Grade 12 - Mathematics
Algebra II: Part 1 (Credit: 0.50)Topic areas of Algebra II: Part 1 include review of the real number system including rational numbers, rules for combining and multiplying real numbers, order of operations, connecting words and numbers through expressions, developing a plan to solve a problem, combining like terms, definition and examples of ordered pairs, grids, quadrants, abscissa, defining linear equations, graphing equation systems, three-variable equations, matrix multiplication, transformation, point and matrix transformations, polynomial types, zero as an exponent, finding higher variables, factoring numerators, and solving complex rationals.
Algebra II: Part 2 (Credit: 0.50)Continuing coursework from Algebra II: Part 1, this title covers the review of square roots, radicals, complex pure and imaginary numbers, solving and factoring, identifying and evaluating the discriminant of a quadratic equation, rewriting equations, solving problems with number lines, graphing parabola, circle parts and formulas, hyperbola, graphing quadratic relations and inequalities, inverse functions, compound interest problems, sequences of numbers, identification of sigma, examples and definition of common ratios, finite series, and solving factorial problems.
Calculus I (Credit: 1.00)Calculus I is a high school-level title with topic areas covering calculating x-values and corresponding values, limits, notation, continuous functions, asymptotes, negative and positive infinities, graphing tangents, secants, and cosecants, derivatives, Leibniz notation, constant functions and derivatives, functions that are products, the derivative as a reciprocal of sine, acceleration as a derivative of velocity, maximum and minimum values of given functions at closed intervals, using related rates to determine the volume of cones, determining graphing data, and antiderivatives with negative exponents.
Calculus II (Credit: 1.00)Continuing coursework from the Calculus I title, Calculus II topic areas include notations of integrals, the fundamental theorem of calculus, indefinite integrals and antiderivatives, integration by substitution, natural logarithms, points of intersection for regions of graphs, applications of the integral including volumes of rotation about the axes, arc length, surface area and work, hydrostatic force, inverse functions including natural exponent functions, exponential and logarithmic functions of other bases, exponential growth and decay, and inverse trigonometric functions.
Trigonometry (Credit: 1.00)Trigonometry covers angles, angle terminology, reference angles, definition of sine, cosine, and tangent, definition and value of secant, cosecant, and cotangent, calculating sides of right triangles, using trig to solve real world problems, the Law of Sines and Cosines, symmetry identities, verifying trigonometric identities, sum and difference for sine, cosine, and tangent, using cofunction identities, graphing trig functions, principal values, arc length, area of circular sectors, simple harmonic motion, and frequency.
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