An edition of A youtube Calculus Workbook (Part I)
(2013)
A youtube Calculus Workbook (Part I)
by Frédéric Mynard New Jersey City Universi...
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Last edited by Alice Kirk
January 12, 2016 | History
This book is a guide through a playlist of Calculus instructional videos.
You can download the book for free via the link below.
Publish Date
2013
Publisher
Bookboon
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Book Details
Table of Contents
Innhold
M1: Limits
Definition of the limit of a function
Limit laws
Evaluating limits
Squeeze Theorem
Applications
M1 Sample Quiz
Solutions to M1 sample Quiz
M2: One-sided limits; infinite limits and limits at infinity
one-sided limits: definition
one-sided limits: examples
M2 Sample Quiz 1: one-sided limits
Solutions to the M2 sample Quiz
Definition of infinite limits
Finding vertical asymptotes
Limits at infinity and horizontal asymptotes
Finding horizontal asymptotes
Slant asymptotes
1M2 sample Quiz 2: infinite limits, limits at infinity, asymptotes
1Solutions to the M2 sample Quiz
M3: Continuity and Derivatives
Continuity: definition
Finding discontinuities
The Intermediate Value Theorem
M3 Sample Quiz 1: continuity
M3 Sample Quiz 1 Solutions
Definition of the derivative
Derivative as a function
Derivative: Examples and applications
M3 Sample Quiz 2: derivative
1M3 Sample Quiz 2 Solutions
Review for the first 3 modules
MOCK TEST
Solutions to Mock Test
M4: Differentiation Rules
Power Rule for differentiation
Constant multiple and Sum Rules for derivatives
Product Rule for differentiation
Quotient Rule for derivatives
Differentiation Rules, examples and applications
M4 Sample Quiz
M4 Sample Quiz Solutions
M5: Derivatives of Trigonometric functions; Chain Rule
Derivatives of trig functions
Derivatives of trig functions: Examples
M5 Sample Quiz 1: derivatives of trig functions
M5 Sample Quiz 1 Solutions
Chain Rule
Examples using the Chain Rule
M5 Sample Quiz 2: Chain Rule
M5 Sample Quiz 2 Solutions
M6: Implicit Differentiation; Related Rates Problems
Implicit Differentiation
Implicit Differentiation: Examples
M6 Sample Quiz 1: Implicit Differentiation
M6 Sample Quiz 1 Solutions
Related Rates: first problems
Related Rates: filling up a tank
Related Rates: Radar gun
Related Rates: moving shadow
M6 Sample Quiz 2: Related Rates
1M6 Sample Quiz 2 Solutions
Review on modules M4 to M
MOCK TEST
MOCK TEST 2 Solutions
M7: Extreme Values of a function
Extrema
local extrema and critical values
Closed Interval Method
M7 Sample Quiz
M7 Sample Quiz Solutions
M8: the Mean Value Theorem and first derivative Test
Rolle’s Theorem
The Mean Value Theorem
Applications of the Mean Value Theorem
M8 Sample Quiz 1: Mean Value Theorem
M8 Sample Quiz 1 Solutions
Intervals of increase and decrease
First Derivative Test: further examples
M8 Sample Quiz 2: Intervals of increase and decrease
M8 Sample Quiz 2 Solutions
M9: Curve Sketching
Concavity and inflection points
Second derivative Test
Curve Sketching: Examples
M9 Sample Quiz: Curve Sketching
M9 Sample Quiz Solutions
M10: Optimization
Optimization: First examples and general method
Example: an open box
Example: the best poster
Example: across the marshes
Example: the best soda can
M10 Sample Quiz: optimization
M10 sample Quiz Solutions
Review on modules 7 through 1
MOCK TEST
MOCK TEST 3 Solutions
M11: Definite Integral
Preliminaries: Sums
The area problem
Formal definition of the definite integral
First examples of definite integrals
Properties of integrals
M11 Sample Quiz
M11 Sample Quiz Solutions
M12: Indefinite Integral
Antiderivatives
Antiderivatives: Examples
M12 Sample Quiz: indefinite integrals
M12 Sample Quiz Solutions
M13: Calculating Integrals
Fundamental Theorem of Calculus
Proof of the Fundamental Theorem of Calculus
M13 Sample Quiz 1: FTC applied
M13 Sample Quiz 1 Solutions
Substitution for indefinite integrals
Substitution for definite integrals
Integrals and symmetry
M13 Sample Quiz 2: substitution
M13 Sample Quiz 2 Solutions
M14: areas and other applications
Area between two curves
M14 Sample Quiz 1: areas
M14 Sample Quiz 1 Solutions
Arc Length
Work
M14 Sample Quiz 2: applications
M14 Sample Quiz 2 Solutions
M15: Volumes
Volume by cross-section
Volume by cross-section: solids of revolution
Volume by cylindrical Shells
M15 Sample Quiz: volumes
M15 Sample Quiz Solutions
Review on Modules 11 through 1
MOCK TEST
MOCK TEST 4 Solutions
Index
Endnote
Edition Identifiers
Work Identifiers
Links outside Open Library
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