills related to the following mathematical methods that were considered at secondary level:

- Logic and the systematics of a mathematical proof.

- Being able to calculate with real numbers, and to deal with polynomials in a finite number of variables.

- Factoring polynomials.

- Solving elementary equations and inequalities.

- Being able to handle functions of first and second degree.

- Newton's binomial formula.

- Solving linear systems of equations (in 2 and 3 variables).

- Trigonometry.

- You can read and write mathematical formulae in a correct way, you can read and reproduce proofs.
- You know the terminology that is wielded for calculus in one and several variable.
- You can solve problems regarding limits, derivatives, integrals and series.
- You can present your results in an orderly fashion and in decent Dutch.

In short, this course treats the classical calculus as developed by Newton and Leibniz, together with all possible classical applications which are crucial in more or less all scientific courses in which functions play a dominant role.

- Complex numbers

- Limits

- Derivatives and differentials

- Primitives and integrals

- Series, including Taylor and Fourier series

- Derivatives in several variables

Class contact teachingLectures Practice sessions

Personal workExercises Assignments Individually

Personal work

ExaminationWritten examination without oral presentation Oral with written preparation Closed book

Continuous assessmentExercises

Continuous assessment

The students will be provided with a course in Dutch, which also can be used as a reference book for further self study, and of which a considerable part will be occupied by (unsolved) exercises, part of which will be treated during the course, and another part for self study.

• W. Peeters. Wiskunde - Calculus

Especially the books with an asterisk are being recommended

• D.D. Benice. Calculus and its applications. Houghton Mifflin Company, 1993

• D.D. Berkey. Applied calculus, 2nd edition. SaundersCollege Publishing, 1991

*• C.E. Edwards and D.H. Penney. Calculus, International edition, 6th edition. Prentice Hall, 2002

*• R. Ellis and D. Gulick. Calculus, One and Several Variables. SaundersCollege Publishing, 1991

• J.C. Hegarty. Applied calculus. John Wiley and Sons Inc., 1990

*• M. Nachtegael en J. Buysse. Wiskundig Vademecum -- Een synthese van de leerstof wiskunde. 6e druk. Uitgeverij Pelckmans, 1999

• J. Stewart. Calculus, 3rd edition. Brooks/Cole Publishing Company

dr Werner Peeters

Dept. Wiskunde en Informatica

Campus Middelheim gebouw G lokaal G3.14

Tel. 03/265.32.93

E-mail: werner.peeters@uantwerpen.be