 # APPLIED MATHEMATICS I

COURSE DESCRIPTION:

Prerequisites: MAT 060 or satisfactory score on placement test
Corequisites: None

This course is a comprehensive review of arithmetic with basic algebra designed to meet the needs of certificate and diploma programs. Topics include arithmetic and geometric skills used in measurement, ratio and proportion , exponents and roots , applications of percent, linear equations, formulas, and statistics. Upon completion, students should be able to solve practical problems in their specific areas of study. Also included are definitions and properties of angles, polygons, and circles; area; and right triangle trigonometry. This course is intended for certificate and diploma programs. Course Hours Per Week: Class, 2. Lab, 2. Semester Hours Credit, 3.

LEARNING OUTCOMES:

1. Students will be able to use arithmetic operations and algebraic techniques to manipulate and simplify expressions, solve equations, and to perform conversions between systems of measurement . Students will display proficiency by demonstrating the following competencies:

a. Perform operations with fractions.
b. Perform operations with decimals.
c. Change fractions to decimals and percents.
d. Change percents to decimals and fractions.
e. Solve applied problems involving percents.
f. Calculate ratios and solve proportions.
g. Solve applied problems using proportions.
h. Perform operations with measurement numbers.
i. Convert measurement numbers within the English and metric systems and between the two systems.
j. Perform operations with signed numbers.
k. Raise numbers to powers and find square roots of numbers.
l. Perform operations with algebraic expressions.
m. Solve equations and formulas.
n. Solve applied problems using algebraic techniques.
o. Convert numbers to scientific notation and convert from scientific notation to decimal form.

2. Students will be able to define, identify, and perform computations involving geometric figures and right triangle trigonometry. Students will display proficiency by demonstrating the following competencies:

a. Measure angles and determine relationships between angles.
b. Identify and find the area and perimeter of polygons.
c. Identify and find the area of triangles.
d. Use the Pythagorean Theorem.
e. Identify the characteristics of a circle and find its circumference and area.
f. Find the values of trigonometric ratios using a calculator and from the given sides of a triangle.
g. Solve oblique triangles and right triangles.
h. Solve applied problems using trigonometry.

3. Students will be able to use descriptive statistics to summarize data. Students will display proficiency by demonstrating the following competencies:

a. Read and construct statistical graphs .
b. Find the mean, median, and mode for sample data.

OUTLINE OF INSTRUCTION:

I. Review of fractions
A. Reducing to lowest terms
B. Comparing fractions
C. Multiplication
D. Division

II. Review of decimal numbers
B. Multiplication and division
C. Changing fractions to decimals
D. Changing decimals to fractions

III. Ratio and proportion
A. Calculating ratios
B. Solving proportions
C. Changing decimals to percent
D. Changing fractions to percent
E. Changing percents to decimal numbers
F. Applications of percent

IV. Measurement
A. Addition and subtraction of measurement numbers
B. Multiplication and division of measurement numbers
C. Rounding
D. Unit conversions between the English and metric systems

V. Signed numbers
B. Subtraction
C. Multiplication and Division
D. Exponents and square roots

VI. Basic algebra
A. Signs and symbols
B. Operations with algebraic expressions
C. Solving equations and formulas
D. Solving word problems
E. Scientific notation

VII. Practical geometry
A. Angle measurement
B. Area and perimeter of polygons
C. Pythagorean Theorem
D. Circles

VIII. Right triangle trigonometry
A. Angles and triangles
B. Trigonometric ratios
C. Solving right triangles
D. Oblique triangles

IX. Statistics