This short text is designed more for self-study or review than for …
This short text is designed more for self-study or review than for classroom use; full solutions are given for nearly all the end-of-chapter problems. For a more traditional text designed for classroom use, see Fundamentals of Calculus (http://www.lightandmatter.com/fund/). The focus is mainly on integration and differentiation of functions of a single variable, although iterated integrals are discussed. Infinitesimals are used when appropriate, and are treated more rigorously than in old books like Thompson's Calculus Made Easy, but in less detail than in Keisler's Elementary Calculus: An Approach Using Infinitesimals. Numerical examples are given using the open-source computer algebra system Yacas, and Yacas is also used sometimes to cut down on the drudgery of symbolic techniques such as partial fractions. Proofs are given for all important results, but are often relegated to the back of the book, and the emphasis is on teaching the techniques of calculus rather than on abstract results.
Build fractions from shapes and numbers to earn stars in this fractions …
Build fractions from shapes and numbers to earn stars in this fractions game or explore in the Fractions Lab. Challenge yourself on any level you like. Try to collect lots of stars!
Build fractions from shapes and numbers to earn stars in this fractions …
Build fractions from shapes and numbers to earn stars in this fractions game or explore in the Fractions Lab. Challenge yourself on any level you like. Try to collect lots of stars!
This course provides an introduction to applied concepts in Calculus that are …
This course provides an introduction to applied concepts in Calculus that are relevant to the managerial, life, and social sciences. Students should have a firm grasp of the concept of functions to succeed in this course. Topics covered include derivatives of basic functions and how they can be used to optimize quantities such as profit and revenues, as well as integrals of basic functions and how they can be used to describe the total change in a quantity over time.
MATH&148 is a calculus course for business students. It is designed for …
MATH&148 is a calculus course for business students. It is designed for students who want a brief course in calculus. Topics include differential and integral calculus of elementary functions. Problems emphasize business and social science applications. Translating words into mathematics and solving word problems are emphasized over algebra. Applications are mainly business oriented (e.g. cost, revenue, and profit). Mathematical theory and complex algebraic manipulations are not mainstays of this course, which is designed to be less rigorous than the calculus sequence for scientists and engineers. Topics are presented according to the rule of four: geometrically, numerically, analytically, and verbally. That is, symbolic manipulation must be balanced with graphical interpretation, numerical examples, and writing. Trigonometry is not part of the course.
This is an online textbook for a one semester calculus course aimed …
This is an online textbook for a one semester calculus course aimed at business students. The material covered is fairly standard: differentiation and integration without trigonometry, partial derivatives and optimization of functions of several variables. There are several characteristics that differentiate the text from other texts: Excel is used as the main computational engine throughout the text and the needed Excel skills are taught rather than assumed. Examples, exercises, and vocabulary are tailored to uses in a business curriculum. There is a modeling thread throughout the text. Webwork versions of exercises are available on request.
This textbook was written to meet the needs of a twenty-first century …
This textbook was written to meet the needs of a twenty-first century student. It takes a systematic approach to helping students learn how to think and centers on a structured process termed the PUPP Model (Plan, Understand, Perform, and Present). This process is found throughout the text and in every guided example to help students develop a step-by-step problem-solving approach.
This textbook simplifies and integrates annuity types and variable calculations, utilizes relevant algebraic symbols, and is integrated with the Texas Instruments BAII+ calculator. It also contains structured exercises, annotated and detailed formulas, and relevant personal and professional applications in discussion, guided examples, case studies, and even homework questions.
This Business Mathematics courses aim to have students understand basic business problems, …
This Business Mathematics courses aim to have students understand basic business problems, interpret them in mathematical terms, and use the tools of mathematics to solve these problems. The objective of this material is to provide mathematical theory, demonstration and practice for first-year Business students. A grade of C+ or better in Algebra 11 (or equivalent) is the prerequisite for this course; students requiring extensive review or remedial work are expected to have completed a preparatory course such as OPMT 0199, which is offered through part-time studies at BCIT. These notes explain the applications of basic mathematics to business and industry using ratios, functions and graphs, simple and compound interest, financial instruments and discounting, annuities, mortgages, loans, and leases. Cash-flow analysis applying rates of return, net present value, and payback is included.
This sample shell is produced by the California Community Colleges CVC-OEI to …
This sample shell is produced by the California Community Colleges CVC-OEI to support faculty in the use of Open Educational Resources and development of courses aligned to the OEI Course Design Rubric. The shell may be used for online, hybrid, &/or face-to-face classes. The shell is available for all faculty, not just those faculty in the CCC system. The team producing this shell includes Helen Graves, Liezl Madrona, Cyrus Helf, Nicole Woolley & Barbara Illowsky. If you are having challenges importing the shell, here are some steps to take. (1) Create an empty shell in your sandbox. (2) Import the Canvas Commons course into your shell. (3) Adapt the content as you wish. (4) If all else fails, contact your college IT person or Canvas administrator.
This sample shell is produced by the California Community Colleges CVC-OEI to …
This sample shell is produced by the California Community Colleges CVC-OEI to support faculty in the use of Open Educational Resources and development of courses aligned to the OEI Course Design Rubric. The shell may be used for online, hybrid, &/or face-to-face classes. The shell is available for all faculty, not just those faculty in the CCC system. The team producing this shell includes Helen Graves, Liezl Madrona, Cyrus Helf, Nicole Woolley & Barbara Illowsky.
Published in 1991 by Wellesley-Cambridge Press, the book is a useful resource …
Published in 1991 by Wellesley-Cambridge Press, the book is a useful resource for educators and self-learners alike. It is well organized, covers single variable and multivariable calculus in depth, and is rich with applications.
In addition to the Textbook, there is also an online Instructor's Manual and a student Study Guide. Prof. Strang has also developed a related series of videos, Highlights of Calculus, on the basic ideas of calculus.
Calculus is the mathematics of CHANGE and almost everything in our world …
Calculus is the mathematics of CHANGE and almost everything in our world is changing. In this course, you will investigate limits and how they are used to calculate rate of change at a point, define the continuity of a function and how they are used to define derivatives. Definite and indefinite integrals and their applications are covered, including improper integrals. Late in the course, you will find Calculus with parametric equations and polar coordinates, sequences and series, and vectors.
A collection of worksheets I wrote for my Calculus 2 class. I …
A collection of worksheets I wrote for my Calculus 2 class. I tried to motivate the material using differential equations, so there are some topics like Laplace Transforms that don't show up in a regular Calc 2 class. We also cover exponentials and logarithms in this class instead of Calc 1. All code is in LaTeX.
The Calculus BC AP exam is a super set of the AB …
The Calculus BC AP exam is a super set of the AB exam. It covers everything in AB as well as some of the more advanced topics in integration, sequences and function approximation. This tutorial is great practice for anyone looking to test their calculus mettle!
Calculus-Based Physics is an introductory physics textbook designed for use in the …
Calculus-Based Physics is an introductory physics textbook designed for use in the two-semester introductory physics course typically taken by science and engineering students.
This series of videos focusing on calculus covers minima, maxima, and critical …
This series of videos focusing on calculus covers minima, maxima, and critical points, rates of change, optimization, rates of change, L'Hopital's Rule, mean value theorem.
This is about as many integrals we can use before our brains …
This is about as many integrals we can use before our brains explode. Now we can sum variable quantities in three-dimensions (what is the mass of a 3-D wacky object that has variable mass)!
This text was initially written by David Guichard. The single variable material …
This text was initially written by David Guichard. The single variable material in chapters 1–9 is a modification and expansion of notes written by Neal Koblitz at the University of Washington, who generously gave permission to use, modify, and distribute his work. New material has been added, and old material has been modified, so some portions now bear little resemblance to the original.
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