Mathematical Logic

By Instructor Categories: Math
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About Course

Fee Structuren

  • u00a360/month (Group)

  • u00a3100/month (1-to-1)

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Course Certificaten


Course Instructor

Hafez-E-Quran

Honu2019s- Al-Quran & Islamic Studies

Islamic University

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*Initial one-to-one consultation, Health & Fitness Assasments Bespoke training program planing, Custom Nutrition plan & recipes. Weekly Progress Reviews

*Initial one-to-one consultation, Health & Fitness Assasments Bespoke training program planing, Custom Nutrition plan & recipes. Weekly Progress Reviews

*Initial one-to-one consultation, Health & Fitness Assasments Bespoke training program planing, Custom Nutrition plan & recipes. Weekly Progress Reviews

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What Will You Learn?

  • Advanced Arithmetic Proficiency
  • Consolidate and extend fluency in all four arithmetic operations, including with larger integers and decimals
  • Number Theory Essentials
  • Understand and apply concepts of factors, multiples, prime numbers, and their role in cryptography and problem-solving
  • Sequences, Patterns, and Early Algebra
  • Identify, analyse, and generate numerical and spatial sequences; introduce algebraic notation and representation (KS3 focus)
  • Fundamentals of Algebraic Reasoning
  • Introduction to variables, algebraic expressions, and the solution of simple linear equations
  • Systematic Logical Deduction
  • Enhance structured thinking and deductive reasoning skills through cryptographic challenges and logic puzzles
  • Introduction to Binary Systems
  • Develop a basic understanding of the binary number system as a foundation for computing

Course Content

Module 1
Advanced Numerical Operations: Mastery of multiplication/division facts, order of operations (BIDMAS/PEDMAS).

Module 2
Principles of Cryptography: Introduction to basic ciphers (Caesar, Atbash) and frequency analysis.

Module 3
Number Theory Applications: Prime numbers, prime factorisation, highest common factor (HCF), lowest common multiple (LCM).

Module 4
Decimal Operations and Applications: Fluency with decimal arithmetic in contextualised problems.

Module 5
Algorithmic Processes and Pattern Recognition: Analysing and generating sequences, understanding input-process-output models.

Module 6
Foundations of Binary Code: Introduction to base-2 number system and its significance in digital systems.

Module 7
Introduction to Algebraic Representation: Using letters for unknowns, forming and simplifying basic expressions.

Module 8
Coordinate Systems in Cryptography: Utilising Cartesian coordinates for encoding and decoding messages.

Module 9
Advanced Logic Puzzles and Deductive Reasoning: Grid puzzles, Sudoku variations, and logical deduction exercises.

Module 10
Integrated Cryptographic Challenge (Project): A summative project involving multi-step code-breaking and logical problem-solving.

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