Honors Math 7.5: Introduction to Counting & Probability, Introduction to Number Theory

Choose the right level

Students who complete Honors or Contest Math 7, Introduction to Algebra are generally ready for Honors Math 7.5. We recommend that students take the Honors Math 7.5 placement exam to confirm whether they are ready for this course.

Curriculum

Our expert instructors use Art of Problem Solving curriculum to teach Honors Math 7.5: Introduction to Counting & Probability and Introduction to Number Theory. AoPS curriculum is a much broader and deeper exploration of challenging mathematics than a typical math curriculum, preparing students for success at top universities and in competitive careers.

These courses cover the Art of Problem Solving Introduction to Counting & Probability and Introduction to Number Theory books.

Honors Math 7.5A
In this course, students master the basics of combinatorics and probability, including permutations and combinations, advanced counting techniques, the binomial theorem, expected value, geometric probability, and more.

Honors Math 7.5B
‍‍In this course, students master the basics of number theory, including number bases, divisibility, prime numbers, the Euclidean algorithm, modular arithmetic, linear congruences, the Chinese Remainder theorem, and more.

Format

Our instructors hold classes virtually, in a small-sized (10-16 students) videoconferencing classroom.

Homework and exams

There are about 1 to 3 hours of homework each week. There is one timed final exam at the end of each course.

Drop and refund policies

Visit our tuition page to learn more about our drop and refund policies.

Schedule

Each course runs for 18 weeks with one 105-minute lesson per week.