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College Level

COLLEGE LEVEL MATHEMATICS COURSES


In Precalculus students learn about linear, exponential, trigonometric, quadratic & logarithmic functions, and their application. At the end of the course students obtain College Credit through York College or Farmingdale University. There are 6 units that are covered:


UNIT 1: LINEAR AND QUADRATIC FUNCTIONS

UNIT 2: POLYNOMIAL & RATIONAL FUNCTIONS 

UNIT 3: EXPONENTIAL & LOGARITHMIC FUNCTIONS

UNIT 4: TRIGONOMETRIC FUNCTIONS

UNIT 5: ANALYTIC TRIGONOMETRY 

UNIT 6: APPLICATIONS OF TRIGONOMETRIC FUNCTIONS


CALCULUS AB: 


Students that are enrolled in Calculus AB will be scheduled to take the AP Calculus AB exam in May and have the opportunity to receive College Credit. Students will be studying the following topics through a variety of means including algebraically, graphically, numerically and collaboratively: 


Students will learn about: 

  1. LIMITS: Students will learn one-sided limits, limits at infinity, limit of a sequence, infinite limits, estimation of limits using tables and graphs, algebraic properties of limits, techniques for finding limits of indeterminate forms, and behavior of a function and existence of continuity. 

  1. DERIVATIVES: Students will learn estimation of derivatives from tables and graphs, finding the slope of a tangent line to a graph at a point, calculate instantaneous rate of change and rectilinear motion, analyzing the graph of a function, solving separable differential equations, understanding the Mean Value Theorem, and solving real-world applications including related rates, optimization and growth and decay models. 

III. INTEGRALS AND THE FUNDAMENTAL THEOREM OF CALCULUS : Students will understand the definition of a definite integral and approximating definite integrals with the use of Reimann sums, compute definite integrals using geometry, use basic techniques of integration and properties of integrals, interpret definite integrals with regards to area, volume, motion and accumulation functions, understand the relationship between integration and differentiation as expressed in the Fundamental Theorem of Calculus, and work with and analyze functions defined by an integral.