About This Chapter
Discrete & Finite Mathematics - Chapter Summary
Make your study of discrete and finite mathematics simple by exploring this chapter's entertaining lessons. Created by expert instructors, the lessons offer an in-depth examination of mathematical sets, finite difference, matrices and other related topics, ensuring you're able to do the following:
- Discuss the elements, unions and intersections of mathematical sets
- Explain how to use recursive rules for arithmetic, algebraic and geometric sequences
- Solve math problems using iterative processes
- Define and discuss the application of finite difference
- List types and examples of linear programs
- Provide a description of a matrix
- Identify and discuss types and uses of graphs in discrete math
- Share the definition and examples of tree diagrams in math
Study the lessons in this chapter your way by selecting those you want to review and visiting as many times as you'd like. Paired with each lesson is a short quiz you can take to check your knowledge of key concepts. Any questions that arise during your studies can be submitted to our math experts via the Dashboard. To confirm your overall understanding of discrete and finite mathematics before taking your test, feel free to take our chapter exam.
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.
2. Using Recursive Rules for Arithmetic, Algebraic & Geometric Sequences
When dealing with sequences in math, both algebraic and geometric, we come across recursive rules. Watch this video lesson to learn how recursion works and how you can use a recursive rule to get to your next number using a previous number.
3. Using Iterative Processes to Solve Math Problems
In this lesson, we will discuss what an iterative process is in general, and then we will look at how to use various iterative processes to solve problems in mathematics and the real world.
4. Linear Programs: Types & Examples
In this lesson, we review the general formulation for linear programs (LPs). LP models are then used to formulate some common types of decision problems, and examples are given.
5. What is a Matrix?
As math gets more and more complicated and there become more and more numbers flying around, it becomes really handy to put all these numbers in a nice organized grid... hello matrices! Learn about what they are and why there are used.
6. Graphs in Discrete Math: Definition, Types & Uses
This lesson will define graphs in discrete mathematics, and look at some different types. You'll also see how these types of graphs can be used in some real-world applications.
7. Tree Diagrams in Math: Definition & Examples
Explore what a tree diagram is and how to use it to organize information and answer questions about various outcomes of a particular event in this lesson. See how to create a tree diagram through multiple examples and a detailed explanation.
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