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Ch 67: MTEL Math: Discrete & Finite Math

About This Chapter

This chapter on Discrete and Finite Math is ideal for those who need extra help in the subject area going into the MTEL Math exam. Composed of simple-to-follow lessons taught by professional instructors, this chapter is designed to give you a boost on the subject so you can go into the exam with confidence.

MTEL Math: Discrete and Finite Math - Chapter Summary

This chapter focuses on various forms and operations of discrete and finite math, covering all the related topics you may encounter on the exam. By the end of this chapter, you'll have refreshed and improved your understanding of:

  • Mathematical sets
  • Cardinality and types of subsets
  • Finding the cartesian product and the value of annuity
  • Venn diagrams
  • Categorical propositions and changing them to standard form
  • Compounding interest formulas
  • The matching principle in accounting
  • Recursive sequence
  • Properties of algorithms
  • Linear programming
  • Finite graphs

You'll have the chance to double-check your understanding of the material through a practice quiz at the end of each lesson, which will provide links back to relevant points of the lesson should you answer incorrectly. And if you find you're still unsure, you can always ask our instructors questions using the teacher or help tab.

11 Lessons in Chapter 67: MTEL Math: Discrete & Finite Math
Test your knowledge with a 30-question chapter practice test
Mathematical Sets: Elements, Intersections & Unions

1. Mathematical Sets: Elements, Intersections & Unions

Today we're going to explore mathematical sets, which are surprisingly simple! Sets are just collections of any objects or concepts, also known as elements, that can be related to each other through union or intersection.

Cardinality & Types of Subsets (Infinite, Finite, Equal, Empty)

2. Cardinality & Types of Subsets (Infinite, Finite, Equal, Empty)

In this video, we will add to our knowledge of sets. We will talk about cardinality, infinite, finite, equal and the empty set. I think you will find these very straightforward, so let's begin.

How to Find the Cartesian Product

3. How to Find the Cartesian Product

The Cartesian product allows us to take two sets of mathematical objects and create one new one. With one simple idea, the Cartesian product becomes quick and easy.

Venn Diagrams: Subset, Disjoint, Overlap, Intersection & Union

4. Venn Diagrams: Subset, Disjoint, Overlap, Intersection & Union

The Venn diagram was introduced by John Venn. Yes, the Venn diagram is named after a real person! His idea was to show sets in terms of pictures. The Venn diagram is now used in many fields, including mathematics. Let's take a look at John Venn's idea.

Categorical Propositions: Subject, Predicate, Equivalent & Infinite Sets

5. Categorical Propositions: Subject, Predicate, Equivalent & Infinite Sets

Watch this video lesson to learn how categorical propositions are written. You will also see what the subject and predicate are as well as learn about equivalent and infinite sets.

How to Change Categorical Propositions to Standard Form

6. How to Change Categorical Propositions to Standard Form

Watch this video lesson to learn what categorical propositions are and how you can turn your statements into one of the four standard forms. Also, learn the names of these four standard forms and what they look like.

Compounding Interest Formulas: Calculations & Examples

7. Compounding Interest Formulas: Calculations & Examples

Compound interest is a great way to have your money work for you. In this lesson, find out the formula for calculating compound interest and practice using the formula with several examples.

How to Find the Value of an Annuity

8. How to Find the Value of an Annuity

Want to see how much money you will have in the future if you make a set payment every month towards your annuity? Then watch this video lesson for the formula and how to use it.

Matching Principle in Accounting: Definition & Examples

9. Matching Principle in Accounting: Definition & Examples

In accounting, matching has nothing to do with color coordination and everything to do with the timing of revenues and expenses. The matching principle helps to keep the financial statements a useful and fair representation of results.

Recursive Sequence: Formula & Overview

10. Recursive Sequence: Formula & Overview

One of the most famous recursive sequences is the Fibonacci sequence. In this lesson, learn what makes the Fibonacci sequence a recursive sequence, and discover how you can recognize and create your own.

Properties of Algorithms

11. Properties of Algorithms

Algorithms are a set of step-by-step instructions that satisfy a certain set of properties. In this lesson, we'll explore the properties an algorithm must satisfy in order to be useful using an example.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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Other Chapters

Other chapters within the MTEL Mathematics (09): Practice & Study Guide course

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