## Calculus Placement Exam (Level 2)

**The Calculus Placement Exam is open****.** It is offered throughout the year.

Any student that plans to take **MATH 170**, Applications of Mathematics to Biology or **MATH 201**, Calculus with Analytic Geometry I Imust satisfy **one **of the following prerequisites:

- Passed MATH 160, Analysis of Functions (Pre-calculus) with a C or better,
**OR** - Transferred a Pre-calculus,
**OR** - Passed the Calculus Placement Exam with a 60%

#### If you do not know what Math course you need to take, please consult your major's curriculum guide.

#### For example: the Science Handbook (which can be found on the Science webpage) contains all of the Science curriculum guides. If you are not a Science major, please visit your department webpage for your major and the courses that you are required to take in order to graduate. Please note that MATH 095 is not a required course and if you take it, it will not count as credits toward graduation.

Your **username** will be your Marywood email (without the @m.marywood.edu)

example: jqpublic (if your Marywood email is jqpublic@m.marywood.edu)

Your **password** is your Marywood ID # (including a zero at the beginning of the ID #)

example: 0123456

#### You may choose to take the exam at any time. Once you login, you only have one attempt. Once you start the exam, you must finish it within 90 minutes. You are expected to abide by all university rules and code of conduct for exams, complete the exam independently, without the use of a calculator, and without the use of google,etc. This is for your own benefit. By following these guidelines, both you and the Math department will have a better feel for how prepared you are for the class. Most importantly, you will be able to determine if you really know the material.

When you take the exam, please note that the exam is divided into several pages (5 or 6 problems on each page). When you finish each page, simply **go on to the next page (by clicking on the page number). Do not click on the GRADE TEST button until you are ready to submit your exam and receive your final score. ** However, be sure to click on GRADE TEST button before your time expires (within 90 minutes) or you may not receive full credit for your work. You will receive your results (60/100 = 60%), please be sure to remember your grade.

You can find the placement exam by connecting to the Marywood WebWork server at: http://math2.marywood.edu/webwork2/Placement_Exam/

After you login, click on "**Take Math_170_Math_201_test**" (which is the Calculus exam).

**You can take this exam now and if you do not pass you can take MATH 160 - Analysis of Functions (Pre-Calculus). **

The placement exam may include, but is not limited to, the following topics:

- Basic arithmetic of integers, fractions, and real numbers in general, absolute values, interval notations;
- Rules of exponents, and Scientific Notation;
- Proportions, ratios, and word problems involving ratios and basic algebra;
- Basic geometry, including area and volume of simple shapes;
- The coordinate system (xy-plane), distance between points;
- Equations of lines and circles, and related concepts such as slope, x- and y-intercepts, center and radius;
- Intersection of lines;
- Solving linear equations and inequalities, including ones with absolute values;
- Polynomial operations and factoring;
- Solving quadratic equations through factoring or using the quadratic formula;
- Solving linear systems of equations (two by two);
- Functions and related concepts, such as function composition, inverse functions and graphing;
- Identifying graphs of common functions;
- Identifying horizontally/vertically translated function graphs;
- Logarithmic expressions and rules of logarithms;
- Exponential functions and logarithmic functions, including the natural exponential function and the natural logarithm function;
- Solving simple equations involving exponential and logarithmic functions;
- Trigonometric function definitions, trig. function values at special angles, the unit circle;
- Identifying trig. function graphs and their horizontal/vertical translations;
- Using trig. function concepts and identities to find trig. function values.

You can download the sample problems and the answers for practice. Please note that the sample problems are not intended to be exhaustive.