Fundamentals of Mathematics (MAT 180
3.0 Cr)
Arts & Sciences
Course Description
This
course explores basic concepts in mathematics,
including whole numbers, fractions, decimals,
percents, estimation, ratios, proportions,
systems of numeration, signed numbers, rational
numbers, graphs and elementary logic. It
is designed for students who have had two
or more years of high school mathematics
and who have not recently studied or used
formal mathematics.
Learning
Objectives
After completing this course, students will
be able to:
•
Understand and operate with whole numbers
• Understand and manipulate fractions
• Understand the principles of decimal
and percent representations of fractions
• Know the basics of measurement as
applied to two and threedimensional geometry
• Perform basic operations in algebra
Breadth
of Assignments
This course relies on a variety of assignment
types including textbook reading and exercises,
flash based presentations, quizzes and exams,
discussions, and individual assignments
using word problems, number problems, and
real world examples of the uses of mathematics.
Required
Resources
Van Dyke, Rogers and Adams. (1999) Fundamentals
of Mathematics (7th Ed.). Saunders College
Publishing. ISBN 003022473X.
Fundamentals
of Mathematics
Arts & Sciences
Module/Topics
Module
1: Basics of Arithmetic
• Working with whole numbers (Rounding,
Inequalities, Adding/Subtracting, Multiplying/Dividing)
• Computing exponents and understanding
their relation to powers of 10 and representations
of numbers
• Using the rules for orders of operation
to perform series of arithmetic operations
• Computing averages
• Reading and interpreting tables
and graphs
Module
2: Basics of Geometry and Measurement
• Thinking of measurements as numbers
times units of measure
• Converting measurements between
English and metric units
• Finding perimeters of twodimensional
polygons
• Finding areas of common twodimensional
polygonal figures such as triangles, and
rectangles
• Finding volumes of common threedimensional
geometric shapes
Module
3: Factors and Multiples
• Deciding whether one number can
be divided by another
• Determining when numbers are multiples
of other numbers
• Finding the factors of a whole number
• Understanding the notion of and
uses of prime numbers
• Finding the least common multiple
of two numbers
Module
4: Fractions
• Understanding how fractions represent
parts of a whole
• Adding and subtracting fractions
• Multiplying and divide fractions
• Using fractions in measurement
Module
5: Decimals
• Understanding how decimals are used
to represent parts of whole numbers
• Reading and writing decimals
• Converting between fractions and
decimals
• Adding and subtracting decimals
• Multiplying and dividing decimals
• Working with powers of 10 and scientific
notation
• Working with and converting units
using decimals
Module
6: Ratios, Proportions, and Percents
• Understanding and working with the
concepts of ratio and rate
• Solving problems involving proportions
• Understanding and use percents
• Converting among fractions, decimals,
and percents
Module
7: Basics of Algebra
• Adding, subtracting, multiplying,
and dividing negative numbers
• Understanding absolute value
• Applying the principles of solving
equations for unknown variables
• Knowing which operations to perform
on any equation to find the value of a variable
