Mathematics & Computer Science Department                                           egreen@ngcsu.edu

Dr. Green                                                                                                              Newton Oakes 222

Math 1113 Syllabus                                                                                            (706) 864-1809

Precalculus                                                                  Office Hours:               9:00 – 11:00  MWF,  1:15 – 2:15   TR

Fall 2009                                                                                                               4:30 – 5:30  MW, or by appointment

 

Prerequisite:  None

 

Catalog Description:  An intensive course that focuses on applications of the functions, concepts, and methods necessary for success in calculus.  Topics include exponential and logarithmic functions, trigonometric and inverse trigonometric functions, right triangle trigonometry, trigonometric identities and equations, oblique triangles, complex numbers, and parametric equations.

 

Course Objectives:  After completion of the course the student will be able to:

·         Apply a variety of problem-solving strategies including algebraic, numerical, and graphical techniques to solve polynomial, rational, exponential, logarithmic, and trigonometric equations;

·         Apply algebraic, numerical, and graphical techniques to solve quadratic, absolute value, and rational inequalities;

·         Apply the properties of exponents and logarithms;

·         Apply knowledge of vertical and horizontal asymptotes to curve sketching;

·         Apply trigonometric ratios and Pythagorean, double, half-angle, sum, difference, and co-function identities;

·         Apply properties of geometric transformations to analyze the graphs of functions;

·         Apply the Law of Sines and the Law of Cosines to solve for the unknown sides or angles of a triangle;  

·         Find powers and roots of complex numbers;

·         Evaluate inverse trigonometric functions graphically, numerically, and algebraically;

·         Apply parametric equations and sketch their graphs; and

·         Represent and solve real-world problems using equations.

 

 

Methods of Instruction:  The methods of instruction are determined by the instructor; however, the instructor is expected to use a variety of methods.  These methods may include, but are not limited to lecture; problem-solving sessions with informal assessment by the student or instructor; discussion; group projects; timely feedback from test, quiz, or project results (formative assessment); question and answer; computer or calculator based explorations; and student presentations.  Students will be encouraged to assess and monitor their own problem-solving process to determine when an error has been made or a new strategy should be used.

 

Metacognitive Model and Teacher Education Program Competencies:   

The NGCSU Secondary Mathematics Education Program prepares teachers to assume within the school community the roles of Decision-Maker, Facilitator, and Leader as identified in the metacognitive model.  Twelve Teacher Education Program competencies reflecting the model are aligned to a specific role.  Overlap into more than one role and mathematics course may occur.  Current research and professional standards identify these competencies as important for effective teaching (NBPTS and ASCD Framework). 

 

Decision-Maker

Facilitator

Leader

Assessment

Individual Differences

Ethical Perspectives

Planning

Subject Matter Knowledge

Reflection/Metacognition

Problem Solver

Communication

Professional Leadership

Methods, Materials, Resources

Classroom Management

Research & Evaluation

 

 

Evaluation:  See Calendar for test dates

 

                Question of the week total will count as one test grade

                2 extra credit computer projects will be given.  Points earned will be added to a test grade.

Test Average:  2/3 or 1/3   (See calendar for test dates)

                Final Exam:  1/3 or 2/3        (The greater of your test average and final exam automatically counts 2/3)

 

 

 

Course Content:  See Calendar.

 

Knowledge Base: 

 

1.  Required Text:  At the level of Stewart, Redlin & Watson, Precalculus, Mathematics for Calculus, 5th edition, Brooks/Cole; 2006.   (Chapter 2, sections 4,5 and 8; Chapters 4, 5, 6, 7; Chapter 8, section 3; Chapter 10, section 7)

 

2.  Optional Text:  Student Solutions Manual

 

3.  Library Resources: 

·         Krantz, Steven (ed.) Dictionary of Algebra, Arithmetic, and Trigonometry, CRC Press; 2001.

·         Maor, Eli. Trigonometric Delights, Princeton University Press; 1998.

·         Demana, et. al. Graphing Calculator Resource Manual, Addison-Wesley; 1997.

·         Demana, Waits, and Clemens. Precalculus Mathematics: A Graphing Approach, Addison-Wesley; 1994.

·         Women and Science Celebrating Achievements Charting Challenges (National Science Foundation, 1997)

·         Multicultural and Gender Equity in the Mathematics Classroom: The Gift of Diversity (Janet Trentacosta & J. Kenney, Eds., NCTM, 1997)

 

 

4.  Web-Based Resources:   

·         Association for Women in Mathematics - http://www.awm-math.org

·         Algebra Help - http://www.purplemath.com

·         Math Archives - http://archives.math.utk.edu

·         The Math Forum - http://mathforum.org

·         Steve’s Dump - http://mathforum.org/~steve/index.html#browse

·         Waterloo Maple’s Student Center - http://www.maplesoft.com/academic/students/index.asp

·         Texas Instruments - http://education.ti.com/educationportal

·         Key Curriculum Press – http://www.keypress.com

·         Eric Weisstein’s World of Mathematics (Encyclopedia of Mathematics) - http://mathworld.wolfram.com

·         SOS Mathematics – http://www.sosmath.com

·         Transformations - http://www.utc.edu/Faculty/Christopher-Mawata

·         Intermath – http://www.intermath-uga.gatech.edu

·         The Geometry Center - http://www.geom.uiuc.edu

·         Project Interactivate - http://www.shodor.org/interactivate

·         Women in Mathematics - http://www.agnesscott.edu/lriddle/women/women.htm

 

 

5.        Technology Resources:     

·          Graphing calculator. Texas Instruments, Hewlett-Packard, Casio, et. al.

·         Calculator-Based Laboratory (CBL). Texas Instruments.

·         Calculator-Based Ranger (CBR). Texas Instruments.

·         Maple. Waterloo Maple, Inc.

 

General Expectations:  The student is expected to abide by the university’s attendance policy and honor code.  The instructor reserves the right to use any means necessary to detect cheating and/or plagiarism.

 

Disabilities and Accommodations.  North Georgia College and State University is committed to equal access to its programs, services and activities for people with disabilities.  If you believe that you have a disability requiring an accommodation, reasonable prior notice needs to be given to the instructor and the Office of Student Disability Resources.  In this case, contact Elizabeth McIntosh, Coordinator, Student Disability Resources at 122 Barnes Hall, 867-2782, emcintosh@ngcsu.edu.

 

Class Evaluations:  Class evaluations at NGCSU are now conducted on-line through Banner.  Evaluation of the class is considered a component of the course and students will not be permitted to access their course grade until the evaluation has been completed.  The evaluations will be accessible beginning one week prior to Final Exam week.

 

 

 

Math 1113           Fall Semester 2009

 

Monday

Tuesday

Wednesday

Thursday

Friday

August 17

 

 

18

19

20

2.8

21

24

25

4.1

26

27

4.2

QOTW

28

31

September 1

4.3

2

3

4.3, 4.4

QOTW

4

7

Labor Day

 

8

4.4, 4.5

9

10

4.5, 6.1

QOTW

11

14

 

 

15

Review

 

16

17

Test 1

18

21

 

 

22

6.2

23

24

6.2, 6.3

QOTW

25

28

 

 

29

6.3

30

October 1

6.3, 6.4

QOTW

2

5

 

 

6

6.4, 6.5

7

8

6.5, 5.1

QOTW

9

Fall Break

12

13

5.2, 5.3

14

15

5.3

QOTW

16

19

20

Review

21

22

Test 2

23

26

27

5.4

 

28

29

7.1

QOTW

30

November 2

 

 

3

7.2

4

5

7.3

QOTW

6

9

 

 

10

7.4

11

12

7.5

QOTW

13

16

17

8.3

 

18

19

Review

QOTW

20

23

24

Test 3

25

26

Thanksgiving Holiday

27

30

December 1

Review

2

Academic Review Day

3

4

7

8

Final Exam

1:00 – 3:00

9

10

11

 

 

MATH 1113 Assignment Sheet

                                                                                            Text:  Stewart, Redlin & Watson, Precalculus, 5th ed.

Lesson #

Read

Assigned Problems

Unit A:  Graphs of functions and Inverses of One-to-one Functions

A1

2.4

p. 190 / 1 – 47 odd, 51, 53, 61- 69 odd

A2

2.8

p. 230 / 1 – 57 odd, 61, 63, 65

Unit B: Exponential and Logarithmic Functions

B1

4.1

p. 336 / 1 – 43 odd, 51, 65, 67, 70, 75

B2

4.2

p. 349 / 1 – 63 odd, 73, 79, 81

B3

4.3

p. 356 / 1 – 59 odd, 65, 66

B4

4.4

p. 366 / 1 – 59 odd, 65, 67, 75, 77, 82

B5

4.5

p. 379 / 1 – 37 odd

Unit C:  Trigonometric Functions of Real Numbers

C1

5.1

p. 406 / 1 – 31 odd, 51

C2

5.2

p. 416 / 1 – 79 odd

C3

5.3

p. 429 / 1 – 63 odd, 75, 77

C4

5.4

p. 441 / 1 – 11 odd, 17, 21, 25, 27, 33,37, 39, 41, 47, 51, 55

Unit D:  Trigonometric Functions of Angles

D1

6.1

p. 474 / 1 – 55 odd, 70, 71, 73, 77, 80

D2

6.2

p. 484 / 1 – 63 odd

D3

6.3

p. 495 / 1 – 51 odd, 61

D4

6.4

p. 506 / 1 – 39 odd

D5

6.5

p. 513 / 1 – 21 odd, 37 – 49 odd

Unit E:  Analytic Trigonometry

E1

7.1

p. 533 / 1 – 63 odd, 67, 73, 77, 89

E2

7.2

p. 539 / 1 – 37 odd, 50a

E3

7.3

p. 548 / 1 – 39 odd, 59, 61, 65, 91

E4

7.4

p. 557 / 1 – 55 odd

E5

7.5

p. 568 / 1 – 51 odd, 65, 67, 83

E6

8.3

p. 603 / 1 – 67 odd, 71, 73, 77, 79, 83, 87

E7

10.7

p. 807 / 1 – 27 odd, 31 – 39 odd