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

Time Lecture Chapters
[00:00:00] 01. Right Triangle Trigonometry
[00:11:25] 02. Trigonometric Graphs
[00:16:40] 03. Handy Trigonometric Identities
[00:21:55] 04. Laws of Sine and Cosine
[00:25:50] 05. Trigonometric Families
[00:30:05] 06. A Function Inverse to Another Function
[00:36:10] 07. When do Inverse Functions (& Their Graphs) Exist?
[00:43:35] 08. Inverse Trigonometric Functions
[00:53:35] 09. The Exponential Function Family
[00:59:40] 10. The Logarithmic Function Family
[01:06:20] 11. Solving Exponential & Logarithmic Equations

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