MAT4010 – School Mathematics From an Advanced Point of View
Course description
Schedule, syllabus and examination date
Course content
The goal of the course is to enable you to better understand and explain high school mathematics. We will discuss topics from school mathematics from an advanced point of view, and discuss advanced mathematical concepts that have a clear relationship with school mathematics, in order to make you more confident when teaching. There will be an emphasis on outreach and communication.
Learning outcome
After completing the course you
- will have a good understanding of real numbers and the decimal expansion of rational numbers
- will know basic results in elementary number theory
- can prove formulas for surface area and volume of solid figures without using integrals, and you can justify the formulas by elementary means
- will have a good understanding of elementary combinatorics and probability and can explain various probability paradoxes
- will have a good understanding of elementary analysis and know relevant counterexamples;
- can explain the definition of the number e in several ways
- know the basic principles of trigonometry and solid geometry
- have learned examples of topics that you can use in the classroom to show that mathematics is a central part of our cultural heritage
- will master LaTeX as an electronic tool for writing mathematics.
Admission to the course
Students admitted at UiO must?apply for courses?in Studentweb. Students enrolled in other Master's Degree Programmes can, on application, be admitted to the course if this is cleared by their own study programme.
Nordic citizens and applicants residing in the Nordic countries may?apply to take this course as a single course student.
If you are not already enrolled as a student at UiO, please see our information about?admission requirements and procedures for international applicants.
Formal prerequisite knowledge
Recommended previous knowledge
- At least 40 ECTS credits in mathematics on university level, where especially one of the following will be an advantage:
Overlapping courses
- 10 credits overlap with MAT3010 – Mathematics, School and Culture (discontinued).
Teaching
4 hours of lectures/exercises per week throughout the semester.
Examination
This course has 1 mandatory assignment that must be approved before you can sit the final exam. The assignment must be done with presentation software for mathematics (LaTeX).
When writing a project assignment make sure to familiarize yourself with the rules for use of sources and citations. Breach of these rules may lead to suspicion of attempted cheating.
Final oral exam which counts 100 % towards the final grade.
It will also be counted as one of the three attempts to sit the exam for this course, if you sit the exam for one of the following courses: MAT3010 – Mathematics, School and Culture (discontinued)
Examination support material
No examination support material is allowed.
Language of examination
The examination text is given in Norwegian. You may answer in Norwegian, Swedish, Danish or English.
Grading scale
Grades are awarded on a scale from A to F, where A is the best grade and F is a fail. Read more about the grading system.
Resit an examination
This course offers both postponed and resit of examination. Read more:
More about examinations at UiO
- Use of sources and citations
- Special exam arrangements due to individual needs
- Withdrawal from an exam
- Illness at exams / postponed exams
- Explanation of grades and appeals
- Resitting an exam
- Cheating/attempted cheating
You will find further guides and resources at the web page on examinations at UiO.