promoting academic excellence

DaVinci Camp

#### Courses

### NUMB3RS (Q & 𝕌NIFIED)

Theory and Practice

Develops pre-algebra skills using number theory to build a strong foundation for the future study of algebra and geometry. Note that Q NUMBERS is the continuation of the NUMBERS course with an emphasis on rational numbers and problem solving - fractions! 𝕌NIFIED NUMBERS is equivalent to a combination of the both courses.

(rising 6th and 7th grades)

### LEπERS (CAPITAL & METRIC)

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

Presents methodology and procedures to develop advanced algebraic skills essential for the study of higher mathematics. Note that CAPITAL LETTERS is the continuation of LETTERS and introduces topics such as advanced factoring techniques and rational functions. METRIC LETTERS is the third course in the LETTERS series. It combines geometry, analytic trigonometry and higher algebra.

(rising 7th through 11th grades)

### PICTUR S

≅

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 7th through 9th grades)

### W∅RDS

Modeling & Problem Solving

Presents methodology, procedures and strategies to tackle problems arising in arithmetic, algebra, geometry, combinatorics and probability. (rising 8th through 10th 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/Pre-Calculus. (rising 9th through 11th grades)

### DEATHLY HΔLL⊙WS

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/PreCalculus or Calculus.

(rising 10th and 11th grades)

POWERS

### INFINITΣ

…they are inevitable

Introduces and develops the application of power series to the study of rational, irrational, and transcendental functions. Recommended for students who have completed Algebra II, Pre-Calculus, or Calculus. (rising 10th through graduating seniors)

### HϒPATIA

…to understand the things that are at our door is the best preparation for understanding those that lie beyond. – Hypatia

This course is a pre-calculus class equivalent to a combination of IN-N-OUT and DEATHLY HALLOWS. Covers analytic trigonometry as well as the properties and graphs, transformations and compositions of algebraic and elementary transcendental functions. Recommended for students who will take pre-calculus or calculus.

(rising 10th -12th grades, Modus Bestia)

### AP⊙LLoNIUS

Noli turbare circulos meos! (Do not disturb my circles!) - Archimedes

This course combines DEATHLY HALLOWS and METRIC LETTERS to connect higher algebra with analytic geometry and trigonometry creating a rich mathematical foundation for advanced study. Recommended for students who will take pre-calculus or calculus. (rising 11th -12th grades, Modus Bestia)

### TRANSCΣNDENCE

It is impossible to be a mathematician without being a poet in soul. – Sofya Kovalevskaya

This course combines INFINITE POWERS and DEATHLY HALLOWS to develop an advanced and thorough understanding of early transcendental functions and their applications in higher mathematics. Recommended for students who will take pre-calculus or calculus. (rising 11th -12th grades, Modus Bestia)

∫

### I AAC & GOTT⨍RIED

The ABC’s of Advanced Mathematics

Develops the ideas and methods of the calculus of Sir Isaac Newton and Gottfried Wilhelm Leibniz. The course is equivalent to university level calculus. Recommended for students who have taken pre-calculus or an introductory calculus course. (rising 11th through graduating seniors, Modus Bestia)

### THE MΛTRIX

The Matrix is everywhere. It is all around Maths…

Presents and develops the theory of Linear Algebra and its applications through the study of vector spaces and matrices. Recommended for students who have completed at least one year of calculus or a course equivalent to calculus AB or calculus BC. (rising 11th, 12th grade and graduating seniors, Modus Bestia)

### RINCIPIA

℘

hypotheses non fingo - Isaac Newton

Develops Newtonian mechanics with emphasis on mathematical physics and on problem solving techniques. This course has a minimum prerequisite of Calculus AB or equivalent. (Only rising 12th grade and graduating seniors, Modus Bestia)

### LEπERS (CAPITAL & METRIC)

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

Presents methodology and procedures to develop advanced algebraic skills essential for the study of higher mathematics. Note that CAPITAL LETTERS is the continuation of LETTERS and introduces topics such as advanced factoring techniques and rational functions. METRIC LETTERS is the third course in the LETTERS series. It combines geometry, analytic trigonometry and higher algebra.

(rising 7th through 11th grades)

### PICTUR S

≅

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 7th through 9th grades)

### W∅RDS

Modeling & Problem Solving

Presents methodology, procedures and strategies to tackle problems arising in arithmetic, algebra, geometry, combinatorics and probability. (rising 8th through 10th 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/Pre-Calculus. (rising 9th through 11th grades)

### DEATHLY HΔLL⊙WS

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/PreCalculus or Calculus.

(rising 10th and 11th grades)

POWERS

### INFINITΣ

…they are inevitable

Introduces and develops the application of power series to the study of rational, irrational, and transcendental functions. Recommended for students who have completed Algebra II, Pre-Calculus, or Calculus. (rising 10th through graduating seniors)

### HϒPATIA

…to understand the things that are at our door is the best preparation for understanding those that lie beyond. – Hypatia

This course is a pre-calculus class equivalent to a combination of IN-N-OUT and DEATHLY HALLOWS. Covers analytic trigonometry as well as the properties and graphs, transformations and compositions of algebraic and elementary transcendental functions. Recommended for students who will take pre-calculus or calculus.

(rising 10th -12th grades, Modus Bestia)

### AP⊙LLoNIUS

Noli turbare circulos meos! (Do not disturb my circles!) - Archimedes

This course combines DEATHLY HALLOWS and METRIC LETTERS to connect higher algebra with analytic geometry and trigonometry creating a rich mathematical foundation for advanced study. Recommended for students who will take pre-calculus or calculus. (rising 11th -12th grades, Modus Bestia)

### TRANSCΣNDENCE

It is impossible to be a mathematician without being a poet in soul. – Sofya Kovalevskaya

This course combines INFINITE POWERS and DEATHLY HALLOWS to develop an advanced and thorough understanding of early transcendental functions and their applications in higher mathematics. Recommended for students who will take pre-calculus or calculus. (rising 11th -12th grades, Modus Bestia)

∫

### I AAC & GOTT⨍RIED

The ABC’s of Advanced Mathematics

Develops the ideas and methods of the calculus of Sir Isaac Newton and Gottfried Wilhelm Leibniz. The course is equivalent to university level calculus. Recommended for students who have taken pre-calculus or an introductory calculus course. (rising 11th through graduating seniors, Modus Bestia)

#### Courses

### INFINITΣ

### NUMB3RS (Q & 𝕌NIFIED)

Theory and Practice

Develops pre-algebra skills using number theory to build a strong foundation for the future study of algebra and geometry. Note that Q NUMBERS is the continuation of the NUMBERS course with an emphasis on rational numbers and problem solving - fractions! 𝕌NIFIED NUMBERS is equivalent to a combination of the both courses.

(rising 6th and 7th grades)

### LEπERS (CAPITAL & METRIC)

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

Presents methodology and procedures to develop advanced algebraic skills essential for the study of higher mathematics. Note that CAPITAL LETTERS is the continuation of LETTERS and introduces topics such as advanced factoring techniques and rational functions. METRIC LETTERS is the third course in the LETTERS series. It combines geometry, analytic trigonometry and higher algebra.

(rising 7th through 11th grades)

### PICTUR S

≅

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 7th through 9th grades)

### W∅RDS

Modeling & Problem Solving

Presents methodology, procedures and strategies to tackle problems arising in arithmetic, algebra, geometry, combinatorics and probability. (rising 8th through 10th 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/Pre-Calculus. (rising 9th through 11th grades)

### DEATHLY HΔLL⊙WS

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/PreCalculus or Calculus.

(rising 10th and 11th grades)

POWERS

…they are inevitable

Introduces and develops the application of power series to the study of rational, irrational, and transcendental functions. Recommended for students who have completed Algebra II, Pre-Calculus, or Calculus. (rising 10th through graduating seniors)

### ANALYTIKOς

...the universe is written in mathematical language, and the letters are triangles, circles and other geometrical figures...

This course combines ideas and results from geometry, analytic trigonometry and higher algebra to introduce students to advanced analysis and analytic problem solving. Recommended for students who will take pre-calculus or calculus.

(rising 10th -12th grades)

### GΛUSS

Mathematics is a game played according to certain simple rules with meaningless marks on paper.

– David Hilbert

This course combines Q NUMBERS and LETTERS connecting advanced arithmetic and algebra to develop a strong mathematical foundation. Recommended for students who will take pre-algebra or algebra.

(rising 6th - 8th grades, Modus Bestia)

### GAL⊙IS

The essence of mathematics lies in it's freedom – Georg Cantor

This course combines CAPITAL LETTERS and IN-N-OUT to develop an advanced and thorough understanding of algebra as well as the properties and graphs, transformations and compositions of algebraic and elementary transcendental functions. Recommended for students who will take pre-calculus.

(rising 10th -12th grades, Modus Bestia)

### HϒPATIA

…to understand the things that are at our door is the best preparation for understanding those that lie beyond. – Hypatia

This course is a pre-calculus class equivalent to a combination of IN-N-OUT and DEATHLY HALLOWS. Covers analytic trigonometry as well as the properties and graphs, transformations and compositions of algebraic and elementary transcendental functions. Recommended for students who will take pre-calculus or calculus.

(rising 10th -12th grades, Modus Bestia)

### AP⊙LLoNIUS

Noli turbare circulos meos! (Do not disturb my circles!) - Archimedes

This course combines DEATHLY HALLOWS and ANALYTIKOS to connect higher algebra with analytic geometry and trigonometry creating a rich mathematical foundation for advanced study. Recommended for students who will take pre-calculus or calculus. (rising 11th -12th grades, Modus Bestia)

### TRANSCΣNDENCE

It is impossible to be a mathematician without being a poet in soul. – Sofya Kovalevskaya

This course combines INFINITE POWERS and DEATHLY HALLOWS to develop an advanced and thorough understanding of early transcendental functions and their applications in higher mathematics. Recommended for students who will take pre-calculus or calculus. (rising 11th -12th grades, Modus Bestia)

∫

### I AAC & GOTT⨍RIED

The ABC’s of Advanced Mathematics

Develops the ideas and methods of the calculus of Sir Isaac Newton and Gottfried Wilhelm Leibniz. The course is equivalent to university level calculus. Recommended for students who have taken pre-calculus or an introductory calculus course. (rising 11th through graduating seniors, Modus Bestia)

### THE MΛTRIX

The Matrix is everywhere. It is all around Maths…

Presents and develops the theory of Linear Algebra and its applications through the study of vector spaces and matrices. Recommended for students who have completed at least one year of calculus or a course equivalent to calculus AB or calculus BC. (rising 11th, 12th grade and graduating seniors, Modus Bestia)

℘

### RINCIPIA

hypotheses non fingo - Isaac Newton

Develops Newtonian mechanics with emphasis on mathematical physics and on problem solving techniques. This course has a minimum prerequisite of Calculus AB or equivalent. (Only rising 12th grade and graduating seniors, Modus Bestia)