Download COVENANT UNIVERSITY, OTA 2014/2015 Academic Session

COVENANT UNIVERSITY, OTA
2014/2015 Academic Session
COURSE COMPACT FOR MAT112
College: Science and Technology
School: Natural & Applied Sciences
Department: Mathematics
Programme: Industrial Mathematics
Course Code: MAT112
Course Title: Trigonometry and Geometry
Units: 2
Course Lecturers: Agboola, O. O., Opanuga, A.A. & Akinlabi, G.O. (Miss)
Semester: Alpha
Time: Wednesday, 12:00 Noon – 2:00 pm
Location: Lecture Theatre I
A. BRIEF OVERVIEW OF COURSE
This course is a preparation course intended for students majoring in engineering, mathematics,
physics, chemistry, computer science and other vocational fields. The course is a study of both
trigonometric and analytic geometry. Topics include the trigonometric functions of the acute
non-acute angles, applications of right triangles, trigonometric identities, related angles and the
reduction formulas, radian measure, graphs of the trigonometric functions, applications, and
inverse trigonometric functions. Other topics are exponential and logarithmic equations, analytic
geometry (lines and conic sections).
B. COURSE OBJECTIVES/GOALS
As a result of successfully completing this course, students will have demonstrated an acceptable
level of mastery of the basic concepts and principles of trigonometry and analytic geometry as
well as an understanding of mathematical logic necessary to apply these concepts and principles
to problem solving. Acceptable mastery of the course contents will indicate a trigonometry and
analytic geometry background necessary to pursue further course work in mathematics and other
areas in which MAT112 is a prerequisite.
C. METHOD OF DELIVERY /TEACHING AIDS
The course has an in-class component and an out-of-class component. The in-class component
will be a combination of lectures, problem solving demonstrations, discussions,
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questions/answers and short problem solving activities. In the out-of-class component, students
are expected to read and review their notes and textbooks, and complete homework problems.
Classroom Powerpoint presentations will be used to reinforce concepts. Many sample problems
will be presented on overhead transparencies. Students will be led step-by-step through various
thinking and problem solving strategies to solve many kinds of problems. Students will be given
ample opportunity to practice solving problems through in-class quizzes as well as through
homework assignments.
D. COURSE OUTLINE
Course Outline and Weekly Course Coverage Calendar
Week 1 (20-08-2014)
Trigonometric Functions
1.1 Angles
1.2 Trigonometric Functions of Angles and Real Numbers
1.3 Right Triangle Trigonometry/Trigonometric Functions of Acute Angles
1.4 Trigonometric Functions of Non-Acute Angles
1.4 Solving Right Triangles and Applications
Week 2 (27-08-2014)
Radian Measure, Circular Functions and their graphs
2.1 Radian Measure
2.2 Applications of Radian Measure
2.3 The Unit Circle and Circular Functions
2.4 Linear and Angular Speed (may be skipped)
2.5 Graphs of the Sine and Cosine Functions
2.6 Translations of the Graphs of the Sine and Cosine Functions
2.7 Graphs of the Tangent Function
2.8 Graphs of the Cotangent, Secant and Cosecant Functions (may be skipped)
2.9 Harmonic Motion (may be skipped)
Week 3 (03-09-2014)
Trigonometric Identities
3.1 Fundamental Identities
3.2 Verifying Trigonometric Identities
3.3 Sum and Difference Identities for Cosine, Sine and Tangent
3.4 Double-Angle Identities
3.5 Half-Angle Identities
Week 4 (10-09-2014)
Test #1
Week 5 (17-09-2014)
Inverse Circular Functions and Trigonometric Equations / Applications of Trigonometry
5.1 Inverse Circular Functions
5.2 Trigonometric Equations
5.3 Equations Involving Inverse Trigonometric Functions
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5.4 Applications of Trigonometry
Week 6 (24-09-2014)
6.1 Exponential functions
6.2 Logarithmic functions
6.3 Hyperbolic functions
Week 7 (01-10-2014)
Independence Day (Lecture Free)
Week 8 (08-10-2014)
Test #II
Week 9 (15-10-2014)
Analytic Geometry I: Equation of Lines and Planes
Week 10 (22-10-2014)
Analytic Geometry II: Conics (Circles and Parabolas)
10.1 Finding the Equation of a Circle
10.2 Finding the Center and Radius of a circle
10.3 Equations and Graphs of Parabolas
10.4 Applications of Parabola
Week 11 (29-10-2014)
Analytic Geometry: Conics (Ellipses and Hyperbolas)
11.1 The Equation of an Ellipse
11.2 Graphing an Ellipse centered at the origin
11.3 Finding foci and the equation of an Ellipse
11.4 Standard form of Equation of an Ellipse
11.5 Standard form of Equations for Hyperbolas
11.6 Graphing Hyperbolas
11.7 Summary of the Conic Sections
Week 12 (05-11-2014)
Revision
Week 13 - 16 - (10-11-2014 to 05-12-2014)
(Final exam)
F. STRUCTURE OF PROGRAMME/METHOD OF GRADING
The major Tests, Final Exam, Quizzes, Homework, and Class Participation will count in the final
grade as follows:
Assignment
Name
Number of
Assignments
Points
Percentage of
Final Grade
Homework
4 @ 5 points each
20
2.5
3
Attendance
10 lectures @ 1 point each
10
2.5
Quizzes
2 @ 5 points each
10
5
Tests
2 @ 20 points each
40
20
Final Exam
50 questions @ 2 points each 100
Total Points
180
70
100
G. GROUND RULES & REGULATIONS
Students would be required to maintain high level of discipline (which is the soul of an army) in
the following areas:
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Regularity and punctuality at class meetings – Because regular participation enhances the
learning process, students are expected to adhere to the attendance policy set forth by the
University. Therefore, students are strongly encouraged to attend all classes to better
prepare them for assignments, tests and other course-related activities;
Regardless of the cause of absences, a student who is absent six or more days in a
semester is excessively absent, and will not receive credit unless there are verified
extenuating circumstances
Students will be given assignments periodically. Students may work together to
understand these assignments, but all work submitted must be the student’s original work.
There is a distinct difference between providing guidance and instruction to a fellow
student and allowing the direct copying of another’s answers or work.
Late homework assignments will NOT be accepted.
Modest dressing; and
Good composure.
H. TOPICS FOR TERM PAPERS/ASSIGNMENTS/STUDENT ACTIVITIES
Group projects will be assigned at the discretion of the course tutors/facilitators.
I. ALLIGNMENT WITH COVENANT UNIVERSITY VISION/GOALS
Prayers are to be offered at the beginning of lectures. Presentation of the learning material will
be done in such a way that the knowledge acquired is useful and applicable. Efforts would be
made to address students on godliness, integrity and visionary leadership.
J. CONTEMPORARY ISSUES/INDUSTRY RELEVANCE
The course will lay a solid foundation for the students in applied Mathematics and
Engineering.
K. RECOMMENDED READING/TEXT
 Algebra and Trigonometry with Analytic Geometry (13th Ed.), Swokowski and Cole.
Cengage Learning, 2012, ISBN 1133294351-BNDL: ACP
 C. H. Edwards & D. E. Penney. Calculus, 6th ed., Prentice Hall: New Jersey. (2002).
 S. K. Stein & A. Barcellos. Calculus and Analytic Geometry, 5th ed., McGraw – Hill Inc.:
New Jersey. (1992).
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