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This is a collection of video lectures for Math 210: Calculus I from UMKC (University of Missouri-Kansas City).
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English [CC]
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Description
Consisting of 31 lectures taught by Professor Richard Delaware, this course introduces the concepts and techniques of differential calculus and integral calculus. The topics covered here include a review of precalculus, limits of functions, the derivative of a function, applications of differential calculus, the integral of a function, and applications of integral calculus.
Course content
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- Lecture 01 – Beginning, Graphing Technology Unlimited
- Lecture 02 – New Functions from Old, Families of Functions Unlimited
- Lecture 03 – Trigonometry for Calculus, Inverse Functions, Exponential & Logarithmic Functions Unlimited
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- Lecture 04 – Intuitive Beginning Unlimited
- Lecture 05 – The Algebra of Limits as x -> a Unlimited
- Lecture 06 – The Algebra of Limits as x -> +/- ∞ : End Behavior Unlimited
- Lecture 07 – Continuous Functions Unlimited
- Lecture 08 – Trigonometric Functions Unlimited
- Lecture 09 – Measuring Rates of Change Unlimited
- Lecture 10 – What is a Derivative? Unlimited
- Lecture 11 – Finding Derivatives I & II Unlimited
- Lecture 12 – Finding Derivatives III & IV Unlimited
- Lecture 13 – When Rates of Change are Related Unlimited
- Lecture 16 – Analyzing the Graphs of Functions I Unlimited
- Lecture 17 – Analyzing the Graphs of Functions II Unlimited
- Lecture 18 – Analyzing the Graphs of Functions III Unlimited
- Lecture 19 – Analyzing the Graphs of Functions IV Unlimited
- Lecture 20 – Optimization Problems Unlimited
- Lecture 21 – Newton’s Method for Approximating Roots of Equations Unlimited
- Lecture 22 – One-Dimensional Motion & the Derivative Unlimited
- Lecture 29a – Plane Area Unlimited
- Lecture 29b – Volumes I Unlimited
- Lecture 30 – Volumes II Unlimited
- Lecture 30-03 – Length of a Plane Curve: Finding Arc Lengths Unlimited
- Lecture 30-04 – Length of a Plane Curve: Finding Arc Lengths of Parametric Curves Unlimited
- Lecture 31 – Average Value of a Function, Work Unlimited
- Lecture 31-06 – Work: An Exercise Unlimited
Instructor
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