Advanced Topics in Mathematics: Complex Numbers, Groups, and Fractals

Do you love math but feel like normal curricula are tedious and uninspired? Do you want to go in depth on some of the most beautiful mathematics you can without needing calculus? Learn about the world of complex numbers, groups, and fractals!

Locations: Online, Los Altos, Menlo Park, Palo Alto, San Mateo

Cost: $110/hr – $130/hr.

Recommended hours: 10


  • Study the theory of complex numbers, groups, and fractals
  • Develop critical mathematical thinking skills and intuition
  • Complete a visualization project on fractals and learn how to use modeling software like Desmos

To Enroll Call (650) 331-3251 


Course Description:

This course will take a deeper dive into fascinating concepts of mathematics: compelx numbers, groups, and fractals. Students will learn why the term “imaginary” number couldn’t be further from the truth and use complex numbers to introduce groups and famous examples of fractals. We will focus on building the student’s geometric intuition for what these objects are and hypothesize how they should interact with each other. We will then investigate and test these hypotheses! We finish the course with a visualization project in which students choose a specific fractal (such as Mandelbrot Set or Koch’s Snowflake), analyze its many properties, and create a basic computer model of it.

The skills and insights developed from this class will help students learn to think critically like real mathematicians, instead of merely emphasizing the application of algorithms. This course is a great starting pont for any student who is considering pursuing pure math or applied math at some point in their academic career.

Make the Most of the Summer!

Students who stay actively engaged in the learning process during the summer perform better during the school year.

Contact AJ Tutoring to Enroll in Summer Tutoring
Peninsula Main Phone Number (650) 331-3251
Free Consultation