261 results
Higher education calculus study guides
AP Calculus AB/BC Two page reference sheet
I print out this pdf double sided, laminate and hole punch it for every single student in my AP Calculus classes. Includes all the algebra and trig facts that kids tend to forget, plus every equation or rule they need to know for the AP test. AB and BC material is color coded so students know what they need to study.
Includes:
Pre-Calc Information:
Algebra Operations
Exponent Rules
Factoring
Logarithms
Geometric Formulas
Trig Identities
Trig Values from 0-2pi radians
AB Calculus Information:
Subjects:
Grades:
10th - 12th, Higher Education
Calculus Final Exam
This Calculus 1 Final Exam or Review is designed for College Calculus 1, and/or Dual enrollment (Dual Credit) Calculus 1. It covers Units 1 – 4 which include Limits, Derivatives, Application of the Derivative, and Integration. It is designed to assess basic knowledge of Calculus 1 and is an excellent indicator for the ability of students to do well in Calculus 2, and is classroom tested.What's Included?There are 22 Multiple Choice questions, 17 short answer, and 3 applications. The application
Grades:
11th - 12th, Higher Education
Types:
Also included in: Calculus 1 Curriculum Bundle
Circuit Training - f, f', and f'' (calculus)
Give your students engaging practice with the circuit format! This 16-question circuit asks students about increasing / decreasing, max/min, concavity and inflection points based on their analysis of the first and/or second derivatives. Progressive in nature, it includes quite a few polynomials, a trig function, an exponential function, a rational function, a square root function, an exponential function, and a few absolute value composite functions. Product rule and chain rule are needed on
Subjects:
Grades:
11th - 12th, Higher Education
AP Calculus - Units 1 thru 8 - GROWING BUNDLE of REVIEW CIRCUITS (w/ Solutions!)
This growing bundle currently contains all of my Review Circuits for Units 1-7 of AP Calculus AB/BC! Review Circuit for Unit 8 will be included this Fall!Note: This Bundle does not contain the BC-only topics of Unit 6 (Integration by Parts, Integration with Partial Fractions, and Improper Integrals), nor the BC-only topics in Unit 7 (Euler's Method and Logistic Differential Equations), nor the BC-only Units (Unit 9 and Unit 10).For product details, check out the links below!AP Calculus - Unit
Subjects:
Grades:
11th - 12th, Higher Education
Types:
PreCalculus Final Exam or Review Editable plus Task Cards
This Comprehensive PreCalculus Review or assessment is designed for the Algebra Topics of PreCalculus and AP PreCalculus. It includes four assessments and a set of 30 Task cards.What topics are included?Polynomials Rational and other algebraic functions Exponential and logarithmic functions Piecewise - defined functionsInverse FunctionsConic sectionsSystems of EquationsMatrices and Determinants Partial fractionsSequences and Series Binomial Theorem and FactorialsWhat's Included in the PDF? 4 v
Subjects:
Grades:
10th - 12th, Higher Education
Types:
Also included in: PreCalculus EOC Review and Exam Bundle
L'Hospital's Rule Indeterminate Forms Task Cards Notes QR L'Hopital
This lesson on L'Hopital's Rule Indeterminate Forms for Integrals includes Notes, Task Cards, and Graphic Organizer. Problems included the following indeterminate forms - 0/0, ∞/ ∞, ∞ minus ∞, zero ⨯ ∞, 0^0, ∞^0 and 1^ ∞. The functions included are polynomial, exponential, logarithmic, trig, and inverse trig functions. There are 36 problems. Included: Two sets of student notes, seven problems, with and without full step-by-step typed solutions giving you two options. Graphic Organizer
Subjects:
Grades:
10th - 12th, Higher Education
Also included in: Calculus Applications of Differentiation Unit Bundle
Calculus Volume of Revolution Disks, Washers, Shells Task Cards Organizer HW
With these activities for Calculus Volume of Solids of Revolution with the Disk, Washer, and Shell methods your students determine the volume of a solid of revolution by using Disk, Washer, and Cylindrical Shells methods. For some of the problems, students must graph and sketch, and for the other problems the graphs are included.The worksheet problems are typed two to a page as at this level of mathematics, as students need lots of room. The solutions work out very nicely with fractions of pi
Grades:
11th - 12th, Higher Education
Also included in: AP Calculus BC or Calculus 2 Bundle of 32 Activities
Calculus Related Rates Flip Book Foldable Organizer
Are you looking for a great organizer to help your students gain proficiency with Related Rates? This easy to make Foldable Organizer has examples, formulas, and worked out problems.What's Included?Guidelines for Solving Related Rates, the most commonly needed formulas organized for easy reference, 5 examples, including volume of cones, spheres and cylinders, a kite problem, a moving particle problem, and a changing angle problem. One example is completed and your students will complete the
Subjects:
Grades:
10th - 12th, Higher Education
Also included in: Calculus Derivatives Differentiation Units Bundle
Calculus Integration by U-Substitution 60 Task Cards and Worksheets
This versatile activity on Integration by u-substitution helps your Calculus students master the topic before moving on the Applications. Included in the Lesson: 60 Task Cards sorted by color and number in the following way: # 1 - 12 are integrals of polynomials #13 - 32 are integrals which include ex, ln x, and ax#33 - 45 are integrals of trigonometric functions#46 - 60 are advanced trigonometric integrals and integrals involving inverse trig functionsStudent response sheet with r
Subjects:
Grades:
10th - 12th, Higher Education
Also included in: Calculus Bundle of 15 Activities and Resources
AP Calculus - Unit 5 - REVIEW CIRCUIT (with Solutions!)
This circuit contains 32 problems that cover all of AP Calculus Unit 5 - Analytical Applications of the Derivative (Mean Value Theorem, Absolute Extrema, Relative Extrema, Increasing/Decreasing Intervals, Concavity, Second Derivative Test, Connecting Graphs of a Function and its Derivative, Optimization, Behavior of Graphs of Implicit Relations).To allow for greater flexibility, the circuit is provided in three forms. The first is the complete 32 problem circuit. The second is 17 questions cov
Grades:
11th - 12th, Higher Education
Types:
Calculus Exam Review, Both Semesters EDITABLE | BUNDLE
This bundle contains the exam review for both first and second semesters. Editable versions are included so you can customize them to fit your needs! Microsoft Word and Equation Editor (usually included with Word) are required in order to edit the files.Note that these are designed for my non-AP Calculus class. However, if you teach AP Calculus and you are looking to give your students some extra practice, these are great resources.Topics Covered in First Semester (57 problems):limits from graph
Grades:
11th - 12th, Higher Education
Types:
Derivatives Formulas Flip Book Foldable
This Calculus Derivatives Formulas Flip Book is perfect for all Calculus students and includes all 24 derivative formulas that students must learn to succeed in Calculus, plus some hints and examples. What's Included?Two versions of the flip book are included, one with the formulas typed in and the other for the students to fill in themselves.Illustrated directions. This is easy to make and a paper saver - no glue, no mess. Print one page double-sided, make two cuts, fold, staple Mix and matc
Grades:
11th - 12th, Higher Education
Also included in: Calculus Derivatives Differentiation Units Bundle
Techniques of Integration Unit Review and Test for Calculus BC and Calculus 2
This end of unit review and test for Techniques of Integration is designed AP Calculus BC and College Calculus 2 classes. Questions include U–substitutionTrigonometric IntegralsIntegrations by PartsTrig Sub, Partial FractionsIntegration by TablesL’Hopital’s RuleImproper Integrals. You can also use the test as a practice or second review or just for extra problems to do as warm- ups. Full solutions to both the Review and Test are given. Please note, the solutions are not posted on the web anywh
Subjects:
Grades:
10th - 12th, Higher Education
Types:
Also included in: Calculus BC Calculus 2 Advanced Techniques of Integration Bundle
Techniques of Integration End of Unit Activities w Full Solutions Calculus BC
This end of unit review is designed for the unit on Techniques of Integration found in AP Calculus BC and Calculus 2. The task cards include integrations techniques such as: U–substitutionTrigonometric IntegralsIntegrations by PartsTrig Sub Partial FractionsIntegration by Tables L’Hopital’s RuleImproper Integrals and their convergence.Included2 sets of 12 Task Cards, one in color and the other in easy print black and whiteFull Typed Solutions Student response sheet with work space. Two ver
Subjects:
Grades:
11th - 12th, Higher Education
Also included in: Calculus BC Calculus 2 Advanced Techniques of Integration Bundle
Finding Limits Analytically Flip Book For Calculus
This Finding Limits Analytically Foldable Interactive Flip Book will help your students learn, understand, and apply the rules to determine limits. It is designed to build your students' skills and proficiency on this topic in an organized, easy to understand format.What's in the Flip Book?This organizer highlights the main rules of limits including limits at infinity and the 3 special limits along with the techniques used to analytically find limits. There are six completed examples and six exa
Subjects:
Grades:
10th - 12th, Higher Education
Also included in: Limits and Continuity Calculus Unit 1 Bundle
AP Calculus - Unit 6 - REVIEW CIRCUIT BUNDLE
This bundle contains both AP Calculus - Unit 6 (Part 1) - Review Circuit and AP Calculus - Unit 6 (Part 2) - Review Circuit. For product details, check out the links below!AP Calculus - Unit 6 (Part 1) - REVIEW CIRCUIT (with SOLUTIONS!)AP Calculus - Unit 6 (Part 2) - REVIEW CIRCUIT (with SOLUTIONS!)Note: This Bundle does not contain the BC-only topics of Unit 6 (Integration by Parts, Partial Fractions, Improper Integrals). Click the link for that Review Circuit!Be sure to Follow to find out f
Subjects:
Grades:
11th - 12th, Higher Education
Types:
AP Calculus - Unit 4 - REVIEW CIRCUIT (with Solutions!)
This circuit contains 26 problems that cover all of AP Calculus Unit 4 – Contextual Applications of the Derivative (Derivatives in Context, Particle Motion, Linear Approximation, Related Rates, and L’Hopital’s Rule.) Many textbooks and teachers do not teach L’Hopital’s Rule this early in Calculus, so to provide for greater flexibility, a version of the circuit without the three L’Hopital’s Rule questions is provide. The other 23 problems are the same.I give this circuit to my students at the end
Grades:
11th - 12th, Higher Education
Types:
AP Calculus - Unit 2 - REVIEW CIRCUIT (with Solutions!)
This circuit contains 31 problems that covers all of AP Calculus AB and AP Calculus BC Unit 2 – Differentiation (Definition of the Derivative and Basic Differentiation Rules.) These problems were carefully constructed to be in the spirit of the AP Exam. Included is a single circuit with all 31 problems, and two smaller circuits, with the 31 problems split into two sets. I give this circuit to my students at the end of the unit for review, but then give it to them again at the end of the year to
Grades:
11th - 12th, Higher Education
Types:
Calculus 3 Multivariable Calculus Unit 1 Exam
This Multivariable Calculus Unit 1 Exam includes 17 questions. The test should take approximately one hour. Please look through the previewTopics Include• Space Coordinates and Vectors in Space• Dot product• Cross Product• Lines and Planes in Space• Surfaces in Space• Cylindrical and Spherical CoordinatesAlso included: Full SolutionsFormula Sheets for StudentsTwo-page Summary of Quadric SurfacesPlease email me for any special requests for this course. Not everything is posted at this time, but
Subjects:
Grades:
11th - 12th, Higher Education
Types:
Calculus BC (Calculus 2) Infinite Series Test for Convergence Graphic Organizers
These Infinite Series Test for Convergence Organizer / Cheat Sheets are designed for Calculus 2 or AP Calculus BC. They are from the unit on Infinite Series and will be extremely helpful to your students in this difficult unit. Included: A one page summary handout for the tests for convergence of an infinite series. The tests are listed in the order that most courses present them. A flowchart to help students decide which test to use. Tests Include: nth Term Test Telescoping Series Te
Grades:
10th - 12th, Higher Education
Also included in: AP Calculus BC or Calculus 2 Bundle of 32 Activities
AP Calculus BC Calculus 2 Readiness Prep
Are your Calculus students ready for the second half of AP Calculus BC or College Calculus 2?Sure, they can take derivatives and limits. They can integrate and find the area under a curve, but can they do Partial Fractions? Do they remember Polar Functions, or Conics? What about Trig Equations? or Series? They will need those skills as well as those learned in Calculus AB as they enter the next course in the Calculus sequence. Sometimes I think PreCalculus should come between Calculus 1 and 2,
Grades:
11th - 12th, Higher Education
Calculus Exam Review, First Semester
Students work through 57 problems that practice the first three units of calculus: Limits, Derivatives, and Applications of Derivatives. Keep reading for a complete list of topics.An editable version is included so you can customize it to fit your needs! Microsoft Word and Equation Editor (usually included with Word) are required in order to edit the file.The complete worked solutions are included!You may also be interested in my Calculus Exam Review Second Semester. Or save 20% by buying both s
Grades:
12th, Higher Education
Types:
Also included in: Calculus Full Curriculum BUNDLE
Calculus Differential Equations Editable Assessment Unit 7
This Calculus Unit 7 Differential Equations Editable Assessment contains 15 problems. Some have multiple parts. The topics are listed below. A graphing calculator is optional and at your discretion. Because the test is editable, it is appropriate for AP Calculus AB, AP Calculus BC, and any other Calculus courses which include the Unit on Differential Equations. Most questions are free response with a few matching. You can easily edit the questions to be multiple choice if you prefer. You ca
Subjects:
Grades:
10th - 12th, Higher Education
Types:
Also included in: Calculus Differential Equations Unit Bundle
AP Calculus - Unit 1 - REVIEW CIRCUIT (with Solutions!)
This circuit contains 28 problems that covers all of AP Calculus AB and AP Calculus BC Unit 1 – Limits and Continuity. These problems were carefully constructed to be in the spirit of the AP Exam. Included is a single circuit with all 28 problems, and two smaller circuits, with the 28 problems split into two sets. I give this circuit to my students at the end of the unit for review, but then give it to them again at the end of the year to prepare for the AP Exam!This circuit also makes for a gre
Grades:
11th - 12th, Higher Education
Types:
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