In this lab exercise, students examine one or more metamorphic rocks and use various approaches to estimating and calculating the pressure-temperature conditions at which the rocks equilibrated. The exercise involves hand sample description, petrography, interpretation of phase diagrams, and calculations of a phase diagram or P-T conditions from given equations.

This is a very short exercise designed to get students to understand how the Gibbs energy equation is used to calculate the location of a reaction in P-T space. I use it in-class and have students work on it in groups.

Besides calculating the location of one reactions, students also have to think a bit about the significance of volume and entropy with regard to mineral stability.

This exercise is very straightforward EXCEPT that students get the units (bars, Kbar, cc, etc.) confused.

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This example focuses on six letters to the editor. All six letters attempt to describe and compare the amount of taxes paid on two different incomes: $30,000 and $200,000. Tax rates are expressed in absolute dollars, tax per $1,000 of income, $1 of tax per income amount, and as percents of annual income. Students need to be able to organize the relevant information and convert each stated tax rate to a standard form to help make comparisons. Additionally, students need to be aware that letter writers may make their own mistakes!

This is a brief conditional probability examplediscussing probabilities like P(A | B) using breakfast and lunch as examples.

Project in which students calculate the magnitude of lunar and solar tidal forces on the earth. They calculate the solar tidal effect relative to the lunar tidal effect and the relative solar tidal effect for spring-tide conditions.

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Prior to assigning this activity in lecture, students gather information about their personal energy consumption so that they can calculate their personal carbon footprint. Specifically they need to determine the gas mileage of their vehicle, the average number of miles they drive in a month, and bring to class an electric bill and a natural gas bill from their apartment. I provide the appropriate information for students living in dorms. Their task during the class period is to assemble this information and calculate how much carbon their activities are responsible for generating. Once this portion of the assignment is complete, they investigate options for reducing their carbon emissions and the costs of those options. The pros and cons of carbon-reduction strategies form the basis for the class discussion. Lastly, students are asked to brain storm a list of potential carbon sources that are not included in this simple exercise, such as the carbon required to make the things we buy (computers, edible dinosaurs, q-tips, etc.).

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An activity where students make a geologic timeline from calculator tape.

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Notes pour le cours MAT 2522 Calcul différentiel de plusieurs variables à l’Université d’Ottawa. Nous nous pencherons principalement sur les fonctions à valeurs réelles à entrées multiples à valeurs réelles. De nombreux concepts seront discutés en utilisant le langage des vecteurs et de l’algèbre linéaire puisque c’est le cadre le plus naturel pour le calcul à plusieurs variables. Nous verrons comment une grande partie du calcul que vous avez appris dans les cours précédents se généralise en dimensions multiples. Cela nous permettra d’explorer des mathématiques nouvelles et intéressantes, comme l’intégration sur des surfaces et des régions tridimensionnelles. Traduction des notes du cours MAT 2122 Multivariable Calculus.

Le contenu de ce manuel couvre la grande majorité des sujets présentés dans les cours de calcul différentiel et intégral pour les étudiants en sciences et génie. Les seuls préalables sont les mathématiques normalement enseignées au secondaire en Ontario. Ce manuel peut être utilisé pour trois des variantes des cours de calcul différentiel et intégral que nous retrouvons dans la majorité des universités en Ontario : Calcul différentiel et intégral pour les étudiants en génie, Calcul différentiel et intégral pour les étudiants en sciences de la vie et Calcul différentiel et intégral pour les étudiants en administration.

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.

This Study Guide has evolved from the Calculus 1 course, which the author taught in 2015-2019 at Middlesex Community College and MassBay Community College.

This series of videos focusing on calculus covers sample questions from the A.P, Calculus AB and AC exams (both multiple choice and free answer).

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 two-semester introductory physics course typically taken by science and engineering students.

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.

A single definite integral can be used to find the area under a curve. with double integrals, we can start thinking about the volume under a surface!

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)!

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.

This site provides lectures and guided lecture notes for students for a second-semester calculus course.

This is the curriculum for a asynhronous Calculus III course implemented for an eight-week semester and based on courses, which the author taught in 2016-2021 at Middlesex Community College and MassBay Community College.