#
Calculus ABCs for MA131 (Calculus I)

### * Revised 23 October 2002 *

### Test Content:

- Algebra (35%):
- Simplify an expression or solve an equation using basic algebra
(may involve manipulating polynomials, radicals, or quotients of these,
and/or simple factoring)
- Solve an inequality (possibly involving absolute values)
- Find the equation of a given line (in slope-intercept or point-slope form)
- Factor a quadratic polynomial or find its roots (real roots)

- Trigonometry (25%):
- Evaluate sin, cos, and tan at integer multiples of pi/6 and pi/4
- Use these trig function values to find sides of triangles
- Use sides of triangles to find values of trig functions
- State or use the trig identity sin
^{2}(x) + cos^{2}(x) = 1
or the expressions for sec(x), csc(x), and cot(x) in terms of cos(x), sin(x),
and tan(x)
- Sketch a graph of sin(x), cos(x), or tan(x)
(with minima, maxima, intercepts, and asymptotes labeled)

- Exponents and Logarithms (20%):
- Simplify an expression
using basic properties of exponents (rational) and logarithms (base 10)
- Solve an equation
using basic properties of exponents (rational) and logarithms (base 10)

- Geometry (20%):
- Graph a line, including its slope and intercept
- Graph a quadratic polynomial, including its vertex and intercept(s)
- Find the area and perimeter of rectangles, triangles, circles,
and sectors of circles
- Find the volume of rectangular boxes, spheres, and right circular
cylinders

Notes:
- Each test will consist of twenty questions, to be graded
right/wrong (for details, see the
Instructions for Grading).
- All questions count equally, so you must get at least 18
out of 20 answers completely correct to pass the test.
- Problems involving formulas may require you to either
*state*
or *use* the formula.
- In addition to the traditional variables x and y, different symbols
for variables (for example, s, t, w, theta, ...) will be used.

### Resources and Links:

Maintained by Scott R. Fulton

Last modified:
Thu May 25 14:25:42 EDT 2006