MATH 117, Accelerated Precalculus, Autumn, 2006

 

BULLETIN DESCRIPTION: Introduction to college algebra and trigonometry, including equations and inequalities; algebraic, exponential, logarithmic, and trigonometric functions; graphs; and complex numbers.  Credit will not be allowed for both MATH 117 and either MATH 121 or 122.  Prerequisite:  Satisfactory departmental placement or MDEV 003.

INSTRUCTOR: Dr. Kenneth L. Wiggins, 338 KRH, 527-2088, wiggke@wwc.edu

OFFICE HOURS: 2 TuWTh, 3 M, 11 F, Other Office hours by appointment

OBJECTIVES:  After finishing this course, the student should be able to

                1.             solve linear and quadratic inequalities and inequalities involving absolute values

                2.             solve linear and quadratic equations and equations in quadratic form

                3.             draw graphs of linear and quadratic equations and linear inequalities.

4.                    explain the concepts of a function and an inverse function

5.                    use polynomial, rational, exponential, logarithmic, and trigonometric functions

6.                    be able to verify trigonometric identities

7.                    be able to solve problems using logarithmic and trigonometric functions

 

TEXT: Precalculus, 2nd edition, by Beecher, Penna, and Bittinger, Addison-Wesley, 2005.  Important Note: The books at the College Store include computer access codes for MathXL that you will need and at no extra charge.  If you purchase your books elsewhere, and if the codes aren’t included, you will have to purchase these codes for about $30.


ASSESSMENT: All assessment will be based on both correctness and quality including the quality of your presentation.

Assessment Category

Weights

Homework & quizzes

12%

Three tests

53%

Final examination

35%

Grade

Percent

Grade

Percent

Grade

Percent

Grade

Percent

A

91-100%

B

83-85%

C

70-74%

D

58-61%

A-

89-90%

B-

80-82%

C-

65-69%

D-

55-57%

B+

86-88%

C+

75-79%

D+

62-64%

F

0-54%

HOMEWORK: The surest way to succeed in MATH 117 is to study each day. To aid you in your study, homework problems will be assigned each day.  Most of these will be done on MathXL, and these will be graded automatically; they do not need to be submitted to your instructor.  However, you will complete some assignments on paper, and these must be submitted to your instructor for grading.  Be sure to show your work neatly on these papers and to complete your work on time.   Please fold your homework lengthwise and label it as illustrated in the diagram on the left.

 

QUIZZES: Occasionally quizzes may be given over the lectures and homework.

 

TESTS: Three 50-minute examinations will be given during the quarter. These will cover the lectures and the homework, and you will take these tests without calculators.

 

FINAL EXAMINATION: This test is scheduled for 10-11:50 a.m., Tuesday, December 12.  Attendance is required, so make your travel plans early with this appointment in mind.

 

CLASS ATTENDANCE: Students are expected to attend all classes. In addition, students are expected to give their full attention to the class discussions, and to be courteous, respectful, and supportive of the learning environment.  Cell phones, computers, personal organizers, and all other electronic devices are not to be used by students during class.   Modifications in the homework assignments or test schedule may be announced in class.

 

DISABILITIES: If you have a physical and/or learning disability and require accommodations, please contact your instructor or the Special Services office at 527-2090. This syllabus is available in alternative print formats upon request. Please ask your instructor.

 

SPECIAL CONSIDERATION FOR EXTRA EFFORT:  Your lowest test grade will be dropped and replaced with your final examination grade if you meet the following conditions:  You must

·         Be present, on time, and attentive for at least 46 of the 49 scheduled class sessions

·         Turn in at least 95% of the homework.

·         Make a higher grade on the final examination than you did on your lowest test.

 

ACADEMIC INTEGRITY: See page 12 of http://www.wwc.edu/academics/bulletins/undergrad/2004-2006/03_academic_info.pdf .  Some collaboration on homework is allowed, but the work you submit for grading must be your own.  Any type of cheating on a test or examination, including but not limited to copying another student’s work or using unauthorized notes or electronic equipment, will result in a zero grade for the test or a failing grade for the quarter, and possibly further disciplinary action take by the Associate Vice President for Academic Administration.

 

MATH 117, Accelerated Precalculus, Autumn, 2006, Homework and Lecture Schedule

Week

Date

Topic

Assmt #

Exercises to Work

1

Sept 25

Introduction to graphing

H1

Section 1.1  Online MathXL

 

 

Functions and graphs

H2

Section 1.2 Online MathXL

 

 

Linear functions

H3

Section 1.3 Online MathXL

 

 

Equations of lines

H4

Section 1.4 Online MathXL

 

 

More functions

H5

Section 1.5 #4, 16, 27, 29, 30, 33, 35, 44, 77

2

Oct 2

Algebra of functions

H6

Section 1.6 Online MathXL

 

 

Symmetry and transformations

H7

Section 1.7 Online MathXL

 

 

Linear equations

H8

Section 2.1 #7, 9, 23, 25, 31, 33, 37, 42, 47, 54

 

 

Complex numbers

H9

Section 2.2 Online MathXL

 

 

Quadratic equations

H10

Section 2.3 Online MathXL

3

Oct 9

Catch-up/Review

 

Page 159 #1, 5, 7, 10, 11, 16, 17, 21, 23, 25, 27, 31, 34, 37, 41,  47, 53, 57, 61, 63, 66, 71, 72, 73, 74, 77, 79, 81; Page 238 #3, 13, 15,  35, 38, 43, 47, 59, 61

 

 

Test #1, Sections 1.1 through 2.3 Answers for test questions

 

 

 

Oct 11

Service Day – classes dismissed

 

 

 

 

Graphs

H11

Section 2.4 Online MathXL

 

 

More equations

H12

Section 2.5 # 4, 5, 7, 13, 19, 45, 59, 88, 101

4

Oct 16

Linear inequalities

H13

Section 2.6 Online MathXL

 

 

Polynomial functions

H14

Section 3.1 #2, 9, 11, 14, 16, 20, 25, 30, 46, 49, 70, 78

 

 

Remainder and Factor Theorems Synthetic Division Example

H15

Section 3.2 Online MathXL

 

 

Zeros of polynomials

H16

Section 3.3 #4, 15, 19, 33, 44, 50, 52, 56, 80, 96

 

 

Rational functions

H17

Section 3.4 #1, 2, 5, 11, 15, 20, 31, 53, 58, 70

5

Oct 23

Polynomial & rational inequalities

H18

Section 3.5 Online MathXL

 

 

Inverse functions

H20

Section 4.1 #5, 13, 19, 22, 28, 49, 62, 69, 74, 82, 87

 

 

Exponential functions and graphs

H21

Section 4.2 #4, 5, 6, 7, 10, 11, 12,  27, 41, 44, 58, 63

 

 

Logarithmic functions and graphs

H22

Section 4.3 Online MathXL

 

 

Properties of logarithmic functions

H23

Section 4.4 Online MathXL

6

Oct 30

Catch-up/Review

 

Pages 238-240 #19, 21, 23, 25, 29, 33, 57, 63, 73

Pages 324-327 #1, 3, 5, 7, 9, 11, 13, 19, 21, 23, 27, 31, 35, 39, 45, 47, 51, 59, 63, 69, 71

Pages 407-409 #7, 11, 13, 19, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 51, 53, 55, 59, 63, 67

 

 

Test #2, Sections 2.4 through 4.4 Anwers to Test #2

 

 

 

 

Exponential and logarithmic equations

H24

Section 4.5 Online MathXL

 

 

Applications

H25

Section 4.6 #1, 8, 10, 13

 

 

Trigonometric functions

H26

Section 5.1 Online MathXL

7

Nov 6

Right triangles

H27

Section 5.2 #1, 3, 5, 8, 11, 17, 20, 25, 26, 32, 44

 

 

Trigonometric functions

H28

Section 5.3 Online MathXL

 

 

Radians, arc length, angular speed

H29

Section 5.4 #1, 9, 18, 19, 21, 26, 29, 33, 39, 50, 51, 74, 83, 89, 99

 

 

Circular functions

H30

Section 5.5 Online MathXL

 

 

Graphs

H31

Section 5.6 #2, 4, 9, 10, 22, 33, 36, 46, 79, 94

8

Nov 13

Identities

H32

Section 6.1 Online MathXL

 

 

Test #3, Sections 4.5 through 5.6 Review suggestions Answer key

Review exercises to try – not assigned to hand in.

Page 389 #23, 25, 45; Page 410 #27, 28, 29, 30, 31, 32, 33; Pages 505-506 #1, 2, 3, 4, 5, 6, 7, 9, 11, 12, 13, 14, 15, 16, 17, 18, 20, 21, 22, 23, 24, 25

 

 

More identities

H33

Section 6.2 #2, 3b, 7, 10, 12, 15, 17, 23, 24, 27, 28, 32

 

 

Proving identities

H34

Section 6.3 #1, 4, 8, 9, 17, 29, 51

 

 

Inverse trigonometric functions

H35

Section 6.4 Online MathXL

 

Nov 19-25

Thanksgiving vacation

 

 

9

Nov 27

Trigonometric equations

H36

Section 6.5 Online MathXL

 

 

Law of Sines

H37

Section 7.1 #1, 3, 8, 17, 23, 27, 28

 

 

Law of Cosines

H38

Section 7.2 #1, 9, 17, 18, 27, 28, 30, 49

 

 

Review/catch-up Review suggestions

 

 

 

 

Test #4, Sections 6.1 through 7.2 Trig identities to know for the test Answer key

 

 

10

Dec 4

Complex numbers

H39

Section 7.3 Online MathXL

 

 

Polar coordinates

H40

Section 7.4 Online MathXL

 

 

Review

 

 

11

Tuesday, Dec 12

Final Examination 10-11:50 AM