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Mathematics for Liberal Arts & Science
Cursusdoel
- investigate and visualize functions of one or two variables,
- use inverse trigonometric functions and logarithms,
- differentiate a broad set of standard functions, using product, quotient and chain rules,
- solve (systems of) linear and nonlinear equations,
- perform basic matrix calculations, including 2x2 inverses and arbitrary determinants,
- optimize functions of one or more variables, with and without constraint,
- integrate linear combinations of standard functions including linear substitutions,
- work with probabilities and some basic discrete and continuous probability distributions,
- communicate effectively about mathematical modeling applications.
The final grade for this course is based on four elements: 1+2. two in-class written exams, 3. hand-in exercises and active class participation, and 4. the papers you write on mathematical modeling applications. These assessments are related to the learning goals as follows:
- Written in-class midterm exam: this tests your ability to solve problems related to topics A, B, C, D, E and F (for functions of one variable only).
- Written in-class final exam: this tests your ability to solve problems related to concepts covered after the midterm break: A, C, D and F (for functions of several variables), G and H. Skills related to B and (to a lesser extent) E may still be included in so far as they are necessary to solve problems related to the core topics of this exam.
- Hand-in exercises: these test both your active class participation and your ability to communicate about your calculations effectively (I).
- Papers: you will write, peer-review and improve one paper on a modeling application of concepts C+F (for a function of one variable). You will also write a second paper on a modeling application of either one of the concepts D+E, C+F (using functions of several variables), G and/or H. The primary aim of these papers is to help you develop and demonstrate your skills towards learning goal I.
Vakinhoudelijk
Format:
- study the theory by watching knowledge clips,
- practice problem-solving applying the theory they learned,
- work out take-home assignments to be handed in about once a week,
- write two papers on mathematical modeling applications.
Werkvormen
Toetsing
Class participation, homework exercises
Verplicht | Weging 20% | ECTS 1,5
Midterm exam
Verplicht | Weging 30% | ECTS 2,25
Final exam
Verplicht | Weging 35% | ECTS 2,63
Essays
Verplicht | Weging 15% | ECTS 1,13
*midterm FEEDBACK*
Niet verplicht
Ingangseisen en voorkennis
Ingangseisen
Er is geen informatie over verplichte ingangseisen bekend.
Voorkennis
Er is geen informatie over benodigde voorkennis bekend.
Voertalen
- Engels
Cursusmomenten
Gerelateerde studies
Tentamens
Er is geen tentamenrooster beschikbaar voor deze cursus
Verplicht materiaal
Materiaal | Omschrijving |
---|---|
BEELDMATER | The core theory for this course will be studied through a series of knowledge clips and the accompanying PowerPoint presentations, which are available through lecturenet.uu.nl and Blackboard. |
Aanbevolen materiaal
Materiaal | Omschrijving |
---|---|
READER | Supplementary material may be made available through Blackboard. |
BOEK | Mathematical Techniques, An introduction for the engineering, physical and mathematical sciences (fourth edition), by D.W. Jordan & P. Smith, Oxford University Press 2008; ISBN 978-0-19-928201-2. |
Opmerkingen
Counts as Math requirement for SCI majors. Does not count as science course.
Coördinator
Onbekend | - |
Docenten
Onbekend | - |
Inschrijving
Naar OSIRIS-inschrijvingen
Permanente link naar de cursuspagina
Laat in de Cursus-Catalogus zien