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Udemy

Fundamentals of Mathematics

via Udemy

Overview

Fundamental of Mathematics(particularly algebra) through animation,explanations,plenty of solved examples for exam

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 & Multiplication Laws
  • 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

Learn the Fundamental of Mathematics throughanimation. 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 youthroughthe 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.Sojoin me here and do it in a quick and easy way. This coursecovers 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

Syllabus

  • Introduction
  • SETS - Names of Sets
  • SETS - Types of Sets
  • SETS - Forms of Sets
  • SETS - Some Problems' Solutions
  • SET OPERATIONS - Types of Set Operations
  • SET OPERATIONS - Properties of Set Operations
  • SET OPERATIONS - De Morgan's Laws
  • SET OPERATIONS - Venn Diagrams
  • SET OPERATIONS - Venn Diagrams - Problems Solutions
  • NUMBER SYSTEM - Real Numbers - Addition Laws
  • NUMBER SYSTEM - Real Numbers - Multiplication Laws
  • NUMBER SYSTEM - Real Numbers - Properties of Inequality
  • NUMBER SYSTEM - Real Numbers - Properties of Equality
  • NUMBER SYSTEM - Complex Numbers - Introduction to Complex Numbers
  • NUMBER SYSTEM - Properties of Complex Numbers - Addition Laws
  • NUMBER SYSTEM - Properties of Complex Numbers - Multiplication Laws
  • NUMBER SYSTEM - Complex Numbers - Verification of Laws of Addition
  • NUMBER SYSTEM - Complex Numbers - Verification of Laws of Multiplication
  • NUMBER SYSTEM - Complex Numbers - Problem Solution
  • BINARY OPERATION OF SETS - Addition Properties
  • BINARY OPERATION OF SETS - Multiplication Properties
  • COORDINATE SYSTEM - Cartesian System - X-Y Plane - Problem Solution
  • COORDINATE SYSTEM - Cartesian System - Complex Plane
  • COORDINATE SYSTEM - Polar System - Polar Plane, Real Plane and Complex Plane
  • GROUPS - Categories of Groups
  • GROUPS - Problem Solution
  • Bonus Materials

Taught by

Moein Ud Din

Reviews

4.3 rating at Udemy based on 48 ratings

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