May 24th
May 24th
COURSE OUTLINE FOR COLLEGE ALGEBRA AND TRIGONOMETRY
Course Description: A basic presentation of the
fundamental concepts of college algebra and trigonometry , systems of linear
equations , inequalities , linear, quadratic, trigonometric, exponential and
logarithmic functions. During the recitation hours, students review properties
of signed numbers , graphing of functions , basic geometric concepts, solution of
linear equations, factoring algebraic expressions and its applications to
rational expressions. A scientific calculator will be required.
Curricula for which the course is required/recommended:
A.S. Degree Programs in Liberal Arts and Sciences (Science and Mathematics),
Engineering Science, Health Sciences, and Environmental Health
General Education Objectives: Use analytical
reasoning skills to identify issues or problems and evaluate evidence in order
to make informed decisions; reason quantitatively and mathematically as required
in their fields of interest and in everyday life; integrate knowledge and skills
in their program of study; use information management and techno logy skills
effectively for academic research and lifelong learning.
Course Objectives/ Expected Student Learning Outcomes:
Understand the important concepts and theories of algebraic, geometric,
trigonometric, exponential and logarithmic functions and apply them to solve
problems in mathematics, engineering and other disciplines.
Text:
ALGEBRA WITH TRIGONOMETRY FOR COLLEGE STUDENTS, 2nd Edition Customized for
Queensborough Community College,
By: Robert Blitzer
Pearson Custom Publishing, 2009
Methods by which Student learning will be evaluated:
The general guidelines for assessing grades are as follows:
Examinations, Assignments and Classroom Performance 70%
Final Examination 30%
The final exam must count at least 30% of the grade.
Academic Integrity: Academic honesty is taken
extremely seriously and is expected of all students. All assignments must be the
original work of the student (and partners or group, if applicable). All
questions or concerns regarding ethical conduct should be brought to the course
instructor. “It is the official policy of the College that all acts or attempted
acts that are violations of academic integrity be reported to the Office of
Student Affairs (OSA). At the faculty member’s discretion and with the
concurrence of the student or students involved, some cases, though reported to
the OSA, may be resolved within the confines of the course and department. The
instructor has the authority to adjust the offender’s grades as deemed
appropriate, including assigning an F to the assignment or exercise or, in more
serious cases, an F to the student for the entire course.” (Taken from the QCC
Academic Integrity Policy, 2/14/2005.)
NOTE: Any student who feels that he/she may need an
accommodation based upon the impact of a disability should contact the
instructor privately to discuss his/her specific needs. Please contact the
office of Services for Students with Disabilities in Science Building, room 132
(718 631 6257) to coordinate reasonable accommodations for students with
documented disabilities.
| TOPIC |
SECTIONS |
HOURS |
| Integral Exponents & Scientific
Notation |
1.6-1.7 |
3 |
| Functions, Domain, Functional
Notation, Vertical Line Test |
2.1-2.2 |
3 |
| Graphing Linear Functions, Slope ,
Equations of Lines, Introduction to Graphing Calculator |
2.4-2.5 |
4 |
| Solving Systems of Equations:
Graphically and Algebraically |
3.1 |
2 |
| Business Applications (optional) |
3.2 (182-5, 189-191) |
1 |
| Linear & Compound Inequalities &
Absolute Value Equations |
4.1-4.3 |
3 |
| Graphing Linear Inequalities (by hand
and with a calculator) |
4.4 |
2 |
| Review of Previous Methods of
Factoring (5.3-5.6), Introduction of Factoring by |
5.3 (p. 334-6) |
2 |
| Grouping and by Sum and Difference of
Cubes |
5.5 (p. 358-9) |
|
| Solving Polynomial Equations by
Factoring and Applications |
5.7 |
2 |
| Complex Fractions |
6.3 |
2 |
| Solving Fractional Equations
&Applications |
6.6 – 6.7 |
2 |
| Radicals, Rational Exponents &
Radical Equations |
7.1 – 7.6 |
6 |
| Complex Numbers |
7.7 |
3 |
| Solving Quadratic Equations by
Completing the Square, Formula and Applications |
8.1 – 8.2 |
3 |
| Graphing Quadratic Functions using
Axis of Symmetry, Vertex and Intercepts (by hand and with a calculator) |
8.3 |
3 |
| Angles and Their Measure, Right
Triangle Trigonometry, Radian Measure & Trigonometric Functions of Any
Angle |
10.1-10.3b |
10 |
Graphing Sine & Cosine Functions of
the form:  and
 (by hand and with a calculator) |
10.5 |
3 |
| Exponential Functions and
Applications |
9.1 |
3 |
| Logarithmic Functions and
Applications |
9.3-9.4 |
4 |
| Exponential and Logarithmic Equations |
9.5 |
3 |
| Review |
|
2 |
| Exams |
|
4 |
| |
TOTAL |
70 |
The approximate hours per chapter are guidelines and are
at the discretion of the instructor. The instructor is responsible for making
assignments and scheduling examinations. The Final Exam date is scheduled by the
Registrar.
MA-120 Homework Problems
Additional problems may be assigned from the Chapter Review Exercises,
Cumulative Review Exercises, and Chapter Tests at the end of each chapter.
| Section |
Pages |
Problems |
| 1.6 |
73-75 |
7,11,13,17,23,27,29,35,39,43,47,55,59,63,67,75,77,81,87,95,97,103,105,
109,111,115,117,119,121,123,125 |
| 1.7 |
82-84 |
1,5,11,17,19,23,25,31,35,39,43,47,51,53,63,65 |
| 2.1 |
102-103 |
1,3,5,7,9,11,15,17,19,21,31 |
| 2.2 |
111-116 |
1,3,5,11,13,15,17,19,21,23,25,27,29,31,33,35,37,39,41,43,45,47,49,59,61 |
| 2.4 |
140-143 |
1,5,9,13,17,21,23,25,27,33,35,39,43,45,49,51,53,57,67,81,89,95 |
| 2.5 |
150-154 |
1,5,9,13,17,21,25,27,29,35,37,41,43,45,47,49,51,53,57,61,67,71 |
| 3.1 |
177-181 |
3,9,13,19,21,27,31,37,39,41,47,51,57,61,63,65,71,75,77 |
| 3.2 |
192-194 |
1,3,5,11,13,15,17,35 |
| 4.1 |
249-252 |
7,9,11,13,15,17,19,23,31,35,39,41,43,45,47,49,51,53,57 |
| 4.2 |
258-261 |
1,3,7,11,15,21,23,25,27,31,33,39,45,47,51,57 |
| 4.3 |
272-273 |
3,5,7,9,11,15,17,19,21,25,27,31,35 |
| 4.4 |
283-285 |
3,7,11,15,19,23,29,33,37,41,45,75,77 |
| 5.3 |
336-337 |
35,37,39,45,47,49,51,53,55,57,59,61,63,65 |
| 5.5 |
359-361 |
75,77,79,81,83,85,87,91 |
| 5.6 |
366-368 |
1,3,5,7,11,15,21,23,29,31,33,39,45,47,51,59 |
| 5.7 |
376-379 |
1,5,7,11,17,21,23,25,27,31,35,37,43,47,71,73,75,77,82 |
| 6.3 |
422-424 |
1,3,5,7,9,11,13,15,31 |
| 6.6 |
447-449 |
1,3,5,7,9,11,13,15,17,19,21,23,25,27 |
| 6.7 |
458-459 |
1,3,5,7,9,11,13 |
| 7.1 |
494-497 |
1,3,5,9,13,17,19,21,25,27,29,35,39,47,49,59,79,81 |
| 7.2 |
504-507 |
1,5,9,13,17,21,25,29,33,37,43,47,51,55,57,69,73,79,83,93 |
| 7.3 |
513-515 |
1,5,9,15,17,21,23,25,27,39,41,43,47,53,55,63,65,67,73 |
| 7.4 |
520-523 |
1,5,7,9,11,13,15,19,29,33,35,45,47,49,51,57 |
| 7.5 |
531-534 |
1,3,5,11,13,17,21,23,39,43,47,49,75,77,79,81,87 |
| 7.6 |
541-543 |
1,3,5,7,9,15,17,19,27,31,43,45,69,71 |
| 7.7 |
551-552 |
1,3,5,9,11,17,21,23,25,29,31,33,39,43,49,53,59,61,65,69,73,75,85,87,89 |
| 8.1 |
571-574 |
3,7,11,23,25,27,35,37,39,41,47,51,83,85,87,97 |
| 8.2 |
585-588 |
1,3,7,11,13,21,25,29,31,35,39,43,45,65,71,77,79 |
| 8.3 |
602-606 |
27,29,31,33,35,37,39,59 |
| 10.1 |
738 |
1,3,5,11,13,15,19,21,25,29,35 |
| 10.2a |
752-754 |
1,5,9,11,13,15,25,29,31,33,35,39,41,43,45,47,49,51 |
| 10.2b |
758-759 |
1,5,7,9,13,15,17,19,21 |
| 10.3a |
764-766 |
1,3,5,7,9,13,15,19,23,27,29,31,33,35,37,39 |
| 10.3b |
775-776 |
1,5,7,9,13,17,21,23,25,27,29,31,35,39,43,47,51,55,61 |
| 10.5 |
802-805 |
1,5,7,9,11,13,15,31,33,35,39,41,51,53 |
| 9.1 |
648-651 |
1,5,7,13,17,25,31,39,41,43,45,53,57 |
| 9.3 |
677-679 |
1,3,5,9,13,17,21,25,29,33,37,43,53,55,57,59,61 |
| 9.4 |
689-691 |
1,3,5,7,11,13,17,21,23,27,33,37,39,41,45,51,55,61,63 |
| 9.5 |
702-705 |
1,3,7,11,13,17,19,21,25,29,31,35,37,41,45,49,53,55,61,65,67,69,73,87,89 |
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