# Guidelines for Taking Pre-Calculus Courses

These guidelines are intended to help students should they
decide to take a pre-calculus

course at another college other than NJIT. The skills listed below are those
that are

covered in the respective NJIT courses.

Students may take pre-calculus courses in lieu of Math
098/099 or Math 106/108 at other

colleges provided that the course content approximates NJIT course criteria.**
It must be
noted that courses must not be calculator-based. Students must be able to
competently
perform computations associated with the skills listed below without the aid of
a
calculator**. Should a student earn a C or better in an equivalent course,
NJIT will accept

the credit and allow the student to move to the next level of mathematics.

A course is equivalent to NJIT Math 099, “Introduction to
College Math A” or 098,

“Introduction to College Math B” if the content is as follows:

1. Find the least common denominator for arithmetic and
algebraic fractions.

2. Combine and simplify arithmetic and algebraic fractions

3. Solve a system of two linear equations in two unknowns

4. Solve quadratic equations by factoring, and by using the quadratic formula

5. Solve a system of two equations in two unknowns when one of the unknowns is
linear

and the other is quadratic.

6. Sketch the graphs of straight lines and parabolas when given their equations.

7. Expand and simplify the products of binomials containing radicals and/or
algebraic

expressions with fractional exponents.

8. Expand and simplify the squares of binomials containing radicals and/or
algebraic

expressions

9. Put an equation containing one linear variable and one quadratic variable
without any

product terms into the standard equation of a parabola using the technique of
“completing

the square”

10. Find the equation of a straight line determined by two given points, or one
point and

the line’s slope.

11. Find and simplify an expression for the distance between two given points in
a plane.

12. Sketch and find the area of rectangles and triangles when given the
coordinates of

their vertices.

13. Simplify complex radical expressions. .

A course is equivalent to NJIT Math 106, “University
Mathematics I A” or 108

“University Mathematics IB” if the content is a follows:

**Note: These courses must not be calculator based, in
that students must be able to
competently perform computations associated with the skills listed below without
the aid
of a calculator.**

1. Solve systems of two equations in two unknowns.

2. Solve systems of three equations in three unknowns when all variables are
linear.

3. Solve systems of three equations in three unknowns when two variables are
linear and

the other is quadratic.

4. Polynomial division

5. Factoring Cubic Equations when one root is given using the Root Factor
Theorem

6. Use the basic rules of logarithms to simplify expressions containing
logarithms and

exponentials.

7. Solving Quadratic Inequalities in one variable, using the technique of
“Completing

the Square

8. Sketch the graphs of Parabolas given a general equation with one variable
linear and

the other quadratic.

9. Working with: The Point Slope Formula of a Line, the Two Point Formula of a
line,

and the Intercept Formula of a Line.

10. Simplifying complex algebraic radical expressions, and algebraic expressions
with

fractional and negative exponents.

11. Right triangle trigonometry, and working the Pythagorean Trigonometric
Identities.

12. Solving equations containing the square roots of algebraic expressions.

13. Squaring and simplifying binomials containing trigonometric and or algebraic

expressions.

14. Radian measure, working with formulas for the Arc Length on a Circle ,
Angular

Velocity of a rotating wheel, and the Linear Velocity of a point on the rim of a
rotating

wheel.