# Mathematics Department

**ADVANCED ALGEBRA I (312)**

This course begins the honors and advanced programs in Mathematics. The Honors program will require two math courses to be taken in the sophomore year (Honors Geometry and Honors Algebra II). The course covers the real numbers system, algebraic operations, solving linear and quadratic equations and inequalities, graphing equations and inequalities in one and two variables, factoring, rational expressions, functions, relations and the study of polynomials.

Placement by Student Personnel Services; review of standardized test scores; a “B” average in 7th

^{ }and 8th^{ }grades math classes.**ALGEBRA I (313) (318)**

This is a complete Algebra I course taken in one year. It covers the basic skills of Algebra: operations with rational numbers and expressions, polynomials and real numbers, solving linear and quadratic equations, factoring and graphing of linear equations, functions, and relations.

Placement by Student Personnel Services; review of standardized test scores; a “C” or better in the 7th

^{ }and 8th grades math classes.**HONORS ALGEBRA II (336)**

This course covers linear and quadratic functions and their graphs, polynomials, rational and complex numbers, exponential functions, logarithms and arithmetic and geometric sequences. Incoming freshman must take a placement test based on Algebra I.

Placement is by Student Personnel Services; an “A” average in 7th and 8th grade mathematics is recommended, or successful completion of Advanced Algebra I and Advanced Geometry with an “A” in each course and teacher recommendation is required.

**ADVANCED ALGEBRA II (332)**

This course is a study of linear, quadratic, polynomial, rational, radical, exponential and logarithmic functions and an introduction to arithmetic and geometric sequences.

Completion of Advanced Algebra I with a “B” average and teacher recommendation is required.

**ALGEBRA II (333) (338)**

This course is a study of linear, quadratic, polynomial, rational and radical functions and an introduction to exponential functions and logarithms.

Successful completion of Algebra I is required.

**HONORS GEOMETRY (321)**

This course covers topics in plane, solid, and coordinate geometry. Students will illustrate deductive reasoning in two column and paragraph proofs. Definitions, postulates, and theorems about points, lines, planes, angles, parallel and perpendicular lines, triangles, quadrilaterals, polygons, and circles will be covered as well. Congruence and similarity will be treated for certain figures. This course will also cover coordinate geometry, right triangular trigonometry, area and volume of plane and solid figures, and place an emphasis on problem solving in preparation for the SAT’s.

Successful completion of Honors Algebra II with a “B” average and teacher recommendation, or successful completion of Advanced Algebra I with an “A” average and teacher recommendation is required.

**ADVANCED GEOMETRY (322)**

This course is designed to develop an understanding of the concepts of plane geometry. Students will apply definitions, postulates and theorems dealing with lines, angles, polygons and circles to real world situations. Area and volume of plane and solid shapes will be studied. Also covered are the concepts of parallel lines and congruence and similarity of polygons, and the relationship of these concepts to real-world models. There is an emphasis on quadrilaterals and triangles, especially right triangles, coordinate geometry, and right triangle trigonometry. Students are expected to use deductive reasoning in writing proofs, both formal and informal, and also the use of Algebra to solve Geometry problems.

Completion of Advanced Algebra I and Advanced Algebra II with a “B” average.

**GEOMETRY (323) (328)**

This course introduces students to the concept of plane geometry through the study of definitions, postulates and theorems. Topics covered include lines, angles, polygons and circles, as well as area and volume of plane and solid shapes. Students will also study parallel and congruence in similarity of polygons, with emphasis on quadrilaterals and triangles, especially right triangles. Algebra will frequently be used to solve real world problems. Students are expected to develop their deductive reasoning ability through the writing of proofs, formal and informal, and in making conclusions from given information.

Successful completion of Algebra II is required.

**ALGEBRA III/TRIGONOMETRY (343)**

This course is designed as a fourth-year math class for college-bound students. Algebra topics include the following functions: trigonometric, exponential, logarithmic, quadratic, linear, rational and radical. Included are graphs, inverses, transformations, compositions, and operations on functions. Also covered are trigonometric equations and their graphs, angles and radian measures, right and oblique triangles, law of sines and cosines, conic sections and matrices.

Successful completion of Algebra II & Geometry is required.

**HONORS PRECALCULUS (351)**

Major emphasis is on the study of functions, their graphs, and inverses. Functions covered are trigonometric, polynomial, exponential, and logarithmic. The course also includes application of trigonometry, trig identities and equations, complex numbers, and conic sections. Students will use appropriate technology to model real- world problems. A graphing calculator is required for this course.

Successful completion of Honors Geometry and Honors Algebra II with a “B” average and teacher recommendation, or successful completion of Advanced Algebra II with an “A” and teacher recommendation is required.

**ADVANCED PRE-CALCULUS (352)**

The main emphasis will be on the study of functions, inverse functions and their graphs. Polynomial, exponential, logarithmic and trigonometric functions will be covered. Additional topics will include complex numbers, conic sections arithmetic and geometric sequences, and matrices.

Successful completion of Advanced Algebra II and Advanced Geometry with a “B” average and teacher recommendation is required.

**HONORS CALCULUS (341)**

This is a full year course comparable to a first semester college calculus course. Topics include the study of limits (concept, techniques for evaluating limits, continuity and infinite limits), differentiation (definition, basic derivative rules and trigonometric functions, velocity, acceleration, other rates of change, related rates and applications) and integration (basic rules, trigonometric function and applications). A graphing calculator is required for this course.

Successful completion of Honors Pre-Calculus with a “B” average and teacher recommendation, or successful completion of Advanced Pre-Calculus with an “A” average and teacher recommendation is required.

**AP CALCULUS (361)**

This class is a first semester calculus course. Topics include the study of limits (concept, techniques for evaluating limits, continuity, and infinite limits), differentiation (definition, derivative rules, trigonometric functions, velocity, acceleration, other rates of change, related rates and applications) and integration (integration rules, trigonometric functions, applications, region between two curves and volume using the disk method). This course will prepare students to take the Advanced Placement Calculus A/B exam for possible college credit.

Successful completion of Honors Pre-Calculus with a “B” average and teacher recommendation is required.

**Students are required to take the AP exam.**

**SURVEY OF MATHEMATICS (Formerly Topics in Algebra) (363)**

This is an introductory, quantitative reasoning college course that will prepare students for future mathematics classes and careers by helping them become better mathematical problem solvers. This course will help students develop and use mathematical models to describe and understand real-life situations. Topics covered in this course include percent change, problem solving, linear equations, quadratics, exponential functions, basic data analysis, critical thinking, real-life applications of mathematical concepts, Statistics, and Probability. Students will earn high school credits and are eligible to receive college credits as well, as long as their

**final grade is a C or better.**This is a dual credit course with Stockton University at a cost of $400 Successful completion of Algebra II and Geometry is required.

**ADVANCED PROBABILITY AND STATISTICS (364)**

This course will introduce students to the concepts of Probability and Statistics. Concepts covered in this course will include: Simple and Compound Probabilities, Permutations and Combinations, the Organization of Data, Distributions, Estimation, Testing Hypotheses and Anticipating and Finding Patterns in Statistical Data.

A graphing calculator along with access to a computer is needed due to the technical aspects of this course.

Successful completion of Algebra II and Geometry with at least a “B” average is required.

**AP COMPUTER SCIENCE A (ONLINE ONLY, $699)**

The AP® Computer Science A course is equivalent to the first semester of a college level computer science course. The course involves developing the skills to write programs or part of programs to correctly solve specific problems. AP® Computer Science A also emphasizes the design issues that make programs understandable, adaptable, and when appropriate, reusable. At the same time, the development of useful computer programs and classes is used as a context for introducing other important concepts in computer science, including the development and analysis of algorithms, the development and use of fundamental data structures, and the study of standard algorithms and typical applications. In addition an understanding of the basic hardware and software components of computer systems and the responsible use of these systems are integral parts of the course.

*THIS IS A SELF-PACED, ONLINE COURSE WITH LIMITED CONTACT TO A REMOTE INSTRUCTOR. STUDENTS TAKING THIS COURSE MUST BE SELF-DRIVEN AND ACADEMICALLY DISCIPLINED.*Windows or Mac Operating System required. This course does not include registration for the AP Exam.

Completion of Advanced Algebra 1 and Advanced Algebra II with a “B” average is required.