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
Prerequisites/Other Requirements: MA 107 (C or Higher) or ALEKS score of 46 or Higher
English Prerequisite(s): None
Math Prerequisite(s): None
Course Corequisite(s): None
Academic Program Prerequisite: None.
Consent to Enroll in Course: No Department Consent Required
Dual Enrollment Allowed?: Yes
Course Fees: $19.00
Number of Times Course can be taken for credit: 1
Programs Where This Course is a Requirement:
None

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)

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

Approved for Online and Hybrid Delivery?:
Yes
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
Equivalent Courses:
None

Accepted GRCC Advanced Placement (AP) Exam Credit: None
AP Min. Score: NA
Name of Industry Recognize Credentials: None

Course prepares students to seek the following external certification:
No
Course-Specific Placement Test: None
Course Aligned with ARW/IRW Pairing: N/A

Mandatory Department Assessment Measures:
None

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
Total Lecture Hours Per Week: 4
People Soft Course ID Number: 101072
Course CIP Code: 27.01
Maximum Course Enrollment: 32
High School Articulation Agreements exist?: No
Non-Credit GRCC Articulation Agreement With What Area: No
Identify the Non Credit Programs this Course is Accepted: NA

School: School of STEM
Department: Mathematics
Discipline: MA
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.

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