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MAC 2312: Calculus With Analytic Geometry II: Home
This guide is designed to help FSCJ students do research for their MAC 2312 Calculus class and to help students and faculty find calculus open educational resources in the library and on the Internet.
This guide contains links to information resources related to Calculus and Analytic Geometry, including indexes and databases that can be used to find publications, reference works, data resources, style guides, and pages linking to resources on specific topics in Calculus.
We hope you find it helpful for all your research needs in the study of Calculus.
Find Books
The following links will take you to books, videos and other library materials available from the library on that topic:
(EBSCO) - Academic Search Complete, designed specifically for academic institutions, is the world's most valuable and comprehensive scholarly, multi-disciplinary full-text database, with more than 5,300 full-text periodicals, including 4,400 peer-reviewed journals. In addition to full text, this database offers indexing and abstracts for more than 9,300 journals and a total of 10,900 publications including monographs, reports, conference proceedings, etc. The database features PDF content going back as far as 1865, with the majority of full text titles in native (searchable) PDF format.
FSCJ Library has a great many videos on Mathematics and Calculus through our Films on Demand Database. Simply click the link and explore our ON DEMAND Video Library.
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Quick Links
Primo VE: Library CatalogThis link opens in a new window(FLVC) - Primo VE is a "discovery tool" that performs a "Google-like" search of the College's library catalog and full text databases. Use Primo VE to save research time by searching all of the library's holdings at one time and then limiting your search results to exactly the type of item you need.
Students can gain a thorough understanding of differential and integral calculus with this powerful study tool. They'll also find the related analytic geometry much easier. The clear review of algebra and geometry in this edition will make calculus easier for students who wish to strengthen their knowledge in these areas. Updated to meet the emphasis in current courses, this new edition of a popular guideshy;shy;--more than 104,000 copies were bought of the prior edition--shy;shy;includes problems and examples using graphing calculators.
[PRINT] Cast off the curse of calculus! Students no longer have anything to fear: The Complete Idiot's Guide to Calculus, Second Edition, is here. Like its predecessor, it was created with an audience of students working toward a non-science related degree in mind. A non-intimidating, easy-to-understand textbook companion, this new edition has more explanatory graphs and illustrations and double the number of practice problems. * First edition of this book has sold more copies than any of the other 70+ books on the subject * Twice as many practice problems in this second edition * More college students are now required to take calculus in college than ever before * Author is an award-winning calculus teacher praised for his ability to make this topic fun and approachable * His website, calculus-help.com, reaches thousands of students every month
Slay the calculus monster with this user-friendly guide Calculus For Dummies, 2nd Edition makes calculus manageable?even if you're one of the many students who sweat at the thought of it. By breaking down differentiation and integration into digestible concepts, this guide helps you build a stronger foundation with a solid understanding of the big ideas at work. This user-friendly math book leads you step-by-step through each concept, operation, and solution, explaining the "how" and "why" in plain English instead of math-speak. Through relevant instruction and practical examples, you'll soon learn that real-life calculus isn't nearly the monster it's made out to be. Calculus is a required course for many college majors, and for students without a strong math foundation, it can be a real barrier to graduation. Breaking that barrier down means recognizing calculus for what it is?simply a tool for studying the ways in which variables interact. It's the logical extension of the algebra, geometry, and trigonometry you've already taken, and Calculus For Dummies, 2nd Edition proves that if you can master those classes, you can tackle calculus and win. Includes foundations in algebra, trigonometry, and pre-calculus concepts Explores sequences, series, and graphing common functions Instructs you how to approximate area with integration Features things to remember, things to forget, and things you can't get away with Stop fearing calculus, and learn to embrace the challenge. With this comprehensive study guide, you'll gain the skills and confidence that make all the difference. Calculus For Dummies, 2nd Edition provides a roadmap for success, and the backup you need to get there.
Many colleges and universities require students to take at least one math course, and Calculus I is often the chosen option. Calculus Essentials For Dummies provides explanations of key concepts for students who may have taken calculus in high school and want to review the most important concepts as they gear up for a faster-paced college course. Free of review and ramp-up material, Calculus Essentials For Dummies sticks to the point with content focused on key topics only. It provides discrete explanations of critical concepts taught in a typical two-semester high school calculus class or a college level Calculus I course, from limits and differentiation to integration and infinite series. This guide is also a perfect reference for parents who need to review critical calculus concepts as they help high school students with homework assignments, as well as for adult learners headed back into the classroom who just need a refresher of the core concepts. The Essentials For Dummies Series Dummies is proud to present our new series, The Essentials For Dummies. Now students who are prepping for exams, preparing to study new material, or who just need a refresher can have a concise, easy-to-understand review guide that covers an entire course by concentrating solely on the most important concepts. From algebra and chemistry to grammar and Spanish, our expert authors focus on the skills students most need to succeed in a subject.
This easy-to-understand calculus study aid may be useful for those who are new to the subject. It offers a well-illustrated, step-by-step introduction that moves along at an easy-to-keep-up-with pace. Use it with your textbook or for independent study to improve your comprehension and boost your grades. It features 226 solved and 513 skill-building supplementary problems. This will make up the calculus segments of one-semester liberal arts courses and the various one-semester Calculus courses for business or life sciences. This book should also address weaker students in general freshman calculus and high school advanced placement courses.
Ebooks from the Library
Calculus for Dummies by Mark RyanCalculus For Dummies, 2nd Edition (9781118791295) is now being published as Calculus For Dummies, 2nd Edition (9781119293491). While this version features an older Dummies cover and design, the content is the same as the new release and should not be considered a different product. Slay the calculus monster with this user-friendly guide Calculus For Dummies, 2nd Edition makes calculus manageable--even if you're one of the many students who sweat at the thought of it. By breaking down differentiation and integration into digestible concepts, this guide helps you build a stronger foundation with a solid understanding of the big ideas at work. This user-friendly math book leads you step-by-step through each concept, operation, and solution, explaining the "how" and "why" in plain English instead of math-speak. Through relevant instruction and practical examples, you'll soon learn that real-life calculus isn't nearly the monster it's made out to be. Calculus is a required course for many college majors, and for students without a strong math foundation, it can be a real barrier to graduation. Breaking that barrier down means recognizing calculus for what it is--simply a tool for studying the ways in which variables interact. It's the logical extension of the algebra, geometry, and trigonometry you've already taken, and Calculus For Dummies, 2nd Edition proves that if you can master those classes, you can tackle calculus and win. Includes foundations in algebra, trigonometry, and pre-calculus concepts Explores sequences, series, and graphing common functions Instructs you how to approximate area with integration Features things to remember, things to forget, and things you can't get away with Stop fearing calculus, and learn to embrace the challenge. With this comprehensive study guide, you'll gain the skills and confidence that make all the difference. Calculus For Dummies, 2nd Edition provides a roadmap for success, and the backup you need to get there.
Tough Test Questions? Missed Lectures? Not Enough Time? Fortunately for you, there's Schaum's. More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills. This Schaum's Outline gives you 1,370 fully solved problems Complete review of all course fundamentals Clear, concise explanations of all Advanced Calculus concepts Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time--and get your best test scores Topics include: Numbers; Sequences; Functions, Limits, and Continuity; Derivatives; Integrals; Partial Derivatives; Vectors; Applications of Partial Derivatives; Multiple Integrals; Line Integrals, Surface Integrals, and Integral Theorems; Infinite Series; Improper Integrals; Fourier Series; Fourier Integrals; Gamma and Beta Functions; and Functions of a Complex Variable Schaum's Outlines--Problem Solved.
Take the FEAR OUT of Business Calculus "Business Calculus Demystified" clarifies the concepts and processes of calculus and demonstrates their applications to the workplace. Best-selling math author Rhonda Huettenmueller uses the same combination of winning step-by-step teaching techniques and real-world business and mathematical examples that have succeeded with tens of thousands of college students, regardless of their math experience or affinity for the subject. With "Business Calculus Demystified, " you learn at your own pace. You get explanations that make differentiation and integration -- the main concepts of calculus -- understandable and interesting. This unique self-teaching guide reinforces learning, builds your confidence and skill, and continuously demonstrates your mastery of topics with a wealth of practice problems and detailed solutions throughout, multiple-choice quizzes at the end of each chapter, and a "final exam" that tests your total understanding of business calculus. Learn business calculus for the real world This self-teaching course conquers confusion with clarity and ease. Get ready to: Get a solid foundation right from the start with a review of algebra Master one idea per section -- develop complete, comfortable understanding of a topic before proceeding to the next Find a well-explained definition of the derivative and its properties; instantaneous rates of change; the power, product, quotient, and chain rules; and layering different formulas Learn methods for maximizing revenue and profit... minimizing cost... and solving other optimizing problems See how to use calculus to sketch graphs Understand implicit differentiation, rational functions, exponents, and logarithm functions -- learn how to use log properties to simplify differentiation Painlessly learn integration formulas and techniques and applications of the integral Take a "final exam" and grade it yourself Who says business calculus has to be boring? "Business Calculus Demystified" is a lively and entertaining way to master this essential math subject
Pre-Calculus Demystified leads the reader through all the intricacies and requirements of this essential course Whether you need to pass a class, a college requirement, or get a leg up on more advanced topics, this book provides clear explanation with a wealth of questions, answers and practical examples. Packed with practical examples, graphs, and Q&As, this complete self-teaching guide from the best-selling author of Algebra Demystified covers all the essential topics, including: absolute value, nonlinear inequalities, functions and their graphs, inverses, proportion and ratio, and much more.
A tutorial on how to find areas and approximation to areas by using inscribed and circumscribed rectangles.
An animation illustrating the approximation of the area under the sine function by inscribed and circumscribed rectangles.
An animation illustrating the approximation of the area under a parabola by inscribed and circumscribed rectangles.
A computer program that illustrates the approximation of the area of a circle using inscribed polygons.
An animation showing the approximation of the area of a circle using inscribed polygons.
A computer program that graphically illustrates the Monte Carlo Method to find areas.
Definite Integrals
Definite Integrals
A tutorial on the definition of definite integrals, properties of definite integrals, relationship between definite integrals and areas and the use of technology to evaluate definite integrals using the definition.
A Flash movie illustrating the evaluation of a definite integral using the definition. [using Flash][using Java]
A Flash movie illustrating the finding the area by using the definition of a definite integral.
Computer software that graphically illustrates the use of Riemann sums to approximate the area bounded by the graph of a function and the x-axis and a couple of lines.
Computer software that graphically and numerically approximate an area.
Computer software that graphically and numerically approximate an area by evaluating upper and lower Riemann sums.
Drill problems on evaluating improper integrals over unbounded intervals.
Tutorial on improper integrals of functions with discontinuities.
Open Educational Resources (OERs)
A great deal of the information for this LibGuide comes from Open Educational Resources (OERs). OERs are any type of educational materials that are in the public domain or introduced with an open license. The nature of these open materials means that anyone can legally and freely copy, use, adapt and re-share them. OERs range from textbooks to curricula, syllabi, lecture notes, assignments, tests, projects, audio, video and animation. This page is attributed to Visual Calculus, an OER designed for the study of teaching calculus out of the University of Tennessee.
Plug-ins
Several plug-ins are needed to view some of the materials on this site.
There are a large number of MathView notebooks on this site. These notebooks were originally constructed using the MathView program from Maple. Maple sold this program to another company which has renamed the program LiveMath. The LiveMath plug-in is available from theLiveMath site. Even if you have the MathView plug-in, we recommend that you upgrade to the LiveMath plug-in. Eventually, we plan to upgrade each of the MathView notebooks to LiveMath format.
The Shockwave Flash plug-in is available for free from the Macromedia site. It is available for Macintosh and Windows platforms. The plug-in is now packaged with many browsers. The Flash movies on this site were created with version 4 of Flash; you will need version 4 or higher of the Flash plug-in.
The IBM TechExplorer plug-in (also known as the IBM TechExplorer Hypermedia Browser) is available from the IBM site. There are two versions: (1) the Introductory Version which is free and (2) the Professional Version which is not free and can be purchased from the IBM site mentioned above. We are in the process of modifying our pages so that either version can be used. For a short time, Maple sold Maple Explorer which contained the professional version of the IBM TechExplorer plug-in. The IBM TechExplorer plug-in is available for Windows, Linux, AIX, Solaris, Mac OS and SGI platforms.
Diff. & Int. of Inverse Trig & Hyperbolic Functions
A great deal of the information for this LibGuide comes from Open Educational Resources (OERs). OERs are any type of educational materials that are in the public domain or introduced with an open license. The nature of these open materials means that anyone can legally and freely copy, use, adapt and re-share them. OERs range from textbooks to curricula, syllabi, lecture notes, assignments, tests, projects, audio, video and animation. This page is attributed to Visual Calculus, an OER designed for the study of teaching calculus out of the University of Tennessee.
Plug-ins
Several plug-ins are needed to view some of the materials on this site.
There are a large number of MathView notebooks on this site. These notebooks were originally constructed using the MathView program from Maple. Maple sold this program to another company which has renamed the program LiveMath. The LiveMath plug-in is available from theLiveMath site. Even if you have the MathView plug-in, we recommend that you upgrade to the LiveMath plug-in. Eventually, we plan to upgrade each of the MathView notebooks to LiveMath format.
The Shockwave Flash plug-in is available for free from the Macromedia site. It is available for Macintosh and Windows platforms. The plug-in is now packaged with many browsers. The Flash movies on this site were created with version 4 of Flash; you will need version 4 or higher of the Flash plug-in.
The IBM TechExplorer plug-in (also known as the IBM TechExplorer Hypermedia Browser) is available from the IBM site. There are two versions: (1) the Introductory Version which is free and (2) the Professional Version which is not free and can be purchased from the IBM site mentioned above. We are in the process of modifying our pages so that either version can be used. For a short time, Maple sold Maple Explorer which contained the professional version of the IBM TechExplorer plug-in. The IBM TechExplorer plug-in is available for Windows, Linux, AIX, Solaris, Mac OS and SGI platforms.
More applications of integration
Volumes by shells and disks
Tutorial on the slab or washer method for finding volumes.
Animation illustrating the slab or disk method for finding volumes.
Computer programs that draw the solid of revolution of an area rotated about the x-axis.
Computer programs that graphically illustrate the slab method for finding volumes.
Tutorial on the cylindrical shell method for finding volumes.
Computer programs that graphically illustrate the cylindrical shell method for finding volumes.
A great deal of the information for this LibGuide comes from Open Educational Resources (OERs). OERs are any type of educational materials that are in the public domain or introduced with an open license. The nature of these open materials means that anyone can legally and freely copy, use, adapt and re-share them. OERs range from textbooks to curricula, syllabi, lecture notes, assignments, tests, projects, audio, video and animation. This page is attributed to Visual Calculus, an OER designed for the study of teaching calculus out of the University of Tennessee.
Plug-ins
Several plug-ins are needed to view some of the materials on this site.
There are a large number of MathView notebooks on this site. These notebooks were originally constructed using the MathView program from Maple. Maple sold this program to another company which has renamed the program LiveMath. The LiveMath plug-in is available from theLiveMath site. Even if you have the MathView plug-in, we recommend that you upgrade to the LiveMath plug-in. Eventually, we plan to upgrade each of the MathView notebooks to LiveMath format.
The Shockwave Flash plug-in is available for free from the Macromedia site. It is available for Macintosh and Windows platforms. The plug-in is now packaged with many browsers. The Flash movies on this site were created with version 4 of Flash; you will need version 4 or higher of the Flash plug-in.
The IBM TechExplorer plug-in (also known as the IBM TechExplorer Hypermedia Browser) is available from the IBM site. There are two versions: (1) the Introductory Version which is free and (2) the Professional Version which is not free and can be purchased from the IBM site mentioned above. We are in the process of modifying our pages so that either version can be used. For a short time, Maple sold Maple Explorer which contained the professional version of the IBM TechExplorer plug-in. The IBM TechExplorer plug-in is available for Windows, Linux, AIX, Solaris, Mac OS and SGI platforms.
Techniques of Integration
Integration Techniques
Trig substitutions
Tutorial on integration using the method of substitution.
Drill problems for integration using the method of substitution.
Drill problems on evaluating improper integrals over unbounded intervals.
Tutorial on improper integrals of functions with discontinuities.
L’Hopital’s Rule
L'Hopital's Rule
Drill on applying L'Hopital's Rule. (Using finite limits)
Drill on applying L'Hopital's Rule. (Using infinite limits)
Open Education Resources (OERs)
A great deal of the information for this LibGuide comes from Open Educational Resources (OERs). OERs are any type of educational materials that are in the public domain or introduced with an open license. The nature of these open materials means that anyone can legally and freely copy, use, adapt and re-share them. OERs range from textbooks to curricula, syllabi, lecture notes, assignments, tests, projects, audio, video and animation. This page is attributed to Visual Calculus, an OER designed for the study of teaching calculus out of the University of Tennessee.
Plug-ins
Several plug-ins are needed to view some of the materials on this site.
There are a large number of MathView notebooks on this site. These notebooks were originally constructed using the MathView program from Maple. Maple sold this program to another company which has renamed the program LiveMath. The LiveMath plug-in is available from theLiveMath site. Even if you have the MathView plug-in, we recommend that you upgrade to the LiveMath plug-in. Eventually, we plan to upgrade each of the MathView notebooks to LiveMath format.
The Shockwave Flash plug-in is available for free from the Macromedia site. It is available for Macintosh and Windows platforms. The plug-in is now packaged with many browsers. The Flash movies on this site were created with version 4 of Flash; you will need version 4 or higher of the Flash plug-in.
The IBM TechExplorer plug-in (also known as the IBM TechExplorer Hypermedia Browser) is available from the IBM site. There are two versions: (1) the Introductory Version which is free and (2) the Professional Version which is not free and can be purchased from the IBM site mentioned above. We are in the process of modifying our pages so that either version can be used. For a short time, Maple sold Maple Explorer which contained the professional version of the IBM TechExplorer plug-in. The IBM TechExplorer plug-in is available for Windows, Linux, AIX, Solaris, Mac OS and SGI platforms.
Tutorial on differentiation and integration of power series.
Open Education Resources (OERs)
A great deal of the information for this LibGuide comes from Open Educational Resources (OERs). OERs are any type of educational materials that are in the public domain or introduced with an open license. The nature of these open materials means that anyone can legally and freely copy, use, adapt and re-share them. OERs range from textbooks to curricula, syllabi, lecture notes, assignments, tests, projects, audio, video and animation. This page is attributed to Visual Calculus, an OER designed for the study of teaching calculus out of the University of Tennessee.
Plug-ins
Several plug-ins are needed to view some of the materials on this site.
There are a large number of MathView notebooks on this site. These notebooks were originally constructed using the MathView program from Maple. Maple sold this program to another company which has renamed the program LiveMath. The LiveMath plug-in is available from theLiveMath site. Even if you have the MathView plug-in, we recommend that you upgrade to the LiveMath plug-in. Eventually, we plan to upgrade each of the MathView notebooks to LiveMath format.
The Shockwave Flash plug-in is available for free from the Macromedia site. It is available for Macintosh and Windows platforms. The plug-in is now packaged with many browsers. The Flash movies on this site were created with version 4 of Flash; you will need version 4 or higher of the Flash plug-in.
The IBM TechExplorer plug-in (also known as the IBM TechExplorer Hypermedia Browser) is available from the IBM site. There are two versions: (1) the Introductory Version which is free and (2) the Professional Version which is not free and can be purchased from the IBM site mentioned above. We are in the process of modifying our pages so that either version can be used. For a short time, Maple sold Maple Explorer which contained the professional version of the IBM TechExplorer plug-in. The IBM TechExplorer plug-in is available for Windows, Linux, AIX, Solaris, Mac OS and SGI platforms.
A LiveMath Notebook illustrating how to use the definition of derivative to calculate the derivative of a quotient at a specific point.
A LiveMath Notebook which, using the definition of derivative at a point, investigates the derivative of x^{2/3} at x = 0.
A LiveMath Notebook illustrating how to use the definition of derivative to calculate the derivative of a radical at a specific point.
Computer programs that numerically investigate the behavior of the Newton quotient of a function at a point.
Computer programs that numerically investigate the behavior of the Newton quotient of a function at a point. In this case, the function is not differentiable at the given point.
Computer programs that numerically investigate the behavior of the Newton quotient of a function at a point. In this case, the function is not differentiable at the given point but the limit of the symmetric difference quotient exists.
Linear Approximations
Linear Approximations
Tutorial on the accuracy of a linear approximation.
A LiveMath Notebook which can be used to determine accuracy of using a linear approximation.
Computer programs that can be used to determine accuracy of using a linear approximation. Also,
A great deal of the information for this LibGuide comes from Open Educational Resources (OERs). OERs are any type of educational materials that are in the public domain or introduced with an open license. The nature of these open materials means that anyone can legally and freely copy, use, adapt and re-share them. OERs range from textbooks to curricula, syllabi, lecture notes, assignments, tests, projects, audio, video and animation. This page is attributed to Visual Calculus, an OER designed for the study of teaching calculus out of the University of Tennessee.
Plug-ins
Several plug-ins are needed to view some of the materials on this site.
There are a large number of MathView notebooks on this site. These notebooks were originally constructed using the MathView program from Maple. Maple sold this program to another company which has renamed the program LiveMath. The LiveMath plug-in is available from theLiveMath site. Even if you have the MathView plug-in, we recommend that you upgrade to the LiveMath plug-in. Eventually, we plan to upgrade each of the MathView notebooks to LiveMath format.
The Shockwave Flash plug-in is available for free from the Macromedia site. It is available for Macintosh and Windows platforms. The plug-in is now packaged with many browsers. The Flash movies on this site were created with version 4 of Flash; you will need version 4 or higher of the Flash plug-in.
The IBM TechExplorer plug-in (also known as the IBM TechExplorer Hypermedia Browser) is available from the IBM site. There are two versions: (1) the Introductory Version which is free and (2) the Professional Version which is not free and can be purchased from the IBM site mentioned above. We are in the process of modifying our pages so that either version can be used. For a short time, Maple sold Maple Explorer which contained the professional version of the IBM TechExplorer plug-in. The IBM TechExplorer plug-in is available for Windows, Linux, AIX, Solaris, Mac OS and SGI platforms.
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