TEACH YOURSELF CALCULUS WITH PERVEZ HOODBHOY
GOAL
To enable students to learn this beautiful subject with zero or minimal assistance.
CONTENTS AND INSTRUCTIONS
Click here to download the contents and instructions for this series of 30 self-learning lectures by Pervez Hoodbhoy.
LECTURES
- Lecture 1: Functions (English, Urdu)
- Lecture 2: Graphs of Functions – I (English, Urdu)
- Lecture 3: Graphs of Functions -II (English, Urdu)
- Lecture 4: Limits (English, Urdu)
- Lecture 5: Continuous Functions (English, Urdu)
- Lecture 6: Differentiation – I (English, Urdu)
- Lecture 7: Differentiation – II (English, Urdu)
- Lecture 8: Maxima and Minima (English, Urdu)
- Lecture 9: Useful Calculus Theorems (English, Urdu)
- Lecture 10: The Exponential Function (English, Urdu)
- Lecture 11: Inverse Functions and Logarithms (English, Urdu)
- Lecture 12: Taylor’s Theorem (English, Urdu)
- Lecture 13: Integration – I (English, Urdu)
- Lecture 14: Integration – II (English, Urdu)
- Lecture 15: Integration Techniques – I (English, Urdu)
- Lecture 16: Integration Techniques – II (English, Urdu)
- Lecture 17: Integration Techniques – III (English, Urdu)
- Lecture 18: Convergent and Divergent Integrals (English, Urdu)
- Lecture 19: Numerical Integration (English, Urdu)
- Lecture 20: Length of a Curve (English, Urdu)
- Lecture 21: Areas and Volumes (English, Urdu)
- Lecture 22: Parametric Curves (English, Urdu)
- Lecture 23: Polar Coordinates (English, Urdu)
- Lecture 24: Vectors (English, Urdu)
- Lecture 25: Vector-valued Functions (English, Urdu)
- Lecture 26: 1st Order Differential Equations – I (English, Urdu)
- Lecture 27: 1st Order Differential Equations – II (English, Urdu)
- Lecture 28: Complex Numbers (English, Urdu)
- Lecture 29: Sequences and Series – I (English, Urdu)
- Lecture 30: Sequences and Series – II (English, Urdu)