# Resources

** Standards:** Listed below are standards that will be assessed on the exam.

** Retake Exam:** Wednesday, 5/25, 3:30 - 4:30 PM.

## Resources for the Calculus Entrance Exam

**Standards: Listed below are standards that will be assessed on the exam. All standards should be accomplished without a calculator.**

- Be able to perform arithmetic operations on fractions.
- Be able to simplify a complex fraction.
- Be able to apply laws of exponents, including negative and zero exponents.
- Be able to multiply polynomials.
- Be able to simplify radicals and perform arithmetic operations on radical expressions.
- Be able to solve a linear equation.
- Be able to solve a quadratic equation.
- Be able to solve a root equation and check for extraneous solutions.
- Be able to solve an absolute value equation.
- Be able to solve an exponential equation.
- Be able to solve a logarithmic equation and check for extraneous solutions.
- Be able to solve a trigonometric equation on a given interval.
- Be able to solve for a variable given a rational equation.
- Be able to write an equation of a line given the appropriate information.
- Be able to write an equation of a perpendicular line given the appropriate information.
- Be able to factor a difference of squares.
- Be able to factor any quadratic equation whether a is equal or not equal to 1.
- Be able to simplify a rational expression.
- Be able to find area of simple 2D shapes.
- Be able to find the inverse of a function.
- Be able to compose a function and evaluate a composition.
- Be able to evaluate exact values of the unit circle.
- Be able to define the reciprocal trigonometric functions.
- Be able to determine the intervals where a function increases and/or decreases tabularly and graphically.
- Be able to find the average rate of change of a function over a given interval.
- Be able to find the end behavior of a polynomial or rational function.
- Be able to graph a basic polynomial, exponential, logarithmic, or power function.
- Be able to graph any of the functions listed in #27 via transformations and translations.
- Be able to graph a piecewise function.
- Be able to graph a rational function.

## Resources to Help You Study

**http://patrickjmt.com/**

Great instructional videos on how to solve the problems and why you solve them using specific methods.

**https://www.khanacademy.org/**

Website for videos that not only teach you how to solve the problem, but also provide problems to solve and measure growth. Use the following info to log in and utilize.

- Sign up at khanacademy.org (or log in with existing account)
- Visit khanacademy.org/coaches
- In the “Add a coach” field, enter the class code XRRTFN
- Start using, and Mr. Lakin will be able to monitor progress.

**Unit Circle Practice 1**

Use this website to grow your understanding of the unit circle layout.

**Unit Circle Practice 2**

Use this website to grow your application of the unit circle to trigonometric functions in radians or degrees. A reasonable start-up is shown below.