- Course type: Self-paced
- Available Lessons: 88
- Average Lesson Length: 8 min
Eligible for Credit: Yes
Earn transferable credit by taking this course for credit.
Watch a preview:chapter 1 / lesson 1Critical Thinking and Logic in Mathematics
Course SummaryMath 108: Discrete Mathematics has been evaluated and recommended for 3 semester hours and may be transferred to over 2,000 colleges and universities. With this self-paced course, you get engaging lessons, expert instructors who make even the most challenging math and computer science topics simple, and an excellent resource for getting a head start on your degree.
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Course Practice TestCheck your knowledge of this course with a 50-question practice test.
- Comprehensive test covering all topics
- Detailed video explanations for wrong answers
The course objective is to provide students with an overview of discrete mathematics. Students will learn about topics such as logic and proofs, sets and functions, probability, recursion, graph theory, matrices, Boolean algebra and other important discrete math concepts.
Your grade for this course will be calculated out of 300 points. The minimum score required to pass and become eligible for college credit for this course is 210 points, or an overall course grade of 70%. The table below shows the assignments you must complete and how they'll be incorporated into the overall grade.
|Proctored Final Exam||200|
Quizzes are meant to test your comprehension of each lesson as you progress through the course. Here's a breakdown of how you will be graded on quizzes and how they'll factor into your final score:
- You will have 3 attempts to take each quiz for a score.
- The highest score of your first 3 attempts will be recorded as your score for each quiz.
- When you've completed the course, the highest scores from your first 3 attempts at each quiz will be averaged together and weighed against the total possible points for quizzes. For instance, if your average quiz score is 85%, you'll receive 85 out of 100 possible points for quizzes.
- After your initial 3 attempts, you can take a quiz for practice as many times as you'd like.
- You will need to pass each quiz with a score of at least 80% to earn course progress for the lesson. However, it is not necessary to earn 80% within the first three quiz attempts.
Proctored Final Exam
The proctored final exam is a cumulative test designed to ensure that you've mastered the material in the course.
- You'll earn points equivalent to the percentage grade you receive on your proctored final. (So if you earn 90% on the final, that's 90 points toward your final grade.)
- If you're unsatisfied with your score on the exam, you'll be eligible to retake the exam after a 3-day waiting period.
- You can only retake the exam twice, so be sure to use your study guide and fully prepare yourself before you take the exam again.
Items Allowed on Study.com Proctored Exam for Math 108:
- Blank scratch paper
- Pen or pencil
- A non-graphing, scientific calculator (We'll provide you access to Desmos scientific calculator during the final exam.)
Items NOT Allowed on Study.com Proctored Exam for Math 108:
- Office programs, web browsers, or any programs other than Software Secure (including Study.com lessons)
- Textbooks (digital or physical)
- Mobile phones, headphones, speakers, TVs, or radios
- Notebooks or notes
- Graphing calculators
Upon completion of the course, you will be able to:
- Use logical notation
- Perform logical proofs
- Design and evaluate Euler and Hamilton circuits
- Apply recursive functions and solve recurrence relations
- Determine equivalent logic expressions
- Describe useful standard library functions, create functions, and declare parameters
- Use graphs and trees
- Apply basic and advanced principles of counting
- Define sets and sequences.
- Calculate discrete probabilities.
There are no prerequisites for this course.
Math 108 consists of short video lessons that are organized into topical chapters. Each video is approximately 5-10 minutes in length and comes with a quick quiz to help you measure your learning. The course is completely self-paced. Watch lessons on your schedule whenever and wherever you want.
At the end of each chapter, you can complete a chapter test to see if you're ready to move on or have some material to review. Once you've completed the entire course, take the practice test and use the study tools in the course to prepare for the proctored final exam. You may take the proctored final exam whenever you are ready.
How Credit Recommendations Work
This course has been evaluated and recommended by ACE for 3 semester hours in the lower division baccalaureate degree category. To apply for transfer credit, follow these steps:
- If you already have a school in mind, check with the registrar to see if the school will grant credit for courses recommended by either ACE or NCCRS.
- Complete Math 108: Discrete Mathematics by watching video lessons and taking short quizzes.
- Take the Math 108: Discrete Mathematics final exam directly on the Study.com site.
- Request a transcript to be sent to the accredited school of your choice!
- Check out this page for more information on Study.com's credit-recommended courses.
|Introduction to Logic & Proofs||Explain the applications of logic and propositions in mathematics; recognize problems with logical propositions.|
|Sets & Functions in Discrete Math||Discuss the functions of mathematical sets; explain the concept of cardinality; use sets to define functions.|
|Counting Rules, Combinations & Permutations||Define permutations and combinations; explain the pigeonhole principle; use induction to prove mathematical properties.|
|Discrete Probability||Find expected values using theoretical and empirical probability distributions.|
|Binomial Probability||Find binomial probabilities; determine a binomial random variable's mean and standard deviation.|
|Recursion & Advanced Counting||Explain recursive functions; recognize and solve recurrence relations problems; generate functions and explain inclusion/exclusion in mathematical sets.|
|Principles of Graphs & Graph Theory||Recognize the components of numeric graphs; distinguish between Euler and Hamilton paths; find the most efficient path in a graph.|
|Trees in Discrete Mathematics||Evaluate trees and their discrete math applications; explain the functions of binary search trees.|
|Matrices in Discrete Math||Recognize the elements of matrices and explain their mathematical applications and uses; perform addition, subtraction, multiplication, translation and rotation on matrices.|
|Boolean Algebra & Logic Gates||Explain Boolean logic; read truth tables and Karnaugh maps; evaluate logic that's used in various gates.|
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What to Expect For the Exam
This Study.com course has been evaluated and recommended for college credit. Once you've completed this course, you can take the proctored final exam and potentially earn credit. Follow the steps below to take the exam.
Before taking the exam, all of the following requirements must be met:
|A College Accelerator Study.com membership.|
|Completed all lessons in Math 108: Discrete Mathematics course and achieved 100% Quiz Progress.|
|Not attempted to take this exam within the last three days.|
|Have available proctored exams in this month of membership.|
|Have not taken this exam three times. (0/3)|
|Complete the exam readiness quiz.|
Please meet all of the pre-requirements in the Pre-Exam Checklist in order to take the exam.
Exam Process Details
1. Register For Exam
Registering for the exam is simple. First, be sure you meet the system requirements. Next, you'll need to agree to the academic integrity policy. Then just confirm your name and the exam name, and you're ready to go!
2. Download Software Secure
You'll receive an unique access code. Please write this down — you'll need it to take the exam. Then download Software Secure and follow the installation instructions.
3. Take Exam
The exam contains 50 - 100 multiple choice questions. You will have two hours to complete the exam, so don't start until you're sure you can complete the entire thing. And remember to pace yourself!
4. Get Exam Results
We will send you an email with your official exam results within 1 to 2 weeks. If you would like to raise your grade after receiving your exam results, you can retake quizzes with fewer than 3 attempts. You will then need to retake the final exam.
Earning College Credit
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