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Old Dominion University
Introduction to Calculus
This heady calculus text covers the subjects of differential and integral calculus with rigorous detail, culminating in a chapter of physics and engineering applications. A particular emphasis on classic proof meshes with modern graphs,...
Curated OER
Math Handbook: Calculus
If only there was a reference that listed all the formulas covered in calculus. Luckily, there is. This comprehensive 197-page handbook provides formulas and explanations for all topics in AP Calculus or in a standard college calculus...
Whitman College
Calculus - Early Transcendentals
This textbook takes the learner from the basic definition of slope through derivatives, integrals, and vector multivariable calculus. Each section is composed primarily of examples, with theoretical introductions and explanations in...
Whitman College
Calculus
Everything you wanted to know about calculus—and more! The resource is a complete Calculus textbook with explanations, examples, and practice problems.
Curated OER
Study Guide for the Advanced Placement Calculus AB Examination
Is this going to be on the test? A calculus study guide provides an organized list of important topics and a few examples with answers. The topics include elementary functions, limits, differential calculus, and...
Curated OER
Pre-Calculus Review Sheet
Pre-Calculus has some detailed formulas involved and here is a great resource that lumps then all together for you. Broken up into rectangular, polar, and parametric sections, the conics all include formulas and graphs.
Chapman University
Fundamental Theorems of Mathematics
There are four fundamental theorems of mathematics: arithmetic, algebra, calculus, and linear algebra listed here. Each one is described on this poster or handout. The challenge for a student of math is to figure out why they are...
Curated OER
The Second Fundamental Theorem of Calculus
Students investigate the fundamental theorem of calculus. In this calculus lesson, students derive the fundamental theorem of calculus. They differentiate between the first and second theorem.
Curated OER
AP Calculus Exam Prep
Pupils practice sample questions from the AP Calculus Exam. They solve calculus problems involving bounded regions, integration, derivatives, and limits. They then answer free response and multiple choice questions on the above mentioned...
Curated OER
The First Fundamental Theorem of Calculus
Solve problems using the fundamental theorem. In this calculus lesson, students solve problems using theorems and proving theorems. They derive the fundamental theorem as they study it.
Curated OER
The Fundamental Theorem of Calculus and Properties of the Definite Integral
Learners discuss the importance of fundamental theorems in math. In this calculus instructional activity, students define the fundamental theorem of calculus and discuss why it is so important they understand it. They work problems to...
Curated OER
Calculus Inverse Derivative
Students solve equations using a given derivative. In this calculus lesson, students identify the rise of fall of each function. They use the calculator to find the derivative.
Curated OER
Introduction to Calculus
Twelfth graders discuss attitude necessary to be successful in calculus. In this calculus lesson, 12th graders review famous quotes about success to help them get motivated to learn and be successful in the classroom. This assignment...
Curated OER
The Fundamental Theorem of Calculus and Area Under the Curve
Twelfth graders review the fundamental theorem of calculus and solve for the area under the curve. In this calculus lesson, 12th graders differentiate between the area under the curve and the definite integral as it related to the...
Project Maths
Introduction to Calculus
Don't let your class's heart rates rise as you introduce them to differentiation ... an inquiry-based lesson helps them keep it in check! The second lesson in a three-part series asks learners to analyze the rate of change of different...
Curated OER
Calculus at the Battle of Trafalgar
Students read an article on how calculus is used in the real world. In this calculus lesson, students draw a correlation between the Battle of Trafalgar and calculus. The purpose of this article is the show everyday uses for calculus in...
Curated OER
The Calculus Whiz Who Loved Candy
High schoolers develop an equation for finding the volume of a commonly known piece of candy (M&M, Hershey's Kiss, Tootsie Roll Pop, Life Saver, etc.) by using calculus.
Curated OER
Applied Fundamental Theorem of Calculus
Students apply the Fundamental Theorem of Calculus. In this calculus lesson, students identify the graphical connections between functions and accumulation functions. They use a TI to represent the functions.
Curated OER
Getting a Little "Lift"out of Calculus
Students, after entering the given conditions into FoilSim, apply calculus techniques to verify predictions.
Flipped Math
Calculus AB/BC Unit 5 Review: Analytical Applications of Differentiation
Time to put it all together in one sheet—well five. Pupils review all the topics presented in the resources for Analytical Applications of Differentiation. The five pages summarize the concepts with explanations and examples.
Curated OER
Disc/Washer Method
Students calculate the volume of solids. In this calculus lesson, students apply the Disk and Washer Method to solve for the volume of three dimensional objects. They calculate the volume caused by rotation that create...
Curated OER
Integration by Substitution
Looking for help in introducing integration by substitution to your calculus students? Here is a lesson that walks a learner through a review of the change rule, and then by starting with more recognizable derivatives, it helps...
Curated OER
NEXT GENERATION SPACECRAFT-Orion
Learners investigate the volume of a solid. In this calculus lesson, students use integration to find the volume of a solid generated by a region, the Orion crew module.
Curated OER
One Revolution for Robot
Students calculate the revolution and circumference of circles. In this calculus lesson plan, students derive the formulas for their given shape. They use the d=rt to calculate the distance and rate of travel.
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