### General Information

Course Code | X_400635 |
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Credits | 6 EC |

Period | P1 |

Course Level | 100 |

Language of Tuition | English |

Faculty | Faculty of Science |

Course Coordinator | dr. ir. R.F. Swarttouw |

Examiner | dr. ir. R.F. Swarttouw |

Teaching Staff |
dr. ir. R.F. Swarttouw dr. O. Fabert |

### Practical Information

You need to register for this course yourself

Last-minute registration is available for this course.

Teaching Methods | Seminar, Lecture |
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Target audiences

This course is also available as:

### Course Objective

At the end of this course the student is able toa) calculate limits, using several methods like l'Hopitals rule or the

squeeze theorem

b) calculate derivatives and to find local extreme values

c) calculate integrals, using several methods like the substitution

method, integration by parts, partial fraction expansion

d) verify if a function is continuous, differentiable,

Riemann-integrable

e) calulate and apply a Taylor polynomial

f) formulate and apply several important theorems for continuous and/or

differentiable functions, like the Intermediate Value Theorem, the Mean

Value Theorem and the Fundamental Theorem of Calculus

### Course Content

Real functions of one variable. Topics that will be treated are:1) Preliminaries, Real functions, Trigonometric functions

2) Limits, Continuity, Intermediate Value Theorem

3) Transcendental Functions, Inverse Functions

4) Differentiation, Chain Rule, Mean Value Theorem

5) Applications of Differentiation, Extreme Values, l'Hôpital's Rule,

Taylor Polynomial

6) Integration, Fundamental Theorem of Calculus, Improper Integrals

### Teaching Methods

Lectures (3x per week) and tutorials (2x per week)### Method of Assessment

Midterm exam and Final exam. More details can be found in the manual onCanvas.

### Literature

Adams en Essex, Calculus: A Complete Course, 9th edition, Pearson 2018,ISBN-10: 0134154363 • ISBN-13: 9780134154367.

### Target Audience

1 BA### Additional Information

Participation in the working classes is compulsory! Detailed rules willbe announced in the manual on Canvas.