Calculus 1 Full Lectures (Professor Leonard)
- Course audio
- Course audio: English
- Level
- Beginner
- Length
- 15 lessons
What you'll be able to do
- Evaluate limits and check continuity
- Differentiate with the power, product, quotient and chain rules
- Solve related-rates and optimisation problems
About this course
Professor Leonard's full-length classroom lectures for a first calculus course. He starts with a review of lines and angle of inclination, functions and trigonometry, then teaches limits and continuity, the definition of the derivative, differentiation rules, the chain rule, implicit differentiation, related rates, curve sketching, optimisation, and an introduction to integration, with many worked examples on the board. It suits FSc and first-year university students who learn best from patient, complete explanations. Watch 3Blue1Brown's Essence of Calculus alongside for intuition.
Before you start: Algebra and trigonometry
Syllabus
Sabaq lists the first 15 videos of this playlist; the rest continue on YouTube. Full playlist on YouTube
- 1Calculus 1 Lecture 0.1: Lines, Angle of Inclination, and the Distance Formula
- 2Calculus 1 Lecture 0.2: Introduction to Functions.
- 3Calculus 1 Lecture 0.3: Review of Trigonometry and Graphing Trigonometric Functions
- 4Calculus 1 Lecture 0.4: Combining and Composition of Functions
- 5Calculus 1 Lecture 1.1: An Introduction to Limits
- 6Calculus 1 Lecture 1.2: Properties of Limits. Techniques of Limit Computation
- 7Calculus 1 Lecture 1.4: Continuity of Functions
- 8Calculus 1 Lecture 1.5: Slope of a Curve, Velocity, and Rates of Change
- 9Calculus 1 Lecture 2.1: Introduction to the Derivative of a Function
- 10Calculus 1 Lecture 2.2: Techniques of Differentiation (Finding Derivatives of Functions Easily)
- 11Calculus 1 Lecture 2.3: The Product and Quotient Rules for Derivatives of Functions
- 12Calculus 1 Lecture 2.4: Applications of the Derivative
- 13Calculus 1 Lecture 2.5: Finding Derivatives of Trigonometric Functions
- 14Calculus 1 Lecture 2.6: Discussion of the Chain Rule for Derivatives of Functions
- 15Calculus 1 Lecture 2.7: Implicit Differentiation
What to take next
Videos by Professor Leonard, played from their official YouTube channel. Subscribe on YouTube
Official upload by the teacher or institution on their own channel, shown with YouTube's embedded player.
Sabaq lists the first 15 videos of this playlist; the rest continue on YouTube. Full playlist on YouTube
Lessons last checked Oct 2026. Course summary and lesson structure by Sabaq.
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