 MathematicsDept. Chair : Haresh Harpalani Phone: (630) 942-6616 |
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About Our Department |
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[The universe] cannot be read until we have learnt the language and become familiar with the characters in which it is written. It is written in mathematical language, and the letters are triangles, circles and other geometrical figures, without which means it is humanly impossible to comprehend a single word. - Galileo Galilei |
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Department Members |
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Course Descriptions |
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MATH SEMINAR Fr. 1 year 1 elective credit Prerequisite: Teacher recommendation only This course is designed to supplement the student enrolled in Algebra 1, Part 1 who is in need of additional skill development as determined by previous math performance and standardized assessments. The concurrent enrollment with Algebra 1, Part 1 will attempt to accelerate the student to
secure independent success in subsequent math courses. Scientific calculator required. ALGEBRA 1, PART 1 Fr. 1 year 1 credit Prerequisite: Teacher recommendation This is the first of a two-year sequence in elementary algebra. Successful completion of Algebra 1, Parts 1 and 2 constitute one college preparatory unit of algebra. The course content consists of function patterns with variables, rational number operations, solving equations and inequalities, and
linear equations with their graphs. Scientific calculator required. ALGEBRA 1, PART 2 So. 1 year 1 credit Prerequisite: Algebra 1, Part 1 This is the second of a two-year sequence that is equivalent to one full year of algebra. The emphasis is on systems of equations and inequalities, exponents and related functions, operations with polynomials, quadratic equations and functions, and radical/rational expressions and related functions. Upon
successful completion of this course the student will be recommended for a geometry course. Scientific calculator required. ALGEBRA Fr. 1 year 1 credit Prerequisite: Teacher recommendation This course stresses precision of language and emphasizes algebraic laws and structure. Generalization is used in acquiring manipulative skills and attaining adequate understanding necessary for continued study of mathematics. A strong arithmetic background is required for this course. This is a college
preparatory course. The content includes all of the topics listed for Algebra 1, Part 1 and Algebra 1, Part 2. Scientific calculator required. FUNDAMENTALS OF GEOMETRY So., Jr., Sr. 1 year 1 credit Prerequisite: Algebra 1, Part 2 or Algebra with teacher recommendation. This is a course for those students who do not plan to continue in mathematic or scientific programs of study beyond high school. It is a geometry course which studies the general concepts of plane and solid geometry. It develops a student's ability
to understand and use deductive reasoning and precise language. Scientific calculator required. GEOMETRY Fr., So. 1 year 1 credit Prerequisite: Algebra or freshmen who have successfully completed a full year of algebra in the 8th grade or students who have a teacher recommendation from Algebra 1, Part 2. This is a college preparatory course in geometry. It is an integrated course in plane, solid, and coordinate geometry. Emphasis is placed on deductive reasoning and
formal proofs. Algebraic skills are strengthened and extended. The course lays a foundation for trigonometry through right triangles. Scientific calculator required this year, but a graphing instrument is needed for all courses that follow in this sequence. GEOMETRY H Fr. 1 year 1 credit Prerequisite: Full year of Honors Algebra 1 in 8th grade. Geometry H is the first in a sequence of courses which culminates in the study of Calculus in high school. This course is an integrated study of plane, solid, and coordinate geometry. Emphasis is placed upon deductive reasoning, formal proofs, and the interdependence of algebra and
geometry. Along with extending the concepts and techniques of algebra, Geometry H assists in developing reading and reasoning skills needed in the subsequent courses. Scientific calculator required this year, but a graphing instrument is needed for all courses that follow in this sequence. INTERMEDIATE ALGEBRA So., Jr., Sr. 1 year 1 credit Prerequisite: Geometry or Fundamentals of Geometry with teacher recommendation. This course is designed for students with a background in the regular level sequence of mathematics who feel that they need an extra year of reinforcement in algebra before proceeding with Intermediate and College Algebra or taking the ACT and
SAT tests. Intermediate Algebra is designed for the student who is not yet prepared for the level of abstraction required in Intermediate and College Algebra. This course includes considerable review and skill building in algebra; the connection between new topics and those covered in Algebra 1 is stressed. Student access to a graphing instrument is required. INTERMEDIATE AND COLLEGE ALGEBRA (Int/Coll Alg) So., Jr. 1 year 1 credit Prerequisite: Algebra and/or Geometry with teacher recommendation. This is a second-year algebra course for students who have a strong background in algebra and/or geometry. It is a college preparatory algebra course that continues the development of algebra in the areas of algebraic expressions,
factoring, equation solving, linear and quadratic functions, logarithms, complex numbers, matrices, the binomial theorem, trigonometry and other traditional algebraic topics. Student access to a graphing instrument is required. INTERMEDIATE AND COLLEGE ALGEBRA H (Int/Coll Alg H) So. 1 year 1 credit Prerequisites: Geometry H and/or teacher recommendation. This course synthesizes and connects the concepts in Algebra 1 and Geometry H, by concentrating on mathematical models and graphical representations of real world problems. The topics of study include algebraic proof, linear and quadratic systems,
matrices, complex numbers, functions and relations, conic sections, exponential and logarithmic functions, sequences and series, probability and data analysis, the binomial theorem and trigonometry. Student access to a graphing instrument is required. PRE CALCULUS Jr., Sr. 1 year 1 credit Prerequisite: Intermediate and College Algebra and Geometry. This course is designed for college bound students interested in strengthening their background in trigonometry and analytic geometry. It involves the study of elementary functions, which include quadratic, polynomial, circular and trigonometric, logarithmic, and exponential
functions. It also includes the study of conic sections, sequences and series, polar and parametric equations and vectors. Geometric concepts are studied in both two and three dimensions. Student access to a graphing instrument is required. ADVANCED MATHEMATICAL APPLICATIONS Sr. 1/2 year 1/2 credit Prerequisite: Pre Calculus or teacher recommendation. This course is designed primarily for students whose college education will likely lead to a career in business or in the behavioral, social, or biological sciences. Course topics include logic, sets, modeling, linear equations and inequalities, matrix algebra,
linear programming, and the simplex method. Applications are presented which require problem-solving experiences in the above fields. Student access to a graphing instrument is required. PROBABILITY AND STATISTICS Sr. 1/2 year 1/2 credit Prerequisite: Pre Calculus or teacher recommendation. This course familiarizes students with simple experiment design, formulation and testing of hypotheses, and adoption of confidence intervals. It is a college-preparatory course recommended for students considering careers involving data management such as computer
sciences, biological sciences, business management, and research fields. Students will become familiar with computer statistics software used to interpret, apply, and evaluate data. Student access to a graphing instrument is required. PRE CALCULUS H Jr. 1 year 1 credit Prerequisite: Intermediate and College Algebra H and teacher recommendation. This course is designed to prepare the above-average mathematics student for the study of AP Calculus. Trigonometry is developed from the circular function viewpoint as periodic functions of a real variable. Vector algebra, the system of complex numbers, and matrix algebra provide the student with an opportunity to see how trigonometry is involved in many fields of present day mathematics. Relationships between circular functions and infinite series are presented along with limits of sequences. Concepts of coordinate geometry introduced in previous mathematics courses are extended and strengthened
through a vector approach. Conic sections are studied in detail along with related 3-space concepts. Student access to a graphing instrument is required. AP CALCULUS (AB) Sr. 1 year 1 credit Prerequisite: Pre Calc H or Pre Calculus with teacher recommendation. This is a full year course that follows the outline of the College Entrance Examination Board for Calculus AB. Topics include limits, differentiation and its application, and basic integration techniques. Completion of this course prepares the student for the AP
Examination in the level of Calculus AB. Success on this examination may qualify students for advanced placement and/or credit from their college or university. This course is equivalent to one semester of college calculus. Student access to a graphing instrument is required. AP CALCULUS (BC) Sr. 1 year 1 credit Prerequisite: Pre Calc H with teacher recommendation. This is a full year college-level course in Calculus. The material follows the outline of the College Entrance Examining Board for Calculus BC. In addition to all topics covered in AP Calculus AB, this course includes advanced techniques of integration, indeterminate forms, improper
integrals, infinite series, and polar, parametric and vector-valued functions. Upon successful completion of the Advanced Placement Examination, the student may qualify for college credit. This course is equivalent to two semesters of college calculus. Student access to a graphing instrument is required. |