Precalculus
Statistics
Advanced Placement Calculus BC
This course prepares students for a rigorous course in calculus. Students in Precalculus should want the type of challenge that this course affords and are expected to work independently. Topics that are covered include trigonometric, exponential, logarithmic, polynomial and rational functions and their graphs. An introduction to limits through sequences and series also is included, with the last portion of the course providing an introduction to the derivative, time permitting.
Statistics offers students an introduction to the basic concepts of statistics and probability. Topics include graphical displays of data, measures of central tendency and variability, the elements of experimental design and observational study, and the fundamentals of probability, random variables, probability distributions, confidence intervals, hypothesis testing and linear regression. This course focuses on the many applications of statistics in the natural and social sciences and makes extensive use of the graphing calculator and the computer. Open to students in Form 6 who have completed Algebra 2 and students in Form 5 with department approval.
This course is designed to cover all of the material of the first two semesters of a college calculus course. The focus is on the derivative and integral and their applications, including maximum and minimum problems, velocity and acceleration, related rates, the differential and linear approximations, areas and volumes, and curve sketching. Work with conic sections; polynomial, rational, trigonometric and exponential functions; and parametric equations and polar equations is involved. Separable differential equations and sequences and series also are part of the course. Students in this course take the Calculus BC Advanced Placement Examination in May. Department recommendation required.
Precalculus Honors This course begins where Algebra 2 Honors finishes. Students complete a detailed study of trigonometric functions and their applications. In addition to the remaining topics covered in Precalculus, the focus of the course during the second half of the year is on the introduction to calculus, including the derivative and its applications, in preparation for Advanced Placement Calculus. Department recommendation required.
Discrete Mathematics 1 (Fall) This fall semester course provides an introduction to the applications of contemporary mathematics to real-world problems. Topics in Discrete Mathematics 1 include linear programming, decision paths and circuits, scheduling optimization, recursion, growth and decay, and fractals and chaos. Students are exposed to a variety of problem-solving strategies and techniques with emphasis on applications from the business world, government, and social and biological sciences. Students in the class use the graphing calculator and the computer to model problems presented in the course. Open to students in Form 6 who have completed Algebra 2 and students in Form 5 with department approval.
Discrete Mathematics 2 (Spring) This spring semester course provides a continued introduction to the many applications of contemporary mathematics in the areas of business, government, economics, and social and biological sciences. Students explore methods of voting, fair division, game theory and mathematics as they apply to sharing, rational decisions, and greed and cooperation. Students investigate mathematical models used in studying population dynamics and look at natality and mortality rates, density dependence, predation and sustainability. Throughout this course, students use calculators and computers to model problems. Open to students in Form 6 who have completed Algebra 2 and students in Form 5 with department approval.
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Advanced Placement Statistics This noncalculus-based course encompasses the material covered in a first semester college-level statistics course. The conceptual themes that students are exposed to are exploratory analysis of data, planning an appropriate data-collection study, producing models using probability and simulation, and using statistical inference to guide conclusions. Students use statistical modeling tools to solve a variety of problems in topics such as economics, the physical and biological sciences, law, geography and political science. The course is designed to prepare students for the Advanced Placement Examination in Statistics, which they take in May. The course makes extensive use of the graphing calculator and the computer. Open to students in Forms 5-6 with department recommendation.
Calculus This course covers the traditional topics of differential and integral calculus. Students begin the year with a review of families of functions and trigonometry before moving on to the study of limits, continuity, the derivative, the definite integral and their many related applications in the social and natural sciences. Algebraic and problem-solving skills are reinforced throughout the year, preparing students for continued study of calculus in college. Department recommendation required.
Introduction to Computer Science (Fall) This elective is an entry/intermediate-level computer programming course that introduces the basic principles of generating computer code with clarity and elegance. Classroom projects include textbook exercises, simple text-based gaming and fundamental graphics. Program structure, conditionals, looping and style are presented in this course using the Java programming language. Since Java is based upon object-oriented modeling and problem solving, this course covers the fundamentals of using the OOP approach with Java: objects, classes, methods, data
Upper Prep
Upper Prep Mathematics
Form 1
Form 1 Mathematics
Introduction to Web Design (Spring) This elective introduces the basics of Web design and development. Students learn a variety of Web development tools and how they work together to create dynamic, user-friendly Web pages. These tools range from learning how to write code in several languages to creating user interfaces to designing attractive templates for a Web page. For final projects, students work closely with the instructor or other interested faculty members to create a dynamic site to be used the following year as an academic tool for other courses. This course has no prerequisites, although students are encouraged to have taken Introduction to Computer Science. This semester course is offered every other year during odd-even school years.
Advanced Computer Science: Algorithms and Artificial Intelligence (Spring) This elective is an advanced-level programming course that allows students to explore algorithms and artificial intelligence using the Java programming language. During the first half of the course, students examine different methods of algorithm design while also implementing some of their own algorithms
Beginning Algebra
Form 2 Algebra 1 Algebra 1
Form 3 Geometry
Advanced Placement Calculus AB This course begins with topics in differential calculus, including limits, continuity and techniques of differentiation. Applications of the derivative in problem solving, identical to those in Calculus BC, are then covered. The second half of the course covers topics in integral calculus, beginning with Riemann sums and the Fundamental Theorem of Calculus and techniques of integration, and ends with the consideration of a range of applications of the integral. Students in this course take the Calculus AB Advanced Placement Examination in May. Department recommendation required.
types, application and applet design. This course work provides a possible lead into further studies in the Advanced Placement Computer Science course.
FALL Introduction to Computer Science
(Reg., Adv., Honors)
Algebra 2 (Reg., Adv., Honors)
Form 6
Functions and Trig.
Precalculus
Statistics
(Reg., Honors)
(Reg., AP)
Calculus (Reg., AB, BC)
Discrete Math
spring Introduction to Web Design SPRING Adv. Computer Science: Algor. and A.I. Advanced Placement Computer Science
key: Upper Prep = grade 6, Form 1 = grade 7, Form 2 = grade 8, Form 3 = grade 9, Form 4 = grade 10, Form 5 = grade 11, Form 6 = grade 12 ko course of study 2013-2014
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