Discrete Mathematics: Open Doors to Great Careers

Learn the core topics of Discrete Math to open doors to Computer Science, Data Science, Actuarial Science, and more!

4.55 (178 reviews)
Udemy
platform
English
language
Math
category
instructor
1,881
students
4.5 hours
content
Jan 2018
last update
$64.99
regular price

What you will learn

Refresh your math knowledge.

Gain a firm foundation in Discrete Mathematics for furthering your career.

Learn one of the mathematical subjects crucial for Computer Science.

Learn one of the mathematical subjects needed for Data Science.

Description

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The prerequisite to the course Discrete Mathematics: Open Doors to Great Careers 2.

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Would you like to learn a mathematics subject that is crucial for many high-demand lucrative career fields such as:

  • Computer Science
  • Data Science
  • Actuarial Science
  • Financial Mathematics
  • Cryptography
  • Engineering
  • Computer Graphics
  • Economics

If you're looking to gain a solid foundation in Discrete Mathematics, allowing you to study on your own schedule at a fraction of the cost it would take at a traditional university, to further your career goals, this online course is for you. If you're a working professional needing a refresher on discrete mathematics or a complete beginner who needs to learn Discrete Mathematics for the first time, this online course is for you.

Why you should take this online course: You need to refresh your knowledge of discrete mathematics for your career to earn a higher salary. You need to learn discrete mathematics because it is a required mathematical subject for your chosen career field such as computer science or electrical engineering. You intend to pursue a masters degree or PhD, and discrete mathematics is a required or recommended subject.

Why you should choose this instructor: I earned my PhD in Mathematics from the University of California, Riverside. I have extensive teaching experience: 6 years as a teaching assistant at University of California, Riverside, four years as a faculty member at Western Governors University, #1 in secondary education by the National Council on Teacher Quality, and as a faculty member at Trident University International.

In this course, I cover core topics such as:

  • Propositional Logic
  • Predicate Logic
  • Proofs
  • Mathematical Induction

After taking this course, you will feel CARE-FREE AND CONFIDENT. I will break it all down into bite-sized no-brainer chunksI explain each definition and go through each example STEP BY STEP so that you understand each topic clearly. I will also be AVAILABLE TO ANSWER ANY QUESTIONS you might have on the lecture material or any other questions you are struggling with.

Practice problems are provided for you, and detailed solutions are also provided to check your understanding.

30 day full refund if not satisfied.

Grab a cup of coffee and start listening to the first lecture. I, and your peers, are here to help. We're waiting for your insights and questions! Enroll now!

Content

Introduction

Introduction Lecture

Propositional Logic

Statements
Conjunction and Disjunction
Conditional and Biconditional
Statement Forms
Problem Set: Statement Forms
Logical Equivalence
Problem Set: Logical Equivalence
Tautology and Contradiction
Problem Set: Tautology and Contradiction
Logical Equivalences
Problem Set: Logical Equivalences
Arguments
Problem Set: Arguments
Rules of Inference
Rules of Inference and Constructing Arguments
Problem Set: Rules of Inference

Predicate Logic

Predicate Calculus
Finding the Truth-set of a Predicate
Problem Set: Truth-set
Universal Quantifier
Existential Quantifier
Universal Conditional Statement
Problem Set: Quantifiers
Negations and Quantified Statements
Problem Set: Negations and Quantified Statements
Multiple Quantifiers
Negations and Multiply-Quantified Statements
Problem Set: Multiple Quantifiers
Rules of Inference Involving Universal Quantifier
Rules of Inference Involving Existential Quantifier
Problem Set: Rules of Inference Involving Quantifiers
Constructing Arguments Involving Quantified Statements
Problem Set: Constructing Arguments Involving Quantified Statements

Proofs

Methods of Proof
Proving Universal Statements
Problem Set: Methods of Proof
Proof by Contradiction
Proof by Contraposition
Problem Set: Proofs by Contradiction and by Contraposition

Mathematical Induction

Mathematical Induction
Problem Set: Mathematical Induction
Strong Induction
Strong Induction: Example
Strong Induction: Additional Example
Problem Set: Strong Induction

Concluding Letter

Concluding Letter
Bonus Lecture

Screenshots

Discrete Mathematics: Open Doors to Great Careers - Screenshot_01Discrete Mathematics: Open Doors to Great Careers - Screenshot_02Discrete Mathematics: Open Doors to Great Careers - Screenshot_03Discrete Mathematics: Open Doors to Great Careers - Screenshot_04

Reviews

Ali
August 3, 2022
Poorly explained why and how he did proofs, and mathematical inductions. Course should be longer, things went downhill after predicate logic.
James
May 5, 2020
I am looking forward to adding this course to my credentials. The instructor starts at the beginning and clearly explains the material very clearly and makes it understandable.
Amber
November 9, 2017
Videos are very straightforward and to the point. Instructor is clear for the most part. There was 1 video I had to re-watch a couple of times, but mostly subject matter is presented clearly and concisely.
Tommy
November 9, 2017
I really enjoyed this course. It really clarified and solidified the foundation of Discrete Mathematics for me. Aside from the low volume and somewhat terrible handwriting; it was easy to follow!
Justin
September 24, 2017
Professor, It was an awesome course. My only complaint is that you switch variables a lot and there seems to be a bit of overlap in their meaning. Maybe if you gave primer on why you use which variables. For example, I believe for some number that is in a set of number you use the letter "c", however if you say the work domain you use "x" to represent that and then a number in that range you would use "k". I sometimes felt a bit confused at your usage and it distracted from what you were teaching. If this is the standard I only humbly ask that you explain why you use which letters, or please have consitancy in your usage :)
Lucio
August 19, 2017
This course is excellent, if you need a refresh or quick understanding of discrete mathematics foundations. The best thing of it is that the instructor goes directly to the point, put you to make exercises and later on you have solutions to confirm that you are really understanding. Furthermore, the speech tone, speed, voice and duration of explanations is very well balanced.
Olukunle
August 16, 2017
I enjoyed learning this course as the concepts were well explained. However, I would have loved it if more practice questions were provided in the problem sets especially for the topic "mathematical induction".
Catherine
July 20, 2017
This teacher definitely explains the concepts well, but the speed of the course is extremely slow and the examples given (at least in the first 3 lectures) are much too excessive. Given what I have seen so far, I am anticipating that this class will give a very good base for Discrete Math, but I do not believe that it will sufficiently prepare me for any classes that require a college level discrete math course.
Jeff
June 23, 2017
This course is great. The explanations are clear and easy to understand. This course is well worth the money paid.
Dhrumil
April 7, 2017
Step by step explanation of each concept. It will be more helpful if more example have taken. But although good course to start with discrete math.
Otto
March 27, 2017
Good content. Professor could make use of a better material, though. Had he used different colours during examples it would have beeb much better already.
James
October 31, 2016
Lectures make sense, but delivery is somewhat sloppy (uses paint style program to write text, verbal lectures are slow and non-engaging). Material presented is good.
Mimi
October 18, 2016
Fantastic he really explains it thoroughly the foundation of discrete math and the videos are short, when you are learning have a pen and write and think about it as you are watching it will make sense! Thanks for having these videos
Ralph
August 24, 2016
I feel that the course is still in its infancy. However, the direction of the course is becoming clearer to me.
BananaGator
August 14, 2016
Slow even on 2x speed and the writing is sloppy and hard to follow. Lessons are to the point which is good but they are not presented interestingly.

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627692
udemy ID
10/1/2015
course created date
2/8/2020
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