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College
Algebra is mathematics at the beginning of the
college level. A treatment of the number system (real
and complex numbers), polynomials, functions and graphs,
equations and inequalities, exponents and logarithms.
Main textbook:
Aufman,
Barker, Nation, College Algebra and Trigonometry,
Houghton M. Company, Boston, 2002.
·
Preliminary
concepts
-
The real number system
-
Intervals, absolute value, and distance
-
Polynomials
-
Factoring
·
Equations
and inequalities
-
Linear equations and their applications
-
Quadratic equations
-
Other type of equations
-
Inequalities
-
Variations and applications
·
Functions
and graphs
-
Introduction to functions
-
Linear and quadratic functions
-
Properties of graphs
-
The algebra of functions
·
Polynomial
and rational functions
-
Polynomial division and synthetic division
-
Polynomial functions; zeros of polynomials
-
The remainder theorem
-
The factor theorem
·
Exponential
and logarithmic functions
-
Inverse functions
-
Exponential functions and their graphs
-
Logarithmic functions and their graphs
-
Properties of logarithms
-
Exponential equations
-
Logarithmic equations
Teaching methods:
3 hours per week in the form of lectures
Assessment criteria:
Active participation
10 %
Homework
20 %
Test
2 x 10 % = 20 %
Midterm exam
20 %
Final exam
30 %
Grading Scale and Quality Points:
|
Grade |
Percentage |
Quality
points |
|
A |
96-100 |
4.00 |
|
A- |
90-95 |
3.67 |
|
B+ |
87-89 |
3.33 |
|
B |
83-86 |
3.00 |
|
B- |
80-82 |
2.67 |
|
C+ |
77-79 |
2.33 |
|
C |
73-76 |
2.00 |
|
C- |
70-72 |
1.67 |
|
D+ |
67-69 |
1.33 |
|
D |
63-66 |
1.00 |
|
D- |
60-62 |
0.67 |
|
F |
0-59 |
0.00 |
Trigonometry
(1 hour per week)
·
Angles and arcs
·
Trigonometric functions and acute angles
·
Trigonometric functions and any angles
·
The
wrapping function
·
Graphs of the fundamental trigonometric functions
·
Verification of trigonometric identities
·
Sum,
difference, and co function identities
·
Double – and half – angle identities
·
Identities involving the sum of trigonometric functions
·
Inverse trigonometric functions
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