MATH 2303 - Concepts in Algebra - University of Houston

# MATH 2303 - Concepts in Algebra

***This is a course guideline.  Students should contact instructor for the updated information on current course syllabus, textbooks, and course content***

Prerequisites:  Math 1312 or Math 1313

Course Description:  Mathematical systems: classical and abstract algebra, systems of numeration, and basic number theory. *Note: May not apply to course or GPA requirements for a major or minor in natural sciences and mathematics.

TextbookMath 2303. Available in electronic form (PDF) through CASA for all enrolled students via an Access Code.  *Note: If you misplace/lose your code, you will need to purchase another. There is no exception to this.

Note: Additional important information is contained at your instructor’s personal webpage. You are responsible for knowing all of this information.

Course Syllabus:

Chapter 1: Counting and Measuring

1.1  Systems of Numeration and Additive Systems of Numeration
1.2  Alphabetic and Multiplicative Systems of Numeration
1.3  Place Value Systems of Numeration
1.4  Place Value Systems in Other Bases
1.5  Arithmetic in Other Bases
1.6  Systems of Measurement
1.7  Dimensional Analysis

Chapter 2: Real Numbers and Their Properties

2.1  An Introduction to Number Theory
2.2  Integers
2.3  Rational Numbers
2.4  Exponents and Scientific Notation
2.5  Irrational Numbers
2.7  Real Numbers
2.8  Properties of Real Number Operations

Chapter 3: Variables, Expressions and Equations

3.1  Variables, Expressions and the Order of Operations Rule
3.2  Equations and Inequalities
3.3  Solving Equations
3.4  Using a Scientific Calculator
3.5  Using Formulas
3.6  Solving Problems Using Equations
3.7  Solving Inequalities

Chapter 4: Graphing Lines and Inequalities

4.1  Graphing Linear Equations
4.2  Writing Equations of Lines
4.3  Graphing Linear Inequalities

Chapter 5: Functions

5.1  Functions, Domains and Ranges
5.2  Linear Functions
5.3  Factoring
5.4  Solving Quadratic Equations by Factoring
5.5  Solving Quadratic Equations Using Square Roots
5.7  Solving Problems Using Quadratic Equations
5.9  Graphing Non-linear Functions

Chapter 6: Systems of Equations and Inequalities

6.1  Solving Systems of Linear Equations
6.2  Solving Systems of Equations Using Substitution
6.3  Solving Systems of Equations Using Linear Combination
6.4  Graphing Systems of Inequalities

Chapter 7: An Introduction to Abstract Algebra

7.1  Patterns in Algebra
7.2  Arithmetic and Geometric Sequences
7.3  More Sequences
7.4  Abstract Mathematical Systems
7.5  More Examples of Groups
7.6  Isomorphism
7.7  Mathematical Modeling

CSD Accommodations:

Accommodation Forms: Students seeking academic adjustments/auxiliary aids must, in a timely manner (usually at the beginning of the semester), provide their instructor with a current Student Accommodation Form (SAF) (paper copy or online version, as appropriate) from the CSD office before an approved accommodation can be implemented.

Details of this policy, and the corresponding responsibilities of the student are outlined in The Student Academic Adjustments/Auxiliary Aids Policy (01.D.09) document under [STEP 4: Student Submission (5.4.1 & 5.4.2), Page 6]. For more information please visit the Center for Students with Disabilities Student Resources page.

Additionally, if a student is requesting a (CSD approved) testing accommodation, then the student will also complete a Request for Individualized Testing Accommodations (RITA) paper form to arrange for tests to be administered at the CSD office. CSD suggests that the student meet with their instructor during office hours and/or make an appointment to complete the RITA form to ensure confidentiality.

*Note: RITA forms must be completed at least 48 hours in advance of the original test date. Please consult your counselor ahead of time to ensure that your tests are scheduled in a timely manner. Please keep in mind that if you run over the agreed upon time limit for your exam, you will be penalized in proportion to the amount of extra time taken.

UH CAPS

Counseling and Psychological Services (CAPS) can help students who are having difficulties managing stress, adjusting to college, or feeling sad and hopeless. You can reach (CAPS) by calling 713-743-5454 during and after business hours for routine appointments or if you or someone you know is in crisis. No appointment is necessary for the "Let's Talk" program, a drop-in consultation service at convenient locations and hours around campus.