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Calculus 1 (Full Length Videos)

Professor Leonard via YouTube

Syllabus

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.

Taught by

Professor Leonard

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