Matematik 4
Trigonometric functions, complex numbers and more calculus: the last maths course for many students.
Matematik 4 takes calculus further and adds trigonometric functions and complex numbers. Many engineering and science degrees ask for it. In Gy25 it is called Matematik – fortsättning, nivå 2.
Overview
Matematik 4 is the last maths course that many Natural Science and Technology students take, and the one universities most often ask for in engineering, physics and other science programmes. It brings together ideas from earlier courses and takes them further: derivatives of more kinds of functions, more ways of working with integrals, and trigonometric functions that describe waves and other repeating patterns.
The course also introduces complex numbers, which extend the number line into a plane and make it possible to solve equations that have no real solutions. For many students this is the most unfamiliar part, so give it time. Matematik 4 asks more of your reasoning than earlier courses, with proofs and longer chains of argument, which makes it good preparation for university maths. If you are aiming for a programme that requires it, check the entry requirements early so you can plan your courses.
What you learn
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Trigonometry
The unit circle, trigonometric functions and their graphs, and trigonometric formulas.
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Complex numbers
Calculating with complex numbers and solving equations with them.
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Derivatives
The product, quotient and chain rules, and derivatives of trigonometric functions.
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Integrals
More integration methods and uses such as areas.
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Proof
Mathematical reasoning and proofs.
How it's scored
Your teacher sets the grade (A–F) from everything you have shown during the course. The national test is weighed in specially, but it doesn't decide the grade on its own.
How to prepare
- Learn the unit circle until you can draw it from memory: much of the course rests on it.
- Practise without a calculator: the national test has parts where you can't use one.
- Work through old national tests that have been released, under the real time limits.
- Check which universities ask for Matematik 4 for the programme you want.
Official pages
Dates, registration and fees change from year to year, so check them on the official pages.