LEC-1 | Definition and Examples of Sequences | Prof. Achyut Chavan | FYBSc MT-111 Calculus | KBCNMU

Описание: In this lecture, we start Unit-2: Sequences from FYBSc MT-111 Calculus (KBCNMU, Jalgaon).
We study the definition of sequences of real numbers and solve several basic examples.
This lecture is prepared as per NEP 2020 syllabus for affiliated colleges (with effect from June 2024).

👨‍🏫 Faculty: Prof. Achyut A. Chavan
📍 University: KBCNMU, Jalgaon
📘 Subject: MT-111 Calculus (Semester I)
▶️ Watch full lecture on Chavan Maths India YouTube Channel.

Youtube Video Link
CLASS: F.Y.B.Sc. Semester - I.
Subject: MT-111 Calculus

As per NEP 2020 for Affiliated Colleges
With effect from June 2024

Unit-1 Real Numbers

Lec-1 | Real Numbers Basics (Number System)
   • FYBSc MT-111 Calculus | Lec-1 | Real Numbe...  

Lecture-2 | Properties of Real Numbers
   • FYBSc MT-111 Calculus | Lecture-2 | Proper...  

Lec-3 | Theorems on Real Numbers with Proofs
   • FYBSc MT-111 Calculus | Lec-3 | Theorems o...  

Lec-4 | Irrational Numbers and Their Proofs
   • FYBSc MT-111 Calculus | Lec-4 | Irrational...  

Lec-5 | The Order Properties of Real Numbers
   • FYBSc MT-111 Calculus | Lec-5 | The Order ...  

Lec-6 | Solving Inequalities using Order Properties of Real Number
   • FYBSc MT-111 Calculus | Lec-6 | Solving In...  

Lect-7 | The Arithmetic Mean – Geometric Mean (AM ≥ GM) Inequality
   • FYBSc MT-111 Calculus | Lect-7 | The Arith...  

Lect-8 | Bernoulli’s Inequality with Proof
   • Lecture-8 | Bernoulli’s Inequality with Pr...  

Lect-9 | Absolute Value and The Real Line | Prof. Achyut Chavan
   • FYBSc MT-111 Calculus | Lecture-9 | Absolu...  

Lec-10 | Triangle Inequality and Its Consequences
   • FYBSc MT-111 Calculus | Lec-10 | Triangle ...  

Lec-11 | Neighbourhood of a Point on a Real Line
   • FYBSc MT-111 Calculus | Lec-11 | Neighbour...  

Lec-12 | Upper Bound, Lower Bound, Bounded Sets, Supremum & Infimum
   • FYBSc MT-111 Calculus | Lec-12 | Upper Bou...  

Lec-13 | Completeness Property of ℝ | Supremum & Infimum
   • FYBSc MT-111 Calculus | Lec-13 | Completen...  

Lec-14 | The Archimedean Property of ℝ
   • FYBSc MT-111 Calculus | Lec-14 | The Archi...  

Lec-14 | Density of Rational Numbers in ℝ
   • FYBSc MT-111 Calculus | Lec-14 | Density o...  

Lec-15 | Intervals of Real Line & Nested Interval Property
   • FYBSc MT-111 Calculus | Lec-15 | Intervals...  

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