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Course Name		Pre-Calculus	Out of State Tuition Fee	$750.00
Subject		Mathematics
Course Status		N/A
Out-of-State Course Status		N/A
Course Type		Validated
Course Number		1202340
Honors Number		1202340
Prerequisites		Algebra I, Algebra II, and Geometry. A strong background of Algebra II is recomended.
Credit		1
Estimated Completion Time		2 Semesters / 36 weeks
Course Description		Students, as mathematic analysts, will investigate how advanced mathematics concepts can solve problems encountered in operating national parks. The purpose of this course is to study functions and develop skills necessary for the study of calculus. The pre-calculus course includes analytical geometry and trignometry.

Scope & Sequence		Module 1: Functions and Their Graphs Functions Domain and range Rigid and non-rigid transformations Composition and arithmetic of functions. Function inverses Linear regression   Module 2: Polynomial and Rational Functions Solve and graph quadratic functions. Characteristics of a polynomial function. Rational Root Theorem, long and synthetic division, Fundamental Theorem of Algebra Complex numbers as solutions to polynomial equations. Domain and the asymptotes of a rational function Analyze and graph a rational function. Module 3: Exponential and Logarithmic Functions Analyze and graph the exponential function. Analyze and graph the logarithmic function. Properties of logarithms Exponential and logarithmic equations Regression equations of non-linear data   Module 4: Trigonometric Functions Angles in radians and degrees Define the trigonometric functions using the coordinates of a unit circle and using a right triangle Evaluate the trigonometric function values of any angle measure. Analyze and graph sine, cosine and tangent functions. Inverse trigonometric values. Solve right-triangle real-world problems   Module 5: Analytical Trigonometry - Identities and Equations Evaluate trigonometric values using identities Prove that a given equation is an identity. Solve equations that contain trigonometric functions. Use argument identities   Module 6: Additional Topics in Trigonometry - Triangles and Vectors Use the Law of Sines and Law of Cosines to solve a triangle, including the ambiguous case. Find the area of the triangle including Hero’s formula. Vector arithmetic including the dot product Arithmetic of Complex numbers using Vectors and DeMoivre’s Theorem There is currently no module 7   Module 8: Matrix Algebra Gauss-Jordan elimination to solve systems of equations Add, subtract and multiply matrices Inverse of a matrix to solve a system of equations Determinant of a matrix and Cramer's Rule to solve a system of equations   Module 9: Sequences and Series Terms of a sequence, sigma notation Arithmetic sequences and series Geometric sequences and series Proof by Mathematical Induction   Module 10: Conic Sections, Parametric and Polar Equations Analyze and graph equations that produce parabolas, ellipses and hyperbolas Analyze degenerate conic sections Solve systems of quadratics Parametric equations and graphs and conversion to rectangular form Domain and range of parametric equations Plotting points in the polar system Graphing polar equations    Module 12: Limits Find limits graphically and numerically
Course Objectives		The course content will cover the following concepts: · polynomial, rational, exponential, inverse, logarithmic, and circular functions · sequences and series · vectors · conic sections · polar coordinate systems · mathematical induction · matrix algebra    system of equations
Grading Policy		Grades will be based upon the quality of the student submissions, participation in discussions, and the ability to maintain consistent communication with the instructor. The grading scale that is used for this course is as follows: A 90-100 B 80-89 C 70-79 D 60-69 F 59 or below All forms of academic dishonesty are prohibited. This includes, but is not limited to, plagiarism, cheating, furnishing false information, forgery, alteration or misuse of documents or software, and misconduct during a testing situation. Any student cheating on an exam will receive a zero on the exam and may be withdrawn from the class at the instructor's discretion.
Communication / Participation Requirements		Only through continuous communication can students be successful in an online course. Within each course the instructor outlines the weekly minimum work requirements. It is essential that the student and instructor maintain regular contact. Failure to complete assignments on a consistent basis will result in students being removed from the course.
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