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Directions: This form will help you create a sample calculus exam which you may print out and work on. A version with solutions will also be created. In order to create a reasonable exam, you will need to pick appropriate parameters and then hit the submit button on the bottom of the form. |
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| What is the maximum difficulty that you
would like your questions to have? |
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| Would you like your test to allow repeated types of questions? | |
| Would you like your test to allow the use of a calculator? | |
| Which types of functions should the test include? | |
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Indicate the topics that you would like your test to cover. |
Definition of function, domains Compositions and translations Types of functions (catalogue) Mathematical Modeling Basic graphs, lines, circles and parabolas Basic trigonometry Introduction to limits (intuitive approach) Epsilon and delta definition of limits Computing limits Continuity Difference quotients and limits of difference quotients Definition of derivative, differentiability Basic differentiation rules Chain rule Derivatives of trigonometric functions Derivative as a rate of change Implicit differentiation Related rates Higher derivatives Linearization Newton's Method Definition of maximum and minimum, critical numbers Monotonicity and concavity The mean value theorem First and second derivative tests Limits involving infinity Asymptotes Curve Sketching Applied Extremal Problems Economic Applications of the Derivative Antiderivatives Sums and Summation Notation Areas via Sums Definition of the Definite Integral Fundamental Theorem of Calculus (Part I - Evaluating a definite integral using an antiderivative) Fundamental Theorem of Calculus (Part II - The derivative of the integral from a to x of f(t) dt is f(x).) Indefinite Integral Computations Average Value and Properties of Integrals Indefinite Integrals via Substitution Definite Integrals via Substitution Numerical Integration Areas Between Curves TBA TBA TBA TBA TBA TBA TBA TBA |
| What date would you like to have printed on your test? | |
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Click the button below when you are ready to create your exam. | |