A. Organization of the Course
This course meets five times a week. The presentation is lecture with ample time
for discussion of homework and class work.
B. Course Description
Topics that will be covered include inequalities, functions and graphing,
polynomials and rational functions , trigonometric functions , exponential and
logarithmic functions , and conic sections .
C. Attendance
Attendance is required. Students missing more than five classes during the
semester risk being withdrawn from the course and will receive a grade of W or
F.
Students who are late to class more than twice will be counted as absent for
each
additional time . A student absent from class is responsible for all the material
taught and for all procedural information discussed, including any changes in
examination dates and assignments.
D. Course Purpose and Objectives
The following list is a partial list of the things each student will be expected
to be
able to do by the end of the semester.
1. Use interval notation.
2. Evaluate absolute values.
3. Use the Pythagorean Theorem to find an unknown side.
4. Solve a linear and quadratic equation.
5. Solve an absolute value equation .
6. Solve a linear inequality.
7. Solve a nonlinear inequality.
8. Solve an inequality involving absolute values.
9. Find the distance and midpoint between two
points.
10. Find the intercepts of a graph .
11. Find an equation of a circle.
12. Test for an equation for symmetry.
13. Find the slope and intercepts of a line.
14. Find an equation of an oblique line.
15. Find an equation for a vertical and horizontal line.
16. De termine whether a relation represents a function.
17. Find the value of a function.
18. Find the domain of a function.
19. Determine the average rate of change.
20. Find the intervals where a graph is increasing or decreasing.
21. Identify the graph of basic functions.
22. Find the slope of a secant line.
23. Graph an equation using transformations.
24. Operations on functions; composition of functions.
25. Mathematical modeling : constructing functions.
26. Find the domain of a rational function.
27. Determine vertical and horizontal asymptotes of a rational
function.
28. Find the domain, range and graph of an inverse function.
29. Evaluate and graph exp onential functions .
30. Change exponential expressions to logarithmic expressions.
31. Change logarithmic expressions to exponential expressions.
32. Evaluate and graph logarithmic functions.
33. Use the properties of logarithms to rewrite logarithmic
expressions.
34. Evaluate logarithms whose base is neither 10 nor e.
35. Solve logarithmic and exponential equations.
36. Solve an applied problem involving growth or decay.
37. Convert the measure of an angle in degrees or radians.
38. Find the arc length of a circle.
39. Find the exact value of a trigonometric function of a
given angle using the unit circle.
40. Determine the domain, range, period and sign of the
trigonometric functions.
41. Find the value of trigonometric functions by using trigonometric
identities.
42. Solve a problem requiring right-triangle trigonometry.
43. Sketch the graph of a trigonometric function.
44. Use sum and difference formulas for sine and cosine
to find exact values.
45. Use double -angle formulas to find exact values.
46. Find the exact value of an inverse trigonometric functions.
47. Solve a trigonometric equation.
48. Solve a problem requiring the use of trigonometric identities.
49. Solve a problem requiring right-triangle trigonometry.
Time permitting: Partial fraction decomposition, polar coordinates, polar
equations and graphs, and the Binomial Theorem .
E. Academic Dishonesty
If at any time during the semester there is evidence of a student using
unauthorized material or submitting answers which are not of their own original
composition on examinations, then that student will be dismissed from the
course,
receive a grade of F for the semester, and be referred to the Dean of Students
for
further action. Students are encouraged to work in groups on all homework
assignments and laboratories unless specifically advised to the contrary.
F. STCC POLICY ON DISRUPTIVE BEHAVIOR
"Behavior which disrupts the establishment or maintenance of the learning
environment may result in the student causing the behavior to be removed from
the classroom by the instructor. The student may be subject to further
disciplinary
action..."
All cell phones, pagers, beepers, or any other communication devices MUST be
turned OFF during class time. In particular, if any such device is ON during
testing, it will be considered an act of CHEATING and the student will be dealt
with accordingly (see above for consequences of cheating). Also, tardiness
disrupts the class and is therefore included in the Policy on Disruptive
Behavior.
Student Conduct: It is expected each student treat everyone with proper respect.
When the professor or any student is speaking, it is expected that the remainder
of
the class will be quiet, respectful, and contribute to the discussion. Unruly
students will be asked to leave the classroom on their first offense. Any
further
disruption will result in withdrawal from the course.
G. Evaluation Criteria
Homework problems appear at the end of this syllabus but they are not collected.
There will be 5 examinations and a cumulative final examination, which will
count as 2 grades. The lowest of the 7 grades will be dropped and the course
grade will be the average of the remaining 6 grades. NO make-up exams are
given, unless a documented reason is given to the instructor in advance.
H. Calculators
Only basic scientific calculators are allowed during testing. This means no
programmable or graphing calculators are allowed. Also, students may not share
calculators during testing.
