Course11110614673 lectures
Basic Calculus - 1
Prof. Arindama Singh · IIT Madras
Lectures
Week 1
- The Real line - Part 1
- The Real line - Part 2
- Absolute value - Part 1
- Absolute value - Part 2
- Functions - Part 1
- Functions - Part 2
Week 2
- Transcendental and trigonometric Functions - Part 1
- Transcendental and trigonometric Functions - Part 2
- Limits of functions - Part 1
- Limits of functions - Part 2
- Algebra of limits - Part 1
- Algebra of limits - Part 2
Week 3
- One-sided limits - Part 1
- One-sided limits - Part 2
- Limits at infinity - Part 1
- Limits at infinity - Part 2
- Infinite limits - Part 1
- Infinite limits - Part 2
Week 4
- Continuity - Part 1
- Continuity - Part 2
- Algebra of continuous functions - Part 1
- Algebra of continuous functions - Part 2
- Results on continuity - Part 1
- Results on continuity - Part 2
Week 5
- Differentiability - Part 1
- Differentiability - Part 2
- Derivative and tangent - Part 1
- Derivative and tangent - Part 2
- Rules of differentiation - Part 1
- Rules of differentiation - Part 2
Week 6
- Differentiation exercises - Part 1
- Differentiation exercises - Part 2
- Maxima and minima - Part 1
- Maxima and minima - Part 2
- Rolle's theorem and mean value theorem - Part 1
- Rolle's theorem and mean value theorem - Part 2
Week 7
- Using Rolle's theorem and Mean value theorem - Part 1
- Using Rolle's theorem and Mean value theorem - Part 2
- First derivative test - Part 1
- First derivative test - Part 2
- Second derivative test - Part 1
- Second derivative test - Part 2
Week 8
- Concavity - Part 1
- Concavity - Part 2
- Linearization and differential - Part 1
- Linearization and differential - Part 2
- L'Hospital's rules - Part 1
- L'Hospital's rules - Part 2
Week 9
- Definite integral - Part 1
- Definite integral - Part 2
- Properties of integral - Part 1
- Properties of integral - Part 2
- Fundamental theorem of calculus - Part 1
- Fundamental theorem of calculus - Part 2
Week 10
- Applications of Funda - mental theorem of calculus - Part 1
- Applications of Funda - mental theorem of calculus - Part 2
- Rule of substitution - Part 1
- Rule of substitution - Part 2
- Area between curves - Part 1
- Area between curves - Part 2
Week 11
- Volumes by slicing - Part 1
- Volumes by slicing - Part 2
- The disk method - Part 1
- The disk method - Part 2
- The washer method - Part 1
- The washer method - Part 2
Week 12
- Volumes by cylindrical shells - Part 1
- Volumes by cylindrical shells - Part 2
- Lengths oc curves - Part 1
- Lengths oc curves - Part 2
- Areas of surface of revolution - Part 1
- Areas of surface of revolution - Part 2
Live Session
Syllabus and materials
At NPTEL, as the course publishes them.
Credits and licence
- Institution
- IIT Madras
- Department
- Mathematics
- Teacher
- Prof. Arindama Singh
- Level
- Undergraduate
- Language
- English
- Subjects
- Mathematics
- Source
- NPTEL
- Licence
- CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
- Attribution
- NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
- Who can watch
- NPTEL gives no rating. Invisible Network shows it to Tweens profiles and older, judged from what the source says about it. How courses are placed
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