.

Session IV runs from Sunday, July 5 through Friday, July 24. This session is recommended for rising or continuing high school students. Note that weekends and holidays are included in this three-week session. Courses offered:

CAPITAL LEπERS

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800 & 36

.

Session IV – Principia at Caltech runs from Wednesday, July 1 through Friday, July 24. Note that weekends are included in this four-week session. This course is intended for rising or graduating seniors interested in pursuing a degree in engineering or applied science. Students must have completed at least one year of calculus to enroll in this course.

℘RINCIPIA

.

CAPITAL LEπERS

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

This course is a continuation of LETTERS. 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 8^{th }through 10^{th} grades).

IN⇨ℕ⇨OUT

That’s what a function is all about!

Studies the properties, graphs, transformations and compositions of algebraic and elementary transcendental functions. Methodologies and procedures for the solution of nonlinear equations and inequalities will be developed throughout the course. Recommended for students who will take Algebra II or Math Analysis/PreCalculus. (rising 9^{th }through 11^{th} grades)

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That’s what a function is all about!

Studies the properties, graphs, transformations and compositions of algebraic and elementary transcendental functions. Methodologies and procedures for the solution of nonlinear equations and inequalities will be developed throughout the course. Recommended for students who will take Algebra II or Math Analysis/PreCalculus. (rising 9^{th }through 11^{th} grades)

There were once a triangle, a circle and an altitude…

Covers analytic aspects of trigonometry including identities, equations, inequalities and word problems. Recommended for students who will take Math Analysis or PreCalculus. (rising 10^{th }& 11^{th} grades)

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**1**
The ABC’s of Advanced Mathematics

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

800 & 36

Easy Peasy Lemon Squeezy

Presents the mathematical background along with methodologies, techniques and strategies needed to excel in the SAT and ACT college entrance exams. Recommended for students who will be taking the exams in the fall (rising 11^{th }and 12^{th} grades). Note that this course will only be offered if a minimum of 10 students register.

℘RINCIPIA

*hypotheses non fingo*

Develops Newtonian mechanics with emphasis on mathematical physics and on problem solving techniques. This course is intended for rising or graduating seniors interested in pursuing a degree in engineering or applied science. Students must have completed at least one year of calculus to enroll in this course. (rising 12^{th} grade and graduating seniors)

This scholar is practicing Babylonian mathematics on the glass walls at Stanford University.

SolidWorks design software, this scholar designs his wind turbine in one of the computer labs in Etcheverry Hall at UC Berkeley.

This scholar practices the Egyptian numerical system on the glass walls at Stanford University.

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Session IV at UC Berkeley-Stanford University runs from Saturday, July 27 through Thursday, August 15. Courses offered:

NUMB3RS

LEπERS

PICTUR≅S

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Note that weekends are included in this three-week session.

NUMB3RS

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)

LEπERS

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)

PICTUR≅S

Construction & ProofBuilds 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 8

^{th} and 9

^{th} grades)

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IN⇨ℕ⇨OUT

That’s what a function is all about!

Studies the properties, graphs, transformations and compositions of algebraic and elementary transcendental functions. Methodologies and procedures for the solution of nonlinear equations and inequalities will be developed throughout the course. Recommended for students who will take Algebra II or Math Analysis/PreCalculus.

(rising 9^{th }through 11^{th} grades)

COMMENTED OUT ________________________________________________

There were once a triangle, a circle and an altitude…

Covers analytic aspects of trigonometry including identities, equations, inequalities and word problems. Recommended for students who will take Math Analysis or PreCalculus.

(rising 10^{th }& 11^{th} grades)

**1**
The ABC’s of Advanced Mathematics

Develops the ideas and methods of the calculus of Sir Issac Newton and Gottfried Wilhelm Leibniz. Recommended for students who have taken pre-calculus or equivalent course or an introductory calculus course.

(rising 11^{th }, 12^{th} grades and graduating seniors)

This scholar leans over to get a better view of the San Francisco Bay on a field trip to the Exploratorium.

At the Exploratorium, DaVinci Camp staff blows on the soapy film to create a colorful ripple.

Creative scholars are challenged into building a model of their own city of Berkeley.

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