Calculus Revisited is a series of videos and related resources that covers the materials normally found in freshman- and sophomore-level introductory mathematics courses. Multivariable Calculus is the second course in the series, consisting of 26 videos, 4 Study Guides, and a set of Supplementary Notes. The series was first released in 1971 as a way for people to review the essentials of calculus. It is equally valuable for students who are learning calculus for the first time.

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.

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.

This is the second of two collections of lecture notes used to teach single-variable calculus at San Jacinto College (Houston TX). The notes are formatted as presentation slides and were typeset using Beamer (LaTeX). All the main topics of a second semester course in calculus are addressed. In this sense, the notes are self-contained. However, if one deems it necessary to supplement the notes with a full textbook, I recommend one or more of these open-source textbooks:Hoffman, Dale, Contemporary Calculus. 2013Strang, Gilbert and Edwin Herman, Calculus Volume 2. 2016Guichard, David, Community Calculus. 2022

This course will cover families of trigonometric functions, their inverses, properties, graphs, and applications. Additionally we will study trigonometric equations and identities, the laws of sines and cosines, polar coordinates and graphs, parametric equations and elementary vector operations.Login: guest_oclPassword: ocl

The modules posted below aim to provide digital resources for students and instructors. Providing students on-demand digital, multimedia, open-access resources which can be watched repeatedly at convenient times can serve as one path to improving student success in introductory physics courses The modules have been created for each topic covered in calculus-based introductory physics courses. Each module includes:Videos reviewing the laws and concepts, and videos with step-by-step problem solving providing students with additional aid in learning the material. (i) Review Videos summarize major topics after students had encountered them in class and highlight their application to common and significant problems. This resource incorporates explanations, derivations, and demonstrations to illustrate a concept; (ii) Problem-Solving Videos present detailed solutions to multi-step questions which students might encounter when working through textbook problems or on major summative assessments. This in-depth approach was structured to guide students in improving their problem-solving skills and techniques, as well as address common mistakes. More than one hundred videos have been created for different types of learners. This is a resource for both students and instructors.Textbook-independent homework problem sets that could be implemented via LMS. The homework has a mix of multiple-choice and free-response problems aiming to develop student critical thinking. Detailed solutions to all problems are provided so that the students can compare their results with the solution, or an instructor can understand what was intended for the solution if modification of the problem is desired. This is a resource for both instructors and students. Video demonstration experiments for each topic that will allow the instructors around the State of Texas to bring physics experiments to their classrooms (instructor resource). The videos merely show the experiment taking place without any explanation of the underlying physics. This gives the instructor complete freedom to tailor the explanation to their class. A text with a brief description of the experiments is provided. 

A mixture of multiple-choice and free-response problems aimed at developing critical thinking. Detailed solutions to all problems are provided.

Problem-Solving Videos present detailed solutions to multi-step questions. These videos are structured to improve problem-solving skills.

Review Videos summarize major topics. This resource incorporates explanations, derivations, and demonstrations to illustrate a concept.