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.

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
5.6  Solving Quadratic Equations Using the Quadratic Formula
5.7  Solving Problems Using Quadratic Equations
5.8  Graphing Quadratic Functions
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