# Mathematics

Price

9

Duration

## 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 youâ€™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

**Sets**

Basic Set Concepts

Subsets

Understanding Venn Diagrams

Set Operations with Two Sets

Set Operations with Three Sets

**Logic**

Statements and Quantifiers?

Compound Statements

Constructing Truth Tables

Truth Tables for the Conditional and the Biconditional

Equivalent Statements

De Morganâ€™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

**Algebra**

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

**Probability**

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

**Statistics**

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

**Geometry**

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 andâ€¦**

Math and Art

Math and the Environment

Math and Medicine

Math and Music

Math and Sports

## Your Instructor