Current date and time09/08/2010 08:54 AM

Pre-Calculus

Classroom: Pre-Calculus classroom I

  1. Classroom dates:
  2. Type of Course:
    Mathematics
  3. Course fees:
    $85.00
  1. Teachers
  2. Admin Admin
  1. Organized by:
    AIU High School
  2. Credit hours:
    1
  1. Description
  2. Pre-Calculus blends the concepts and skills that must be mastered before
    enrollment in a college-level calculus course. The course includes the study of
    (1) relations and functions,
    (2) exponential and logarithmic functions,
    (3) trigonometry in triangles,
    (4) trigonometric functions,
    (5) trigonometric identities and equations,
    (6)polar coordinates,
    (7) sequences and series, and
    (8) data analysis.
  1. Introduction

  2. In this technological age, mathematics is more important than ever. When students leave school, they are more and more likely to use mathematics in their work and everyday lives — operating computer equipment, planning timelines and schedules, reading and interpreting data, comparing prices, managing personal finances, and completing other problem-solving tasks. What they learn in mathematics and how they learn it will provide an excellent preparation for a challenging and everchanging future.

  1. Course target
  2. Grades 10 to 12
  1. Methodology

  2. Online

  1. Course objectives

  2. 1: Identify various functions, including square root, cubic, and piecewise-defined functions, and perform transformations and operations on known functions to create new functions. Construct mathematical models from real-world word problems.

    2: Identify quadratic, polynomial, and rational functions and analyze their graphs. Solve polynomial and rational inequalities. Evaluate real-world problems using rational function models.

    3: Find the real zeros of polynomial functions using various theorems.

    4: Identify one-to-one functions and find their inverses. Explore exponential and logarithmic functions and use their properties to model and solve real-world problems involving compound interest and uninhibited growth/decay.

    5: Explore angles and their measure. Establish the value of trigonometric functions using right triangle trigonometry. Analyze properties of the graphs of trigonometric functions and apply transformations and shifts to sinusoidal graphs.

    6: Explore inverse trigonometric functions. Prove identities involving trigonometric functions and use them to solve trigonometric equations.

    7: Solve real-world applications by creating right triangles and using trigonometric and inverse trigonometric functions.

  1. Technical requirements

  2. Internet Explorer 6.0 or higher.

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