UCLA Course , Prof. Steve Butler

**193**students enrolled

UCLA Course , Prof. Steve Butler

Introduction - Limit Laws, Limits and Continuity - Evaluating Limits Algebraically - Trigonometric Limits, Limits at Infinity - Intermediate Value Theorem - Definition of the Derivative - The Derivative as a Function - Product and Quotient Rules - Higher Derivatives, Trig Functions - The Chain Rule - Implicit Differentiation - Related Rates - Midterm - Linear Approximation, Extreme Values

Extreme Values continued - Mean Value Theorem - The Shape of a Graph - Graph Sketching - Applied Optimization - Newton's Method, Area - The Definite Integral - Midterm - The Indefinite Integral - Fundamental Theorem - The Substitution Method - Areas Between Curves, Average Value - Volumes of Revolution - Method of Cylindrical Shells

Extreme Values continued - Mean Value Theorem - The Shape of a Graph - Graph Sketching - Applied Optimization - Newton's Method, Area - The Definite Integral - Midterm - The Indefinite Integral - Fundamental Theorem - The Substitution Method - Areas Between Curves, Average Value - Volumes of Revolution - Method of Cylindrical Shells

Up Next

You can skip ad in

SKIP AD >

Advertisement

- 2x
- 1.5x
- 1x
- 0.5x
- 0.25x

EMBED LINK

COPY

DIRECT LINK

COPY

PRIVATE CONTENT

OK

Enter password to view

Please enter valid password!

- Play Pause
- Mute UnMute
- Fullscreen Normal
- @Your Company Title

0:00

3.9 (42 Ratings)

Course Description
Math 31A is a course that provides insight into differential calculus and applications as well as an introduction to integration.
About the Professor
Steve Butler is a NSF Postdoctoral Scholar and Assistant Adjunct Professor of the UCLA Department of Mathematics. He received his Ph. D. from UCSD in June of 2008 and has been at UCLA since the Fall of 2008 (where he will be staying for a total of three years). His area of research consists of Combinatorics as well as particular spectral graph theory, combinatorial geometry, and recreational mathematics (i.e., juggling).
Course Webpage httpwww.math.ucla.edu~butler2010math31a
Professors Webpage www.math.ucla.edu~butler
Note Some clips and images may have been blurred or removed to avoid copyright infringement.
See all the UCLA Math 31A Differential & Integral Calculus classes in this series httpwww.youtube.comview_play_list?p=E162D5967A29AA3B
See more courses from UCLA httpwww.youtube.comuclacourses
See more from UCLAs main channel on YouTube httpwww.youtube.comucla

Heads up!

These Course Lecture Videos are licensed under Creative Commons Attribution-Noncommercial-Share Alike 3.0 Unported License by UCLA. 57%

10%

14%

5%

14%

- FreeVideoLectures aim to help millions of students across the world acquire knowledge, gain good grades, get jobs, assist in getting promotions through quality learning material.

- You can write to us
- help@freevideolectures.com

2018 FreeVideoLectures. All rights reserved. FreeVideoLectures only promotes free course material from different sources, we are not endrosed by any university.