Fundamentals of Mathematics

  • CategoryOther
  • TypeTutorials
  • LanguageEnglish
  • Total size6.1 GB
  • Uploaded Bycg3780
  • Downloads210
  • Last checkedSep. 01st '21
  • Date uploadedAug. 29th '21
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Fundamentals of Mathematics
MP4 | Video: h264, 1280x720 | Audio: AAC, 48000 Hz
Language: English | Size: 6.12 GB | Duration: 11h 37m
What you'll learn


SETS: Introduction, Names, Types and Forms of sets. Solve numerical problems
SET OPERATIONS: Introduction, types, properties, laws of set operation.
DE MORGRAN'S LAWS: De Morgan's First Law and De Morgan's Second Law with relevant examples
VENN DIAGRAMS: Venn diagrams for subsets, disjoint, overlapping, complement and difference of sets. Then some solved numericals
BINARY OPERATIONS: Introduction, Properties, Addition Laws, Multiplication Laws with applications and some solved problems
NUMBER SYSTEM: Real numbers, Complex numbers, Derivations, Verification, conjugate, modulus, Properties of equality & Inequality, Addition Laws, Multiplication Laws and some solved problems
COORDINATE SYSTEM: Cartesian coordinate system; x-y plane, complex plane, Polar coordinate system; real plane, complex plane. Some solved numerical problems
GROUPS: Categories; Groupoid, Monoid, Semi-Group, Group, Abelian Group. Some solved problems
Requirements
Be able to know the very basic algebra operations
Description
Learn the Fundamental of Mathematics through animation. This course includes videos explanation starting right from introduction and basics, then takes graphical and numerical phase with formulas, verification and proofs. At the end it carries plenty of solved numerical problems with the relevant examples. The lectures' videos are appealing, attractive, fancy (with some nice graphic designing), fast and take less time to walk you through the whole lecture. It's a prefect choice for students who feel boredom watching long lectures and wants things to finish them quickly with the maximum knowledge gain. So join me here and do it in a quick and easy way. This course covers the below list of topics:
Sets
Introduction
Names
Types
Forms
Numerical problems
Set Operations
Introduction
Types
Properties
Laws of set operation
De Morgan's Laws
De Morgan's First Law
De Morgan's Second Law
Relevant examples
Venn Diagrams
Venn diagrams for subset of sets
Venn diagrams for disjoint of sets
Venn diagrams for overlapping of sets
Venn diagrams for complement of sets
Venn diagrams for difference of sets.
Some solved problems
Binary Operations
Introduction
Properties
Addition Laws with applications
Multiplication Laws with applications
Some solved problems
Numerical System
Real numbers
Complex numbers
Derivations & Verification
Conjugate of complex numbers
modulus of complex numbers
Properties of equality & Inequality
Addition Laws
Multiplication Laws
Solved Problems
Coordinate System
Cartesian coordinate system
X-Y plane
Cartesian coordinate system
X-Y plane
Complex plane
Polar coordinate system
Real plane & complex plane
Solved numerical problems
Groups
Categories
Groupoid
Monoid
Semi-Group
Group
Abelian Group
Some solved problems
Who this course is for:
Beginners at school and college level

Files:

[CoursesGhar.Com] - Fundamentals of Mathematics
  • !!! More Courses !!!.txt (1.1 KB)
    • 1. Introduction
    • 1. Introduction.mp4 (7.5 MB)
    10. SET OPERATIONS - Venn Diagrams - Problems Solutions
    • 1. Verify the Union & Integral of Difference sets with the help of Venn Diagrams.mp4 (68.1 MB)
    11. NUMBER SYSTEM - Real Numbers - Addition Laws
    • 1. Closure Law of Addition. Give an example and Verify it mathematically.mp4 (18.4 MB)
    • 2. Commutative Law of Addition. Give an example and Verify it mathematically.mp4 (10.5 MB)
    • 3. Associative Law of Addition. Give an example and Verify it mathematically.mp4 (14.5 MB)
    • 4. Additive Identity Law of Addition. Give an example and Verify it mathematically.mp4 (18.9 MB)
    • 5. Additive Inverse Law of Addition. Give an example and Verify it mathematically.mp4 (18.7 MB)
    12. NUMBER SYSTEM - Real Numbers - Multiplication Laws
    • 1. Closure Law of Multiplication. Give an example and Verify it mathematically.mp4 (16.9 MB)
    • 2. Commutative Law of Multiplication. Give an example and Verify it mathematically.mp4 (13.9 MB)
    • 3. Associative Law of Multiplication. Give an example and Verify it mathematically.mp4 (15.6 MB)
    • 4. Multiplicative Identity Law. Give an example and Verify it mathematically.mp4 (27.5 MB)
    • 5. Multiplicative Inverse Law. Give an example and Verify it mathematically.mp4 (44.8 MB)
    • 6. Multiplication - Addition Laws. Give an example and prove it mathematically.mp4 (36.2 MB)
    13. NUMBER SYSTEM - Real Numbers - Properties of Inequality
    • 1. Trichotomy Property. Prove it mathematically.mp4 (6.9 MB)
    • 2. Trichotomy Product Property. Prove it mathematically.mp4 (22.5 MB)
    • 3. Transitive Property. Prove it mathematically with the help of an example.mp4 (19.8 MB)
    • 4. Additive Property. Prove it mathematically with the help of an example.mp4 (20.2 MB)
    • 5. Multiplicative Property. Prove it mathematically with the help of an example.mp4 (54.2 MB)
    14. NUMBER SYSTEM - Real Numbers - Properties of Equality
    • 1. Reflexive Property of inequality. Give an example and prove it mathematically.mp4 (10.9 MB)
    • 2. Symmetric Property of inequality. Prove it mathematically and give an example.mp4 (25.9 MB)
    • 3. Transitive Property of inequality. Prove it mathematically and give an example.mp4 (14.2 MB)
    • 4. Additive Property of inequality. Prove it mathematically and give an example.mp4 (20.9 MB)
    • 5. Multiplicative Property of inequality. Prove it mathematically with an example.mp4 (32.1 MB)
    • 6. Cancellation Property w.r.t Addition. Prove it mathematically with an example.mp4 (40.4 MB)
    • 7. Cancellation Property w.r.t Multiplication. Prove it mathematically.mp4 (31.3 MB)
    15. NUMBER SYSTEM - Complex Numbers - Introduction to Complex Numbers
    • 1. What is complex numbers Demonstrate how it looks like mathematically.mp4 (15.1 MB)
    • 2. Conjugate Property of a complex number. Show the conjugate of a number.mp4 (11.1 MB)
    • 3. Modulus of a complex number. How to calculate the modulus of a complex number.mp4 (14.2 MB)
    • 4. Derivation of a complex number. How to derive a complex form mathematically.mp4 (104.3 MB)
    16. NUMBER SYSTEM - Properties of Complex Numbers - Addition Laws
    • 1. Closure Law of Addition for a complex number. Verify it mathematically.mp4 (19.1 MB)
    • 2. Commutative Law of Addition for a complex number and Verify it mathematically.mp4 (8.1 MB)
    • 3. Associative Law of Addition for a complex number and Verify it mathematically.mp4 (9.2 MB)
    • 4. Additive Identity Law for a complex number and Verify it mathematically.mp4 (12.8 MB)
    • 5. Additive Inverse Law for a complex number. Verify it mathematically.mp4 (16.4 MB)
    17. NUMBER SYSTEM - Properties of Complex Numbers - Multiplication Laws
    • 1. Closure Law of Multiplication of a complex number.mp4 (8.9 MB)
    • 2. Commutative Law of Multiplication of a complex number.mp4 (5.6 MB)
    • 3. Associative Law of Multiplication of a complex number.mp4 (8.5 MB)
    • 4. Multiplicative Identity Law of a complex number.mp4 (15.3 MB)
    • 5. Multiplicative Inverse Law of a complex number.mp4 (19.8 MB)
    • 6. Addition-Multiplication Law of a complex number.mp4 (9.8 MB)
    18. NUMBER SYSTEM - Complex Numbers - Verification of Laws of Addition
    • 1. Verify the Closure Law of Addition of complex no. Prove it by giving an example.mp4 (34.8 MB)
    • 2. Verify Commutative Law of Addition of complex no. Prove it by giving an example.mp4 (37.0 MB)
    • 3. Verify Associative Law of Addition of complex no. Prove it by giving an example.mp4 (76.0 MB)
    • 4. Verify Additive Identity Law of complex no. Prove it by giving an example.mp4 (21.3 MB)
    • 5. Verify the Additive Inverse Law of a complex number. Prove it mathematically.mp4 (11.6 MB)
    19. NUMBER SYSTEM - Complex Numbers - Verification of Laws of Multiplication
    • 1. Verify Closure Law of Multiplication of complex no. Give an example to prove it.mp4 (71.1 MB)
    • 2. Verify Commutative Law of Multiplication of complex no. Give an example to prove.mp4 (65.9 MB)
    • 3. Verify Associative Law of Multiplication of complex no. Give an example to prove.mp4 (171.0 MB)
    2. SETS - Names of Sets
    • 1. What is set Introduction to a set.mp4 (33.1 MB)
    • 10. Odd Integers.mp4 (11.2 MB)
    • 11. Prime Numbers.mp4 (23.8 MB)
    • 12. Rational Numbers.mp4 (44.9 MB)
    • 13. Irrational Numbers.mp4 (28.6 MB)
    • 14. Real Numbers.mp4 (12.0 MB)
    • 2. Natural Numbers.mp4 (8.8 MB)
    • 3. Whole Numbers.mp4 (9.5 MB)
    • 4. Integers.mp4 (16.7 MB)
    • 5. Positive Integers.mp4 (10.6 MB)
    • 6. Negative Integers.mp4 (5.0 MB)
    • 7. Even Numbers.mp4 (19.0 MB)
    • 8. Odd Numbers.mp4 (9.1 MB)
    • 9. Even Integers.mp4 (8.4 MB)
    20. NUMBER SYSTEM - Complex Numbers - Problem Solution
    • 1. Problem 1 Solve the given complex expressions to their simplified forms.mp4 (74.0 MB)
    • 2. Transform the given expressions into complex forms.mp4 (37.7 MB)
    • 3. Problem 3 Show that the sum or product of any two conjugate numbers is real.mp4 (42.0 MB)
    • 4. Problem 4 Write the complex multiplicative inverse for the given expressions.mp4 (65.3 MB)
    • 5. Problem 5 Factorize the given expressions into complex forms.mp4 (50.5 MB)
    • 6. Problem 6 Write the expression as a single complex form by separating the terms.mp4 (128.4 MB)
    21. BINARY OPERATION OF SETS - Addition Properties
    • 1. What is binary operation Explain it mathematically by giving the examples.mp4 (69.0 MB)

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