**MATHEMATICS DEPARTMENT**
The primary objective of the mathematics program
is to contribute to the total education of the student
with course offerings that present a strong preparation,
both in concepts and skills, for his or her future
needs. The following programs are subject to constant
study and review and revisions are made when necessary.

**ALGEBRA I**
This course introduces the student to the basic
structure of mathematics through a thorough study
of the real number system. An understanding of the
concepts and mastery of necessary skills is emphasized
throughout. The need for precision and exactness
in expression and thought is constantly stressed.
Other topics covered are equations, inequalities,
rational and irrational expressions.

**GEOMETRY**
In this course the aims begun in Algebra I are
continued and carried out to a greater degree.
This is accomplished
through the study of triangles, quadrilaterals,
polygons, circles, prisms, pyramids, cylinders,
cones and spheres. The students’ power of
spatial visualization is developed through the
integration
of space geometry with plane geometry throughout
the course.

**ALGEBRA II AND TRIGONOMETRY**
This course is a continuation of Algebra I with
the repeated topics covered in greater depth than
in the first year. New topics include sequences,
logarithms, complex numbers, and the trigonometric
functions.

**ANALYTICAL GEOMETRY / DIFFERENTIAL CALCULUS**
In the Analytical Geometry course, material is presented
from the Vector and Cartesian viewpoints. This course
includes a thorough treatment of vectors, lines
and conic sections in a plane.

In the Elementary Functions course, the following
functions are covered in detail: polynomial, logarithmic,
and exponential. The basic concepts of calculus
are presented and used in the study of these functions.

**PROBABILITY AND STATISTICS**
This one semester course is primarily for students
whose college courses will not be in math-oriented
fields. Therefore, its goal is to give these students
a basic understanding of probability and statistics
to prepare them for college courses such as economics,
business, education and sociology.

**A.P. CALCULUS/HONORS CALCULUS**
These are college level courses which stress theory,
mechanics and applications in differential and integral
calculus. They prepare the student for future college
math courses and applications in related fields.
They cover the material which satisfies the agreement
with the University of

Scranton
enabling students who successfully complete the
course to receive college credit without examination.
They also prepare students planning to attend other
colleges for the CEEB Advanced Placement examinations,
which they will take at the conclusion of this course.
The A.P. exam is mandatory for students in the A.P.
course and optional for those in the honors course.

**MATH III AND IV - AN ALTERNATE PROGRAM**
This program is designed primarily for the student
who, at the end of second year, is not strong in
mathematics. The material of the regular Math III
program - Algebra II and Trigonometry - is extended
over a three-semester period. A course in Probability
and Statistics in the second semester of fourth
year completes the program. This program gives the
student the necessary college preparatory mathematics
should his future interest be in some mathematically
oriented field.

**ACCELERATED PROGRAM**
There are two ways for students to qualify for the
accelerated math program. The first is for students
who have taken a course in Algebra I in eighth grade.
Based on the results of a qualifying examination
administered at Prep in May, students are given
the opportunity to begin their math program with
Algebra II in the first year, thus enabling them
to complete the pre-calculus program at the end
of their junior year.

Another group of students will qualify for this
programs based on their school record at the end
of freshman year.

All students in the accelerated program will take
Geometry in sophomore year followed by an integrated
course in Algebra II, Trigonometry, and Analytic
Geometry in junior year. These students will then
choose A.P. Calculus or Honors Calculus for senior
year.

To remain in the accelerated program, students must
maintain a sound academic record.