ST. PETERSBURG COLLEGE

APPROVED COURSE OUTLINE

MAT    1033                                  INTERMEDIATE ALGEBRA                                                3    

                                                    Prefix   Number                                           Course Title                                                           Cr.Hrs.

A.     Course Description:

Pre               Prerequisite:  MAT 0024 or appropriate score on the SPC mathematics placement test. Major topics include: factoring, algebraic fractions,
radicals and rational exponents, complex numbers, quadratic equations, rational equations, linear equations and inequalities, systems of linear equations and inequalities, introduction to functions, and applications. 47 contact hours.

B.      Major Learning Outcomes:

         1.    The student will demonstrate an understanding of properties and terminology when working with mathematical expressions.

         2.    The student will demonstrate an understanding of algorithmic processes and concepts when performing algebraic manipulations,
interpretations and computations on mathematical expressions, equations and inequalities.

C.     Course Objectives Stated in Performance Terms:

         1.    The student will demonstrate an understanding of properties and terminology when working with mathematical expressions by:

a.  using precise mathematical language.

b.  applying the order of operations agreement to simplify expressions involving integers, exponents and radicals.

c.  simplifying and performing operations with radical expressions.

d.  using functional notation to evaluate a function.

2.    The student will demonstrate an understanding of algorithmic processes and concepts when performing algebraic manipulations,
interpretations and computations on mathematical expressions, equations and inequalities by:

a.  solving literal equations which involve factoring a common factor.

b.  multiplying and dividing exponential expressions with rational exponents.

c.  factoring polynomials including the sum and difference of cubes.

d.  adding, subtracting, multiplying and dividing algebraic fractions including monomial, binomial, and trinomial denominators expressing the result in simplified form.

e.  solving radical equations involving one radical expression (square root).

f.   writing an equation in slope-intercept, standard and general form for a line which passes through two given points.

g.  writing an equation in slope-intercept, standard and general form for a line when given the slope and a point on the line.

h.  solving systems of linear equations in two variables graphically and algebraically.

i.   solving systems of linear inequalities in two variables by graphing.

j.   solving real world problems using one or two variables.

k.  solving quadratic equations by factoring, completing the square and using the quadratic formula.

l.   solving real world problems which require the use of quadratic equations.

m. graphing quadratic functions including finding the vertex, axis of symmetry and x- and y-  intercepts.

n.  solving rational equations.

o.  performing operations on complex numbers and write the answer in standard form (a + bi).

D.     Criteria Performance Standard:

In order to earn a grade of C or better, the student will achieve at the 70% level or higher on classroom measures.

           Upon successful completion of the course, the student will, with a minimum of 70% accuracy, demonstrate mastery of each of the above stated objectives through classroom measures developed by individual course instructors.

E.      Rationale:

This course was changed in compliance with the required curriculum review process that takes place for every approved course outline at St. Petersburg College every three years.  This review includes adjustments of format to be consistent with other course outlines, improvements in the course to reflect the input and expertise of the content area faculty members, improvements in wording to clarify objectives, and corrections of grammar. The two objectives that were struck are not included in the state guidelines for MAT 1033 and are not necessary content items for any math courses following MAT 1033, ie, MGF 1106, MGF 1107, and STA 2023.

This review process was completed by Betty Pate (SP/G Campus) with input from the united Mathematics faculty college-wide.