Math 260, course outline

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Math 260, Pre-Calculus
Spring 2010
Pierce College
Mc Gann M
Text: Pre-Calculus with Unit Circle Trigonometry, 4th Edition, David Cohen
Room: 1416
Days: Mondays, Wednesdays
Time: 4:00 pm to 6:30 pm
Course Description:
Develops properties of the elementary functions, including exponential, logarithmic and trigonometric
functions. Graphing is stressed. Elements of analytic geometry including conic sections and sequences and
series are developed.
Student Learning Outcomes:
Upon successful completion of Pre-calculus (Math 260) the student will be able to:
1)
Choose the appropriate basic function (e.g. linear, exponential, trigonometric, power, etc.) to
model an applied situation and find the formula for that function.
2)
Given functions f(x), g(x), (defined by a formula, graph, table, and/or applied situation), evaluate
and interpret the expressions f(x + k), f(x) + k, kf(x), f(kx), and f(g(x)).
SLOs for this course will be assessed with a department wide course assessment tool developed by the
Math SLO faculty team assigned to the course.
Attendance Policy: This is a difficult class. Attendance at every session is essential for success.
Arrive on time and be present through the duration of class.
Homework:
Homework assignments will be given on a regular basis. You are responsible for completing these
assignments in a timely manner. Participation in class is essential.
Grades:
Grades are based on Chapter tests, quizzes, and a final exam. There will be five exams, each worth 15%.
You may elect to drop or not take one exam (except the final). Quizzes 15% and the final exam is worth
25%.
Note: There will be no make up exams or quizzes.
Calculators:
A graphing calculator is highly recommended. You may use a graphing calculator, but work must be
shown by hand as done in class. Cell phone calculators will not be permitted on quizzes, exams and the
final.
It may be possible to rent a TI - 83 from the Math department.
Office hours:
My office hours are from 3:00 pm to 4:00 pm in the room 1416 or by appointment. My phone number is ------------------- and my e-mail is mcgannm@lamission.edu. My website can be accessed at
lamission.edu~mcgannm.
Important Dates:
Feb. 12 to Feb. 15, President’s Day College closed
Note: Feb. 16 is not a school day
Spring break – March 29 to April 5, 2010
Cesar Chavez Holiday – March 31, 2010, College closed
Last day to drop with a “w” – May 7, 2010
Classes end – May 29, 2010
Memorial Day – May 21, 2010, College closed
Final Exam –
The following is a tentative schedule and may be adjusted as needed.
Topics to be Covered
Sections from Text
Equations of Lines
Chapter 1, Section 1.6
Quadratic Equations
Chapter 2
Inequalities
Sections 2.1, 2.2, 2.3, 2.4
;
Quiz #1
Dates Taught
Feb. 8, 10,
Functions
Graphing
Chapter 3
Sections 3.1, 3.2, 3.3, 3.4,
3.5, and 3.6
Inverse Functions
Test #1
Average Rate of Change
Applications of Quadratic Functions
Maximum and Minimum Problems
Chapter 4
Sections 4.2, 4.5, 4.6, 4.7
Polynomial Functions
Quiz #2
Feb. 17, 22
Feb. 24
March 1, 3
Rational Functions
Exponential Functions
Logarithmic Functions
Inequalities
Compound Interest Exponential Growth
Chapter 5
Sections 5.1, 5.2, 5.3, 5.4,
5.5, 5.6 and 5.7
Test #2
Spring Break
March 29 – April 5
March 8, 10, 15, 17,
Chapter 6
Sections 6.1, 6.2, 6.3, 6.4, 6.5
Trigonometric Functions
March 22, 24
Radian Measure
Quiz #3
Functions of Angles
Right triangle Trigonometry
Graphs of Trigonometric Functions
Chapter 7
Graphs of Sine and Cosine
Sections 7.1, 7.2, 7.3, and 7.5
April 7, 12, 14
Graphs of Tangent and Reciprocal Functions
Test #3
April 19, 21, 26
Analytical Trigonometry
Chapter 8
Sections 8.1, 8.2, 8.3, 8.4, and
8.5
Addition Formulas
Double angle Formulas
Inverse Trigonometric Functions
Quiz #4
Law of Sines and Law of Cosines
Chapter 9
Section 9.2, 9.6
April 28
May 3, 5
Introduction to Polar Coordinates
Test #4
Chapter 11
Sections 11.2, 11.4, 11.5
Conic Sections
May 5, 10
Parabola
Quiz #5
Ellipse
Hyperbola
Sequences and Series
Chapter 13
Sections 13.3, 13.4, and 13.5
May 12, 17, 19
Arithmetic Sequence and Series
Geometric Sequences and Series
Test #5
Review for Final
May 24, 26
Final Exam
June 2
Homework Assignments:
Chapter 1:
Section 1.6
Page 52
15 – 35 odd, 39, 49
Chapter 2:
Section 2.1
Section 2.2
Section 2.3
Section 2.4
Page 88
Page 100
Page 110
Page 119
5, 7, 9, 21, 29, 31, 37, 41, 43, 45, 49
1 – 9 odd, 15 – 58 divisible by 3, 61 – 71 odd
1 – 21 odd
1 – 60 divisible by 3
Chapter 3:
Section 3.1
Section 3.2
Section 3.3
Section 3.4
Section 3.5
Section 3.6
Page 140
Page 153
Page 166
Page 178
Page 189
Page 203
5, 6, 7, 9 – 25 odd, 29, 37, 55, 57
1 – 14 all, 15, 17, 23, 25, 27, 33, 35
3 – 6 all, 9 – 15 odd, 21, 23, 25, 27, 41, 43
3 – 39 odd
9 – 15 odd, 23, 27
3, 7, 9 – 17 odd, 25, 27, 43, 45
Chapter 4:
Section 4.2
Section 4.5
Section 4.6
Section 4.7
Page 239
Page 280
Page 299
Page 313
5 – 29 odd, 57 – 62 all
1 – 17 odd, 23, 27, 31
5 – 15 odd, 17, 19, 27 – 39 odd
1 – 7 part a) odd, 9 – 29 odd, 37, 39, 41
Chapter 5:
Section 5.1
Section 5.2
Section 5.3
Section 5.4
Section 5.5
Section 5.6
Section 5.7
Page 334
Page 342
Page 356
Page 368
Page 380
Page 391
Page 405
3 – 41 odd, 45, 47
11 – 19 odd, 21
1 – 4 all, 9, 11, 15, 17, 19, 21, 25, 33 – 39 part b).
1 – 19 odd, 23, 25, 27 – 35 odd, 41, 43, 45, 63
1 – 43 odd, 75
1 – 11 odd
1 – 4 all
Chapter 6:
Section 6.1
Section 6.2
Section 6.3
Section 6.4
Section 6.5
Page 432
Page 446
Page 455
Page 467
Page 478
1 – 11 odd, 17, 19, 21, 27
1 – 21 odd, 23, 25, 27, 29, 59 – 73 odd
7 – 21 odd, 27, 29
1 – 17 odd, 19 – 31 odd, 39, 41, 45, 47, 53, 61
1 – 11 odd, 13, 15, 21, 25, 27, 35
Chapter 7:
Section 7.1
Section 7.2
Section 7.3
Section 7.5
Page 505
Page 519
Page 533
Page 555
1 – 9 odd, 43, 45, 47, 49
1 – 7 odd
13 – 29 odd
1 – 11odd
Chapter 8:
Section 8.1
Section 8.2
Section 8.3
Section 8.4
Section 8.5
Page 570
Page 581
Page 589
Page 602
Page 618
1 – 9 odd, 11, 13, 25, 29, 35, 43, 49 – 57 odd
1 – 7 odd, 9, 11, 17 – 23 odd, 25, 27, 35, 37
1 – 37 odd
1 – 21 odd, 53 – 71 odd
1 – 19 odd, 25 – 33 odd, 47, 49
Chapter 9:
Section 9.2
Section 9.6
Page 659
Page 708
19 – 23 all
1 – 29 odd
Chapter 11:
Section 11.2
Section 11.4
Section 11.5
Page 835
Page 851
Page 864
1 21 odd, 29, 31, 33
1- 23 odd, 25 – 35 odd
1 – 23 odd, 27, 29, 31
Chapter 13:
Section 13.3
Section 13.4
Section 13.4
Page 996
Page 1004
Page 1014
1 – 21 odd, 41 – 51 odd
1 – 21 odd
1 – 21 odd
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