Syllabus
beginning Spring 2005
COURSE
OUTLINE
COURSE DESCRIPTION: This course includes the
following topics: circular functions; trigonometric identities; solution of
right and oblique triangles; solution of trigonometric equations; polar
coordinates; complex numbers, including DeMoivre's Theorem; vectors; conic
sections; sequences; and series.
TEXT:
College Algebra and Trigonometry, Fifth Edition, by Richard Aufmann,
Vernon Barker, Richard Nation; Houghton Mifflin, 2005
PREREQUISITE: MAT 110
EQUIPMENT: Graphing calculator
required, TI-83 or TI-83+ recommended
A 90 - 100
B 80 - 89
C 70 - 79
D 60 - 69
F Below 60
A
listing of major course objectives may be found at http://www.midlandstech.com/math/mat1111.htm
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 are allowed 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 the following: You are responsible for all material and announcements presented, whether you are present or absent.
MAT
111 COLLEGE TRIGONOMETRY
|
WEEK |
TOPIC |
TEXT REF. |
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|
1 |
Trigonometric
Functions
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|
Angles and
Arcs
|
5.1 |
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Trigonometric Functions of Acute Angles |
5.2 |
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2 |
Trigonometric Functions of Any Angle |
5.3 |
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Trigonometric Functions of Real Numbers |
5.4 |
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Graphs of the Sine and Cosine Functions |
5.5 |
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3 |
Graphs of the Other Trigonometric
Functions |
5.6 |
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Graphing Techniques |
5.7 |
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4 |
TEST
1 |
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Trigonometric Identities and Equations |
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Verification of Trigonometric Identities |
6.1 |
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Sum, Difference and Cofunction Identities |
6.2 |
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5 |
Double- and Half-Angle Identities |
6.3 |
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Inverse Trigonometric Functions |
6.5 |
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6 |
Trigonometric
Equations |
6.6 |
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TEST 2 |
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7 |
Applications of Trigonometry |
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The Law of Sines |
7.1 |
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The Law of Cosines and Area |
7.2 |
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8 |
Vectors |
7.3 |
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Trigonometric Form of Complex Numbers |
7.4 |
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9 |
De
Moivre’s Theorem |
7.5 |
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TEST
3 |
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|
10 |
Topics in Analytic Geometry |
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Parabolas |
8.1 |
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Ellipses |
8.2 |
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Hyperbolas |
8.3 |
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Rotation of Axes |
8.4 |
|
11 |
Introduction to Polar Coordinates |
8.5 |
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Polar Equations of the Conics |
8.6 |
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12 |
Parametric Equations |
8.7 |
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TEST 4
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13 |
Sequences, Series and Probability
|
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Infinite Sequences and Summation Notation |
11.1 |
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Arithmetic Sequences and Series |
11.2 |
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Geometric Sequences and Series |
11.3 |
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14 |
Mathematical Induction |
11.4 |
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TEST 5
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Final Exam
|
|
Syllabus prior to spring 2005
COURSE
OUTLINE
MIDLANDS
TECHNICAL COLLEGE
COURSE
DESCRIPTION: This course includes the following topics: circular
functions; trigonometric identities; solution of right and oblique triangles;
solution of trigonometric equations; polar coordinates; complex numbers,
including DeMoivre's Theorem; vectors; conic sections; sequences; and series.
TEXT:
Algebra and Trigonometry: A Graphing Approach, Third Edition, by Ron
Larson, Robert Hostetler, Bruce Edwards; Houghton Mifflin, 2001
PREREQUISITE: MAT 110
EQUIPMENT: Graphing calculator required, TI-83 or TI-83+ recommended
A 90 - 100
B 80 - 89
C 70 - 79
D 60 - 69
F Below 60
A
listing of major course objectives may be found at http://www.midlandstech.com/math/mat1111.htm
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.
Three
absences are allowed for a class that meets three times per week, and two
absences are allowed 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 the following: You are responsible for all material and announcements presented, whether you are present or absent.
MAT 111 COLLEGE TRIGONOMETRY
|
WEEK |
TOPIC |
TEXT
REF. |
|
|
|
|
|
1 |
Trigonometric Functions
|
|
|
|
Angles and
Their Measure
|
5.1 |
|
|
Right Triangle Trigonometry |
5.2 |
|
|
Trigonometric Functions of Any Angle |
5.3 |
|
|
|
|
|
2 |
Graphs of Sine and Cosine Functions |
5.4 |
|
|
Graphs of Other Trigonometric Functions |
5.5 |
|
|
Inverse Trigonometric Functions |
5.6 |
|
|
|
|
|
3 |
Applications and Models |
5.7 |
|
|
|
|
|
|
TEST 1 |
|
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|
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|
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Analytic Trigonometry |
|
|
|
Using Fundamental Identities |
6.1 |
|
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Verifying Trigonometric Identities |
6.2 |
|
|
|
|
|
4 |
Solving Trigonometric Equations |
6.3 |
|
|
Sum and Difference Formulas |
6.4 |
|
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TEST 2 |
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5 |
Additional Topics in Trigonometry |
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Law of Sines |
7.1 |
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Law of Cosines |
7.2 |
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Vectors in the Plane |
7.3 |
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6 |
TEST 3 |
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Vectors and Dot Products |
7.4 |
|
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Trigonometric
Form of a Complex Number |
7.5 |
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7 |
Conics
and Parametric Equations |
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Conics
|
11.1 |
|
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Translations
of Conics
|
11.2 |
|
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Parametric
Equations
|
11.3 |
|
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|
8 |
Polar
Coordinates
|
11.4 |
|
|
Graphs of
Polar Equations
|
11.5 |
|
|
Polar
Equations of Conics
|
11.6 |
|
|
|
|
|
9 |
TEST 4
|
|
|
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|
|
|
|
Sequences,
Series and Probability
|
|
|
|
Sequences and
Series
|
10.1 |
|
|
Arithmetic
Sequences and Partial Sums
|
10.2 |
|
|
|
|
|
10 |
Geometric
Sequences and Series
|
10.3 |
|
|
Mathematical
Induction
|
10.4 |
|
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|
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TEST 5
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Final Exam
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