How do I choose my IB math topic?
Here are 4 key tips to help you write an impressive math IA.
- Choose a Topic of Interest. When you choose a topic that is genuinely of interest to you, it reflects in the final outcome.
- Stick to the Criteria.
- Establish a Clear Structure.
- Start Early.
What is a good topic for math exploration IA for HL math student?
Topics include Algebra and Number (proof), Geometry, Calculus, Statistics and Probability, Physics, and links with other subjects. Suitable for Applications and Interpretations students (SL and HL) and also Analysis and Approaches students (SL and HL).
How are complex numbers used in mathematics?
From a purely mathematical standpoint, one cool thing that complex numbers allow us to do is to solve any polynomial equation. For example, the polynomial equation x 2 − 2 x + 5 = 0 x^2-2x+5=0 x2−2x+5=0x, squared, minus, 2, x, plus, 5, equals, 0 does not have any real solutions nor any imaginary solutions.
What fields use complex numbers?
Complex numbers are used in electronics and electromagnetism. A single complex number puts together two real quantities, making the numbers easier to work with. For example, in electronics, the state of a circuit element is defined by the voltage (V) and the current (I).
Is 5i a real number?
For example, 5i is an imaginary number and is equivalent to –1 ÷ 5. The real numbers are those numbers that can be expressed as terminating, repeating, or nonrepeating decimals; they include positive and negative numbers. The product of two negative real numbers is always positive.
Is 34 a real number?
34 is a rational number because it can be expressed as the quotient of two integers: 34 ÷ 1.
What is a pure imaginary number?
Definition of pure imaginary : a complex number that is solely the product of a real number other than zero and the imaginary unit.
Do imaginary numbers exist?
Essentially, an imaginary number is the square root of a negative number and does not have a tangible value. While it is not a real number — that is, it cannot be quantified on the number line — imaginary numbers are “real” in the sense that they exist and are used in math.
How long should a math ia be?
6-12 pages
The Maths IA forms 20\% of your overall grade for Maths studies, SL and HL. The IBO recommend that it is 6-12 pages in length and includes maths that is commensurate with the level of difficulty of the course.
What are some maths IA exploration topics for IB students?
Scroll down this page to find over 300 examples of maths IA exploration topics and ideas for IB mathematics students doing their internal assessment (IA) coursework. Topics include Algebra and Number (proof), Geometry, Calculus, Statistics and Probability, Physics, and links with other subjects.
How to choose a mathematics IA topic?
How to Choose a Mathematics IA Topic Most math gurus insist that math is not just an abstract subject. It has real and effective links to the real world, and that is what the whole point of the internal assessment is. To choose the topic, start with the real-life experiences to help you pinpoint an area of math you want to explore.
What are some interesting topics in Maths for beginners?
Maths IA – Maths Exploration Topics 1 Knots 2 Steiner problem 3 Chinese postman problem – This is a problem from graph theory – how can a postman deliver letters to every house on his streets in the shortest time possible? 4 Travelling salesman problem 5 Königsberg bridge problem: The use of networks to solve problems.
What are some of the greatest unsolved problems in mathematics?
One of the great unsolved problems in mathematics. 3) Probabilistic number theory 4) Applications of complex numbers : The stunning graphics of Mandelbrot and Julia Sets are generated by complex numbers. 5) Diophantine equations : These are polynomials which have integer solutions.