Mathematics Courses

Algebra 1 Enriched
Grade Level: 9-10-11-12
Semester Offered: Full year
Course Numbers: MTH111, MTH112
Prerequisite: Placement exam and approval of Director
Description: Students in this course will meet for two consecutive periods so that by the end of this course, students will have completed a year of algebra as well as developed readiness skills necessary for success in future mathematics. The course is designed to emphasize the development of skills, techniques, and applications that deal with algebra, number relations, linear equations, formulas, polynomials, graphing, systems of equations, factoring, quadratic and exponential equations. Completion of this course prepares a student for further work in mathematics, usually in Geometry (MTH231/232). Upon successful completion of this course, students will receive two credits in mathematics.

Algebra 1
Grade Level: 9-10-11-12
Semester Offered: Full year
Course Numbers: MTH131, MTH132
Prerequisite: Successful completion of Algebra Enriched or approval of Director
Description: This sequence is designed for students who desire a year of algebra while strengthening mathematical skills. The course is designed to emphasize the development of skills, techniques and applications that deal with algebra, number relations, linear equations, formulas, polynomials, graphing, systems of equations, factoring, quadratic and exponential equations. Completion of Algebra (MTH131/132) prepares a student for further work in mathematics, usually in Geometry (MTH231/232).

Geometry
Grade Level: 10-11-12
Semester Offered: Full year
Course Numbers: MTH231, MTH232
Prerequisite: Successful completion of Algebra (MTH131/132) or Approval of Director
Description: This course integrates the basic principles of geometry and algebra. This sequence is for students who would like a complete year of geometry while strengthening algebraic skills. Students study such topics as triangle congruence, similarity, parallelism, quadrilaterals, circles and use of dynamic geometry software. Logic is studied without the use of formal proof. Completion of this course prepares a student for further work in Advanced Algebra.
Algebra I
Grade Level: 9-10
Semester Offered: Full year
Course Numbers: MTH151, MTH152
Prerequisite: Approval of Director; Recommended for Freshmen
Description: This course emphasizes the development of skills, techniques and applications that deal with number relations, linear equations, formulas, polynomials, graphing, systems of equations, factoring, rational expressions, data analysis, quadratic, exponential functions and probability. Successful completion of this sequence will prepare students for entry into a geometry sequence.

Geometry
Grade Level: 10-11-12
Semester Offered: Full year
Course Numbers: MTH251, MTH252
Prerequisite: Algebra I or equivalent
Description: This course deals with sets of points and related properties. Sets studied include lines, angles, polygons, with emphasis on circles, planes and surfaces of geometric solids such as pyramids, cones, cylinders and spheres. This sequence emphasizes systematic approaches to and processes for proving and applying theorems. Algebra is utilized extensively during the course. Successful completion of this course prepares the students for further work in Advanced Algebra.

Advanced Algebra
Grade Level: 11-12
Semester Offered: Full year
Course Numbers: MTH351, MTH352
Prerequisite: Geometry or Geometry C
Description: This course blends the theory and skills of advanced algebra. Polynomial, logarithmic, and exponential functions are studied. Additional topics include the complex number system, sequences and series, matrices, systems of equations, and the binomial theorem. Students with a six-week grade less than "C-" must attend Advanced Algebra Support for the next six-week grading period. Completion of this sequence prepares the student for entry into Precalculus.

Advanced Mathematical Decision Making
Grade Level: 12
Semester Offered: Full year
Course Numbers: MTH441, MTH442
Prerequisite: Successful completion of Advanced Algebra
Description: This course is designed for students who are college bound non-mathemathics majors. Specific emphasis will be given to data analysis, probability, statistical analysis, matrix algebra, graph theory, combinatorics, graph theory, Markov chains, finance, and elementary trigonometry. Students with credit in Precalculus or Statistics may not take this course for credit.

Precalculus
Grade Level: 11-12
Semester Offered: Full year
Course Numbers: MTH451, MTH452
Prerequisite: Advanced Algebra
Description: This course includes the topics of polynomial, rational and algebraic functions, linear programming, complex numbers, trigonometric equations, identities, inverse trigonometric functions, statistics, matrices, logarithms, permutations, combinations, and probability. Students completing this sequence will be prepared for a college-level calculus course.

Advanced Algebra-Accelerated
Grade Level: 9-10
Semester Offered: Full year
Course Numbers: MTH171, MTH172
Prerequisite: Approval of Director; Recommended for Freshmen
Description: This course deals with an in-depth study of the complex number system, the techniques of evaluating and simplifying algebraic expressions, the solving of linear and quadratic open sentences, the techniques of graphing, the methods of factoring, ratio and proportion, series, and probability. Successful completion of this sequence prepares the student for entry into the Geometry Accelerated sequence.

Geometry-Accelerated
Grade Level: 10-11-12
Semester Offered: Full year
Course Numbers: MTH271, MTH272
Prerequisite: Advanced Algebra Accelerated; Recommended for Sophomores
Description: This course requires the students to complete an in-depth study of Euclidian Geometry. Properties of some conic sections are included during the second semester. Successful completion of this course prepares a student for Precalculus Accelerated.

Precalculus-Accelerated
Grade Level: 11-12
Semester Offered: Full year
Course Numbers: MTH371, MTH372
Prerequisite: Advanced Algebra Accelerated and Geometry Accelerated or Approval of Director
Description: This course provides an in-depth study of precalculus mathematics. Topics include polynomial, rational, algebraic, exponential, logarithmic and trigonometric functions and relations, conics and their properties, the complex number system, inequalities, probability and statistics and matrices. Successful completion of this course provides the student with the necessary prerequisites for Advanced Placement Calculus AB.

AP Statistics
Grade Level: 12
Semester Offered: Full year
Course Numbers: MTH461, MTH462
Prerequisite: Precalculus or Precalculus Accelerated
Description: This course provides the student with a knowledge and use of statistical methods and applied topics in discrete mathematical structures. Students use and apply normal distributions, linear regression analysis techniques, spanning trees and hypothesis testing with sample spaces. They solve difference equations and investigate samples to find confidence levels and errors. This course is equivalent to an introductory college statistics course with applications in discrete mathematics. Students enrolled in this course are expected to write the Advanced Placement Statistics examination.


AP Calculus AB
Grade Level: 12
Semester Offered: Full year
Course Numbers: MTH471, MTH472
Prerequisite: Precalculus Accelerated
Description: This course deals with the study of limits and the limiting processes. The topics of differentiation, integration, continuity, limits, indeterminate forms, and improper integrals are included. Students enrolled in this course are expected to write the Advanced Placement AB Calculus examination.

Advanced Algebra-Honors
Grade Level: 9
Semester Offered: Full year
Course Numbers: MTH191, MTH192
Prerequisite: Approval of Director
Description: This course deals with an in-depth study of the topics covered in the Advanced Algebra Accelerated sequence. Additional content includes the study of permutations and combinations, probability, sequences, and series. Successful completion of this sequence prepares the student for entry into the Geometry Honors sequence. Since the student will cover content normally taught in the Advanced Algebra course, students successfully completing Advanced Algebra Honors may not register for credit in Advanced Algebra.

Geometry-Honors
Grade Level: 9-10
Semester Offered: Full year
Course Numbers: MTH291, MTH292
Prerequisite: 10th Graders: Advanced Algebra Honors; 9th Graders: Credit or concurrent enrollment in Computer Programming Accelerated
Description: This course is an in-depth study of Euclidean geometry including extension topics of coordinate geometry, geometric probability and transformations. The course stresses problem solving skills and the development of logical reasoning and communication of mathematics. Advanced Algebra topics are integrated extensively throughout the course. Successful completion will prepare the student for Precalculus Honors.

Precalculus-Honors
Grade Level: 10-11
Semester Offered: Full year
Course Numbers: MTH391, MTH392
Prerequisite: Advanced Algebra Honors and Geometry Honors or Approval of Director
Description: This course is a continuation of the mathematics studied in Advanced Algebra Honors and Geometry Honors. The content includes that of Precalculus as well as topics related to limits, matrix algebra, discrete mathematics, polar coordinates, proof by induction, and conic sections. Successful completion of this sequence prepares the student for entry into Advanced Placement Calculus BC.

AP Calculus BC
Grade Level: 11-12
Semester Offered: Full year
Course Numbers: MTH491, MTH492
Prerequisite: Precalculus Honors or Approval of Director
Description: This course deals with the BC content of the Advanced Placement curriculum beyond that of the Calculus AB sequence. Additional topics include sequences, infinite series, solutions of differential equations, advanced techniques of integration, as well as parametric and polar equations. Students enrolled in this course are expected to write the Advanced Placement Calculus BC examination.

AP Statistics Honors
Grade Level: 12
Semester Offered: Full year
Course Numbers: MTH57C, MTH58C
Prerequisite: Concurrent enrollment or credit in Advanced Placement Calculus AB, BC or Approval of Director
Description: This course provides the student with a knowledge and use of statistical methods and applied topics in discrete mathematical structures. Students use and apply normal distributions, linear regression analysis techniques, spanning trees and hypothesis testing with sample spaces. They solve difference equations and investigate samples to find confidence levels and errors. This course is equivalent to an introductory college statistics course with applications in discrete mathematics. Students enrolled in this course are expected to write the Advanced Placement Statistics Examination.

Advanced Linear Algebra-Honors
Grade Level: 12
Semester Offered: Semester 2 only
Course Number: MTH592
Prerequisite: Advanced Placement Calculus BC or Approval of Director
Description: This course provides detailed work in the study of vectors and vector spaces. Topics include solving n by n systems of equations, operating within a vector space, performing linear transformations of vector spaces and locating eigen vectors and eigen values. This course is equivalent to a one semester college linear algebra course.

Calculus III - Honors
Grade Level: 12
Semester Offered: Semester 1 only
Course Number: MTH591
Prerequisite: Advanced Placement Calculus BC or Approval of Director
Description: This course is the last of a three-course sequence in calculus and analytic geometry and includes the essential elements of multi-variable calculus as well as the analytic geometry of space. Students perform operations with vectors, lines and planes, understand and apply curves and surfaces, understand and apply concepts involving differentiation for functions of several variables, and compute double and triple integrals. In addition, students will perform operations of polar coordinates and parametric equations.


Computer Programming  (College Prep)
Grade Level: 9-10-11-12
Course Numbers: Semester 1 - CSC151, Semester 2 - CSC152
Prerequisite Concurrent enrollment or credit in Algebra I:
Description: Students will learn to program computers using both Java and C++. The course will begin with introductory programs in C++. Students learn Java to write graphics-related programs which can run as applets on web pages. Students will also investigate the graphics features of Java applets. Java and C++ are both used to write simple text-based and graphics related computer games. Successful completion of this course prepares the student to continue into Advanced Placement Computer Science A. Students cannot earn credit in CSC 151/152 and Computer Programming (Accelerated).

Computer Programming Accelerated
Grade Level: 9-10-11-12
Course Numbers: Semester 1 - CSC171, Semester 2 - CSC172
Prerequisite: Freshmen enrolled in Algebra 1
Description: This course introduces students to computer programming using both Java and C++. Students use Java to write several simple game applications as well as learn how to include buttons and pop-up menus within Java applets (which can be run as a web-page). Students use Java applets to write programs with both random and student-designed graphics/animations. C++ will be used for the first several weeks to introduce the general programming concepts that are needed in both C++ and Java. Introductory topics include using data files, translating formulas, using loops to get the computer to automate steps, etc. Successful completion of this one semester course prepares the student for Advanced Placement Computer Science A.

AP  Computer Science A (Honors)
Grade Level: 10-11-12
Course Numbers: Semester 1 - CSC271, Semester 2 - CSC272
Prerequisite: Computer Programming College Prep or Accelerated or approval of Director
Description: In the first semester, students learn abbot arrays, Array Lists, sorting/searching techniques, class (object-oriented) design and stacks, and queues.  Several graphics-oriented projects are used to illustrated and practice key concepts.  During second semester students learn more advanced data structures such as linked lists, trees, sets and maps.  Students learn and focus on object-oriented programs.  This AP course will prepare the student for the Ap Computer Science exam..  Students may earn one semester of college credit in Data Structures/Algorithms.