Ch 69: MTTC Math (Secondary): Discrete & Finite Math

About This Chapter

Increase your capacity to comprehend discrete and finite mathematics when you explore these subjects through this chapter's online video lessons. Review concepts that you studied in college in advance of taking the MTTC Math (Secondary) examination.

MTTC Math (Secondary): Discrete and Finite Math - Chapter Summary

This chapter's brief video lessons are designed to contribute to your enhanced understanding of the principles of discrete and finite mathematics. Use the lessons to review mathematical models and graph theory as you prepare for the MTTC Math (Secondary) examination. This chapter could help you to:

  • Review unions and mathematical sets and subsets
  • Find the Cartesian product
  • Understand Venn diagrams and categorical propositions
  • Convert categorical propositions into standard form
  • Solve problems with Euler circuits and paths
  • Define graph theory and recursive sequences
  • Identify the properties of algorithms
  • Solve a linear programming problem

These topics are examined throughout the short video lessons in this chapter. Benefit from the instruction of knowledgeable mathematics experts while you prepare to answer relevant questions on the MTTC Math (Secondary) examination. Video tags allow you to move from topic to topic and written transcripts mirror the information in the videos. Submit your questions about discrete and finite mathematics to our experts, and complete the multiple-choice quizzes that are included in the chapter.

MTTC Math (Secondary): Discrete and Finite Math Objectives

After reviewing the information in this chapter, you could have a clearer understanding of discrete mathematics theories and concepts. You could also be capable of answering related questions on the 'Data Analysis, Statistics, Probability and Discrete Mathematics' subarea of the MTTC Math (Secondary) examination. The subarea amounts to 28% of the test score.

As you pursue a mathematics teaching endorsement in Michigan, you will be required to answer 80 multiple-choice questions on the MTTC Math (Secondary) examination. You may either take the test on paper or on the computer. The paper-based examination process must not exceed four hours and 30 minutes. If, instead, you are taking the computerized examination, you will have a time limit of two hours and 30 minutes.

10 Lessons in Chapter 69: MTTC Math (Secondary): 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.

Mathematical Models of Euler's Circuits & Euler's Paths

7. Mathematical Models of Euler's Circuits & Euler's Paths

Watch this video lesson to see how Euler paths and circuits are used in the real world. Learn how to solve real-world problems by drawing a graph and finding Euler paths and circuits.

Graph Theory Concepts and Terminology

8. Graph Theory Concepts and Terminology

After watching this video lesson, you will better understand the workings of a graph in graph theory. Learn the key terms that you will see and what they look like on the graph. Also, learn how to navigate a graph.

Recursive Sequence: Formula & Overview

9. 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

10. 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.
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