Mathematics

Regardless of the student or age, we aim to foster critical thinking and problem solving skills that are appropriate for the course yet universal in application. We seek to develop a sense of fluency in working with numbers, graphs, and aesthetic appreciation for mathematics as an art rather than a science. Math is more than a tool to be used by other disciplines, and by showing the beauty in the subject, students can appreciate it more fully.Mathematics Department Mission Statement

Sample Courses

Baseball and Statistics

The vision for this course is to explore baseball and statistics. Most boys are familiar with baseball and have watched or played it for years. There is a great opportunity to explore many concepts of elementary statistics through the lens of baseball. Baseball offers us an opportunity to explore the following concepts of mathematics/statistics: distributions, probability, graphs, expectations. We will also explore how the game has changed through the years and get an introduction to programming in R, a statistical software package widely used in baseball analysis.

Honors Geometry

This course covers all traditional topics of Euclidian geometry with special emphasis on definition and formal proof. It will include a study of non-Euclidian geometry and as time permits a portion of trigonometry with an emphasis on applications.

Precalculus

This course continues the study of Algebra II through polynomials, systematic counting and probability. The course also presents a full study of Trigonometry. Some work with sequence and series and some math modeling is presented.

BC Calculus

This course completes the study of the syllabus for the AP exam in BC Calculus. The course begins with a review of the derivative and its applications. The course then covers additional applications of differential calculus, the definite integral and its applications, computation of antiderivatives, series, and Taylor’s formula, and some work on solving simple differential equations. All students are expected to take the AP exam.

Number Theory

Number theory is the study of the most basic properties of the whole numbers. Its goal is to answer questions like “How many prime numbers are there? How many ways can you factor a whole number? How can you find the greatest common divisor of two numbers?” On the other hand, cryptography is the study of how to send information that can be read only by the intended recipient. One of the remarkable discoveries of the 1970s was the discovery that these two seemingly unrelated disciplines were in fact entwined and that safe and secure cryptographic methods required the use of number theory. The purpose of this class is to provide an introduction to number theory, an historical overview of cryptography and then discuss how the seemingly abstract methods of number theory have profound application in cryptography.

Sample Coordinate Courses

Graph Game Theory

Offered at Roland Park Country School, Graph theory and game theory is a topics course designed to extend students’ problem-solving skills by exposing them to a vast array of mathematical ideas. Students will explore the power of mathematics beyond and outside of the traditional pre-calculus/calculus sequence. Students will study a variety of networking applications such as Euler circuits, Hamilton circuits and traveling salesman problems, and scheduling using critical paths. Additional course topics include: matrix applications, probability and odds, permutations and combinations, and a selection of problems and strategies from traditional game theory.

Discrete Math

Offered at The Bryn Mawr School, discrete mathematics answers the "when will I ever use math" question. Discrete mathematics has applications in a wide and diverse range of interesting fields, including architecture, interior design, art, business, transportation and scheduling, politics and government, city planning, international policies, economics, sports, entertainment, and computer security. In this course, topics covered will include matrices and Markov chains, graph theory, linear programming, optimization, voting methods, game theory and fairness, and codes and cryptography. Students will be researching new mathematical ideas and practicing new mathematical techniques, as well as completing projects and written assignments to investigate specific applications of discrete mathematics.

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