• These courses are devoted to developing a toolkit of functions that serves as a bridge between mathematics and the world it models. The toolkit includes explicitly defined functions such as exponential, polynomial, logarithmic, and trigonometric functions, as well as functions that are defined recursively and parametrically. Students investigate functions, bivariate data, and models with graphing calculators and computers. 

• Both graphical and analytical approaches to problem solving are emphasized. 

• Students also complete lab activities and present their results in formal written reports. 

• Precalculus & Modeling w/Advanced Topics I/II is a yearlong course. Students must enroll in both semesters when registering. 

MA 4042 Calculus I

• This course provides students with an introduction to the concepts of differential calculus and the applications of calculus to mathematical modeling. Through class discussions, problem solving, laboratory experiences, and writing assignments students discover the important concepts of calculus, develop an understanding of these concepts, and use these concepts in solving realistic problems. Topics typically covered include the concept of a limit, the derivative, local linearity of functions, linear approximations, applications of the derivative, L'Hopital's rule, an introduction to integration and integration techniques. 

• This course generally includes the completion of a substantial mathematical modeling project. Calculators and computers are used as tools in the course. 

• This is one part of a 2-semester course sequence; students must enroll in both semesters when registering. 

MA 4046 Calculus II

• This course continues the accelerated study of calculus and its applications to mathematical modeling from Calculus I. Through class discussions, problem solving, laboratory experiences, and writing assignments students discover the important concepts of calculus, develop an understanding of these concepts, and use these concepts in solving realistic problems. Topics typically covered include an introduction to differential equations, slope fields, Euler's method, definite and indefinite integrals, numerical approximations of integrals, advanced integration techniques, applications of integrals, Taylor polynomials, and series (including power series). 

• This course generally includes the completion of a substantial mathematical modeling project. Calculators and computers are used as tools in the course. 

• This is the second part of a 2-semester course sequence; students must enroll in both semesters when registering. 

MA 4044 Calculus II with AP Exam Prep

• This course is identical to Calculus II, except that students enrolled in Calculus II with AP Exam Prep are also enrolled into the Calculus II Exam Prep Co-requisite and plan to take the AP Calculus BC exam.

• Students in Calculus II and Calculus II with AP Exam Prep will be in the same classroom for the course. If a student would like to drop Calculus II Exam Prep, then their core course would change to Calculus II without a change in block.

• In this course students examine what differential equations are and how they are used to model real-world phenomena. They also look at different techniques for solving differential equations and interpret their solutions in a real world context. Matrices and vector functions will be utilized to help prepare students for future coursework in Calculus and Linear Algebra. 

• Analytical methods, geometric methods, and numerical methods are included. Technology is an important component of the course.

• If you would like to learn more, check this video!

This course includes the theory and application of vector functions and partial derivatives. Topics include a vector approach to regression modeling, the Frenet-Serret equations, continuity and differentiability of functions of several variables, gradients and directional derivatives, and classic optimization problems. Numerical methods such as Newton's Method for solving nonlinear systems and modeling with vector-valued functions of scalar and scalar-valued functions of a vector are included.

If you want to learn more, check this this video! 

This course, which requires familiarity with a programming language, introduces students to the theory and practice of computational methods to analyze mathematical problems. Topics include computer arithmetic and computational error, function approximation, numerical differentiation and integration, curve-fitting, solving non-linear equations and systems of equations, and numerical solutions to ordinary differential equations. This course is the equivalent of a one-semester university course in numerical analysis.

If you want to learn more, check this this video! 

This year long course constitute a comprehensive introduction to statistics and include all of the topics on the AP Statistics syllabus, with an emphasis on mathematical modeling.  It introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students cultivate their understanding of statistics using technology, investigations, problem solving, and writing as they explore concepts like variation and distribution; patterns and uncertainty; and data-based predictions, decisions, and conclusions.

If you would like to learn more, check this video!

This course combines three perspectives: inferential thinking, computational thinking, and real-world relevance. Given data arising from some real-world phenomenon, how does one analyze that data so as to understand that phenomenon? The course teaches critical concepts and skills in computer programming and statistical inference, in conjunction with hands-on analysis of real-world datasets, including economic data, document collections, geographical data, and social networks. It delves into social issues surrounding data analysis such as privacy and design.

If you would like to learn more, check this video!

This course introduces students to cryptographic methods used to encipher and decipher secret messages with an emphasis on using computer programming to automate the process. Through class discussions, problem solving, group activities, and programming assignments, students will learn a variety of encryption schemes ranging from the age of Caesar to modern public key encryption used to secure digital communications online. Students will learn introductory number theory and statistics to describe these methods and identify weaknesses that allow secret messages to be read without the key. Students will also learn programming topics such as variables, functions, conditional logic, looping, and file input/output in the Python language to implement each cryptographic method. This course will utilize a blended learning environment with large portions of material being taught online and utilizing in class time for working in groups.

If you would like to learn more, check this video!

This course offers students an overview of a number of applications of mathematics, especially those topics that relate to the concept of fair and just relations between the individual and society. Topics covered include fair division of resources and costs, voting methods, apportionment of legislative bodies, power of voting coalitions, and introductory graph theory. The course will also extend students' knowledge of matrices and their use in applications related to the social sciences. 

If you would like to learn more, check this video!

Students with advanced mathematical knowledge are introduced to the creative and analytic aspects of modeling real-world phenomena. Models from engineering, biology, political science, management science, and everyday life are examined through a variety of techniques. When presented with a situation, students learn to develop, test, and revise an appropriate model. The course is project-oriented and focuses on applying the mathematics students already know. Group work is required, and students present their work in extensive written reports.

If you would like to learn more, check this video! 

This course is a survey of topics involving complex systems and modern networks. Some of the topics studied in the course are fractals and iterated function systems, chaos and chaotic behavior, cellular automata and self-organization, genetic algorithms and neural networks. Web applications and computer programs are essential tools of the course. Familiarity with programming is advantageous but not necessary.

If you would like to learn more, check this video! 

This is a college-level mathematics course that introduces students to some of the major topics in combinatorics. Topics include permutations and combinations, binomial and multinomial expansions, inclusion-exclusion, methods of generating functions, recursive equations, and economic game theory.

If you would like to learn more, check this video! 

Selected topics from number theory, abstract algebra, and advanced combinatorics, are studied. They include divisibility properties of integers, special properties of prime numbers, congruences, Euler's Phi function, and some applications to fields such as cryptography and computer science. Students are expected to enter this course with previous experience in proof writing. Students with programming experience are encouraged to use this tool to investigate some of the ideas presented in the course. Strong interest and talent in mathematics are required.

If you would like to learn more, check this video! 

This course is a study of systems of linear equations, matrices, vectors, vector spaces, linear transformations, eigenvalues, eigenvectors, orthogonality and matrix decompositions. This course will focus on applications including least-squares solutions, Markov chains, and systems of linear differential equations as well as proof writing.

An introduction to formal mathematical proofs and research in mathematics in the field of graph theory.  This course develops the theory and application of graphs, a major area of modern mathematics, and also provides an introduction to mathematical proof and research. Students develop their ability to make thoughtful conjectures, and to verify those conjectures with valid mathematical arguments. This is done by considering questions of graph structures and colorings,properties of graphs, and some open questions in the field. Students are then required to investigate an open problem in which they demonstrate their ability to make conjectures and to write concise, complete, and coherent proofs. Strong interest and talent in mathematics are required.

If you would like to learn more, check this video! 

Research in Mathematics

• Work in a small research group on an open problem in mathematics. Emphasis will be placed on writing and presenting your research, leading up to our participation in the schoolwide Research Symposium.  

Research in Mathematics II

• Continue your research project from Research in Mathematics. Students will write a formal mathematics research paper, and if the results warrant, submit it for publication.

If you would like to learn more, check this video !