This article gives you a list of Math extended essay topics to help you spend less time on brainstorming and more on preliminary research.
Feel free to pick a topic from one of the categories below or use this list as a starting point in your research process.
Every topic we’ve suggested here lets you reflect on mathematical inquiry, allowing you to explore both the theoretical and practical uniqueness of the subject.
46 IB Math Extended Essay Topics
The different mathematical areas for which you can focus an extended essay report include algebra and number theory, calculus and analysis, geometry and topology, statistics and probability, and mathematical modeling and application.
Algebra and Number Theory
- Exploring the properties of Diophantine equations and their solutions
- Investigating the role of modular arithmetic in cryptography
- Analyzing the distribution of prime numbers using the Sieve of Eratosthenes
- Exploring the concept of perfect numbers and their connection to Mersenne primes
- Investigating the application of group theory in Rubik's Cube algorithms
- Analyzing the Fibonacci sequence and its relationship to the golden ratio
- Exploring the mathematics behind continued fractions and their convergence properties
Calculus and Analysis
- Investigating the applications of derivatives in optimization problems
- Analyzing the convergence and divergence of infinite series
- Exploring the role of calculus in modeling population growth using logistic functions
- Investigating the use of Taylor and Maclaurin series in approximating functions
- Analyzing the mathematical underpinnings of fractals using calculus
- Investigating the applications of partial derivatives in multivariable functions
- Analyzing the role of integrals in calculating areas under curves and volumes of solids of revolution
- Exploring the concept of limits and their application in defining continuity
- Investigating the calculus of variations and its application in physics and engineering
Geometry and Topology
- Exploring the properties of non-Euclidean geometry and their applications
- Investigating the role of topology in understanding the Möbius strip and Klein bottle
- Analyzing the geometry of conic sections and their applications in astronomy
- Exploring the use of fractal geometry in modeling natural phenomena
- Investigating the properties of tessellations and their application in art and architecture
- Analyzing the role of geometry in the design of optical illusions
- Exploring the Euler characteristic and its applications in topological studies
- Investigating the relationship between topology and graph theory in network analysis
- Analyzing the geometry of hyperbolic space and its implications in physics
- Exploring the mathematical principles behind the golden ratio and its appearance in nature
Statistics and Probability
- Investigating the use of statistical methods in analyzing sports performance
- Analyzing the probability of winning in different strategies of popular board games
- Exploring the role of probability in predicting outcomes in genetics (Punnett squares)
- Investigating the statistical impact of sample size on the reliability of survey data
- Analyzing the distribution of data and its applications in quality control processes
- Exploring the role of probability in assessing risk in insurance models
- Investigating the use of Bayesian statistics in decision-making processes
- Analyzing the application of normal distribution in modeling real-world phenomena
- Exploring the mathematics behind Markov chains and their applications in predictive modeling
- Investigating the role of probability in analyzing financial market trends
Mathematical Modeling and Application
- Investigating the use of mathematical models in predicting the spread of infectious diseases
- Analyzing the application of linear programming in optimizing resource allocation
- Exploring the role of mathematical models in climate change predictions
- Investigating the mathematics behind traffic flow modeling and its applications
- Analyzing the use of game theory in understanding competitive strategies
- Exploring the application of differential equations in modeling population dynamics
- Investigating the role of mathematics in designing algorithms for machine learning
- Analyzing the use of mathematical models in predicting economic trends
- Exploring the role of mathematics in analyzing social networks using graph theory
- Investigating the use of mathematical models in predicting the trajectory of celestial objects
How to Choose a Math Extended Essay Topic
You can choose any subject with a mathematical focus, as long as it allows you to extend your knowledge beyond the standard IB Mathematics curriculum.
- Statistical analyses of experimental results from other disciplines are acceptable if they emphasize modeling methods and explore the limits of the results.
- Any topic from Engineering, Sciences, and Social Sciences is a good fit.
- A topic from the history of mathematics may be acceptable, as long as it demonstrates a clear progression of mathematical development.
- Avoid focusing on the lives or rivalries of mathematicians, as these topics are irrelevant in the context of IB Math Extended Essay.
The evaluation criteria reward the nature of the inquiry and the strength of the reasoned arguments used to explore the research question. Therefore, avoid trivial topics or those that are too broad to allow for meaningful exploration and argument within the given word limit.
Why Write an Extended Essay in Mathematics?
You don’t just write an extended essay in mathematics to score a 34. You do so to demonstrate that you understand the subject by giving an expression of the value of Math in geometry, fractal theory, and theorems.
Depending on the topic you choose, your Math EE can demonstrate the relationship between different branches in mathematics and the structure that that helps solve many math-related problems by a single theory.
Furthermore, exploring a topic of personal interest lets you demonstrate the application of mathematics to real-life situations.
Can You Write My Math Extended Essay for Me?
You can pay someone on Help for Assessment for extended essay writing service. By taking advantage of this service, you’ll work with an expert writer who understands the ins and outs of mathematics with respect to IB EE.
Our Math assignment help is a flexible option because we charge only $12.99 to $40 per page depending on the urgency of the task. Plus, you get a 10% discount if you’re new to Help for Assessment.