Course Overview
Dive deep into the world of advanced algebra with this intensive 8-week program designed for students ready to tackle complex mathematical challenges. This course bridges theoretical algebra with practical applications in computer science, artificial intelligence, and competitive mathematics.
You'll master polynomial equations, matrix operations, abstract algebra concepts, and develop the logical reasoning skills essential for success in STEM fields and competitive exams.
What You'll Learn
Course Syllabus
Week 1-2: Advanced Polynomials
2 WeeksComplex factorization, synthetic division, and polynomial theorems
Week 3-5: Matrix Algebra
3 WeeksMatrix operations, determinants, eigenvalues, and linear transformations
Week 6-7: Abstract Algebra
2 WeeksIntroduction to groups, rings, fields, and their properties
Week 8: Applications & Competition Prep
1 WeekReal-world applications and competition-style problem solving
Your Instructor
Prof. Michael Zhang
Ph.D. in Applied Mathematics, Stanford
Professor Zhang is a renowned mathematician with expertise in abstract algebra and its applications in computer science. He has coached multiple IMO gold medalists.
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