MAC 1105 - College Algebra

Mathematics Department

Credit(s): 3
Contact Hours: 47
Effective Term Fall 2020 (580)

Requisites

(Prerequisite MAT 1033 with a minimum grade of C or
Appropriate score on the SPC mathematics placement test or
(Completion of required developmental education coursework and
Pre- or Co-requisite MAT 1033L)
) and
Note: MAC1105/MAT 1033L co-requisite pairing is a pilot program with limited seats available.

Course Description

Major topics include: functions and functional notation; domains and ranges of functions; graphs of functions and relations; operations on functions; inverse functions; linear, quadratic and rational functions; absolute value and radical functions; exponential and logarithmic properties, functions and equations; systems of equations and inequalities; applications such as curve fitting, modeling, optimization, exponential and logarithmic growth and decay. (Note: Credit is only given for MAC 1105 or MAC 1106.)

Learning Outcomes and Objectives

  1. The student will apply the fundamental concepts of algebra, and the characteristics and properties of relations and functions by:
    1. determining whether relations, equations, and graphs are functions.
    2. evaluating a function using function notation.
    3. determining the domain and/or range of given functions (polynomial, rational, absolute value, radical, exponential and logarithmic).
    4. performing arithmetic operations on given functions.
    5. performing the composition of given functions.
    6. simplifying and performing arithmetic operations on complex numbers, expressing the answer in standard form.
    7. evaluating and simplifying the difference quotient of given linear and quadratic functions.
    8. determining the inverse of given functions.
  2. The student will apply the properties of graphing functions and inequalities by:
    1. graphing standard linear, quadratic, cubic, rational, absolute value, radical, exponential, and logarithmic functions.
    2. using transformations of the standard graphs to linear, quadratic, cubic, rational, absolute value, radical, exponential, and logarithmic functions.
    3. graphing, given prescribed information, functions including linear (intercepts and y-intercept form), quadratic (vertex), and rational (asymptotic behavior), and piece-wise defined.
    4. graphing systems of linear and quadratic inequalities.
  3. The student will determine solution sets to a variety of equations and inequalities by:
    1. solving radical equations.
    2. solving absolute value equations.
    3. solving quadratic equations.
    4. solving higher order polynomial equations by factoring.
    5. solving polynomial and rational inequalities.
    6. solving exponential and logarithmic equations.
    7. solving systems of linear and quadratic equations in two variables using algebraic techniques.
  4. The student will apply problem-solving strategies by:
    1. solving application problems that require the use of linear equations and inequalities.
    2. solving application problems that require the use of quadratic equations.
    3. solving application problems that require the use of exponential equations (exponential growth and decay).
    4. solving application problems that require the use of systems of linear equations and inequalities.

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.

History of Changes

Revised 6/30/83 C & I 11/25/97; DBT 12/15/97, Revised 8/84 Effective Session 19981. SCN change 1/17/86 Effective Session 20001CD/Online Effective Session 19871 C&I 11/13/01, BT 12/18/01, DBT 5/23/91 Effective 20021. Effective Session 19911 C&I 4/13/04, BOT 5/21/04, 3 YR C&I Review 8/94 Effective 20041. DBT 11/21/95 C&I 11/13/07, BOT 12/17/07, Effective Session 19953. Effective 20072(0390). C&I 4/16/96, Effective Session 19961. C&I Approval: 11/13/2007, BOT Approval: 12/17/2007, Effective Term: Spring 2008 (390). C&I Approval: 04/24/2015, BOT Approval: 06/16/2015, Effective Term: Spring 2016 (510). C&I Approval: 02/14/2019, BOT Approval: 03/19/2019, Effective Term: Fall 2019 (565).
C&I Approval: , BOT Approval: , Effective Term: Fall 2020 (580)

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