| 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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