Calculus 1 (Full Length Videos)

Topics: Review of Algebra/Trigonometric Concepts, Finding Limits, Derivatives and Derivative Techniques, Integrals and Integral Techniques, and Applications.

Curated by: Professor Leonard (32 videos)

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Currently Playing: Calculus 1 Lecture 4.3: Area Under a Curve, Limit Approach, Riemann Sums

Calculus 1 Lecture 4.3: Area Under a Curve, Limit Approach, Riemann Sums

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Tracks in this Playlist

• Calculus 1 Lecture 0.1: Lines, Angle of Inclination, and the Distance Formula
• Calculus 1 Lecture 0.2: Introduction to Functions.
• Calculus 1 Lecture 0.3: Review of Trigonometry and Graphing Trigonometric Functions
• Calculus 1 Lecture 0.4: Combining and Composition of Functions
• Calculus 1 Lecture 1.1: An Introduction to Limits
• Calculus 1 Lecture 1.2: Properties of Limits. Techniques of Limit Computation
• Calculus 1 Lecture 1.4: Continuity of Functions
• Calculus 1 Lecture 1.5: Slope of a Curve, Velocity, and Rates of Change
• Calculus 1 Lecture 2.1: Introduction to the Derivative of a Function
• Calculus 1 Lecture 2.2: Techniques of Differentiation (Finding Derivatives of Functions Easily)
• Calculus 1 Lecture 2.3: The Product and Quotient Rules for Derivatives of Functions
• Calculus 1 Lecture 2.4: Applications of the Derivative
• Calculus 1 Lecture 2.5: Finding Derivatives of Trigonometric Functions
• Calculus 1 Lecture 2.6: Discussion of the Chain Rule for Derivatives of Functions
• Calculus 1 Lecture 2.7: Implicit Differentiation
• Calculus 1 Lecture 2.8: Related Rates
• Calculus 1 Lecture 3.1: Increasing/Decreasing and Concavity of Functions
• Calculus 1 Lecture 3.2: A BRIEF Discussion of Rolle's Theorem and Mean-Value Theorem.
• Calculus 1 Lecture 3.3: The First Derivative Test for Increasing and Decreasing
• Calculus 1 Lecture 3.4: The Second Derivative Test for Concavity of Functions
• Calculus 1 Lecture 3.5: Limits of Functions at Infinity
• Calculus 1 Lecture 3.6: How to Sketch Graphs of Functions
• Calculus 1 Lecture 3.7: Optimization; Max/Min Application Problems
• Calculus 1 Lecture 4.1: An Introduction to the Indefinite Integral
• Calculus 1 Lecture 4.2: Integration by Substitution
• Calculus 1 Lecture 4.3: Area Under a Curve, Limit Approach, Riemann Sums
• Calculus 1 Lecture 4.4: The Evaluation of Definite Integrals
• Calculus 1 Lecture 4.5: The Fundamental Theorem of Calculus
• Calculus 1 Lecture 5.1: Finding Area Between Two Curves
• Calculus 1 Lecture 5.2: Volume of Solids By Disks and Washers Method
• Calculus 1 Lecture 5.3: Volume of Solids By Cylindrical Shells Method
• Calculus 1 Lecture 5.4: Finding the Length of a Curve on a Plane