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Last updated:

September 23, 2023

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This course includes:

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Description

This is a collection of video lectures for Math 210: Calculus I from UMKC (University of Missouri-Kansas City).

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 Curriculum

    • 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
    • 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 14 – Implicit Differentiation, Derivatives Involving Logarithms Unlimited
    • Lecture 15 – Derivatives Involving Inverses, Finding Limits Using Differentiation 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 22-5 – The Question of Area Unlimited
    • Lecture 23 – The Indefinite Integral Unlimited
    • Lecture 24 – The Indefinite Integration by Substitution Unlimited
    • Lecture 25 – Area Defined as a Limit Unlimited
    • Lecture 26 – The Definite Integral Unlimited
    • Lecture 27 – The Fundamental Theorem of Calculus Unlimited
    • Lecture 28 – One Dimensional Motion & the Integral 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

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