Hi,
Here is a short description and curriculum for the Junior Math Summer Camp:
This course is intended for students that want to participate in the AMC8 contest. Previous experience with the Gauss contest or AMC8 would be useful, but not mandatory.
Curriculum:
Combinatorics:
- Permutations
- Combinations
- Word rearrangements
- Casework
- Complementary counting
Algebra:
- Ratios and Percentages
- Algebraic manipulations and Equations
- Speed, Distance, Time
- Sequences
- Telescoping
- Mean, Median, Mode
Number Theory:
- Primes and Divisibility
- Factors
- GCD and LCM
- Diophantic Equations
- Modular Arithmetic
Geometry:
- Angle Chasing
- Triangles
- Quadrilaterals
- Circles
- Similar Triangles
- Areas and Lengths
Hi,
Here is the Math Summer Camp Intermediate Curriculum and course description:
This course is intended to students that want to participate in AMC10/12 contests. Previous experience with contest like AMC8 and/or contests organised by U of Waterloo for grades 8/9/10 is strongly recommended.
Combinatorics:
- Permutations and Combinations
- Probability
- Casework
- Principle of Inclusion Exclusion
- Stars and Bars
- Geometric Probabilities
Algebra:
- Algebraic manipulations
- Arithmetic and Geometric Sequences
- Special Sequences
- Median, Mean, Mode
- Systems of Equations
- Speed, Distance, Time
Number Theory:
- Primes and Factors
- Divisibility and Legendre’s Formula
- LCM, GCD
- Modular Arithmetic
- Bases of numeration
Geometry:
- Angle Chasing
- Special Triangles
- Similar Triangles
- Quadrilaterals
- Circles
- Polygons
- 3D geometry
Hi,
Here is the Summer Math Camp Senior Curriculum
This course is intended for advanced students who want to participate in AMC10/12 and/or COMC, AIME level contests. Previous experience with AMC10 and/or contest organised by U of Waterloo for grades 10 and higher or strongly recommended.
Combinatorics:
- Combinatorial Identities
- Stars and Bars
- Geometric Counting
- Geometric Probability
- Expected Value
- Recursion
Algebra:
- Polynomial Roots
- Vieta’s Formulas
- The Rational Root Theorem
- Complex numbers
- Systems of Equations
- Speed, Distance, Time
Number Theory:
- Algebraic Number Theory
- Diophantine Equations
- Fermat’s Little Theorem, Wilson’s Theorem
- Chinese Lemma of Remainders
- Bases of Numerations
Geometry:
- Concurrence theorems
- Important lines in triangles
- Circles, Power of a point, Radical axes, Cyclic quadrilaterals
- Trigonometry and its use in geometry