Complete course available at MyOpenMath. Course ID:142672
.   This work was supported in part by a Wright College grant to create ancillary materials to augment OER materials.

Introduction to the theory and techniques of differential and integral calculus of elementary functions with emphasis on applications in business and finance, taught both online and in-person in Fall 2022 at Yavapai College. Note: Computer use and graphing calculator required (TI-83/84 recommended).This course makes use of an embedded OER textbook, but also uses Lumen OHM homework assignments; these require a subscription to Lumen, which in this instance was provided by the institution. In cases where that is not possible, the homework assignments will need to be replaced, or students will have to pay a fee to access the homework. Contact Lumen to find out more about student access to its homework platforms.

I intend this book to be, firstly, a introduction to calculus based on the hyperreal number system. In other words, I will use infinitesimal and infinite numbers freely. Just as most beginning calculus books provide no logical justification for the real number system, I will provide none for the hyperreals. The reader interested in questions of foundations should consult books such as Abraham Robinson's Non-standard Analysis or Robert Goldblatt's Lectures on the Hyperreals. Secondly, I have aimed the text primarily at readers who already have some familiarity with calculus. Although the book does not explicitly assume any prerequisites beyond basic algebra and trigonometry, in practice the pace is too fast for most of those without some acquaintance with the basic notions of calculus.

This course covers Limits and Continuity, Derivatives: definition and basic rules; Derivatives: chain rule and other advanced topics; Applications of derivatives; Analyzing Functions; Integrals; Differential equations; and Applications of integrals.

This series of videos focusing on calculus covers indefinite integral as anti-derivative, definite integral as area under a curve, integration by parts, u-substitution, trig substitution.

This 17-minute video lesson looks at the iIntuition behind the Mean Value Theorem. [Calculus playlist: Lesson 55 of 156]

I have used OpenStax textbooks for years. These are PowerPoint files I created based on the Calculus volume 1, plus GeoGebra animations / files and conceptual examples. These PowerPoints are created for chapters 2-6. Reza Khadem, San Jacinto College, central

We all know that calculus courses such as 18.01 Single Variable Calculus and 18.02 Multivariable Calculus cover univariate and vector calculus, respectively. Modern applications such as machine learning and large-scale optimization require the next big step, "matrix calculus" and calculus on arbitrary vector spaces.
This class covers a coherent approach to matrix calculus showing techniques that allow you to think of a matrix holistically (not just as an array of scalars), generalize and compute derivatives of important matrix factorizations and many other complicated-looking operations, and understand how differentiation formulas must be reimagined in large-scale computing.

This calculus course covers differentiation and integration of functions of one variable, and concludes with a brief discussion of infinite series. Calculus is fundamental to many scientific disciplines including physics, engineering, and economics.
Course Format
This course has been designed for independent study. It includes all of the materials you will need to understand the concepts covered in this subject. The materials in this course include:

Lecture Videos with supporting written notes
Recitation Videos of problem-solving tips
Worked Examples with detailed solutions to sample problems
Problem sets with solutions
Exams with solutions
Interactive Java Applets ("Mathlets") to reinforce key concepts

Content Development
David Jerison   
Arthur Mattuck   
Haynes Miller   
Benjamin Brubaker   
Jeremy Orloff
Heidi Burgiel   
Christine Breiner   
David Jordan   
Joel Lewis
About OCW Scholar
OCW Scholar courses are designed specifically for OCW's single largest audience: independent learners. These courses are substantially more complete than typical OCW courses, and include new custom-created content as well as materials repurposed from previously published courses.

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 calculus course covers differentiation and integration of functions of one variable, and concludes with a brief discussion of infinite series. Calculus is fundamental to many scientific disciplines including physics, engineering, and economics.

These OpenStax Calculus I ancillary materials, including guided notes and questions using Edfinity, were developed as a result of a Round 17 Affordable Materials Grant.

This set of Calculus 1 Lecture Notes and Worksheets was created under a Round Thirteen Mini-Grant for Ancillary Materials Creation and Revision. These materials were created to supplement the Lyrix version of Calculus: Early Transcendentals (https://lyryx.com/calculus-early-transcendentals/).

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!

CK-12's Texas Instruments Calculus Teacher's Edition is a useful companion to a Calculus course, offering extra assignments and opportunities for students to understand course material through their graphing calculator.

This text is designed for college students who aspire to take calculus and who either need to take a course to prepare them for calculus or want to do some additional self-study. Many of the core topics of the course will be familiar to students who have completed high school. At the same time, we take a perspective on every topic that emphasizes how it is important in calculus.

CK-12's Texas Instrument Calculus Student Edition is a useful companion to a Calculus course, offering extra assignments and opportunities for students to understand course material through their graphing calculator.

เล่าถึงการพัฒนาแนวคิดทางคณิตศาสตร์ ซึ่งปัจจุบันเรียกแขนงนี้ว่า "แคลคูลัส (Calculus)" ความจำเป็นในรากฐานความรู้ที่รัดกุมกว่า ทำให้ต้องตัดบริบททางโลกแห่งความเป็นจริงทางวิทยาศาสตร์ ให้เหลือเพียงความรู้คณิตศาสตร์บริสุทธิ์ เพื่อใช้ในการพัฒนาความรู้ต่อยอดไป