| The Mathematics Department curriculum
is designed to encourage students to develop a rich variety of mathematical
concepts to understand the spatial and quantitative dimensions of
the world in which they live and to appreciate the logical principles
that inform those concepts. The department provides a program of study
that acknowledges different students' varying aptitudes for this discipline.
Therefore, different levels are offered in several courses; placement
in any specific level requires the permission of the department. The
diploma requirement is fulfilled through successful completion of
Geometry and Algebra 2.
(MAT1) MATH 1 ALGEBRA 1
This course introduces students to the power of
mathematical abstraction. Most of the work is grounded in concrete,
real-world situations. We attempt to represent these situations
in as many ways as possible, most importantly using graphs, symbols,
tables, diagrams, and the English language. Topics include a variety
of functions, including linear, quadratic, exponential, rational,
square root, and absolute value. The graphing calculator is used
extensively.
MAGH - Honors,
MAGR - Regular
MATH 2 - GEOMETRY
Students come to this course with a substantial
store of information about geometric relationships gained through
informal experiences. This course will structure and extend their
knowledge base by emphasizing an axiomatic development of these
relationships. Topics include parallel lines, congruent triangles,
polygons, similar figures, circles, and areas and volumes.
MA31 - Honors
MA32 - Regular
MA33 - Foundations
MATH 3 ALGEBRA 2
This course builds upon and extends the skills
developed in Elementary Algebra. Emphasis is placed upon both visual
and symbolic analyses of linear, quadratic and exponential functions.
The graphing calculator is used extensively. Topics include data
analysis, sequences and series, conic sections and the properties
of real numbers.
MA41 - Honors
MA42 - Regular
MA43 - Foundations
MATH 4 - Functions With Mathematical Modeling
Mathematics has provided tools essential to the
solution of problems from a variety of other disciplines including
economics, physics and biology. At the same time, it is an intellectual
discipline whose structure is worthy of study independently of applications.
These complementary facets of mathematics will be studied in this
course. We will analyze data and create abstract mathematical models
to solve problems from the natural and social sciences, and we will
examine in depth the structure and character of polynomial, exponential,
logarithmic and trigonometric functions.
MA51 - A.P.
MA52 - Regular
MA53 - Foundations
MATH 5 - CALCULUS WITH MATHEMATICAL MODELING
We will use limits of infinite processes to develop
differential and integral calculus, and we will use these concepts
to create mathematical models. As in Math 4, the emphases are complementary;
the abstract properties of elementary functions are re-examined
in light of these new techniques, and the problems drawn from the
natural and social sciences provide opportunities to apply these
techniques.
MA5S1 - A.P.
MA5S2 - Regular
(MA5S) MATH 5S - STATISTICS
Statistics is the science of collecting, organizing
and interpreting data. With this in mind, students in this course
will learn how to design experiments, to gather data, and then to
interpret that data. The topics include distributions, sampling,
bias, and hypothesis testing. Computers and graphing calculators
will be used throughout the course. (Prerequisite: Math 4.)
(MA5/6) MATH 5/6 - BC CALCULUS
Limits of infinite processes are used in this course
to study rates of change and areas under curves. The properties
of elementary functions are re-examined in light of the techniques
of differential and integral calculus and are applied to problems
from the natural and social sciences. Topics also include infinite
series and an introduction to differential equations. (Prerequisite:
Math 4 and permission of the Department.) (Prepares students for
the BC Advanced Placement Examination.)
MAT61 - A.P.
MAT62 - Regular
MATH 6 - FURTHER TOPICS IN CALCULUS
The topics developed in calculus are reinforced
and extended. Additional techniques of integration, convergence
and divergence of infinite series, and differential equations are
studied, and programming in BASIC is used extensively. (Prepares
students for the BC Advanced Placement Examination.)
(MAT7F) MATH 7A - ADVANCED TOPICS (Semester
1)
(MAT7S) MATH 7B - ADVANCED TOPICS (Semester 2)
The topics for the Math 7A and Math 7B courses
are determined by the teacher and the students. Topics offered in
the past include abstract algebra, differential equations, multivariable
calculus, probability, advanced geometry, and linear algebra. (Enrollment
by permission of the Department.)
(MADDH) MATH D - INTRO TO DISCRETE MATHEMATICS
WITH MODELING (Half Course)
(MADDF) MATH D - INTRO TO DISCRETE MATHEMATICS WITH MODELING (Semester
1)
(MADDS) MATH D - INTRO TO DISCRETE MATHEMATICS WITH MODELING (Semester
2)
Inspired by problems from the fields of business
and the social sciences, this course focuses on optimization questions:
"How many ATM machines should a bank install to reduce customer
waiting time?" "Is drug testing of college athletes fair?"
"How can we achieve maximum profit?" "How can we
minimize cost?" Topics will include sensitivity analysis, linear
programming, transportation models, networks, and scheduling, regression
analysis, simulation and probability. The computer will be used
extensively. (Prerequisite: Math 4)
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