MATH 1420 : INTRODUCTION TO COLLEGE MATHEMATICS

3 Credit Course
Offered in Lecture Format
Prerequisite required  (MATH 0500 with a grade of A or B; or Appropriate Placement-Test score)

SYLLABUS

**I. INTRODUCTION TO SETS

A. Set notation
B. Subsets
C. Set operations
        1. Union
        2. Intersection
        3. Complement
        4. Cartesian product

II. WHOLE NUMBERS

A. Properties of operations
B. Number-theoretic concepts
        1. Prime factorizations
        2. GCD, LCM

III. INTEGERS

A. Absolute value
B. Properties of operations

IV. RATIONAL NUMBERS

A. Fractions
B. Decimals
C. Properties of operations
D. Ratio and proportion
E. Percents

V. REAL NUMBERS

A. Irrational numbers
B. Properties of operations

VI. INTRODUCTION TO ALGEBRA

A. Concepts of variable and constant
B. Algebraic expressions; evaluations
C. Linear equations
D. Problem solving

VII. GEOMETRIC FORMS AND MEASUREMENT

A. Common geometric figures
B. Geometric formulas
        1. Perimeter
        2. Area
        3. Volume
C. Pythagorean Theorem
D. English and metric systems

VIII. GEOMETRIC CONCEPTS

A. Historical and logical foundations
B. Congruence and similarity of triangles
C. Transformations
        1. Translations
        2. Rotations
        3. Reflections
D. Introduction to analytic geometry
        1. Cartesian Plane
        2. Lines

**The material on sets should be discussed in the context of the development of the real number system.

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