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Calculus, International Metric Edition notes (1st edition)
James Stewart - ISBN: 9780538498845
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View all 10 notes for Calculus, International Metric Edition, written by James Stewart. All Calculus, International Metric Edition notes, flashcards, summaries and study guides are written by your fellow students or tutors. Get yourself a Calculus, International Metric Edition summary or other study material that matches your study style perfectly, and studying will be a breeze.
Best selling Calculus, International Metric Edition notes
Concise summary for both beginners and intermediate students, covering: Limits - finding the limit of a function by first order principles; finding the limit near a point; and one sided limits; Continuity - definition of continuity; evaluating functions for signs of continuity; Differentiability - determining whether a function is differentiable or not; relationship between differentiability and continuity
- Class notes
- • 4 pages •
Concise summary for both beginners and intermediate students, covering: Limits - finding the limit of a function by first order principles; finding the limit near a point; and one sided limits; Continuity - definition of continuity; evaluating functions for signs of continuity; Differentiability - determining whether a function is differentiable or not; relationship between differentiability and continuity
Introduction to and revision on Co-Ordinate Geometry: description of distance midpoint formula; definition and formula of straight lines; formula for parallel and perpendicular lines; formula for circles and graphical representations; also includes worked examples for each section
- Class notes
- • 3 pages •
Introduction to and revision on Co-Ordinate Geometry: description of distance midpoint formula; definition and formula of straight lines; formula for parallel and perpendicular lines; formula for circles and graphical representations; also includes worked examples for each section
These lecture notes cover: Revision of first and second derivatives; examples of first and second derivatives; common applications through word problems; graphing of first and second derivatives and how to find one from the other; and linear approximation
- Class notes
- • 4 pages •
These lecture notes cover: Revision of first and second derivatives; examples of first and second derivatives; common applications through word problems; graphing of first and second derivatives and how to find one from the other; and linear approximation
Basic introduction to the concept of the Derivative: Finding the derivative by first principles/ by the definition; graphing of original function and derivative; how to interpret original function from derivative and vice versa
- Class notes
- • 3 pages •
Basic introduction to the concept of the Derivative: Finding the derivative by first principles/ by the definition; graphing of original function and derivative; how to interpret original function from derivative and vice versa
Discusses important features of the derivative: Differences between average velocity and instantaneous velocity in terms of derivatives; practical applications of the derivative; class test revision example
- Class notes
- • 3 pages •
Discusses important features of the derivative: Differences between average velocity and instantaneous velocity in terms of derivatives; practical applications of the derivative; class test revision example
Compares the derivative at a point with that of the derivative over a distance; provides the definition of the derivative (the formula for finding the derivative of any function; provides graphical examples illustrating the derivative at a point and the derivative over a distance; provides and works through in-depth examples of finding derivative using first pricniples
- Class notes
- • 2 pages •
Compares the derivative at a point with that of the derivative over a distance; provides the definition of the derivative (the formula for finding the derivative of any function; provides graphical examples illustrating the derivative at a point and the derivative over a distance; provides and works through in-depth examples of finding derivative using first pricniples
Introducing the concept of shifting functions to produce new functions (new from old); how to shift functions; graphical and algebraic representations; combinations of functions algebraically and graphically; compositions of functions and examples
- Summary
- • 3 pages •
Introducing the concept of shifting functions to produce new functions (new from old); how to shift functions; graphical and algebraic representations; combinations of functions algebraically and graphically; compositions of functions and examples
Introduction to Inverse Functions: Discussion of exponential and logarithmic functions as examples of inverse functions; using Vertical Line Test to check if functions are one-to-one or one-to-many; strategy for finding the inverse function; sketching of inverse functions
- Class notes
- • 3 pages •
Introduction to Inverse Functions: Discussion of exponential and logarithmic functions as examples of inverse functions; using Vertical Line Test to check if functions are one-to-one or one-to-many; strategy for finding the inverse function; sketching of inverse functions
Providing worked examples of inequalities; introduction to absolute values; relationship between absolute values and inequalities; sketching inequalities and absolute values (graphical representation)
- Class notes
- • 4 pages •
Providing worked examples of inequalities; introduction to absolute values; relationship between absolute values and inequalities; sketching inequalities and absolute values (graphical representation)
Concise introduction to functions: definition of a function; examples of functions; ways of representing functions; sketching graphs of functions graphically; identifying functions using the Vertical Line Test (VLT)
- Summary
- • 6 pages •
Concise introduction to functions: definition of a function; examples of functions; ways of representing functions; sketching graphs of functions graphically; identifying functions using the Vertical Line Test (VLT)
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Newest Calculus, International Metric Edition summaries
Concise summary for both beginners and intermediate students, covering: Limits - finding the limit of a function by first order principles; finding the limit near a point; and one sided limits; Continuity - definition of continuity; evaluating functions for signs of continuity; Differentiability - determining whether a function is differentiable or not; relationship between differentiability and continuity
- Class notes
- • 4 pages •
Concise summary for both beginners and intermediate students, covering: Limits - finding the limit of a function by first order principles; finding the limit near a point; and one sided limits; Continuity - definition of continuity; evaluating functions for signs of continuity; Differentiability - determining whether a function is differentiable or not; relationship between differentiability and continuity
Introduction to and revision on Co-Ordinate Geometry: description of distance midpoint formula; definition and formula of straight lines; formula for parallel and perpendicular lines; formula for circles and graphical representations; also includes worked examples for each section
- Class notes
- • 3 pages •
Introduction to and revision on Co-Ordinate Geometry: description of distance midpoint formula; definition and formula of straight lines; formula for parallel and perpendicular lines; formula for circles and graphical representations; also includes worked examples for each section
These lecture notes cover: Revision of first and second derivatives; examples of first and second derivatives; common applications through word problems; graphing of first and second derivatives and how to find one from the other; and linear approximation
- Class notes
- • 4 pages •
These lecture notes cover: Revision of first and second derivatives; examples of first and second derivatives; common applications through word problems; graphing of first and second derivatives and how to find one from the other; and linear approximation
Basic introduction to the concept of the Derivative: Finding the derivative by first principles/ by the definition; graphing of original function and derivative; how to interpret original function from derivative and vice versa
- Class notes
- • 3 pages •
Basic introduction to the concept of the Derivative: Finding the derivative by first principles/ by the definition; graphing of original function and derivative; how to interpret original function from derivative and vice versa
Discusses important features of the derivative: Differences between average velocity and instantaneous velocity in terms of derivatives; practical applications of the derivative; class test revision example
- Class notes
- • 3 pages •
Discusses important features of the derivative: Differences between average velocity and instantaneous velocity in terms of derivatives; practical applications of the derivative; class test revision example
Compares the derivative at a point with that of the derivative over a distance; provides the definition of the derivative (the formula for finding the derivative of any function; provides graphical examples illustrating the derivative at a point and the derivative over a distance; provides and works through in-depth examples of finding derivative using first pricniples
- Class notes
- • 2 pages •
Compares the derivative at a point with that of the derivative over a distance; provides the definition of the derivative (the formula for finding the derivative of any function; provides graphical examples illustrating the derivative at a point and the derivative over a distance; provides and works through in-depth examples of finding derivative using first pricniples
Introducing the concept of shifting functions to produce new functions (new from old); how to shift functions; graphical and algebraic representations; combinations of functions algebraically and graphically; compositions of functions and examples
- Summary
- • 3 pages •
Introducing the concept of shifting functions to produce new functions (new from old); how to shift functions; graphical and algebraic representations; combinations of functions algebraically and graphically; compositions of functions and examples
Introduction to Inverse Functions: Discussion of exponential and logarithmic functions as examples of inverse functions; using Vertical Line Test to check if functions are one-to-one or one-to-many; strategy for finding the inverse function; sketching of inverse functions
- Class notes
- • 3 pages •
Introduction to Inverse Functions: Discussion of exponential and logarithmic functions as examples of inverse functions; using Vertical Line Test to check if functions are one-to-one or one-to-many; strategy for finding the inverse function; sketching of inverse functions
Providing worked examples of inequalities; introduction to absolute values; relationship between absolute values and inequalities; sketching inequalities and absolute values (graphical representation)
- Class notes
- • 4 pages •
Providing worked examples of inequalities; introduction to absolute values; relationship between absolute values and inequalities; sketching inequalities and absolute values (graphical representation)
Concise introduction to functions: definition of a function; examples of functions; ways of representing functions; sketching graphs of functions graphically; identifying functions using the Vertical Line Test (VLT)
- Summary
- • 6 pages •
Concise introduction to functions: definition of a function; examples of functions; ways of representing functions; sketching graphs of functions graphically; identifying functions using the Vertical Line Test (VLT)
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