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# Precalculus Mathematics

I. Course Description

This is a 4credit hour course. The prerequisite for this course is qualification through
placement. The material for this course is precalculus: equations and inequalities, functions and
their graphs, exponential and logarithm functions, polynomial and rational functions,
trigonometric functions and analytic trigonometry. Students may not receive credit for both Math
111 and Math 115 or both Math112 and Math 115.

Goals and Learning Outcomes

The overall goal of Math 115 is to make students understand mathematical concepts using
real-world data and questions. The measurable learning outcomes used to determine the
degree to which this goal is being met follow: Students will solve linear and quadratic equations. Students will review the Cartesian plane: they will calculate the distance and midpoint
between two points. Students will plot graphs of equations. Students will be able to determine if a relationship is a function, if functions are one-to-
one, graph functions, and perform operations and composition of functions. Students will divide polynomials using both long and synthetic division. Students will factor polynomials, determine zeros of polynomials and graph polynomial
and rational functions. Students will graph exponential functions and their inverses, logarithmic functions. Students will use their properties to solve exponential and logarithmic equations Students will define trigonometric functions three ways. Students will graph trigonometric function and solve applications involving trigonometric functions. Students will verify trigonometric identities and solve trigonometric equations.

III Overall Structure of the Course:

1.1 Linear Equations

1.2 Applications Linear Equations

1.5 Linear Inequalities

1.6 Polynomial and Rational Equations

1.7 Absolute Value Equations and Inequalities

2.1 Cartesian Plane, Distance and Midpoint

2.2 Graphing Equations

2.3 Straight Lines

2.4 Circles

3.1 Functions

3.2 Graphs of Functions

3.3 Transformations

3.4 Operations with Functions and Composition

3.5 One-to-one Functions and Inverse Functions

4.2 Polynomial Functions of Higher Degree

4.3 Dividing Polynomials

4.4 Zeros of Polynomial Functions

4.5 Rational Functions

5.1 Exponential Functions

5.2 Exponential Functions with Base e

5.3 Logarithmic Function

5.4 Properties of Logarithms

5.5 Exponential and Logarithmic Functions

6.1 Angles, Degrees, and Triangles

6.2 Definition 1 of Trigonometric Functions: Right Triangle Ratios

6.3 Solving Right Triangles

6.4 Definition 2 of Trigonometric Functions: Cartesian Plane

6.5 Trigonometric Functions of Nonacute Angles

6.6 Radian Measure and Applications

6.7 Definition 3 of Trigonometric Functions: Unit Circle Approach

6.8 Graphs of Sine and Cosine Functions

6.9 Graphs of Other Trigonometric Functions

7.1 Basic Trigonometric Functions

7.2 Verifying Trigonometric Identities

7.3 Sum and Differences Identities

7.4 Double-Angle Identities

7.5 Half-Angle Identities

7.6 Product-to-Sum and Sum-to –Product Identities

7.7 Inverse trigonometric Functions

7.8 Trigonometric equations

8.1 Law of Sines

8.2 Law of Cosines

8.3 Area of a Triangle

VII Assessment and Grading

 Activity Value Daily Activities (homework, quizzes) 30% 3 Chapter Tests 15% each (45% total) Final Exam 25%

To get your final average in the class, do this:

.30(your daily activity points/total number of points) + .15(all your test points) + .25(your final exam grade)

 If your final average is . . . You will receive this grade in the course. . . 90 through 100 A 85 through 89 B+ 80 through 84 B 75 through 79 C+ 70 through 74 C 65 through 69 D+ 60 through 64 D 0 through 59 F

VIII Course Schedule

We’ll do our best to stick to this schedule, but we may get ahead or behind, depending on
how well the class understands the material. Homework is due by 11 pm on the Due Date. All
homework will be completed on WileyPLUS.

 Monday Tuesday Wednesday Thursday 8/20 Classes Begin Introduction (syllabus,WileyPLUS) Section 1.1 8/24 Section 1.2 8/25 Section 1.3 8/26 Section 1.4 Last day to register, change a schedule or drop a course without a grade of "W" 8/27 Section 1.5 Due: Assignment Zero and sections 1.1, 1.2, 1.3 8/31 Section 1.6 9/1 Section 1.7 Due: Sections1.4, 1.5, 1.6 9/2 Section 2.1 Quiz 1 (1.1, 1.2, 1.3) 9/3 Section 2.2 Due: Sections 1.7, 2.1 9/7 Labor Day—No Class 9/8 Section 2.3 Due: Section 2.2 9/9 Section 2.4 9/10 Section 3.1 Due: Sections 2.3, 2.4 9/14 Section 3.2 Quiz 2 (2.1, 2.2, 2.3) 9/15 Section 3.3 Due: Sections 3.1, 3.2 9/16 Section 3.4 9/17 Section 3.5 Due: Sections 3.3, 3.4 9/21 Review Exam 1 9/22 Exam1:Chapters1,2&3 Due: Section 3.5 9/23 Section 4.1 9/24 Section 4.2 Due: Section 4.1 9/28 Section 4.3 9/29 Section 4.4 Due: Sections 4.2, 4.3 9/30 Section 4.5 Quiz 3 (4.1, 4.2, 4.3) 10/1 Section 5.1 Last day to drop a course or withdraw without a grade of "WF" (Oct 2) Due: Sections 4.4, 4.5 10/5 Section 5.2 10/6 Section 5.3 Due: Sections 5.1, 5.2 10/7 Section 5.4 Quiz 4 (5.1, 5.2, 5.3) 10/8 Fall Break 10/12 Section 5.5 10/13 Review Exam 2 Due: Sections 5.3, 5.4 5.5 10/14 Exam 2: Chapters4&5 10/15 Section 6.1 10/19 Section 6.2 10/20 Section 6.3 Due: Section 6.1, 6.2 10/21 Section 6.4 Quiz 5 (6.1, 6.2, 6.3) 10/22 Section 6.5 Due: Sections 6.3, 6.4 10/26 Section 6.6 10/27 Section 6.7 Due: Sections 6.5, 6.6 10/28 Exercises 6.8 10/29 Section 6.9 Due: Sections 6.7,6.8 11/2 Section 7.1 11/3 Section 7.2 Due: Sections 6.9, 7.1 11/4 Section 7.3 11/5 Section 7.4 Due: Sections 7.2, 7.3 11/9 Section 7.5 11/10 Section 7.6 Due: Sections 7.4, 7.5 11/11 Section 7.7 Quiz 6 (7.1, 7.2, 7.3) 11/12 Section 7.8 Due: Sections 7.6, 7.7 11/16 Review Exam 3 11/17 Review Exam 3 Due: Sections 7.8 11/18 Exam 3:Chapters 6 \$7 11/19 Section 8.1 11/23 Section 8.2 11/24 Section 8.3 Due: Sections 8.1, 8.2 11/25 Thanksgiving 11/26 Thanksgiving 11/30 Advanced Topics 12/1 Advanced Topics Due: Section 8.3 12/2 Review for Final Exam 12/3 Review for Final Exam

Final Exam: Wednesday December 9, 2009 9:00 a.m. -11:30 a.m.

IX Where to get help

The Academic Success Center is a free tutoring lab, located on the second floor of Medford
Library. I will give you a handout with more information as soon as it’s available (probably
next week).

WileyPLUS Technical Support

WileyPLUS Two-Minute Tutorials

Student Solutions Manual/Additional Homework
If you feel like you need more practice, you may do homework from the textbook. WileyPLUS
provides a student solution manual that contains solutions to Algebra Aerobics and to the odd
numbered exercises. To access it, log in to WileyPLUS. Go to Read, Study and Practice. Choose
the appropriate chapter. Scroll down to Student Hints and Solution Manuals.