Calculus: The Algebra of Area
Calculus: The Algebra of Area — where Classes 11–12 problem-solvers go from exam-style drills to real-world confidence.
Taught byM Sanjeeva ReddyM.Sc. MathematicsWhat you'll learn
Master integration — from notation and substitution to definite integrals and area between curves — through exam-style drills and real Indian-context problems: Nifty 50 trends, monsoon rainfall, onion markets, and canal volumes.
Course content
2 modules10 lessons2h 46m
THE ANTIDERIVATIVE TOOLKIT5 lessons · 1h 04m
- The Integral Sign & Notation
- 01The Algebra of Area video 1
- Power Rule in Reverse
- 02The Algebra of Area video 2
- Constant Multiple & Sum Rules
- 03The Algebra of Area video 3
- The Substitution Trick
- 04The Algebra of Area video 4
- Substitution in Action
- 05The Algebra of Area video 5
THE AREA ENGINEERS5 lessons · 1h 42m
- Definite Integrals
- 06The Algebra of Area video 6
- The Fundamental Theorem of Calculus
- 07The Algebra of Area video 7
- Evaluating Definite Integrals
- 08The Algebra of Area video 8
- Area Between Two Curves (
- 09The Algebra of Area video 9
- Real-World Area Problems
- 10The Algebra of Area video 10
About this course
Course Outcome:
- Evaluate definite integrals using the Fundamental Theorem of Calculus and interpret the result as signed area.
- Calculate the area between two curves, including cases where curves cross and require splitting the integral into sub-intervals.
- Translate real-world problems from economics, physics, engineering, and finance into definite integral formulations and compute the answers.
Your teacher
M Sanjeeva Reddy
M.Sc. MathematicsFuture-ready mathematics innovator, blending AI, machine learning, and timeless principles to make math accessible and empowering.
