COURSE
OUTLINE
MAT 168 INTRODUCTION
TO GEOMETRY AND TRIGONOMETRY
3.0
Credit
COURSE
DESCRIPTION: This course
includes the following topics: points,
lines, angles and angle measure; triangles, polygons; circles; geometric
solids; trigonometric solution of triangles.
TEXT: Applied Mathematics for Technology and
Careers by David
L. Goetsch, Deborah M. Goetsch,
Raymond L. Rickman Prentice-Hall,
Inc., 1996
PREREQUISITE: MAT 101
EQUIPMENT: Scientific Calculator
GRADING
SCALE:
A 90 – 100 B 80 – 89 C 70 – 79 D 60 – 69 F Below 60
MATHEMATICS DEPARTMENT ATTENDANCE
REQUIREMENTS
DEFINITIONS:
ABSENCE - failure to be present for a scheduled
meeting of the class or arriving for the class more than ten minutes after the scheduled time for the class
to begin.
TARDY --- arrival to class after the instructor
has called the roll and before ten minutes past the time scheduled for the
class to begin.
I. Absences are counted from the first day of
classes.
II. Five absences are allowed for a class that
meets three times per week, and three absences for a class that meets two times
per week.
III. Three tardies are
considered as one absence. The student must meet with the instructor at the end
of the class to which he has been late to have the absence changed to a tardy.
IV. There are no "excused" absences; all
absences are counted, regardless of the reason for the absence.
V. A student missing class time by leaving early
will also be counted absent.
Please
note: You are responsible for all material and announcements presented,
whether you are present or absent.
Mathematics Department Airport: 822-3357 Beltline:
738-7689 Revised 2/27/2007
MAT 168 COURSE OBJECTIVES
Students should be able to:
1. Understand
the basic ideas and techniques of geometry and trigonometry
(no proofs).
2. Apply
mensuration formulas to geometric figures.
3. Understand
the application of basic algebraic techniques to geometric situations.
4. Solve
problems by identifying what information is available and relevant to the
problem.
5. Solve
problems by selecting or developing appropriate procedures and relationships.
6. Solve
problems by correctly applying the methods selected to the information
available.
7. Solve
problems by verifying the validity and appropriateness of the solution.
MAT 168 INTRODUCTION
TO GEOMETRY AND TRIGONOMETRY
|
WEEK |
TOPIC |
PAGE REF. |
|
1 |
Workplace Applications of Arithmetic |
|
|
|
Manufacturing Problems |
51 |
|
|
Automotive Services Problems |
63 |
|
|
Heating, Cooling, Refrigeration, and
Plumbing Problems |
79 |
|
|
|
|
|
2 |
Engineering Problems |
90 |
|
|
Architecture and Construction Problems |
93 |
|
|
TEST 1 |
|
|
|
|
|
|
3 |
Algebraic Symbolism, Signed Numbers, and
Algebraic Operations |
|
|
|
Symbolism |
101 |
|
|
Integers |
103 |
|
|
Algebraic Operations |
107 |
|
|
Algebra: Solving Equations |
|
|
|
The Addition Principle of Equality |
114 |
|
|
The Subtraction Principle of Equality |
115 |
|
|
|
|
|
4 |
The Multiplication Principle of Equality |
115 |
|
|
The Division Principle of Equality |
116 |
|
|
The Root and Power Principle of Equality |
117 |
|
|
Solving Complex Equations |
117 |
|
|
Solving Proportions |
119 |
|
|
|
|
|
5 |
TEST 2 |
|
|
|
Geometry: Lines and Angles |
|
|
|
Definitions |
121 |
|
|
Rules of Geometry |
123 |
|
|
Angles |
124 |
|
|
Measuring Angles |
128 |
|
|
|
|
|
6 |
Geometry: Triangles and Polygons |
|
|
|
Triangles |
135 |
|
|
Side-Angle Relationships of Triangles |
137 |
|
|
Geometric Rules for Triangles |
139 |
|
|
|
|
|
7 |
Polygons |
144 |
|
|
Geometric Rules for Polygons |
144 |
|
|
|
|
|
8 |
Geometry: Circles and Arcs |
|
|
|
Definitions: Relating to Circles and Arcs |
147 |
|
|
Geometric Rules for Circles and Arcs |
150 |
|
|
Formulas for Circles |
151 |
|
|
Arcs and Angles In and Out of Circles |
154 |
|
|
|
|
|
9 |
Formulas for Arcs |
157 |
|
|
Tangent Circles |
157 |
|
|
TEST 3 |
|
|
|
|
|
|
10 |
Trigonometry: Right Triangles |
|
|
|
Pythagorean Theorem |
161 |
|
|
Trigonometric Functions |
162 |
|
|
|
|
|
11 |
Trigonometry: Oblique Triangles |
|
|
|
Solving Oblique Triangles: Law of Sine |
173 |
|
|
Solving Oblique Triangles: Law of Cosines |
176 |
|
|
|
|
|
12 |
Trigonometry: Areas of Triangles |
|
|
|
Calculating the Area of a Right Triangle |
181 |
|
|
Calculating the Area of an Oblique Triangle |
182 |
|
|
|
|
|
13 |
TEST 4 |
|
|
|
Workplace Applications of Algebra,
Geometry, and Trigonometry |
|
|
|
Manufacturing Problems |
187 |
|
|
Automotive Services Problems |
211 |
|
|
Heating, Cooling, Refrigeration, and
Plumbing Problems |
234 |
|
|
|
|
|
14 |
Engineering Problems |
228 |
|
|
Architecture and Construction Problems |
234 |
|
|
Review for Final Examination |
|
|
|
|
|
|
|
Comprehensive
Final Examination |
|