M112 Algebra I
This course will provide students with a deeper knowledge and understanding of the real number system and its properties through the study of variables, expressions, equations, inequalities, and analysis of data derived from real-world applications. Emphasis is placed on the relationships between numerical, graphical and symbolic approaches, drawing connections to real-world applications and models. Topics include linear equations and inequalities, linear systems, relations, functions, polynomials and factoring, graphical transformations, graphing applications, as well as data display and analysis. The skills emphasized in Algebra I provide a formal development of the algebraic skills and concepts necessary for students to succeed in advanced courses.
M113 Algebra I
This course is based on M112 but moves at a slower pace to accommodate different learning styles. It is expected that students in this course will continue to M223, which incorporates algebra topics into the study of geometry.
M222 Geometry
This course will provide students with a base in the concepts of geometry. Emphasis is placed on the geometric proof and logical thinking. Properties of parallel lines, circles and polygons will be fully explored. Translations in the coordinate plane as well as measurements will be studied. Algebra will be heavily used throughout the course and a review will be done in preparation for M322. Prerequisite: Successful completion of Algebra I
M331 Algebra II and Trigonometry Honors
Through the Rule of Four, this honors course focuses on functions and their properties. Linear, quadratic, polynomial, exponential, logarithmic, trigonometric, rational and inverse functions will be fully explored. This course involves extensive use of the TI-84Plus CE graphing calculator. Prerequisite: Algebra I and Geometry with permission of the Mathematics Department Chair and the Director of Studies.
M332 Algebra II
This course will focus on functions and the Rule of Four. Linear, quadratic, polynomial, exponential, logarithmic and inverse functions will be fully explored. This course involves extensive use of the TI-84Plus CE graphing calculator. Prerequisite: Algebra I and Geometry
M440 Introduction to Precalculus
This course is designed to solidify students’ algebraic foundation in preparation for precalculus. Topics include an in-depth review of the functions that were studied in algebra and additional topics include rational expressions, inequalities, complex numbers, parent functions, higher degree polynomial, zeros of polynomial functions and inverse functions. This course is designed for V Formers to prepare them for M441. This course involves extensive use of the TI-84Plus CE graphing calculator. Prerequisite: Algebra II
M441 Precalculus Honors
This course is a springboard to AP Calculus AB. Complex functions including polynomial, radical, linear, rational, exponential, logarithmic and trigonometric functions are analyzed at complex levels. Systems, inverse functions, transformations, and combinations are reviewed. Trigonometry includes identities, verifying, solving, sum and difference formulas, Law of Sins and Cosines and introduction of vectors. Limits and continuity are introduced so that derivatives can be explored. This course involves extensive use of the TI-84Plus CE graphing calculator. Prerequisite: Algebra II and Trigonometry Honors (grade required: B+) with permission of the Mathematics Department Chair and the Director of Studies.
M442 Precalculus
This course provides preparation for the study of calculus. Students will solidify their foundation by going deeper into the study of functions and adding trigonometric functions to their knowledge base. The Rule of Four is still a focus and probability along with conics will be introduced. This course involves extensive use of the TI-84Plus CE graphing calculator. Prerequisite: Algebra II
M441AC Honors Accelerated Precalculus with Calculus
In this honors course, students will extend topics introduced in Algebra II and Trigonometry Honors. The topics of Honors Precalculus are studied in greater depth, including a more intensive study of graphs of combinations of functions, the inverse trigonometric functions, identities, and trigonometric equations. In addition, students are regularly expected to solve more challenging and complex problems. This course is designed to prepare students for AP Calculus BC. Prerequisite: Algebra II and Trigonometry Honors (grade required: A-) with permission of the Mathematics Department Chair and the Director of Studies.
M44P Personal Finance
The purpose of this course is to increase each student’s level of financial literacy and to provide him with the basic tools and knowledge that will help him lead a financially productive and responsible life. Whether or not each student plans on running a business at some time in his life, he will, at the very least, run one very important enterprise: himself. This course will cover personal banking, borrowing, budgeting, investing, financial planning, insurance and taxes. Each student will learn the necessary basics of managing money for when he enters the adult world.
M422P Probability and Statistics
This course provides an introduction to probability modeling and statistical inference. It is focused around five major ideas: 1. Data consists of structure and variance 2. Distribution describes variability 3. Hypothesis tests answer the question, “Could this have happened by chance?” 4. The way in which data is collected matters and 5. Evaluating an estimator involves considering bias, precision and the sampling method. Prerequisite: Algebra II. Open to VI Formers
M442D Discrete Mathematics
This course will use problem solving and reasoning skills to explore areas of mathematics not traditionally covered in earlier courses of study. It is the study of mathematics dealing with objects that have some distinct separate values that lends itself to a wide variety of real world applications. Topics will include counting and sorting techniques, the exploration of combinations, game strategies, the appropriate use of the building tree diagrams and the applications of networking. Several calculus concepts, including the first derivative, are employed to study business systems and investment trends. This course involves extensive use of the TI-84Plus CE graphing calculator. Prerequisite: Algebra II. Open to VI Formers
M552 Calculus
This is a non-advanced placement course that introduces students to the two main ideas of Calculus: differentiation and integration. An emphasis is placed on application of the techniques taught in Calculus to solving business and scientific problems. This course involves extensive use of the TI-84Plus CE graphing calculator. Prerequisite: Precalculus
M555 Honors Calculus
Honors Calculus is designed to go in-depth into differential and integral calculus of one variable. The course also explores meaningful applications of differentiation and integration. It places an emphasis on theoretical understanding as well as on mastering technical skills. While this course covers many of the same concepts found in AP Calculus, it is not bound by the pace and rigor necessary for success on the AP Calculus exam. Prerequisites: Honors Accelerated Precalculus with Calculus (grade required: B), Precalculus Honors (grade required: B), Precalculus (grade required: A), with permission of the Mathematics Department Chair and the Director of Studies.
M551 Advanced Placement Calculus AB
This course follows the national curriculum for AP Calculus AB and prepares students for the Advanced Placement test in May. In addition to the national curriculum, this course emphasizes problem solving, collaboration and alternative assessments. This course involves extensive use of the TI-84Plus CE graphing calculator. Prerequisite: Honors Accelerated Precalculus with Calculus (grade required: A-) Precalculus Honors (grade required: A-), Precalculus (grade required: A), or Calculus (grade required: A-) with permission of the Mathematics Department Chair and the Director of Studies.
M661 Advanced Placement Calculus BC
This course follows the national curriculum for AP Calculus BC and prepares students for the Advanced Placement test in May. In addition to the national curriculum, this course emphasizes problem solving, collaboration and alternative assessments. This course involves extensive use of the TI-84 Plus CE graphing calculator. Prerequisite: Honors Accelerated Precalculus with Calculus (grade required: A-) Precalculus Honors (grade required: A) or AP Calculus AB (grade required B+)
M771 Advanced Placement Statistics
This course follows the national curriculum for AP Statistics and prepares students for the Advanced Placement test in May. In addition to the national curriculum, this course emphasizes problem solving, collaboration and alternative assessments. This course requires extensive use of the TI-84 Plus CE graphing calculator. Prerequisite: Precalculus with permission of the Mathematics Department Chair and the Director of Studies.
M881 Multivariable Calculus
This course is a thorough introduction to multivariable calculus and mathematical methods used to solve problems in three dimensions. Topics include limits, continuity and differentiability in several variables, Lagrange’s multipliers, Taylor theorem, multiple integrals as well as integration on curves and surfaces. Green’s, Stokes’ and divergence theorems are also explored. While the course emphasizes concrete computations over proof, it demands that students move beyond thinking of mathematics as a set of rules and algorithms to memorize and encourages students to approach problems with greater independence and maturity. This course involves extensive use of the TI-84 Plus CE Graphing Calculator. Prerequisite: AP Calculus BC