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Part 1 of the Calculus Screening Test and Part 1 of the Pre-Calculus Algebra (MA 105) final exam cover the same functions and graphs topics. Part 2 of the Calculus Screening test and Part 1 of the Pre-Calculus Trigonometry final exam cover the same trigonometry topics. All are in multiple-choice format. Additional information on each appears below.

Calculus Screening Tests: Students are advised to take both parts of the Calculus Screening Test only if they have had a full course in pre-calculus mathematics including functions, graphs, and trigonometry. Students who have had a pre-calculus course without trigonometry should take only Part 1.

Calculus Screening Test, Part 1: The purpose of this test is to screen out those individuals who are NOT prepared to take Pre-Calculus Trigonometry (MA 106), Survey of Calculus (MA 109), and Calculus I (MA 125). Pre-Calculus Trigonometry and Calculus I are intended for those interested in mathematics and science and for technical majors. Survey of Calculus is intended for business majors. Part 1 consists of 25 questions. The passing score is 17/25.

A student with a "C" or better in a college Pre-Calculus Algebra need not take this test to enroll in MA 106; a student with a "D" or better in a college Pre-Calculus Algebra course need not take this test to enroll in MA 109.

Part 1 of MA 105 Final Exam: This section of the MA 105 final exam is similar to, but shorter than, the Calculus Screening Test, Part 1; it has 20 questions instead of 25. It does not serve the purpose of a screening test.

Calculus Screening Test, Part 2: The purpose of this test is to screen out those NOT prepared to take Calculus I (MA 125). Part 2 consists of 20 questions; the passing score is 16/20. A student with a "C" or better in a Pre-Calculus Trigonometry course need not take this test to enroll in MA 125.

Part 1 of the MA 106 Final Exam: This section of the MA 106 final exam is similar to, and including the same number of questions as, the Calculus Screening Test, Part 2. It does not serve the purpose of a screening test.

TOPICS: Part 1 of Calculus Screening Test and Part 1 of MA 105 Final Exam

1. Analytical Geometry.

   1. Distance formula between two points in the plane.
   2. Midpoint formula.
   3. Slope of the line through two points.
2. Line and slope.

   1. Recognize the equation of a line.
   2. Be able to find the equation of a line given two points or a point and the slope.
   3. Know the meaning of slope in relation to the graph of a line.
   4. Find the point of intersection of two lines (algebraically).
   5. Find the x-intercept and y-intercept of a line from the equation of the line.
   6. Be able to sketch the graph of a line given the equation.
3. Quadratic functions and equations; parabolas.

   1. Recognize the graph of a quadratic function y=ax²+bx+c as a parabola.
   2. Know the relation of the graph and its x-intercepts to the solutions of ax²+bx+c=0.
   3. Be able to find the solution of quadratic inequalities from the graph.
   4. Be able to tell the orientation of the graph from its equation.
   5. Find the vertex of the parabola from the equation.
   6. Find the line of symmetry of the parabola from the equation.
   7. Be able to sketch the graph of a quadratic function.
   8. Relate two or more graphs to simultaneous solutions of equations.
4. Other functions and equations.

   1. Recognize the graphs of polynomial functions of low degree ( £ 4).
   2. Recognize the graphs of rational functions of low degree ( £ 2).
   3. Recognize the graphs of absolute value, logarithmic, and exponential functions.
   4. Recognize shifts of the graphs of functions following from from changes to the equation.

5. Function notation.

   1. Find the natural domain of y=f(x) from the formula for f(x).
   2. Evaluate and simplify functional expressions such as f(2), f([ 2/3]), f(a+h), f(g(x)), f([ 1/x]).
6. Equation solving; be able to solve:

   1. Quadratic equations by factoring and by using the quadratic formula.
   2. Logarithmic equations.
   3. Exponential equations.
   4. Polynomial equations that are, or can easily be, factored.

TOPICS: Part 2 of Calculus Screening Test and Part 1 of MA 106 Final Exam

1. Know, or be able to compute, exact values of trig functions with arguments in radians or degrees for all multiples of [( p)/6] and [(p)/4].
2. Know the definition of trig functions as side ratios of right triangles; be able to solve right triangles.
3. Know the definition of trig functions as circular functions.
4. Know signs of trig functions by quadrant, and by odd/even functions.
5. Know basic trig identities including:

   1. Pythagorean identities.
   2. Reciprocal identities.
   3. Cofunction identities.
   4. Double angle formulas for sine and cosine, all forms.
   5. Half angle formulas for sine and cosine.
   6. Addition/subtraction formulas for sine and cosine.
6. Be able to simplify and verify trig identities.
7. Graphs of trig functions.

   1. Recognize shape and form of graphs of sine, cosine, tangent, and cotangent functions.
   2. Be able to find amplitude, period, and phase shift from the equation, and know how each affects the graph.
   3. Be able to graph sine, cosine, and tangent functions from the equation.
   4. Be able to find the equation of a sine or cosine function given key points on the graph.
8. Inverse trig functions.

   1. Know domain, range, and graph of the inverse trig functions arcsine, arccosine, and arctangent.
   2. Know values of inverse trig functions which are multiples of [(p)/6] and [(p)/4].
   3. Be able to evaluate expressions using trig and inverse trig functions together, for example
      sin(cos^-1([ 4/5])).
   4. Be able to simplify expressions using trig and inverse trig functions together, for example
      sin(2tan^-1(x)).
9. Know the law of sines and the law of cosines and be able to use them to solve triangles.
10. Be able to solve simple trig equations, both in an interval and for all solutions. For example, solve cos(2x)=[( Ö3)/2] on [-p ,p].