AIME

(American Invitational Mathematics Examination)

Advanced level mathematics course, suitable for students who are already comfortable with AMC 10/12 level topics and problems, and are ready for the next level. Lectures and problem sets in this course are designed towards AIME competition.

Course Description


Advanced level mathematics course designed for students who are already comfortable with AMC 10/12 level topics and problems, and are ready for the next level. Lectures and problem sets in this course are designed to ensure success in the AIME competitions. This course is typically suitable for rising 9-12th graders, and it could also be beneficial for high-achieving younger students.




Topics


Algebra

  • Complex Numbers
  • Inequality Applications
  • Advanced Polynomials
  • Advanced Logarithmic Functions

Number Theory

  • Modular arithmetic applications
  • Advanced prime factorizations and divisibility
  • Euler's Theorem
  • Sequences
  • General diophantine equations

Combinatorics

  • Advanced probability applications
  • Advanced permutation and combination applications
  • Principles of inclusion and exclusion
  • Pigeonhole theorem

Geometry

  • Advanced angle, area, volume applications
  • Trigonometric equations and applications
  • Advanced similarity applications
  • Advanced triangles and circles




Target Competitions


  • American Invitational Mathematics Examination (AIME)
  • Harvard MIT Math Tournament (HMMT)
  • Caltech Harvey Mudd Math Competition (CHMMC)
  • Stanford Math Tournament (SUMO)




Offerings


This course is currently offered only as a full-day course during summer camps.





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