# Course

Course Summary
Credit Type:
Course
ACE ID:
Organization's ID:
S1 - 128829929, S2 - 128830138
Organization:
Location:
Online
Length:
4 weeks (120 hours)
Dates Offered:
Credit Recommendation & Competencies
Level Credits (SH) Subject
Lower-Division Baccalaureate 3 college mathematics
Description

## Objective:

The course objective is to learn about quadratic functions and how to graph and solve them; complex numbers and solving problems that involve complex numbers; graphing and solving polynomials, including special cases for factoring; and rational expressions and how to multiply and divide rational expressions. This course also introduces students to a variety of statistics and probability topics, including sequences, series, finding probabilities, normal distributions, surveys, and experiments.

## Learning Outcomes:

• Solve and graph higher-order polynomials, rational, radical, exponential, and logarithmic functions
• Add, subtract, multiply, and divide rational expressions
• Find the inverse of a function
• Graph absolute value, piece-wise, sine, and cosine functions
• Apply the unit circle to find the exact solutions for trig functions
• Find and graph the equations for circles and parabolas
• Create the formula and find terms for arithmetic and geometric sequences and series
• Find the probability for given situations
• Analyze data to find statistical measures and make inferences

## General Topics:

• Complex numbers
• Multiplying complex numbers
• Solving Quadratics by square roots
• Factoring
• More factoring
• Solve by completing the square
• Standard form to vertex form
• Introduction to polynomials
• Polynomial graphs and solving polynomials by graphing
• Solving polynomials by factoring
• The Remainder Theorem
• Polynomial division
• Multiplying rational expressions
• Dividing rational expressions
• Adding and subtracting rational expressions
• Solving rational equations
• Properties of exponents
• Graphing exponential functions
• Exponential equations
• Exponential models
• Logarithms as inverses
• Using logarithms to solve exponential equations
• Graphing logarithmic functions
• Rational exponent properties
• Inverse functions
• Function operations
• Even and odd functions
• Systems of equations
• Absolute value graphs
• Piecewise graphs
• Step function
• Sine, cosine and tangent
• The Unit Circle
• Trig identities
• Sine graphs
• Cosine graphs
• Equations of circles
• Circles and completing the square
• Parabolas - Focus and Directrix
• Sequences and series
• Arithmetic sequences
• Arithmetic series
• Geometric sequences
• Geometric series
• Recursive sequences
• Counting principle
• Probability
• Multiplying probabilities
• Statistical measures
• Normal distribution
• Populations, samples, and hypothesis
• Making inferences from sample surveys
• Making inferences from sample experiments
• Two-way frequency tables
Instruction & Assessment

## Instructional Strategies:

• Computer Based Training
• Discussion
• Learner Presentations
• Practical Exercises

## Methods of Assessment:

• Other
• Performance Rubrics (Checklists)
• Presentations
• Quizzes
• Scenarios, teacher facilitated discussions

## Minimum Passing Score:

70%
Supplemental Materials