This course is designed to help students develop a strong foundation in number theory. It is intended to be beneficial for students seeking to excel in their school math curriculum as well as for those aiming to excel in math competitions. This course consists of eleven 1.5-hours lectures taught by Dr. Shi, along with weekly 1-hour homework review sessions led by a teaching assistant (with Dr Shi’s guidance). Students are expected to complete homework assignments after each lecture, and the review sessions will review the homework and provide additional support.
Completion of the Prealgebra 1 and Prealgebra 2 courses or similar programs is recommended to ensure that students have the necessary Algebra skills. To maximize the benefits of this course, we recommend that students have a basic understanding of Algebra skills, such as solving linear equations, computing ratios, simplifying radicals and fractions, and solving and factoring quadratic equations.
• Lecture notes • AoPS Introduction to Number Theory
We have added exclusive, enriched content to the materials covered by the AoPS book to increase the effectiveness of learning. The chapters that are particularly enhanced by the added content are marked with a star (*) symbol in the syllabus. This enriched content goes beyond the scope and depth of the AoPS book. Dr. Shi's teaching approach is distinctive in its emphasis on integrating various topics coherently, which simplifies complex concepts and makes them easier to grasp. Dr. Shi is especially sharp at identifying the “key” to solving difficult problems and helping students see through complex problems with ease.
