The Pre-Calculus course is the study of graphic, numeric, and analytical approaches to the study of pre-calculus concepts from college algebra and analytic trigonometry. Topics include the real number system; algebraic, exponential, and logarithmic functions and their inverses; graphing techniques for polynomial, rational and trigonometric functions; complex numbers; theory of equations; trigonometric functions and their inverses with emphasis on circular functions; trigonometric equations and identities; vectors; partial fractions; polar coordinates; mathematical induction; sequences and series; matrices; and the binomial theorem.
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The Mathematics courses focus on the principal areas essential to understanding the introduction of variables, constants, expressions and equations. Students learn fundamental concepts such as integers; linear equations; how to add, subtract, multiply and divide monomials and polynomials; factoring of polynomials and solving of quadratic equations. The courses also includes radicals and exponents Topics which will be discussed are essential to solving equations, simplifying expressions, understanding order of operations, using properties (field axioms), arithmetic operations with positive and negative numbers, polynomials, factoring, graphing (linear and quadratic equations), working with radicals and expanding arithmetic knowledge.
The courses also focus on the principal areas essential to understanding math concepts including linear and quadratic equations, inequalities, relations, functions, radicals, imaginary and complex numbers. Emphasis is placed upon development of math skills through study of exponential and logarithmic functions, probability, statistics and elements of trigonometry. The major component of mathematics subject area are advanced topics in Algebra. The students continue the study of statistics including probability, distributions, and linear regression. The course integrates geometry, algebra, statistics, discrete mathematics, algebraic and transcendental functions, and problem solving with the use of graphing calculators.