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# Discrete Mathematics S1 (#451)

**Course Description:**

Discrete Mathematics 451 is a ½ semester study basic concepts of mathematics and mathematical reasoning. This course covers the studies of problem solving and critical thinking, set theory, logic, number theory and the real number system, algebraic equations and inequalities and the graphs, functions and linear systems.

*Problem Solving and Critical Thinking*

a. Inductive and Deductive Reasoning

b. Estimation, graphs and Mathematical Models

c. Problem Solving

*Set Theory*

a. Basic Set Concepts

b. subsets

c. Venn diagrams and Set Operations

d. Set Operations and Venn Diagrams with Three Sets

e. Survey Problems

*Logic*

a. Statements, Negations and Quantified Statements

b. Compound Statements and Connectives

c. Truth Tables for Negation, Conjunction and Disjunction

d. Truth Tables for Conditional and Biconditional

e. Equivalent Statements and Variations of Conditional Statements

f. Arguments and Truth Tables

*Number Theory and the Real Number System*

a. Number Theory: Prime and Composite numbers

b. the Integers and Order of Operations

c. Rational and Irrational Numbers

d. Real Number Properties

e. Exponents and Scientific Notation

f. Arithmetic and Geometric Sequences

*Algebra: Equations and Inequalities*

a. Algebraic Expressions and Formulas

b. Linear Equations and Inequalities in One Variable

c. Applications of Linear Equations

d. Quadratic Equations

__Algebra: Graphs, Functions and Linear Systems__

a. Graphing and Functions

b. Systems of Linear Equations in Two Variables

c. Linear Programming

d. Modeling Data

## Notice to Prospective Students

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## Credit Disclaimer

Please be informed that most of the courses being offered at this time are the same courses that the Independent and Distance Learning Department at LSU was offering. While they are the same courses, they are not being offered by Louisiana State University. There is no affiliation between Louisiana High School Correspondence Courses, LLC and LSU. These courses will be administered and graded by LHSCC.