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Exam

If you are planning to take calculus at Skidmore (immediately or eventually), please fill out the following information and take the exam below. The department will use this information and your responses on the exam solely to help place you in the course which is best for you.

Name
E-mail	Use your Skidmore email address
Phone
1	How much calculus, if any, have you studied prior to arriving at Skidmore?
	None Less than half a year Half a year A year More than a year
2	Did you take the AP Exam in Calculus? Yes No
3	If yes, which exam? AB BC Score
Part 1	If you have studied no calculus, then please take Part 1 of the exam. If you have studied calculus, please take both Parts 1 and 2. DO NOT USE TEXTBOOKS. DO NOT CONSULT WITH ANYONE, AND DO NOT USE A CALCULATOR (even if your course allowed or required you to use calculators).
4	If f(x) = x2, then f(x+3) = x+3 x2+3 x2+6x+9 don't know
5	If α is an angle in a right triangle and sin(α) = 12/13, then cos(α) = 5/13 13/12 1/13 don't know
6	Write tan2(α) sec(α) in terms of sin(α) and cos(α) sin2(α)cos(α) sin(α)cos-2(α) sin2(α)cos-3(α) don't know
7	If f(t) = 2cos( π t)+1, then f(3) = 1 3 -1 don't know
8	If x+y = 6 and 4x-3y = 10, then x is 4 -4 7 don't know
9	Simplify:   don't know
10	Simplify: don't know
11	Combine into a single fraction: don't know
12	The equation of the line through the points (2,4) and (5,13) is y = 3x + 13 y = -3x + 28 y = 3x – 2            don't know
13	The graph of the equation x2 + 4y2 = 4 represents a circle an ellipse a hyperbola don't know
14	Solve for x :  x2 = x + 6 0 or -6 3 -2 or 3 don't know
15	If y = log2(1/16), then y = -4 21/16 4 don't know
16	If f(t) = Ce3t and f(0) = 100, then C is 100 0 any real value don't know
17	Solve for x :   e4x– 7 = 0 (ln means log with base e ) 7/4 ln(7)/4 ln(7/4) don't know
Part 2	If you have studied no calculus, do not continue. Go to the bottom and press the submit button.
18	Evaluate: 2/3 1/2 does not exist don't know
19	Evaluate: x4 + x3 +x2 + x + C 12x2 + 6x + 2 24x + 6 don't know
20	Evaluate: 3e3x+4 e3x+4 (3x + 4) e3x+3 don't know
21	Evaluate: 2x sec2(x2 + 1) sec2(x2 + 1) + 2x tan(x2 + 1) sec2(x2 + 1) don't know
22	The equation of the line tangent to the curve y = 2x3 at the point where x = 1 is y – 1 = 6(x – 1) y = 6x – 4            y – 2 = 6x2(x – 1)            don't know
23	The minimum value of y = x4– 2x2 + 5 is y = 4 y = 40/9 y = 5 don’t know
24	Find the area in the first quadrant below the curve y = x2 + 1 to the left of the line x = 1. 2 4/3 don't know
25	Evaluate ∫ x cos(x2 + 1)dx sin(x2 + 1) + C don't know
26	Evaluate:    (ln means log with base e ) ln(6) – 1 1 - ln(6) don't know
27	Evaluate: 3 – 2e3 don't know
28	The infinite series is absolutely convergent conditionally convergent divergent don't know
29	The radius of convergence of the power series is 1/10 ∞ 10 don't know
30	The first three terms of the Taylor series about 0 (i.e. Maclaurin series) of are don't know
Do you have any comments?
You have completed the exam. If you are ready to submit it, press the submit button, below. This will send the exam to the Mathematics & Computer Science Department.

When done, be sure to scroll down to the "submit" button and press it. This will send the page as a form to the Math & CS Department.

If possible, use your Skidmore email address when filling in the E-mail box on the left. If you are an entering first-year student, you should have received (or will shortly receive) a Skidmore email account.

If you have a problem (e.g. accidentally submitted before completing exam), send an email to Kim Newsom and explain the issue.

Note: If you currently use a non-Skidmore email account, be sure to check the Skidmore account periodically. Quite often, important messages from the Registrar, Dean of Student Affairs, the Business Office and other offices are sent to students via their Skidmore email accounts.