# Applied calculus

Course Code : | 1000WETTCA |

Study domain: | Mathematics |

Academic year: | 2017-2018 |

Semester: | 2nd semester |

Contact hours: | 60 |

Credits: | 6 |

Study load (hours): | 168 |

Contract restrictions: | No contract restriction |

Language of instruction: | Dutch |

Exam period: | exam in the 2nd semester |

Lecturer(s) | Werner Peeters |

### 1. Prerequisites *

- competences corresponding the final attainment level of secondary school

an active knowledge of

- Dutch

- general knowledge of the use of a PC and the Internet

general notion of the basic concepts of

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.

### 2. Learning outcomes *

- You can read and write mathematical formulas correctly.
- You know the terminology involving calculus in one and several variables
- You can solve problems anout differentiation and integration, differential equations, Taylor and fourier series.
- You can present your results in an orderly fashion, in acceptable Dutch.

### 3. Course contents *

- Complex numbers

- Derivatives and differentials in one and several variables

- Primitive functions and integrals in one and several variables

- Differential equations

- Series, including Taylor series and Fourier series

### 4 International dimension*

### 5. Teaching method and planned learning activities

### 6. Assessment method and criteria

### 7. Study material *

#### 7.1 Required reading

The students will be provided with a Dutch course, where the stress will be put on the demonstration of examples with the theory, which can also be used as a reference work for further self study. A major portion is taken up by (unsolved) exercises, some of which are treated in the course, others are the subject of self study.

• W. Peeters. Wiskunde - Toegepaste Calculus

**7.2 Optional reading**

The following study material can be studied voluntarily :As prior knowledge the following book is being used:

• S. Verwulgen en E. Soetens. Wiskunde voor de beginnende bachelor. Academia Press

To bridge the gap with other courses, the following work is sometimes used:

Erich Steiner, The Chemistry Maths Book (Oxford)

Especially the books with a star are 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

### 8. Contact information *

dr Werner Peeters

Dept. Wiskunde-Informatica

Middelheimlaan 1 gebouw G 3.14

werner.peeters@uantwerpen.be