Mathematics 153 – College Algebra & Trigonometry                                                Spring- 2006

Credit: 3 Hours

Instructor:  Dr. peter Agbakpe                                                      

E-mail:                pagbakpe@nsu.edu

Office:                B-104

Phone:                (757)823-9570

Class Meeting: (days, hours, building and room)

Office Hours: MW 4:00 – 5:00 pm, TR 1:30 – 3:30 pm, F 10:00 – 12:00 noon.                     

agbakpe74503

Prerequisites:

Completion of MTH 151 with a minimum grade of “C” or demonstrated competency per the Placement Test.

 

Course Description:

An extension of algebra topics from MTH 151 and a treatment of trigonometry necessary for the study of advanced subjects in mathematics and sciences. A special emphasis is given to exponential and logarithmic functions, trigonometric functions, trigonometric identities, and trigonometric applications necessary for the study of advanced subjects in mathematics and the sciences.

 

Course Rationale:
This is an introductory course that provides the foundation for science and engineering applications and preparation for the calculus sequence and other courses in mathematics.

 

Course Materials / required text / supplementary readings:

                                                                                                                                                       

Text:  Lial, Hornsby, and Schneider. College Algebra and Trigonometry, Third Edition. Houghton Mifflin.  ISBN #0-321-22763-8

 

Additional Material(s) Required: Students are required to have an Access Account to use the“MyMath Lab” website (http://students.pearsoned.com) for assignments, practice tests and lab-tests. They are also required to use a Graphing Calculator; TI-83 is recommended.

 

Supplementary Material Available:

MyMathLab is accessible via internet at the official website of Addison-Wesley Publishing at http://www.coursecompass.com. MyMathLab “is a dynamic, interactive online teaching and learning environment that provides instructors and students with access to rich online course materials complementing Pearson Higher Learning textbooks.” It includes video lectures for the entire course, audio clips, animations, 24 hour on-line tutoring, and practice tests. Additional resources are also available on the NSU Web-Site at http://sst.nsu.edu/.

 

Evaluation and Grading Standards

Final grades will be determined as follows:

 

 

 

Grades Assigned:

4 Exams

50%

 

 

A: 90 and above

Lab Assignments  (Min 70% Passing Score)    

15%

 

 

B: 80 – 89

Quizzes / Homework

15%

 

 

C: 70 – 79

Departmental Final Exam    

20%

 

 

D: 60 – 69

                       

100%

 

 

F: 59 and below       

 

Note: The instructor reserves the right to revise the grading criteria as appropriate and will make reasonable attempts to notify students as time permits.

Date of Final Exams: Tuesday, May 2, 5:45 – 7:45 pm

 

Primary Methods of Instruction:

The primary methods of instruction include lectures, class discussion, group discussion, computer assisted homework assignments, tutoring and online tests.

Course Goals / Measurable Intended Student Learning Outcomes

I.  Exponential and Logarithmic Functions (Chapter 4)

1.        Use a calculator to evaluate exponential expressions.

2.        Sketch the graph of exponential functions.

3.        Solve selected application problems.

4.        Evaluate logarithmic expressions without the use of a calculator.

5.        Use the definition of a logarithmic to write a given equation in logarithm form.

6.        Use a calculator to evaluate a logarithm.

7.        Sketch the graph of logarithmic functions.

8.        Use the change of base formula to write logarithms as a multiple of common and natural logarithms.

9.        Evaluate logarithms using the change of base formula.

10.     Use the properties of logarithms to write expressions as a sum, difference, and/or multiple of logarithms.

11.     Write logarithmic expressions as the logarithm of a single quantity.

12.     Approximate the value of logarithms using the properties of logarithms.

13.     Use the properties of logarithms to simplify logarithmic expressions.

14.     Solve exponential and logarithmic equations, and selected application problems.

 

 II. Trigonometry (Chapter 5, Chapter 6, Chapter 7)

1.        Sketch an angle in standard position and determine the quadrant in which the terminal side of the angle lies.

2.        Determine two coterminal angles (one positive, one negative) for angles given in degrees or radians.

3.        Find the complement and supplement of angles.

4.        Change angles from degree to radian measure and vice versa.

5.        Use the formula q = s/r to solve selected application problems.

6.        Find the exact value of the six trigonometric functions of a specified angle in a given triangle.

7.        Sketch a right triangle corresponding to the trigonometric function of given acute angles.

8.        Use given functional values and trigonometric identities to find trigonometric functions.

9.        Evaluate the trigonometric function by memory or by constructing an appropriate triangle.

10.     Use a calculator to evaluate trigonometric functions.

11.     Solve selected application problems.

12.     Determine the exact value of the six trigonometric functions given a coordinate point.

13.     Find the reference angle of a given angle.

14.     Evaluate the sine, cosine, and tangent of angles without using a calculator.

15.     Use a calculator to evaluate trigonometric functions to four decimal places.

16.     Graph the basic sine, cosine, and tangent functions.

17.     Determine the amplitude, period, phase shift, and vertical shift of functions.

18.     Sketch the graph of functions in the form y = a sin(bx - c) + d.

19.     Evaluate inverse trigonometric functions with and without the aid of a calculator.

20.     Use the properties of inverse trigonometric functions to evaluate expressions.

21.     Solve appropriate application problems employing angles of depression and elevation.

23.  Use the fundamental identities to evaluate other trigonometric functions.

24.  Use the fundamental identities to simplify expressions.

25.     Factor, multiply, add, and subtract trigonometric expressions, then use the fundamental identities to simplify.

26.     Verify trigonometric identities.

27.     Solve various trigonometric equations.

28.     Use the sum and difference identities to find the exact values of the sine, cosine and tangent of selected angles.

29.     Use the double-angle identity to rewrite functions.

30.     Use the half-angle formulas to simplify expressions.

31.     Use the product-to-sum and sum-to-product formulas appropriately.

 

III. Additional Topics in Trigonometry (Chapter 8)

1.        Use the Laws of Sines and Cosines to solve oblique triangles.

2.        Use the Laws of Sines and Cosines to solve selected application problems

Course outline:

 

 Chapter                                                         Topics                                                                                 Sections

 

 4

 

Exponential and Logarithmic Functions

1. Exponential Functions

2. Logarithmic Functions

3. Properties of Logarithms

4. Exponential and Logarithmic Equations

5. Exponential and Logarithmic Models

 

4.2~4.6

 

5

 

Trigonometric Functions

1. Angles

2. Trigonometric Functions

3. Evaluating Trigonometric Functions

4. Solving Right Triangles

 

 

5.1 ~ 5.4

 

6

 

The Circular Functions and Their Graphs

1. Radian Measure

2. The Unit Circle and Circular Functions

3. Graphs of the Sine and Cosine Functions

4. Graphs of Other Circular Functions

 

 

6.1 ~ 6.4

 

7

 

 

 

 

 

 

 

Trigonometric Identities and Equations

1. Fundamental Identities

2. Verifying Trigonometric Identities

3. Sum and Difference Identities

4. Double-Angle Identities and Half-Angle Identities

5. Inverse Circular Functions

6.Trigonometric Equations

 

 

7.1~ 7.6

   

    8

 

Applications of Trigonometry

1. The Law of Sines

2. The Law of Cosines

 

 

8.1, 8.2

 

 

 

Related University-Wide and Course- Specific Requirements

 

  • Information Technology Literacy: The student will explore various websites to gain a better understanding of math concepts and problems. The student is also required to do math labs on line. Students are encouraged to communicate (outside of class) with the professor or classmates through electronic means.
  • Quantitative Reasoning:  Most of the math concepts have applications that require quantitative reasoning.
  • Scientific Reasoning:  Most of the math applications require the use of scientific reasoning.
  • Oral Communication: The student demonstrates this through classroom discussions and explanations at the board.
  • Critical Thinking:  Most of the math concepts and applications require critical thinking.
  • Other Requirements: The student is required to do the Math Lab assignments project for the course.

 

 

Final Examination Date and Time:

 

Requirements for the Student:

1.        The student should pre-study (read) all new topics before they are presented in class.  You are expected to complete daily homework assignments by the time class meets the first time following discussion of lesson material in the classroom. The instructor will ascertain the daily progress in accomplishing homework exercises and will devote a portion of classroom activities to the solution of any troublesome exercises”.

2.        Separate notebooks should be maintained for classroom discussion notes and homework exercises.

3.        Carefully complete all homework assignments.  A minimum of two hours outside the class preparing for each hour of class is necessary for learning and proper understanding of the material.

4.        Students are strongly encouraged to participate in classroom discussions.

5.        Tests will be administered during the course; also the student can expect random quizzes; a departmental final examination will also be given.

6.        All cell phones, pages, etc. must be turned off  before entering the classroom.

 

Academic Integrity Policies / Attendance Policy

Students are expected to attend all class sessions. Missing 20% or more of such sessions may result in an automatic failing grade. Those individuals who choose not to show up for class by the end of the third week will be deleted from the roster.  Further information regarding academic or academically related misconducts, and disciplinary procedures and sanctions regarding such conducts, may be obtained by consulting the NSU Student Handbook. Also, see attachment for additional information regarding this class.

 

Attendance will be taken daily. Students are expected to attend all class sessions. Any student not attending class for the first 3-weeks of the semester will be officially dropped from the roster, as having never attended class. Missing 20% or more of such sessions may result in an automatic failing grade. 

 

americans with disabilities act (ADA) statement

In accordance with Section 504 of the 1973 Rehabilitation Act and the Americans with Disabilities Act (ADA) of 1990, if you have a disability or think you have a disability, contact Supporting Students through Disability Services (SSDS) for information regarding programs and services to enhance student success.

 

Location:  2nd floor, Lyman Beecher Brooks Library Room 240
Contact Person:  Marian E. Shepherd, Disability Services Coordinator
Phone Number:             757-823-2014

 

UNIVERSITY ASSESSMENT STATEMENT

As part of NSU’s commitment to provide the environment and resources needed for success, students may be required to participate in a number of university-wide assessment activities. The activities may include tests, surveys, focus groups and interviews, and portfolio reviews. The primary purpose of the assessment activities is to determine the extent to which the university’s programs and services maintain a high level of quality and meet the needs of students. Students will not be identified in the analysis of results. Unless indicated otherwise by the instructor, results from university assessment activities will not be computed in student grades.

 

                                               


MATH-153 College Algebra/Trigonometry

Laboratory Test Assessment Form (LTAF)

 

Student Name : __________________                         Instructor : ________________________

 

Student ID : _____________________                         Section: ___________________________

 

 

Lab Test

Contents

Due Date

Student Signature with date

Completed (Proctor Signature/ Date)

1a.
1b.

- Exponential Functions

- Logarithmic Functions

- Evaluating Logarithms and the

  Chang of Base Theorem          

End of Week 2

 

 

2.

- Exponential and Logarithmic

   Equations

- Applications and Models of

   Exponential Growth and Decay

End of Week 4

 

 

IN CLASS TEST 1 –Week 4

3.

- Angles

- Trigonometric Functions

End of Week 6

 

 

4.

- Evaluating Trigonometric Functions

- Solving Right Triangles

End of Week 7

 

 

IN CLASS TEST 2 – Week 7

5.

- Radian Measure

- The Unit Circle and Circular

   Functions   

End of Week 9

 

 

6.

- Graphs of the Since and Cosine

   Functions

- Graphs of the other Circular

   Functions

End of Week 9

 

 

IN CLASS TEST 3 – Week 10

7.

- Fundamental Identities

- Verifying Trigonometric Identities

End of Week 11

 

 

8.

- Sum and Difference Identities

- Double Angle Identities and Half

  Angle Identities

- Inverse Circular Functions

End of Week 12

 

 

9.

- Trigonometric Equations

- Equations Involving Inverse

- Trigonometric F

End of Week 13

 

 

IN CLASS TEST 4 – Week 15

10.

The Law of Sines

The law of Cosines

Trig Form of Complex Number

End of Week 15

 

 

 

OVERALL COURSE OBJECTIVES:

At the completion of this course, each student should be able to:

·      Recall and/or recognize logarithmic and trigonometric functions, identities, facts and symbols.

·      Perform logarithmic and trigonometric manipulations with understanding, accuracy and efficiency.

·      Analyze and solve application problems.

·      Use the graphics calculator for enhancement.

·      Appreciate logarithms for solving unconventional equations.

·      Appreciate trigonometry for its beauty and power to solve application problems.