Discrete Math: Mathematical Induction for Complete Beginners
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Discrete Math: Mathematical Induction for Complete Beginners

Learn Discrete Mathematical Induction - The backbone of Correctness Proofs in Computer Science & various Math Proofs
4.4 (5 ratings)
Instead of using a simple lifetime average, Udemy calculates a course's star rating by considering a number of different factors such as the number of ratings, the age of ratings, and the likelihood of fraudulent ratings.
1,579 students enrolled
Last updated 7/2017
English
Current price: $10 Original price: $150 Discount: 93% off
5 hours left at this price!
30-Day Money-Back Guarantee
Includes:
  • 1.5 hours on-demand video
  • Full lifetime access
  • Access on mobile and TV
  • Certificate of Completion
What Will I Learn?
  • Understand the Principle of Discrete Mathematical Induction
  • Learn to use Mathematical Induction for Proving Mathematical Statements
  • Computer Program/Algorithm Correctness Proof using Mathematical Induction
  • Mathematical Induction & "The Towers of Hanoi"
  • Mathematical Induction for "Proving the Sum of an Arithmetic Progression"
  • Mathematical Induction for "Proving the Sum of squares of first n natural numbers"
  • Mathematical Induction in "Proving the Divisibility"
  • Mathematical Induction in "Proving the Inequality"
  • Mathematical Induction for "Brain Teasing Real Word Problem"
  • Mathematical Induction for "Proving the Sum of a Geometric Progression"
  • Mathematical Induction for "Proving a result from Geometry"
View Curriculum
Requirements
  • Basic knowledge of Algebra will be advantageous for some lectures of this course, however it's not a necessity to get the overall understanding of the course.
Description

Discrete math is very much "the real world" mathematics. Discrete math is essential to college-level mathematics and beyond. It is increasingly being applied in the practical fields of mathematics and computer science and is a very good tool for improving reasoning and problem-solving capabilities.

Mathematical Induction is an important part of Discrete Mathematics and is highly significant in today's world. Nearly all areas of research in mathematics use induction. It is truly an indispensable tool for Mathematicians. Using induction, one can conclude the truthness of infinitely many Mathematical Statements. 

The mathematics of modern computer science is built almost entirely on discrete math, in particular Mathematical Induction, Combinatorics and Graph Theory. This means that in order to learn the fundamental algorithms used by computer programmers, students will need a solid background in these subjects. At most of the universities, a undergraduate-level course in discrete mathematics is a required part of pursuing a computer science degree. 

Mathematical Induction forms the foundation of all the Computer Program/Algorithm Correctness Proofs used in Computer Science. Correctness Proofs play a very important role in Computer Science in proving the functioning of the program/algorithm. Usually coders have to write a program code and then a correctness proof to prove the validity that the program will run fine for all cases.

Hence, Mathematical Induction is a great technique from discrete math and is fun to learn.

In this course you will learn everything in Mathematical Induction including:

  • The Principle of Discrete Mathematical Induction
  • Learn to use Mathematical Induction for Proving Mathematical Statements
  • Learn to use Mathematical Induction to do Computer Program/Algorithm Correctness proofs
  • Mathematical Induction & "The Towers of Hanoi"
  • Mathematical Induction for "Proving the Sum of an Arithmetic Progression"
  • Mathematical Induction for "Proving the Sum of squares of first n natural numbers"
  • Mathematical Induction in "Proving the Divisibility"
  • Mathematical Induction in "Proving the Inequality"
  • Mathematical Induction for "Proving the Sum of a Geometric Progression"
  • Mathematical Induction in a "Brain Teasing Real World Problem"
  • Mathematical Induction for "Proving a result from Geometry"


Everything is covered step-by-step in live to make one comfortable while learning and also understand the concept in the best way. We are sure this course will be very much rewarding in terms of your career and academic growth and is definitely the amount spent. Moreover, this will be a fun to learn course for anybody who is a Math lover.

The course comes with 100% money back guarantee. This course aims to deliver a quality content and meet the learner's expectations to its best. However, if you ever think that the course is not worth the amount spent, you can ask for a 100% refund within 30 days of the purchase this course.

Who is the target audience?
  • Math Students
  • Computer Programmers/Computer Science Students
  • Any Math lover who is willing to master Discrete Mathematical Induction and learn to Apply it for Math proofs, in Computer Program Correctness Proofs and other problems
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Curriculum For This Course
11 Lectures
01:36:58
+
Introduction to the course
1 Lecture 01:29
+
Introduction to the Principle of Mathematical Induction
1 Lecture 06:52
+
Mathematical Induction for "Proving the Sum of first n natural numbers"
1 Lecture 14:53
Mathematical Induction for "Proving the Sum of first n natural numbers"
14:53
+
Mathematical Induction & "The famous Towers of Hanoi"
1 Lecture 10:22
+
A Brain Teasing Real World Problem
1 Lecture 10:49
A Brain Teasing Real World Problem
10:49
+
Induction for "Proving the Sum of Squares of first n natural numbers"
1 Lecture 10:25
Proving the Sum of Squares of first n natural numbers
10:25
+
Mathematical Induction for "Proving a Result from Geometry"
1 Lecture 08:48
Proving a Result from Geometry
08:48
+
Mathematical Induction for "Proving the Divisibility"
1 Lecture 07:58
Mathematical Induction for "Proving the Divisibility"
07:58
+
Mathematical Induction for "Proving Inequality"
1 Lecture 07:11
Mathematical Induction for "Proving the Inequality"
07:11
+
Mathematical Induction for "Proving the Sum of a Geometric Progression"
1 Lecture 07:07
Proving the Sum of a Geometric Progression
07:07
1 More Section
About the Instructor
Engineering Education Hub by Prateek Porwal
4.4 Average rating
63 Reviews
5,028 Students
4 Courses
Math and Electrical Engineering Educator at Udemy

 Prateek Porwal is an Alumnus of one of the most prestigious colleges of India -The Indian Institute of Technologies (IIT). The IITs are known throughout the world for their high quality education and academic discipline. After working as an Electrical engineer in a Multi-National Company for around 3 years, he decided to quit his highly paid job to pursue his passion towards teaching and never turned back. It has been his wonderful experience teaching students from around the world through online tutoring platforms. 

He likes to teach students and make their life happy and give a good shape to their career. He has taught thousands of students so far in the subjects of Electrical and Electronics Engineering, Maths and Physics  and is continuing to do so without any tiredness. His dedication and teaching expertise has made him one of the most sought after tutor on the platforms he teach.

We are sure his courses will turn out to be a boon for you and help you in making a good career. 

Wishing you all the best:)