The Resource Understanding calculus : : problems, solutions, and tips, The Teaching Company, (videorecording)

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Label
Understanding calculus : : problems, solutions, and tips
Title
Understanding calculus :
Title remainder
problems, solutions, and tips
Statement of responsibility
The Teaching Company
Title variation
Problems, solutions, and tips
Contributor
Producer
Speaker
Subject
Genre
Language
eng
Summary
Calculus is the greatest mathematical breakthrough since the pioneering discoveries of the ancient Greeks. Without it, there would be no spaceflight, skyscrapers, jet planes, economic modeling, or accurate weather forecasting. One of the most powerful problem solving tools ever invented, calculus is a skill that can be learned. Its techniques are used to analyze situations involving change, to calculate optimum values, and to measure complex shapes. With crystal-clear explanations of the beautiful ideas of calculus, frequent study tips, pitfalls to avoid, and--best of all--hundreds of examples and practice problems that are specifically designed to explain and reinforce major concepts, this course will be a valuable guide to conquering calculus
Member of
LAF
Characteristic
videorecording
Credits note
Producer, Matt Costanza ; academic content supervisor, Pam Greer ; editors, Dan Shine, Matt Costanza
Dewey number
515
Language note
No captioning
LC call number
QA303.2
LC item number
.E39 2010
PerformerNote
Lecturer: Dr. Bruce H. Edwards, Professor of Mathematics at the University of Florida
1946-
• Edwards, Bruce H.
• Costanza, Matt
• Teaching Company
Runtime
0
Series statement
Great Courses; Science & mathematics
• Calculus
• Integrals
• Motion
• Space and time
• Calculus, Integral
• Differential calculus
• Mathematical analysis
• Mathematical optimization
• Calculus
• Calculus
Target audience
specialized
Technique
live action
Label
Understanding calculus : : problems, solutions, and tips, The Teaching Company, (videorecording)
Instantiates
Publication
Note
Thirty-six thirty minute lectures
Accompanying material
1 study workbook (iv, 217 pages ; 28 cm).
Bibliography note
Course workbook includes professor biography, statement of course scope, lecture outline with notes and problems, glossary, formulas, theorems, a review of trigonometry, bibliography, solutions, and a summary sheet
Carrier category
videodisc
Carrier category code
vd
Carrier MARC source
rdacarrier
Color
multicolored
Configuration of playback channels
unknown
Content category
two-dimensional moving image
Content type code
tdi
Content type MARC source
rdacontent
Contents
• Lecture 5.
• An introduction to continuity ;
• Lecture 6.
• Infinite limits and limits at infinity
• Disc 2. Lecture 7.
• The derivative and the tangent line problem ;
• Lecture 8.
• Basic differentiation rules ;
• Lecture 9.
• Product and quotient rules ;
• Part 1: Disc 1. Lecture 1.
• Lecture 10.
• The chain rule ;
• Lecture 11.
• Implicit differentiation and related rates ;
• Lecture 12.
• Extrema on an interval
• A preview of calculus ;
• Lecture 2.
• Review: Graphs, models, and functions ;
• Lecture 3.
• Review: Functions and trigonometry ;
• Lecture 4.
• Finding limits ;
• Lecture 17.
• Applications: Optimization problems, part 2 ;
• Lecture 18.
• Antiderivatives and basic integration rules
• Disc 4. Lecture 19.
• The area problem and the definite integral ;
• Lecture 20.
• The fundamental theorem of calculus, part 1 ;
• Lecture 21.
• The fundamental theorem of calculus, part 2 ;
• Part 2: Disc 3. Lecture 13.
• Lecture 22.
• Integration by substitution ;
• Lecture 23.
• Numerical integration ;
• Lecture 24.
• Natural logarithmic function, differentiation
• Increasing and decreasing functions ;
• Lecture 14.
• Concavity and points of inflection ;
• Lecture 15.
• Curve sketching and linear approximations ;
• Lecture 16.
• Applications: Optimization problems, part 1 ;
• Lecture 29.
• Area of a region between 2 curves ;
• Lecture 30.
• Volume, the disk method
• Disc 6. Lecture 31.
• Volume, the shell method ;
• Lecture 32.
• Applications, arc length and surface area ;
• Lecture 33.
• Basic integration rules ;
• Part 3: Disc 5. Lecture 25.
• Lecture 34.
• Other techniques of integration ;
• Lecture 35.
• Differential equations and slope fields ;
• Lecture 36.
• Applications of differential equations
• Natural logarithmic function, integration ;
• Lecture 26.
• Exponential function ;
• Lecture 27.
• Bases other than e ;
• Lecture 28.
• Inverse trigonometric functions ;
Control code
ocn607578861
Dimensions
4 3/4 in. +
Dimensions
other
Extent
6 videodiscs (approximately 1080 min.)
Isbn
9781490666495
Media category
video
Media MARC source
rdamedia
Media type code
v
Medium for sound
videodisc
Other physical details
sound, color
Publisher number
• 1007
• PD1007
Sound on medium or separate
sound on medium
Specific material designation
videodisc
System control number
(OCoLC)607578861
System details
DVD, NTSC
Video recording format
DVD
Label
Understanding calculus : : problems, solutions, and tips, The Teaching Company, (videorecording)
Publication
Note
Thirty-six thirty minute lectures
Accompanying material
1 study workbook (iv, 217 pages ; 28 cm).
Bibliography note
Course workbook includes professor biography, statement of course scope, lecture outline with notes and problems, glossary, formulas, theorems, a review of trigonometry, bibliography, solutions, and a summary sheet
Carrier category
videodisc
Carrier category code
vd
Carrier MARC source
rdacarrier
Color
multicolored
Configuration of playback channels
unknown
Content category
two-dimensional moving image
Content type code
tdi
Content type MARC source
rdacontent
Contents
• Lecture 5.
• An introduction to continuity ;
• Lecture 6.
• Infinite limits and limits at infinity
• Disc 2. Lecture 7.
• The derivative and the tangent line problem ;
• Lecture 8.
• Basic differentiation rules ;
• Lecture 9.
• Product and quotient rules ;
• Part 1: Disc 1. Lecture 1.
• Lecture 10.
• The chain rule ;
• Lecture 11.
• Implicit differentiation and related rates ;
• Lecture 12.
• Extrema on an interval
• A preview of calculus ;
• Lecture 2.
• Review: Graphs, models, and functions ;
• Lecture 3.
• Review: Functions and trigonometry ;
• Lecture 4.
• Finding limits ;
• Lecture 17.
• Applications: Optimization problems, part 2 ;
• Lecture 18.
• Antiderivatives and basic integration rules
• Disc 4. Lecture 19.
• The area problem and the definite integral ;
• Lecture 20.
• The fundamental theorem of calculus, part 1 ;
• Lecture 21.
• The fundamental theorem of calculus, part 2 ;
• Part 2: Disc 3. Lecture 13.
• Lecture 22.
• Integration by substitution ;
• Lecture 23.
• Numerical integration ;
• Lecture 24.
• Natural logarithmic function, differentiation
• Increasing and decreasing functions ;
• Lecture 14.
• Concavity and points of inflection ;
• Lecture 15.
• Curve sketching and linear approximations ;
• Lecture 16.
• Applications: Optimization problems, part 1 ;
• Lecture 29.
• Area of a region between 2 curves ;
• Lecture 30.
• Volume, the disk method
• Disc 6. Lecture 31.
• Volume, the shell method ;
• Lecture 32.
• Applications, arc length and surface area ;
• Lecture 33.
• Basic integration rules ;
• Part 3: Disc 5. Lecture 25.
• Lecture 34.
• Other techniques of integration ;
• Lecture 35.
• Differential equations and slope fields ;
• Lecture 36.
• Applications of differential equations
• Natural logarithmic function, integration ;
• Lecture 26.
• Exponential function ;
• Lecture 27.
• Bases other than e ;
• Lecture 28.
• Inverse trigonometric functions ;
Control code
ocn607578861
Dimensions
4 3/4 in. +
Dimensions
other
Extent
6 videodiscs (approximately 1080 min.)
Isbn
9781490666495
Media category
video
Media MARC source
rdamedia
Media type code
v
Medium for sound
videodisc
Other physical details
sound, color
Publisher number
• 1007
• PD1007
Sound on medium or separate
sound on medium
Specific material designation
videodisc
System control number
(OCoLC)607578861
System details
DVD, NTSC
Video recording format
DVD