This is a rigorous, open, and equitable Calculus I class. It follows the OpenStax Calculus I book and uses the MyOpenMath course created by Larry Green and the ZTC grant as homework and extra resources. As well as lecture notes and worksheets created in Microsoft Word.

The structure of the course is that it follows a flipped class model, where students are required to watch lecture video created off of the lecture notes. Then students work on sectional exercises embedded in Canvas from MyOpenMath and work by themselves on the hard worksheet before the last day of the class during the week. On that day of class students will have the opportunity to work in groups on the worksheet problems.

They will be motivated to work on the problems in their groups because they will then teach the professor their random problem received as well as their group mates have points associated with their group mates work. The way they do this is through a program called GoReact that is embedded in Canvas. The main thing about this program is that students can easily share a recorded video of them teaching the math to the professor and the professor in turn can give video feedback telling the student how much they rock or letting them know what went wrong. These Teach Me Video are the foundation of the course and are the only thing the professor grades for the week unless there is a test. They are fun for both the instructor and students and increase the teacher student relationship as well as the student to student relationship. It is also easy to bump the Teach Me Videos up to make students who didn't fully understand the problem by making them redo the video to get some points back.

This textbook covers multivariable Calculus. There are chapters on vectors and geometry in 2 and 3 dimensions, partial derivatives, and multivariable integrals.

Problem book available.

This introductory calculus course covers differentiation and integration of functions of one variable, with applications.

This Project has been completed as part of a standard 10 weeks Calculus 3 asynhronous online course with optional WebEx office hours during Summer 2022 semester at MassBay Community College, Wellesley Hills, MA. 

This course is an introduction to the calculus of functions of several variables. It begins with studying the basic objects of multidimensional geometry: vectors and vector operations, lines, planes, cylinders, quadric surfaces, and various coordinate systems. It continues with the elementary differential geometry of vector functions and space curves. After this, it extends the basic tools of differential calculus - limits, continuity, derivatives, linearization, and optimization - to multidimensional problems. The course will conclude with a study of integration in higher dimensions, culminating in a multidimensional version of the substitution rule.

This course begins with a review of algebra specifically designed to help and prepare the student for the study of calculus, and continues with discussion of functions, graphs, limits, continuity, and derivatives. The appendix provides a large collection of reference facts, geometry, and trigonometry that will assist in solving calculus problems long after the course is over. Upon successful completion of this course, the student will be able to: calculate or estimate limits of functions given by formulas, graphs, or tables by using properties of limits and LĺÎĺ_ĺĚĺ_hopitalĺÎĺ_ĺĚĺ_s Rule; state whether a function given by a graph or formula is continuous or differentiable at a given point or on a given interval and justify the answer; calculate average and instantaneous rates of change in context, and state the meaning and units of the derivative for functions given graphically; calculate derivatives of polynomial, rational, common transcendental functions, and implicitly defined functions; apply the ideas and techniques of derivatives to solve maximum and minimum problems and related rate problems, and calculate slopes and rates for function given as parametric equations; find extreme values of modeling functions given by formulas or graphs; predict, construct, and interpret the shapes of graphs; solve equations using NewtonĺÎĺ_ĺĚĺ_s Method; find linear approximations to functions using differentials; festate in words the meanings of the solutions to applied problems, attaching the appropriate units to an answer; state which parts of a mathematical statement are assumptions, such as hypotheses, and which parts are conclusions. This free course may be completed online at any time. It has been developed through a partnership with the Washington State Board for Community and Technical Colleges; the Saylor Foundation has modified some WSBCTC materials. (Mathematics 005)

Open Source Calculus and Analysis - A comprehensive textbook introducing the main concepts from calculus and analysis

Features
- Comprehensiveness: all from calculus and analysis that is needed in first year mathematics-oriented programmes
- Mathematical rigour: formal definitions, extended theorems and proofs
- Includes differential equations
- Applicability: integrated symbolic (Mathematica or SymPy) and numerical computation (Python), review exercises, and so on
- Accessibility: final solution to all exercises, QR codes to accompanying videos,…
- Flexibility: using dedicated if-loops in the underlying Latex-code you can compile the version that suits your needs (Mathematica or Sympy, Calculus only or analysis as well, with or without differential equations,…)

This series of videos focusing on calculus covers calculating derivatives, power rule, product and quotient rules, chain rule, implicit differentiation, derivatives of common functions.

These thoroughly illustrated sheets make use of multiple representations and can be used for unit-end summaries in inquiry-based/modeling-style courses as well as for direct instruction in didactic courses.

This course analyzes the functions of a complex variable and the calculus of residues. It also covers subjects such as ordinary differential equations, partial differential equations, Bessel and Legendre functions, and the Sturm-Liouville theory.

This course covers differential, integral and vector calculus for functions of more than one variable. These mathematical tools and methods are used extensively in the physical sciences, engineering, economics and computer graphics.

This course is a brief introduction to sequences and infinite series. We begin with a discussion of power series and develop tests for convergence and non-convergence. Taylor series are introduced and lead to an analysis of power series in general. This is a 1-credit course that can be taken any time after the student has completed Calculus I. All course content created by Javad Moulai. Content added to OER Commons by Julia Greider.

Single Variable Calculus: An Introduction to Integration is a free and open textbook and is a great introduction to integration for students who have already taken courses in differential calculus. The book explains Calculus II concepts adequately, comprehensively, and concisely, and its topics are reflective of the content areas in other published Calculus textbooks. Problems in the textbook do not only test computational skills, but are also applicable and related to real-life problems and areas that students are interested in. The text gives an adequate picture of Calculus II – Integral Calculus and prepares students for other disciplines like Engineering and Physics, as well as higher-level Mathematics courses.

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 9-minute video lesson provides an introduction to L'Hopital's Rule. [Calculus playlist: Lesson 36 of 156]

A preparation for MAT 201 and the physical sciences. Students study principles, properties, and

applications of functions and their graphs. They revisit functions introduced in MAT 107 and expand

their knowledge of them. The course focuses heavily on circular trigonometric functions and introduces

conic sections. Laboratory activities place particular emphasis on the use of functions to model real

problems. Computers and/or graphing calculators are used to enhance the study of mathematics.

Prerequisites: A grade of C- or better in MAT 107 or a score of 71 or higher on the College Level Math

placement test; ENG 090 and ENG 094 (COL 090), or satisfactory placement test scores.