Mathematics

The Mathematics Department has established a series of courses designed to teach students useful mathematical skills in numerical computation, algebraic manipulations, analysis of geometric configurations, and an understanding of elementary real-valued functions. In addition, the concepts of logic and reasoning are used in the development of methods and in the application of mathematical concepts to various real-life situations.

Courses

MA001
MA050
MA101
MA201
MA301
MA302
MA402
MA410
MA460
MA602
MA603
MA604
MA605
Algebra Ia
Algebra Ib
Algebra I
Geometry
Alg II & Trig
Pre Calculus
Calculus
Accounting
Lin Algebra
AP Calc AB
AP Calc& Multi BC
AP Statistics
AP Calculus BC

MA001 Algebra Ia 6cr {07} MA RQ

This course is the first half of a two-year program of instruction designed to give students in the middle-school a solid foundation in algebra, in preparation for further advanced study in mathematics. Topics covered include data and patterns in algebra, arithmetic operations on algebraic expressions, solving equations and inequalities, linear functions and systems of linear equations.

MA050 Algebra Ib 6cr {08} MA RQ

This course is the second half of a two-year algebra program for the middle school. Material is covered in depth to assure a complete understanding and mastery of algebraic techniques. Topics covered include functions, equations, and inequalities; matrices; probability and statistics; exponents; polynomials and factoring; quadratic equations and radicals.

MA101 Algebra I 6cr {07, 09} MA, RQ

Topics included in this introductory course in algebra are: the basic operation with polynomials, equations of one and two variables, lines and their slopes, the concept of functions and relations, ratios and percents and the properties of exponents and radicals. It is expected that the student have a thorough knowledge of arithmetic and an understanding of the real number system.

MA102 Intermediate Algebra 6cr {08}

A continuation of MA101 for those eighth grade students who need further instruction in algebra in order to be prepared for geometry and advanced algebra.

MA201 Geometry 6cr {08, 09,10} MA, RQ [MA101]

This course introduces properties of lines, planes, triangles, quadrilaterals, and circles. Reflections and transformations are used as a means of illustrating congruence of planar figures. Methods of inductive and deductive reasoning are used in the proof of theorems and constructions. Areas of polygons, circles, solids, and volume of solids are also discussed. Additional topics include a study of the trigonometry of right triangles.

MA301 Algebra II & Trigonometry 6cr {10,11} MA [MA101, MA201, DptRec]

This course is designed to review the basic concepts of elementary algebra on a more sophisticated level. In addition, such topics as matrices, sequences and series, and data analysis are included. The last third of the year is devoted to the study of trigonometry as circular functions, with special emphasis on the solution of equations.

MA302 Pre-Calculus 6cr {10,11} MA [MA102, DptRec]

This is a course designed to give the student background material needed in preparation for calculus. Thorough study of graphing methods is included, as well as development of the theory of functions, logarithmic and exponential equations, sequences and series, trigonometry, polar coordinates and complex numbers. Elementary concepts of calculus are also discussed.

MA402 Calculus I 6cr {11,12} MA [MA301, DptRec]

This course is designed to prepare the student for further study in the field of calculus. Topics include functions and relations, trigonometric functions nd identities, the concept of a limit, and elementary techniques of differentiation and integration. A student should have a thorough preparation in algebra and geometry.

MA410 Fundamental Accounting Principles 6cr {12} EL [formerly MA410]

This is an introductory year-long course in basic accounting. Both financial and managerial accounting topics are covered, so that the course will be useful to students in their personal affairs and in their varied areas of educational specialty. The course focuses on the concepts and principles which guide the development of accounting information. The student is shown how accounting data are accumulated and how the resulting reports and statements can be effectively used in decision making. Thus, a solid foundation is built for later courses in business as well as accounting.

MA460 Linear Algebra 6cr {11,12} MA [DptRec]

This course introduces the student to concepts in college-level algebra with a particular emphasis on matrix theory, determinants, homogeneous and non-homogeneous linear systems. Applications to linear programming and economic models are discussed. Also, functions of several variables are introduced. This course is only for the student who has completed AP Calculus.

MA602 AP Calculus AB 6cr {11,12} MA [MA302 DptRec]

This course is designed to be a full year of college-level calculus for the advanced student in preparation for the Calculus AB Advanced Placement Examination. Topics covered include maximum and minimum problems, derivatives and applications of the differential, techniques of integration, related rates, area and volume problems, curve sketching, and the study of exponential and logarithmic functions. A student is expected to have a thorough knowledge of functions and trigonometry before beginning this course.

MA603 AP Calculus BC & Multi 6cr {12} MA [MA602, DptRec]

This course is designed to prepare students for the Calculus BC Advanced Placement Examination and to provide an introduction to multivariate calculus. The topics to be covered in this course include polar coordinates, vectors in two-and three-space, three dimensional geometry, partial differentiation, multiple integrals, infinite series, differential equations, vector calculus, line integrals and Green's theorem in the plane.

MA604 AP Statistics 6cr {11,12} MA [DptRec]

Students will be introduced to the major concepts and tools for collecting analyzing and drawing conclusions from data. Topics will follow four broad conceptual themes: (1) exploring data - observing patterns and departures from patterns, (2) planning a study - deciding how and what to measure, (3) anticipating patterns - producing models using probability and simulation, and (4) statistical inference - confirming models.

MA605 AP Calculus BC

This course is designed for motivated and advanced students who wish to complete the BC Calculus syllabus in a single year. Topics covered will include all of those in AB Calculus (MA602) as well as analysis of parametric, polar and vector functions, geometric interpretation of differential equations, and improper integrals. In addition, infinite series and Taylor approximations of polynomials are included. Approval of the department and guidance is required.

Departments

Faculty

Mr. Joshua J. Hartle
Department Chair
B.S., Ursinius College
x2353

Mr. Thomas M. Brady
B.S., Fordham University
X2319

Mr.Gregory Devine
B.A. Williams College
M.Ed., Harvard University
x2331

Fr. Eamon Drew, O.S.B.
M.A., Immaculate Conception Seminary
x2024

Mr. Patrick Finn
B.S., University of Notre Dame
X2317

Mr. Sean Flanagan
B.S., B.A., Georgetown University
x2340

Mr. Wayne Gardiner
B.A., Bowdoin College
M.A., Rutgers University
(973)538-3231
x2333

Mrs. Kelly Gleason
B.S., Belmont College
x3010

Mr. Sean Gleeson
B.A., Williams College
x2324

Mr. Russell Goodrich
B.S., Cornell University
x2387

Mrs. Judy Lee
B.S., Rutgers University
M.S., Cornell University
X2309

Mr. Jason Milner
B.A., Scranton University
x2307

Rev. Rembert Reilly, O.S.B.
B.A., St. Vincent College
x3059

Mr. Bruce Shatel
B.A., University of Delaware
x2395