College Level Courses

The Mathematics and Computer Science Department at Tappan Zee High School follows the recommendations set forth by the New York State Education Department and the National Council of Teachers of Mathematics by offering courses in Mathematics and Computers for all students.

Pre-Calculus
Full Year, 1 credit
Prerequisite: Integrated Algebra II/Trigomentry or departmental approval
This course would follow after successful completion of 3 years of Regents math courses. This course covers real number systems, analytic geometry, sequences, series, and limits, including proof by mathematical induction, conics and transformations, parametric equations, functions, theory of polynomial equations including complex numbers, polar coordinates, exponential and logarithmic functions, matrices and determinants, partial fractions, introduction to differential calculus and applications.
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Pre-Calculus Honors
Full Year, 1 credit
Prerequisite: Integrated Algebra II/Trigonometry Honors and/or department approval
This course would follow after successful completion of 3 years of Regents math courses. This course covers real number systems, analytic geometry, sequences, series, and limits, including proof by mathematical induction, conics and transformations, parametric equations, functions, theory of polynomial equations including complex numbers, polar coordinates, exponential and logarithmic functions, matrices and determinants, partial fractions, introduction to differential calculus and applications. Approximately 20% of the course will cover the material in more depth or include additional topics or more in-depth proof.
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Math 12
Full Year, 1 credit
Integrated Algebra II/Trigonometry
This course provides a fourth year of mathematics for students not electing to take Pre-calculus. This course is designed to prepare students for college level mathematics. It provides an opportunity for students to develop and maintain college level math skills in their senior year. The topics include analytic geometry, conic sections, real number analysis including quadratic equations, inequalities and absolute value equations, polynomial equations over the complex field, Application of trigonometry, polar coordinates, matrices, determinants and systems of equations. Optional topics include SAT review and Problem Solving of Financial “Real World” problems (i.e. interest rates, mortgages, compound interest).
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Calculus
Full Year, 1 credit
Prerequisite: Pre-calculus and department approval
Topics include limits, continuity, derivatives, integrals, applications of derivatives and integrals and fundamental theorems in analysis. Students will solve problems dealing with rectilinear motion, related rates, optimization, area, volume and work using polynomial, trigonometric, exponential, and logarithmic functions. This course does not prepare the student for the Advanced Placement Mathematics examination and culminates in a local final examination. This course is recommended for students who desire an introduction to college level Calculus.
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Advanced Placement Calculus AB
Full Year, 1 credit
Prerequisite: Pre-calculus or departmental approval
All students enrolled are expected to take the AP Calculus AB examination in May. This course covers: differentiation, differential equations, parametric representation, continuity, fundamental theorems in analysis to include Rolle's Theorem and the Mean Value Theorem, applications to include velocity/acceleration problems, related rate problems, maxima/minima problems, etc., curve sketching, conics and transformation, integral concept, fundamental theorem of the calculus, area volume, work, trigonometric and inverse trigonometric functions, exponential and logarithmic functions, slope fields methods of integration, approximating integrals, applications of course material. This course includes an additional 3 period per cycle lab.
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Advanced Placement Calculus BC
Full Year, 1 credit
Prerequisite: Pre-Calculus or departmental approval
All students enrolled are expected to take the AP Calculus BC examination in May. This course covers: completely ordered field, vectors, limits including the epsilon-delta differentiation, differentials, parametric representation, continuity, fundamental theorems in analysis to include Rolle's Theorem and the Mean Value Theorem, applications to include velocity/acceleration problems, related rate problems, maxima/minima problems, etc., curve sketching, conics and transformation, integral concept, fundamental theorem of the calculus, area volume, work, trigonometric and inverse trigonometric functions, exponential and logarithmic functions, methods of integration, approximating integrals, more on polar coordinates, applications of course material, infinite series. This course includes an additional 3 periods per cycle lab.
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Advanced Placement Statistics
Full Year, 1 credit
Prerequisite: Integrated Algebra II and Trigonometry (H) or Pre-Calculus (H)
This course introduces students to major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students are exposed to four broad conceptual themes: exploring data through observing patterns and departures from patterns, planning a study, anticipating patterns in advance, producing models using probability and simulation, statistical inference, and confirming models. All students enrolled are expected to take the Advanced Placement Statistical Examination in May. It is recommended that those students enrolled in the Science Research Course take the AP Statistics course.
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Department of Mathematics

College Level Courses