Calculus: The Algebra of Change
For Class 11–12 students preparing for board exams and entrance tests like JEE, NEET, and BITSAT. Builds a strong foundation for future studies in engineering, economics, and physical sciences.
Taught byM Sanjeeva ReddyM.Sc. MathematicsWhat you'll learn
Learn to compute derivatives with precision, apply them to motion and rate‑of‑change problems, and use higher‑order forms to interpret velocity, acceleration, and jerk. Analyze functions, solve optimization challenges, and connect math reasoning to real‑world science and economics with clarity and confidence.”
Course content
2 modules10 lessons3h 26m
THE DERIVATIVE TOOLKIT5 lessons · 1h 40m
- - Limit Definition & The Rules
- 01Calculus c2 video 1
- The Shrinking Interval (h approaches zero)
- 02Calculus c2 video 2
- Formal Notation & Power Rule
- 03Calculus c2 video 3
- Product & Quotient Rules
- 04Calculus c2 video 4
- Chain Rule
- 05Calculus c2 video 5
OPTIMISING REALITY5 lessons · 1h 46m
- Higher-Order Derivatives
- 06Calculus c2 video 6
- Second Derivative Motion Analysis
- 07Calculus c2 video 7
- Concavity and Curvature
- 08Calculus c2 video 8
- Maxima & Minima
- 09Calculus c2 video 9
- Real-World Optimisation
- 10Calculus c2 video 10
About this course
Course Outcomes:
- Compute first and higher-order derivatives using power rule, product rule, quotient rule, and chain rule with 95% accuracy on polynomial, rational, and composite functions
- Solve Optimization problems by finding critical points and classifying them using first and second derivative tests
- Know the geometric interpretation of first derivative (slope) and second derivative (concavity) for curve analysis
- Feel curious about advanced calculus topics including integration, differential equations, and multivariable calculus
- Feel empowered to apply mathematical Optimization to real-world decisions in business and engineering
Your teacher
M Sanjeeva Reddy
M.Sc. MathematicsFuture-ready mathematics innovator, blending AI, machine learning, and timeless principles to make math accessible and empowering.
