Start Learning Mathematics

Overview

This course aims to help learners develop a strong foundation in mathematics by covering topics such as logic, sets, numbers (natural, integers, rational), real numbers, and complex numbers. By the end of the course, students will be able to understand logical statements, work with sets and numbers, and comprehend complex number operations. The teaching method involves a structured approach with theoretical explanations and practical examples. This course is designed for individuals who are new to mathematics or looking to strengthen their fundamental mathematical skills.

Syllabus

Start Learning Mathematics.
Start Learning Logic - Part 1 - Logical Statements, Negation and Conjunction.
Start Learning Logic - Part 2 - Disjunction, Tautology and Logical Equivalence.
Start Learning Logic - Part 3 - Conditional, Biconditional, Implication and Deduction Rules.
Start Learning Sets - Part 1 - Overview and Element Relation.
Start Learning Sets - Part 2 - Predicates, Equality and Subsets.
Start Learning Sets - Part 3 - Union, Intersection, Difference and Power set.
Start Learning Sets - Part 4 - Cartesian Product and Maps.
Start Learning Sets - Part 5 - Range, Image and Preimage.
Start Learning Sets - Part 6 - Injectivity, Surjectivity and Bijectivity.
Start Learning Sets - Part 7 - Composition of Maps.
Start Learning Numbers - Part 1 - Natural Numbers (in Set Theory).
Start Learning Numbers - Part 2 - Natural Numbers (Successor Map and Addition).
Start Learning Numbers - Part 3 - Natural Numbers (Induction and Associativity).
Start Learning Numbers - Part 4 - Natural Numbers (Ordering).
Start Learning Numbers - Part 5 - Natural Numbers (Multiplication).
Start Learning Numbers - Part 6 - Integers (Construction).
Start Learning Numbers - Part 7 - Integers (Addition and Inverses).
Start Learning Numbers - Part 8 - Integers (Multiplication).
Start Learning Numbers - Part 9 - Rational Numbers (Construction).
Start Learning Numbers - Part 10 - Rational Numbers (Addition and Multiplication).
Start Learning Numbers - Part 11 - Rational Numbers (Ordering).
Start Learning Reals - Part 1 - Cauchy Sequences.
Start Learning Reals - Part 2 - Completeness Axiom.
Start Learning Reals - Part 3 - Working With Axioms.
Start Learning Reals - Part 4 - Construction.
Start Learning Complex Numbers - Part 1 - Introduction.
Start Learning Complex Numbers - Part 2 - Definition.
Start Learning Complex Numbers - Part 3 - Absolute Value, Conjugate, Argument.
Greek Letters in Mathematics.