Discrete Math & Real-World Applications ← School Curriculum

What you'll learn
Prepare your mind for future technical knowledge you will encounter in college or many careers in systems, engineering, computer science, business, economics
Find inspiration about future technology and other career interests by encountering new topics from a different kind of applied math
Improve upon your critical thinking and problem solving faculties
Learn about the topics in math that are typically ignored in schools

Requirements
Basic Algebra

Description
School Computer Curriculum - Suitable for part of a semester for high school or middle school grades

For teacher curriculum bundle see Termeric Education website.

Discrete Mathematics covers many fundamental theories which are the foundation for many fields in systems, engineering, computer science, business, economics, sciences, general problem solving, critical thinking, and more. Roughly, it is the math that is not part of Algebra/Calculus/Geometry which are typically taught in schools.

Sadly, despite its application in higher education and many careers and fields, Discrete Mathematics is seldom taught in the USA high schools, for the unfortunate reason that it is not covered in the SAT examinations.

Learning about topics in Discrete Mathematics can help junior high and high school students in the following ways

Find inspiration about future technology and other career interests by encountering new topics from a different kind of applied math

Prepare their minds for future technical knowledge they will encounter in college or many careers in systems, engineering, computer science, business, and economics

Improve upon their critical thinking and problem solving skills

In this class series, high school and junior high students get an accessible, hands-on overview to several topics in Discrete Math. We won't go too deep in each subject, but students will get a nice preview of several important subjects in Discrete Math and understand their application to the real world.

Each class includes class-time exercises. The student will be prompted to pause the video, do the exercise, and then resume the video to compare his/her work with the teacher. Each unit includes take-home exercises and solutions.

Topics covered in this course include

Propositional Logic

Operations

Truth Tables

Simplifying Statements

Graphs

Basic Concepts

Shortest Path Algorithm

Sets

Basic Concepts

Venn Diagrams

Operations

First-Order Set Logic

State Machines

Number Theory

Coprimes

Remainder Classes

Counting

Combinations

Permutations

Probability

Proofs

Direct

By Contrapositive

By Cases

I have used "Discrete Mathematics: An Open Introduction" by Oscar Levin, a great free online textbook, as an inspiration to create this course.

Who this course is for
High School and Junior High students interested in the "other" Math beyond Algebra, Geometry, Calculus
Students who want to preview and learn about the application of Discrete Math in technology, numerous fields and careers

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