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About the Course

Get a Mathematics Certificate

Have you always wanted to gain a deeper understanding of mathematics, either for professional or personal purposes? In this course, you will receive a thorough introduction to the discipline of mathematics, from practical everyday math, to applied theoretical mathematics.

Whether you’re an interested life-long learner or looking to upskill for your career or education, this course will guide you through everything you could hope to learn about the world of mathematics, and then some.

What to Expect

The Mathematics Certificate Course is an online learning program with recommended readings from the textbook (Contemporary Mathematics). This course is self-directed, which means you may study and complete assignments at times that are most convenient for you from the comfort of your own home.

This part-time Mathematics Certificate Course has a recommended completion date of 8 weeks from the start of the program, however, you may choose to complete the course in as little as 6 weeks or as long as 16 weeks, depending on your schedule.

The Mathematics Certificate Course has been created to allow you to complete it without teaching assistance. However, if you have questions or need assistance, you can receive help from a Faculty Member throughout the 8 weeks of the course. Your Faculty Member is a valuable resource person who can provide you with personal teaching assistance to help you succeed in the course.

Course Topics

The Mathematics Certificate Course has been developed to meet high academic standards, ensuring that as a graduate you can display with pride the Mathematics Certificate you will earn from the USILD


  • Basic Set Concepts

  • Subsets

  • Understanding Venn Diagrams

  • Set Operations with Two Sets

  • Set Operations with Three Sets


  • Statements and Quantifiers?

  • Compound Statements

  • Constructing Truth Tables

  • Truth Tables for the Conditional and the Biconditional

  • Equivalent Statements

  • De Morgan’s Laws

  • Logical Arguments

Real Number Systems and Number Theory

  • Prime and Composite Numbers

  • The Integers

  • Order of Operations

  • Rational Numbers

  • Irrational Numbers

  • Real Numbers

  • Clock Arithmetic

  • Exponents

  • Scientific Notation

  • Arithmetic Sequences

  • Geometric Sequences

Number Representation and Calculation

  • Hindu-Arabic Positional System

  • Early Numeration Systems

  • Converting with Base Systems

  • Addition and Subtraction in Base Systems

  • Multiplication and Division in Base Systems


  • Algebraic Expressions

  • Linear Equations in One Variable with Applications

  • Linear Inequalities in One Variable with Applications

  • Ratios and Proportions

  • Graphing Linear Equations and Inequalities

  • Quadratic Equations with Two Variables with Applications

  • Functions

  • Graphing Functions

  • Systems of Linear Equations in Two Variables

  • Linear Programming

Money Management

  • Understanding Percent

  • Discounts, Markups and Sales Tax

  • Simple Interest

  • Compound Interest

  • Making a Personal Budget

  • Methods of Saving

  • Investments

  • The Basics of Loans

  • Understanding Student Loans

  • Credit Cards

  • Buying or Leasing a Car

  • Renting and Home Ownership

  • Income Tax


  • The Multiplication Rule for Counting

  • Permutations

  • Combinations

  • Tree Diagrams, Tables and Outcomes

  • Basic Concepts of Probability

  • Probability with Permutations and Combinations

  • What are the Odds?

  • The Addition Rule for Probability

  • Conditional Probability and the Multiplication Rule

  • The Binomial Distribution

  • Expected Value


  • Gathering and Organizing Data

  • Visualizing Data

  • Mean, Median and Mode

  • Range and Standard Deviation

  • Percentiles

  • The Normal Distribution

  • Applications of the Normal Distribution

  • Scatter Plots, Correlation and Regression Lines

Metric Measurement

  • The Metric System

  • Measuring Area

  • Measuring Volume

  • Measure Weight

  • Measuring Temperature


  • Points, Lines, and Planes

  • Angles

  • Triangles

  • Polygons, Perimeter, and Circumference

  • Tessellations

  • Area

  • Volume and Surface Area

  • Right Triangle Trigonometry

Voting and Apportionment

  • Voting Methods

  • Fairness in Voting Methods

  • Standard Divisors, Standard Quotas, and the Apportionment Problem

  • Apportionment Methods

  • Fairness in Voting Methods

Graph Theory

  • Graph Basics

  • Graph Structures

  • Comparing Graphs

  • Navigating Graphs

  • Euler Circuits

  • Euler Trails

  • Hamilton Cycles

  • Hamilton Paths

  • Traveling Salesperson Problem

  • Trees

Math and…

  • Math and Art

  • Math and the Environment

  • Math and Medicine

  • Math and Music

  • Math and Sports

Your Instructor

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