MA 110 - College Algebra

Description
MA 110 is designed primarily for students whose program does not require any mathematics above the level of College Algebra. Topics include graphing data; solving equations and inequalities; functions, combinations of functions, polynomial, rational, power, exponential and logarithmic functions; systems of equations, matrices, sequences and series. Use of current technology is incorporated.

Credit Hours: 4
Contact Hours: 4

School: School of STEM
Department: Mathematics
Discipline: MA

Major Course Revisions: General Education Review
Last Revision Date Effective: 20230222T14:23:17
Course Review & Revision Year: 2027-2028

Course Type:
General Education- Offering designed to meet the specific criteria for a GRCC Distribution Requirement. The course should be designated by the requirement it fulfills.
Course Format:
Lecture - 1:1

General Education Requirement: Mathematics
General Education Learner Outcomes (GELO):
3. Critical Thinking: Gather and synthesize relevant information, evaluate alternative perspectives, or understand inquiry as a means of creating knowledge, 7. Problem-Solving: Apply theory, calculation, or experimentation to demonstrate effective problem-solving

Course Learning Outcomes:

Discern relevant and irrelevant information when seeking the solutions to problems. (GELO 7)
Use experimentation or practice to experience and deepen understanding of scientific and mathematical theories. (GELO 7)
Simplify and perform operations on algebraic expressions.
Solve equations and inequalities using both symbolic and graphical approaches.
Translate verbal phrases and statements representing mathematical relationships into algebraic notation. (GELO 3)
Demonstrate the application of simple relationships and operations within the complex number system.
Identify, interpret and apply a variety of mathematical functions.
Use a graphing utility appropriately as an aid to problem solving.
Solve systems of equations both manually and using matrices.
Interpret data and produce an appropriate regression equation to fit data.
Work with sequences and series as functions whose domain is the set of natural numbers.
Incorporate symbolic, numeric and graphic techniques in solving application problems.
Create and/or organize data and information into meaningful patterns in order to interpret and draw inferences from it. (GELO 3)

Approved for Online Delivery?: Yes

Course Outline:
I.  Functions and Graphs

  A.  Definition of function

  B.  Function notation

  C.  Domain and range

  D.  Graphs

  E.  Composition of functions

  F.  Inverse functions

  G.  Transformations

II.  Linear and Quadratic Functions

  A.  Graphs

B. Equations and Inequalities

C. Regression

D.  Modeling

III.  Higher Degree Polynomial Functions

  A.  Operations on Polynomials

  B.  Rules of Exponents

  C.  Graphs

  D.  Equations

  E.  Real and Complex zeros

F.  Modeling

IV.  Radical Functions

  A.  Working with radicals

  B.  Rational exponents

  C.  Domain restrictions

  D.  Equations

  E.  Distance between two points

  F.  Equations of circles

  G.  Graphs

  H.  Modeling

V.  Rational Functions

  A.  Domain restrictions

  B.  Graphs

  C.  Algebraic manipulation and simplification

  D.  Equations

  E.  Modeling

VI.  Exponential and Logarithmic Functions

  A.  Definitions and graphs

  B.  Properties of logarithms

  C.  Equations

  D.  Modeling

VII.  Matrices and Systems of Equations

  A.  Solving 2X2 linear systems

  B.  Solving 3X3 linear systems

VIII.  Sequences and Series

  A.  General

  B.  Arithmetic

  C.  Geometric

Mandatory CLO Competency Assessment Measures:
None

Name of Industry Recognize Credentials: None

Instructional Strategies:
Lecture: 0-80%

Facilitated Discussion: 0-80%

Collaborative Learning: 0-80%

Technology Supplemented Instruction: 0-60%

Mediated Instruction: 0-100%

Mandatory Course Components:
Tests

Projects and/or Homework and/or Quizzes

Comprehensive Final Exam

Academic Program Prerequisite: None.
Prerequisites/Other Requirements: MA 107 (C or Higher) or ALEKS score of 46 or Higher
English Prerequisite(s): None
Math Prerequisite(s): None
Course Corerequisite(s): None
Course-Specific Placement Test: None
Course Aligned with IRW: N/A
Consent to Enroll in Course: No Department Consent Required

Total Lecture Hours Per Week: 4
Faculty Credential Requirements:
18 graduate credit hours in discipline being taught (HLC Requirement), Master’s Degree (GRCC general requirement)
Faculty Credential Requirement Details: Matser’s degree in Mathematics or in a closely related field with at least 18 semester hours of graduate work in mathematics. Teaching experience at the college level is preferred.

Maximum Course Enrollment: 32
Equivalent Courses: None
Dual Enrollment Allowed?: Yes
Advanced Placement (AP) Exam Credit Accepted: None
AP Min. Score: NA
Number of Times Course can be taken for credit: 1
Programs Where This Courses is a Requirement:
None
Course Fees: $19.00
People Soft Course ID Number: 101072
Course CIP Code: 27.01

High School Articulation Agreements exist?: No
Non-Credit GRCC Agreement exist?: No
If yes, with which Departments?: NA
Corporate Articulation Agreement exist?: No
If yes, with which Companies?: NA