Business Calculus (MATH 148)

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.

Material Type: Assessment, Full Course, Reading, Syllabus, Textbook

Business Math: A Step-by-Step Handbook

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.

Material Type: Lecture Notes, Textbook

Author: Jean-Paul Olivier

Introductory Business Statistics

Introductory Business Statistics is designed to meet the scope and sequence requirements of the one-semester statistics course for business, economics, and related majors. Core statistical concepts and skills have been augmented with practical business examples, scenarios, and exercises. The result is a meaningful understanding of the discipline, which will serve students in their business careers and real-world experiences.

Material Type: Textbook

Authors: Alexander Holmes, Barbara Illowsky, Susan Dean, Veda Roodal Persad

Applied Calculus

Applied Calculus instructs students in the differential and integral calculus of elementary functions with an emphasis on applications to business, social and life science. Different from a traditional calculus course for engineering, science and math majors, this course does not use trigonometry, nor does it focus on mathematical proofs as an instructional method.

Material Type: Full Course, Textbook

Authors: Dale Hoffman, David Lippman, Shana Calaway

Elementary Calculus

This textbook covers calculus of a single variable, suitable for a year-long (or two-semester) course. Chapters 1-5 cover Calculus I, while Chapters 6-9 cover Calculus II. The book is designed for students who have completed courses in high-school algebra, geometry, and trigonometry. Though designed for college students, it could also be used in high schools. The traditional topics are covered, but the old idea of an infinitesimal is resurrected, owing to its usefulness (especially in the sciences).

Material Type: Textbook

Author: Michael Corral

Highlights in Calculus

Highlights of Calculus is a series of short videos that introduces the basics of calculus—how it works and why it is important. The intended audience is high school students, college students, or anyone who might need help understanding the subject.

Material Type: Full Course

Author: Gilbert Strang

Calculus: Early Transcendentals

Calculus: Early Transcendentals, originally by D. Guichard, has been redesigned by the Lyryx editorial team. Substantial portions of the content, examples, and diagrams have been redeveloped, with additional contributions provided by experienced and practicing instructors. This approachable text provides a comprehensive understanding of the necessary techniques and concepts of the typical Calculus course sequence, and is suitable for the standard Calculus I, II and III courses. To practice and develop an understanding of topics, this text offers a range of problems, from routine to challenging, with selected solutions. As this is an open text, instructors and students are encouraged to interact with the textbook through annotating, revising, and reusing to your advantage. Suggestions for contributions to this growing textbook are welcome. Lyryx develops and supports open texts, with editorial services to adapt the text for each particular course. In addition, Lyryx provides content-specific formative online assessment, a wide variety of supplements, and in-house support available 7 days/week for both students and instructors.

Material Type: Assessment, Homework/Assignment, Lecture Notes, Textbook

Author: D. Guichard

Business Calculus with Excel

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.

Material Type: Textbook

Authors: Anneke Bart, Mike May

Calculus Volume 1

Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 1 covers functions, limits, derivatives, and integration

Material Type: Textbook

Authors: Alfred K. Mulzet, Catherine Abbott, David McCune, David Smith, David Torain, Edwin “Jed” Herman, Elaine A. Terry, Erica M. Rutter, Gilbert Strang, Joseph Lakey, Joyati Debnath, Julie Levandosky, Kirsten R. Messer, Michelle Merriweather, Nicoleta Virginia Bila, Sheri J. Boyd, Valeree Falduto, William Radulovich

Calculus Volume 2

Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 2 covers integration, differential equations, sequences and series, and parametric equations and polar coordinates.

Material Type: Textbook

Authors: Alfred K. Mulzet, Catherine Abbott, David McCune, David Smith, David Torain, Edwin “Jed” Herman, Elaine A. Terry, Erica M. Rutter, Gilbert Strang, Joseph Lakey, Joyati Debnath, Julie Levandosky, Kirsten R. Messer, Michelle Merriweather, Nicoleta Virginia Bila, Sheri J. Boyd, Valeree Falduto, William Radulovich

Calculus Volume 3

Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 3 covers parametric equations and polar coordinates, vectors, functions of several variables, multiple integration, and second-order differential equations.

Material Type: Textbook

Authors: Alfred K. Mulzet, Catherine Abbott, David McCune, David Smith, David Torain, Edwin “Jed” Herman, Elaine A. Terry, Erica M. Rutter, Gilbert Strang, Joseph Lakey, Joyati Debnath, Julie Levandosky, Kirsten R. Messer, Michelle Merriweather, Nicoleta Virginia Bila, Sheri J. Boyd, Valeree Falduto, William Radulovich

Calculus

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.

Material Type: Full Course

Author: Gilbert Strang

Active Calculus 2.0

Active Calculus is different from most existing calculus texts in at least the following ways: the text is freely readable online in HTML format and is also available for in PDF; in the electronic format, graphics are in full color and there are live links to java applets; version 2.0 now contains WeBWorK exercises in each chapter, which are fully interactive in the HTML format and included in print in the PDF; the text is open source, and interested users can gain access to the original source files on GitHub; the style of the text requires students to be active learners — there are very few worked examples in the text, with there instead being 3-4 activities per section that engage students in connecting ideas, solving problems, and developing understanding of key calculus concepts; each section begins with motivating questions, a brief introduction, and a preview activity, all of which are designed to be read and completed prior to class; following the WeBWorK exercises in each section, there are several challenging problems that require students to connect key ideas and write to communicate their understanding.

Material Type: Textbook

Authors: David Austin, Matt Boelkins, Steve Schlicker

APEX Calculus

APEX Calculus is a calculus textbook written for traditional college/university calculus courses. It has the look and feel of the calculus book you likely use right now (Stewart, Thomas & Finney, etc.). The explanations of new concepts is clear, written for someone who does not yet know calculus. Each section ends with an exercise set with ample problems to practice & test skills (odd answers are in the back).

Material Type: Textbook

Authors: Brian Heinold, Dimplekumar Chalishajar, Gregory Hartman, Troy Siemers

Calculus - Surface Integrals and Stokes' Theorem: Proof of Stokes' Theorem

You know what Stokes' theorem is and how to apply it, but are craving for some real proof that it is true. Well, you've found the right tutorial!

Material Type: Lecture

Author: Salman Khan

Vector Calculus

This is a text on elementary multivariable calculus, designed for students who have completed courses in single-variable calculus. The traditional topics are covered: basic vector algebra; lines, planes and surfaces; vector-valued functions; functions of 2 or 3 variables; partial derivatives; optimization; multiple integrals; line and surface integrals.

Material Type: Activity/Lab, Homework/Assignment, Textbook

Author: Michael Corral

Active Calculus Multivariable

Active Calculus Multivariable is the continuation of Active Calculus to multivariable functions. The Active Calculus texts are different from most existing calculus texts in at least the following ways: the texts are free for download by students and instructors in .pdf format; in the electronic format, graphics are in full color and there are live html links to java applets; the texts are open source, and interested instructors can gain access to the original source files upon request; the style of the texts requires students to be active learners — there are very few worked examples in the texts, with there instead being 3-4 activities per section that engage students in connecting ideas, solving problems, and developing understanding of key calculus concepts; each section begins with motivating questions, a brief introduction, and a preview activity, all of which are designed to be read and completed prior to class; the exercises are few in number and challenging in nature.

Material Type: Textbook

Authors: David Austin, Matthew Boelkins, Steven Schlicker

Armstrong Calculus

The text is mostly an adaptation of two other excellent open- source calculus textbooks: Active Calculus by Dr. Matt Boelkins of Grand Valley State University and Drs. Gregory Hartman, Brian Heinold, Troy Siemers, Dimplekumar Chalishajar, and Jennifer Bowen of the Virginia Military Institute and Mount Saint Mary's University. Both of these texts can be found at http://aimath.org/textbooks/approved-textbooks/. The authors of this text have combined sections, examples, and exercises from the above two texts along with some of their own content to generate this text. The impetus for the creation of this text was to adopt an open-source textbook for Calculus while maintaining the typical schedule and content of the calculus sequence at our home institution.

Material Type: Textbook

Authors: Jared Schlieper,, Michael Tiemeyer

Active Calculus

Active Calculus is different from most existing calculus texts in at least the following ways: the text is free for download by students and instructors in .pdf format; in the electronic format, graphics are in full color and there are live html links to java applets; the text is open source, and interested instructors can gain access to the original source files upon request; the style of the text requires students to be active learners — there are very few worked examples in the text, with there instead being 3-4 activities per section that engage students in connecting ideas, solving problems, and developing understanding of key calculus concepts; each section begins with motivating questions, a brief introduction, and a preview activity, all of which are designed to be read and completed prior to class; the exercises are few in number and challenging in nature.

Material Type: Textbook

Authors: David Austin, Matt Boelkins, Steve Schlicker

Calculus One

Calculus is about the very large, the very small, and how things change—the surprise is that something seemingly so abstract ends up explaining the real world. This course is a first and friendly introduction to calculus, suitable for someone who has never seen the subject before, or for someone who has seen some calculus but wants to review the concepts and practice applying those concepts to solve problems. One learns calculus by doing calculus, and so this course is based around doing practice problems.

Material Type: Textbook

Authors: Bart Snapp, Chris Bolognese, David Lindberg, Jenny George, Jim Fowler's, Johann Thiel, Roman Holowinsky, Sean Corey, Steve Gubkin, Tom Evans