MA-443 Algebra and Number Theory (Autumn 2024)
- ECTS Credits:
- 10
- Responsible department:
- Faculty of Engineering and Science
- Course Leader:
- Inger Johanne Håland Knutson
- Lecture Semester:
- Autumn
- Teaching language:
- Norwegian
- Duration:
- ½ year
Table of contents
The course is connected to the following study programs
- Subject didactics in Teacher Education Level 5-10, 2-year Master’s Programme
- Master's 5-Year Programme in Teacher Education, level 5-10
Teaching language
Prerequisites
Learning outcomes
The student
- can use the language of algebra to describe situations and to solve practical problems
- can expand and factor quadratic expressions in different contexts and, especially, solve the quadratic equation by completing the square
- can explain and use general principles for solving equations and inequalities, and can solve different types of equations as rational, logarithmic and exponential
- can solve linear, and some non-linear, systems of equations with several unknown, and can solve optimization problems using linear programming (two variables)
- have knowlegde about multiplication and division of polynomials
- have knowledge about number sequences and series
- can use the summation sign to represent series, and can use finite series in practical situations
- can explain, justify and prove theorems in algebra and number theory, and is able to use different types of proofs
- have knowledge about prime numbers, prime factorization and the distribution of primes
- have knowledge about division with a remainder and divisibility
- can solve linear Diophantine equations
Contents
Elementary algebra. Mathematical proofs. Number sequences. Arithmetic and geometric series. Elementary topics in number theory.
The subject in practice
During the 5 days in teaching practice, it will be arranged for the student to gain experience with the use of various teaching resources in mathematics and student-active teaching methods.
Teaching and learning methods
Joint teaching, work in small groups, compulsory assignments, oral presentations. Digital software is used where appropriate.
Requirements for minimum 70% compulsory participation.
The course has an expected scope of work of 267 hours.
It is included 5 days practice for the teacher education students. This is a preparation for the teaching practice in the 8th semester.
Other students will perform a didactic work of similar scope as practice.
Examination requirements
The teacher education students
- approved attendance in the course
- approved required assignments. (see Canvas for more information)
- approved practice
Other students
- approved attendance in the course
- approved portfolio collection of mathematical tasks.(see Canvas for more information)
- approved didactic work of similar scope as practice
Examinations
Student evaluation
Reduction of Credits
This course’s contents overlap with the following courses. A reduction of credits will occur if one of these courses is taken in addition:
| Course | Reduction of Credits |
|---|---|
| MA-940 – Algebra and Number Theory . | 10 |
| MA-443N – Algebra and Number Theory . | 10 |
| MA-419 – Number Theory. | 7.5 |
| MA-164 – Algebra. | 2.5 |