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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

Description:

Embark on a comprehensive journey through Calculus 1 with this extensive video lecture series. Master fundamental concepts from algebra and trigonometry review to advanced calculus topics. Explore limits, derivatives, integrals, and their practical applications. Dive deep into each subject with detailed lectures covering lines, functions, trigonometry, continuity, slopes, rates of change, differentiation techniques, implicit differentiation, related rates, function behavior, theorems, graphing, optimization, integration methods, area under curves, volumes of solids, and curve lengths. Gain a solid foundation in calculus through clear explanations and numerous examples provided throughout the course.

Calculus 1

Professor Leonard

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