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ALGEBRA I HELP TURNING RATIONAL EQUATIONS INTO LINEAR EQUATIONS
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Syllabus  Math 109, Section 3, Spring 2006  
10:00am MTRF CCC 111

Instructor:  Maggie Olson          Office:  SCI D260

 

Office Hours:    11am 12:50pm MTRF   Other times by discovery or appointment

 

Email:   or  (home)          Phone:  346-4124

 

Course Web Site

Math Tutoring Room: A113 Science #2961, 9 am - 4 pm, 7 pm - 9 pm, Monday-Thursday   Schedule

 

Math Review Software: On any campus Windows XP SCL (Student Campus Load), review software is located at Start-All Programs-Network Menu-Network Programs-Mathematics and thenGF Intermediate Algebra 7e

 

The Learning Center Tutoring: The Tutoring-Learning Center will be offering evening group tutorials.  An email will be sent some time within the first few weeks of the semester to announce time and location.  

 

Text: College Mathematics, 10th Edition, 2005, with Barnett, Ziegler and Byleen, ISBN 0-13-143209-5

 

Prerequisites:  Math 100 or suitable placement score.

 

Final Exam:  Thursday May 18th 14:45-16:45 

 

Fundamental Skills to be Learned: 

  • Recognizing real life situations where mathematical models apply.
  • Translating the real life situations into mathematical models.
  • Solving the mathematical model.
  • Interpreting the solution in the context of the real life situation.

Attendance: 
Regular attendance is required.  If you are ill, I expect you to make a reasonable effort to come to class. When illness or other emergencies require absence from class, I expect you to contact me immediately, preferably by email.  I expect you to keep up with what is being taught by following in your book and doing the homework.  Late exams or quizzes will not be given for unexcused absences.  Exam and quiz grades for unexcused absences will be zero. 

Grading:  Semester grades will be assigned using the following weighted averages:
Final Exam:  20%            4 Exams: 60% (15% each)             Quizzes:  20% 

Final semester letter grades will be assigned as follows

93-100

A

77-79

C+

90-92

A-

73-76

C

87-89

B+

70-72

C-

83-86

B

67-69

D+

80-82

B-

60-66

D

 

 

BELOW 60

F

Homework:
Homework will be assigned daily.  Daily assignments are posted on my web site.  You will be expected to have assignments completed prior to class time.  Your key to success in Math 109 will be a diligent effort to prepare for class, doing careful complete homework, and asking any and all questions you have during class.  I will check homework via weekly quizzes.  Always show all your work.

Quizzes:
I will give quizzes based on the homework about once a week (except for weeks when there is an exam).  I plan to have ten quizzes over the course of the semester (see proposed schedule).  I will drop the lowest two quiz scores.  The remaining 8 grades will count 2.5% each, making a total of 20% of your grade for the course.  These quizzes may take place during class time on Friday (10-15 minutes or so) OR I might hand the quiz out on Thursday and you will be asked to hand it in on Friday at the beginning of class.  Clearly, then, it will be vitally important to be in class both of those days!

Calculators
Calculators: You may use any four-function, scientific, or graphing calculator, except calculators including pocket organizers, handheld or laptop computers, electronic writing pads or pen-input devices (the Sharp EL 9600 is permitted), calculators built into cellular phones or other wireless communication devices, calculators with a typewriter keypad with keys in QWERTY format (calculators with letter keys not in QWERTY format are permitted), calculators with built-in computer algebra systems, prohibited calculators in this category include: Casio: Algebra fx 2.0, ClassPad 300, and all model numbers that begin with CFX-9970G, Texas Instruments: All model numbers that begin with TI-89 or TI-92, Hewlett-Packard: hp 48GII and all model numbers that begin with hp 40G or hp 49G.  Calculators which have been modified such as calculators with paper tape (remove the tape), calculators that make noise (turn off the sound feature), calculators that can communicate wirelessly with other calculators (completely cover the infrared data port with heavy opaque material, such as duct tape or electrician's tape (includes Hewlett-Packard HP-38G series and HP-48G)), calculators that have power cords (remove all power/electrical cords) are acceptable.

Homework Problems

The homework assignments listed on the assignment sheet may be modified slightly as we go.  I will post the assignment sheet on-line on my website and will keep it updated as need be.

 

Help

Everyone needs help from time to time.  The key to to get help right awaywhen you need it!  Here are some ways to get help:

  • Ask a question in class
  • Ask me during office hours
  • Ask me in an email
  • Get help in the Math Room (SCI A113A)
  • Study with others
  • Go to the group tutoring

 

Disability Accommodations

Reasonable accommodations are available for students who have a documented disability.  Please notify me during the first week of class of any accommodations needed for the course.  All accommodations must be approved through Disability Services, located at 103 Student Services Center or.


 

MATH 109  Section 3                TOPICS & ASSIGNMENT SHEET           Spring 2006

 

Note: Assigned problems, quizzes and exam times are subject to change.

 

An * indicates that the topic is optional and will be covered at my discretion.

 

Self-Test on Basic Algebra (969)                                     1-23, 15-35, 38-58 Page 969

A-1: Algebra and the Real Numbers (971)                         1-35 odds, 39, 40 Page 976                   

A-2: Operations on Polynomials (977)                                          1-43 odds, 57, 59, 61 Page 984              

A-3: Factoring Polynomials (985)                                     1-47 odds Page 991

A-4: Operations on Rational Expressions (992)                             1-19 odds Page 997

A-5: Integer Exponents and Scientific Notation (998)                     1-37 odds, 47, 49, 59, 65 Page 1002

A-6: Rational Exponents and Radicals (1004)                               1-39 odds, 55, 57,59 Page 1010

A-7: Linear Equations and Inequalities in One Variable (1011)        1-31 odds, 53, 63, 65 Page 1019

A-8: Quadratic Equations (1021)                                      1-21 odds, 43, 47, 48 Page 1030

 

1-1 Functions (3)                                                                        1-41 odds, 79, 81, 83, 89, 90 Page 18

1-3 Linear Functions and Straight Lines (35)                                 1-45 odds, 57, 59, 71 Page 49

1-4 Quadratic Functions (53)                                                       1-27 odds, 53, 61 Page 64

 

2-1 Polynomial and Rational Functions (79)                                  1-27 odds, 57, 65, 68 Page 90

2-2 Exponential Functions (95)                                                    1-23 odds, 61, 75, 79 Page 106

2-3 Logarithmic Functions (109)                                                  1-59 odds, 93,101,105 Page 119

 

3-1 Simple Interest (131)                                                 1-17 odds, 19 Page 136

3-2 Compound Interest (139)                                                       1-19 odds, 35 Page 148

3-3 Future Value Annuity: Sinking Funds (152)                             1-17 odds, 13 Page 159 

3-4 Present Value Annuity: Amortization (161)                              1-15 odds, 13 Page 171

 

9-1 Introduction to Limits (542)                                                    1-23 odds, 71, 77, 79 Page 554

9-2 Continuity (558)                                                                    1-19 odds, 71, 79, 80 Page 566

9-3 The Derivative (570)                                                               1-23 odds, 59, 67, 69 Page 583

9-4 Power Rule (586)                                                                  1-41 odds, 81, 87, 89 Page 593

9-5 Derivatives of Products and Quotients (596)                            1-37 odds, 65, 69, 71 Page 602

9-6 Chain Rule (604)                                                                   1-41 odds, 75, 81, 83 Page 610

* 9-7: Marginal Analysis                                                              TBA

 

10-1 First Derivative and Graphs (635)                                          1-17 odds, 85, 93, 95 Page 648

10-2 Second Derivative and Graphs (653)                         1-17 odds, 59, 71, 73 Page 664

10-3 Graphing Rational Functions (669)                                        1-13 odds, 69, 79, 81 Page 681

10-4 Absolute Maximum and Minimum (685)                                1-25 odds Page 691

10-5 Optimization (692)                                                              1-13 odds, 11, 33, 39 Page 703

 

* 11-1 Constant e and Continuous Compound Interest (715)           1-11 odds, 17, 33, 37 Page 721

11-2 Exponential Functions and Derivatives (723)              1-21 odds, 57, 67, 69 Page 732

11-3: Logarithmic Functions and Derivatives                                 TBA

 

4-1 Systems of Linear Equations (182)                                         1-25 odds, 51, 63, 65 Page 192  

4-2 Systems of Linear Equations and Matrices (196)                     1-31 odds Page 204

4-3 Gauss-Jordan (205)                                                              1,3,11,23,27,29,31,33 Page 216

* 4-4 Matrices: Basic Operations (220)                                         1-13 odds, 61, 69,71 Page 229

* 4-5 Inverse of a Square Matrix (234)                                           1-11 odds, 65 Page 243

* 4-6 Matrix Equations (245)                                                        1-15 odds, 49, 55, 56 Page 252

 

5-1 Systems of Linear Inequalities (275)                                       1-23 odds, 53, 57, 59 Page 286  

5-2 Linear Programming (289)                                                     1-15 odds, 31, 41, 45 Page 299

* 5-3 Geometric Intro to Simplex (303)                                         1-5 odds Page 319

* 5-4 Simplex Method: Max (311)                                                1-7 odds, 37, 47, 49 Page 326

 

If Time:

* Sequences and Series (1023)                                                   1-53 odds Page 1038

* Arithmetic and Geometric (1040)                                               1-19 odds, 45 Page 1046

* Binomial Theorem (1048)                                                          1-21 odds Page 1050

 

 

Tentative Quiz and Exam Dates:

 

Quizzes: 1/27, 2/3, 2/10, 2/24, 3/3, 3/10, 3/31, 4/7, 4/21, 4/28

 

Exams:  2/17, 3/14, 4/13, 5/5

 

Quiz questions will be based on the homework for that week.

 

 

 

 

 

 

 

 

 

 

 

 

 


 

Tentative Schedule:

 

Week One

Monday: Self-Test on Basic Algebra (969)                                                    

(on your own) A-1: Algebra and the Real Numbers (971)           A-2: Operations on Polynomials (977)           

Tuesday: A-3: Factoring Polynomials (985)                                                  

Thursday: A-4: Operations on Rational Expressions (992)                                       

Friday: A-5: Integer Exponents and Scientific Notation (998)                     

 

Week Two

A-6: Rational Exponents and Radicals (1004)                                             

(on your own) A-7: Linear Equations and Inequalities in One Variable (1011)        

(on your own) A-8: Quadratic Equations (1021)                                              

1-1 Functions (3)                                                                                

1-3 Linear Functions and Straight Lines (35)

 

Week Three

1-4 Quadratic Functions (53)                                                                           

2-1 Polynomial and Rational Functions (79)                                

2-2 Exponential Functions (95)       

 

Week Four

2-3 Logarithmic Functions (109)                                                                     

Review

Exam I  Algebra Review, Chapters 1 and 2

 

Week Five

3-1 Simple Interest (131)                                                                  

3-2 Compound Interest (139)                                                                          

3-3 Future Value Annuity: Sinking Funds (152)                                            

3-4 Present Value Annuity: Amortization (161)                                               

 

Week Six

9-1 Introduction to Limits (542)                                                                         

* 9-2 Continuity (558)                                                                         

9-3 The Derivative (570)                                                                                    

 

 

Week Seven

9-4 Power Rule (586)                                                                        

9-5 Derivatives of Products and Quotients (596)                                         

9-6 Chain Rule (604)                                                                                         

 

Week Eight

* 9-7: Marginal Analysis                                                                                    

Exam II  Chapters 3 and 9

10-1 First Derivative and Graphs (635)                                                          

 

Week Nine

10-2 Second Derivative and Graphs (653)                    

10-3 Graphing Rational Functions (669)                                       

10-4 Absolute Maximum and Minimum (685)                              

 

Week Ten

10-5 Optimization (692)    

* 11-1 Constant e and Continuous Compound Interest (715)  

11-2 Exponential Functions and Derivatives (723)      

 

Week Eleven

11-3: Logarithmic Functions and Derivatives                                                 

Exam III  Chapters 10 and 11

4-1 Systems of Linear Equations (182)                                                                        

 

Week Twelve

4-2 Systems of Linear Equations and Matrices (196)                  

4-3 Gauss-Jordan (205)                                                                                   

 

Week Thirteen

5-1 Systems of Linear Inequalities (275)                                                                     

5-2 Linear Programming (289)                                                                         

* 5-3 Geometric Intro to Simplex (303)                                                           

* 5-4 Simplex Method: Max (311)                                                     

 

Week Fourteen

* 4-4 Matrices: Basic Operations (220)                                            

* 4-5 Inverse of a Square Matrix (234)                                            

* 4-6 Matrix Equations (245)

Exam IV  Chapters 4 and 5

 

Week Fifteen

Review                                                                  

 

Week Sixteen    Final Exam