Session III at Caltech runs from Saturday, June 27 through Friday, July 17. Note that weekends are included in this three-week session. The courses offered during this session are as follows:

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Theory & Practice

Develops pre-algebra skills using number theory to build a strong foundation for the future study of algebra and geometry. Recommended for students who will take Pre-Algebra or Algebra. (rising 6^th and 7^th grades)

Al-gabr Wa’l-muqabala: Completion & Balancing

Presents methodology and procedures to develop advanced algebraic skills essential for the study of higher mathematics. Recommended for students who will take Algebra I or II.
(rising 7^th through 9^th grades)

Construction & Proof

Builds on strong arithmetic and algebraic skills the inductive, deductive and constructive methods of geometry. The axiomatic method of geometric proofs will be emphasized throughout the course.(rising 8th and 9th grades)

The ABC’s of Advanced Mathematics

Develops the ideas and methods of the calculus of Sir Isaac Newton and Gottfried Wilhelm Leibniz.   Recommended for students who have taken an introductory calculus course or equivalent to calculus AB.  (rising 11^th & 12^th grades and graduating seniors)

To Infinity and Beyond… Calculus!

Introduces and develops the theory of generating functions and its applications to combinatorics and to the solution of difference equations. Recommended for students who have completed at least one year of calculus or a course equivalent to calculus AB or BC.  (rising 12^th grade and graduating seniors)

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