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Math 210 - Calculus I

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.

Lecture 22-5 - The Question of Area

Time	Lecture Chapters
[00:00:00]	1. Brief History and Overview

Go to the Course Home or watch other lectures:

Lecture 01 - Beginning, Graphing Technology

Lecture 02 - New Functions from Old, Families of Functions

Lecture 03 - Trigonometry for Calculus, Inverse Functions, Exponential & Logarithmic Functions

Lecture 04 - Intuitive Beginning

Lecture 05 - The Algebra of Limits as x -> a

Lecture 06 - The Algebra of Limits as x -> +/- ∞ : End Behavior

Lecture 07 - Continuous Functions

Lecture 08 - Trigonometric Functions

Lecture 09 - Measuring Rates of Change

Lecture 10 - What is a Derivative?

Lecture 11 - Finding Derivatives I & II

Lecture 12 - Finding Derivatives III & IV

Lecture 13 - When Rates of Change are Related

Lecture 14 - Implicit Differentiation, Derivatives Involving Logarithms

Lecture 15 - Derivatives Involving Inverses, Finding Limits Using Differentiation

Lecture 16 - Analyzing the Graphs of Functions I

Lecture 17 - Analyzing the Graphs of Functions II

Lecture 18 - Analyzing the Graphs of Functions III

Lecture 19 - Analyzing the Graphs of Functions IV

Lecture 20 - Optimization Problems

Lecture 21 - Newton's Method for Approximating Roots of Equations, The Mean Value Theorem for Derivative

Lecture 22 - One-Dimensional Motion & the Derivative

Lecture 22-5 - The Question of Area

Lecture 23 - The Indefinite Integral

Lecture 24 - The Indefinite Integration by Substitution

Lecture 25 - Area Defined as a Limit

Lecture 26 - The Definite Integral

Lecture 27 - The Fundamental Theorem of Calculus

Lecture 28 - One Dimensional Motion & the Integral

Lecture 29a - Plane Area

Lecture 29b - Volumes I

Lecture 30 - Volumes II

Lecture 30-03 - Length of a Plane Curve: Finding Arc Lengths

Lecture 30-04 - Length of a Plane Curve: Finding Arc Lengths of Parametric Curves

Lecture 31 - Average Value of a Function, Work

Lecture 31-06 - Work: An Exercise