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Curriculum
6 Sections
17 Lessons
10 Weeks
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Lecture 1: Introduction to Real Numbers
Review of number system (Rational, Irrational,
3
1.1
Review of number system (Rational, Irrational, Real Numbers)CopyCopy
1.2
Euclidβs division lemma β Concept and IntroductionCopyCopy
1.3
Q1CopyCopy
10 Minutes
1 Question
Lecture 2: Euclidβs Division Algorithm
3
2.1
Euclidβs Division Lemma ke stepsCopyCopy
2.2
Applications to find HCF of two numbersCopyCopy
2.3
Examples based on HCF using Euclidβs AlgorithmCopyCopy
Lecture 3: Fundamental Theorem of Arithmetic
5
3.1
Prime numbers and composite numbersCopyCopy
3.2
Fundamental Theorem of Arithmetic: Every composite number can be expressed as a product of primesCopyCopy
3.3
Use of prime factorisation to find LCM and HCFCopyCopy
3.4
Relationship between HCF Γ LCM = Product of two numbersCopyCopy
3.5
Solved ExamplesCopyCopy
Lecture 4: Revisiting Irrational Numbers
4
4.1
What are irrational numbers?CopyCopy
4.2
Proof that β2, β3, β5 are irrationalCopyCopy
4.3
General method to prove irrationalityCopyCopy
4.4
Examples and Practice ProblemsCopyCopy
Lecture 5: Rational Numbers and their Decimal Expansions
0
Terminating and Non-Terminating Recurring decimals
3
6.1
Concept of how to determine whether a rational number has terminating or repeating decimalCopyCopy
6.2
Application of the form: if the denominator of a rational number (in lowest form) is of the form 2 π Γ 5 π 2 n Γ5 m , then it is terminatingCopyCopy
1 Hour
6.3
Examples and ExercisesCopyCopy
Application of the form: if the denominator of a rational number (in lowest form) is of the form 2 π Γ 5 π 2 n Γ5 m , then it is terminatingCopyCopy
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