Quantitative Reasoning

This course teaches practical application of calculations in everyday life, like decision-making, saving money, estimating, understanding media reports, among others. You will gain confidence in your mathematical abilities to feel comfortable navigating math in your daily life.

What you’ll learn

  • Students can complete in as little as 26 days.
  • Mathematics courses have transferred over 10,600 times.
  • 99% of students pass in their first try.
  • Over $19,100,000 saved in Mathematics tuition costs.
Quantitative Reasoning

$99

Plus membership

3 Credits

All courses include:

eTextbooks

2 to 3-day turnaround for grading

Multiple chances to improve your grade

On-demand tutoring & writing center

Student support 7 days a week

$99

Plus membership

3 Credits

All courses include:

eTextbooks

2 to 3-day turnaround for grading

Multiple chances to improve your grade

On-demand tutoring & writing center

Student support 7 days a week

Quantitative Reasoning

$99

Plus membership

3 Credits

About This Course

|
ACE Approved 2023

Our Quantitative Reasoning online course will make math approachable for you, whether you are planning to be a mathematician, engineer, or looking to enter a different profession. After completing the class, you will have gained confidence in your mathematical abilities and feel comfortable navigating math in your daily life.

What You'll Learn

Solve problems based on various operations on numbers, fractions, decimals, and percents

Apply the unit conversion rules to solve the problems based on unit conversions

Solve problems based on perimeter, area, and volume of various shapes

Apply estimation techniques in 1, 2, and 3 dimensions

Solve equations with an unknown value

Construct and solve equations involving x

Solve problems based on rate and comparison involving x

Apply mathematics to everyday problems based on personal finances, health, utilities, and investments

Interpret tables and graphs for linear functions and piecewise linear functions

Sketch the graph using slope and intercept

Utilize various formulas in the spreadsheet

Construct bar charts and pie charts in spreadsheet

Interpret true-false statements, and if-then statements

Solve problems based on logical operators AND/OR/NOT, sets, and Venn diagrams

Interpret the statements using logical deduction and logical induction

Solve problems involving averages, median, spread, and margins of error

Compare between averages of two subpopulations

Solve problems using counting methods

Apply addition and multiplication rules of probabilities

Solve expected value problems

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Course Details

MAT102

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Quantitative Reasoning

Quantitative Reasoning teaches you the practical application of calculations in everyday life. These can include decision-making, saving money, estimating, understanding media reports, among others.

Prerequisites

There are no prerequisites to take this course.

Topic Title Subtopics
Numbers in Everyday Life
  • Numbers
  • Addition
  • Subtraction
  • Multiplication
  • Division
  • Fractions
  • Reducing and expanding fractions
  • Adding and multiplying fractions
  • Fractions and decimal numbers
  • Percents
Solving Everyday Problems
  • Comparisons
  • Times more/ % increase
  • Ratios
  • Rates
  • Unit conversion problems
  • Unit conversion examples
Problem Solving with Shapes
  • Perimeter
  • Area
  • Volume
  • Estimating in 1, 2, and 3 dimensions
  • Angles
Basic Algebra
  • Equations with an unknown value
  • Solving for x
  • Creating equations with x
  • Solving for x mentally
  • Rate and comparison problems with x
Everyday Math Examples
  • Personal finance
  • Health
  • Utilities and phone
  • Electricity
  • Investing: stocks and bonds
Tables, Graphs, and Functions
  • Introduction to functions
  • Function examples
  • Linear functions
  • Linear function examples
  • Graphing via slope and intercept
  • Piecewise linear functions
Spreadsheets
  • Tables and spreadsheets
  • Spreadsheets and formulas
  • Exploring with formulas
  • Spreadsheets and graphing
  • Bar charts
  • Spreadsheets and bar charts
  • Spreadsheets and pie charts
Logic and Sets
  • True/false statements
  • If-then statements
  • Logical deduction
  • If-then statements whose reverse is correct
  • Common logical deduction mistakes
  • Logic: AND/OR
  • AND/OR/NOT logic examples
  • Common applications of logic
  • Logical induction
  • Sets and venn diagrams
Statistics
  • Averages
  • Median
  • Spread
  • Estimates/Margins of error
  • Margin of error examples
  • Comparing averages of two subpopulations
Probability
  • Counting
  • Probability
  • Odds and percent chance
  • Adding and multiplying probabilities
  • Expected values
Functions
  • Functions and function notation
  • Domain and range
  • Rates of change and behavior and graphs
  • Composition of functions
  • Transformation of functions
  • Absolute value functions
  • Inverse functions
Linear Functions
  • Linear functions
  • Graphs of linear functions
  • Modeling with linear functions
  • Fitting linear models to data
Exponential and Logarithmic Functions
  • Exponential functions
  • Graphs of exponential functions
  • Logarithmic functions
  • Graphs of logarithmic functions
  • Logarithmic properties
  • Exponential and logarithmic equations
  • Exponential and logarithmic models
  • Fitting exponential models to data
Voting and Apportionment
  • Voting
  • Ranked choice voting
  • Fair division
  • Apportionment
  • Apportionment in politics
  • Apportionment paradoxes
  • U.S. Electoral College

Your score provides a percentage score and letter grade for each course. A passing percentage is 70% or higher.

Assignments for this course include:

  • 14 Chapters
  • 1 Midterm Exam
  • 1 Final Exam

There is no text for this course. All materials are included in the course fee.

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