Math 102 – 1  A Survey of Mathematical Ideas                   4 Units

Math 191X (Optional) Supplement to Survey of Mathematical Ideas       1 Unit 

Spring 2006                                                               4 Units

Instructor:  Bic Ha Olson                                            Office:  A204 

Meeting Times:         Tuesday, Thursday 1:00 – 2:50 PM

                                    Tuesday, Thursday  2:55 – 3:20 PM

Meeting Place:  Room A209                    

Email:  Olson@ltcc.edu                                               Phone: 541 – 4660 Ext. 368

(Please add me to your address book so that my group emails are recognized and not SPAM)  

LTCC Math homepage:  http://www.ltcc.edu/depts/math/

Office Hours:             Monday:         5:10 – 6:10   @ HS PC 4 Until May 10, 2006

                                    Tuesday:         3:30 – 5:00 PM   @ Office: A204

                                    Wednesday:  5:10 – 6:10   @ HS PC 4 Until May 10, 2006

                                    Thursday:       4:00 – 5:30 PM @ Office: A204

                                    Or By Appointment

The best way to contact me is to call my college extension, 541-4660 EXT 368.  If I am not in my office, please leave me a message with your name and phone number. 

 

Required Textbook:  Mathematics, A Practical Odyssey. 5th Edition. By Johnson/ Mowry

 

Optional Textbook: The Student Manual to Mathematics, A Practical Odyssey, 5th ed.

 By Johnson/Mowry

 

A copy of The Student Manual to Mathematics, A Practical Odyssey, 5th ed.  By Johnson/Mowry is in the Gateway Math Center, the Disability Resource Center, and in the Library on reserve.

 

Prerequisite:  A grade "C" or better in Math 154, or equivalent, or appropriate skills demonstrated through the Math assessment process.

 

As a Courtesy to everyone in class, please turn off your cell phones.  Thank you.

 


 

 Course Description:  This course provides a survey of a variety of branches of mathematics including inductive and deductive reasoning, business and finance math, finding perimeter and area, The Pythagorean theorem, an introduction to right triangle trigonometry, exponential growth and decay, logarithms, probability and statistics.  An emphasis will be placed on overcoming the fear of mathematics and seeing the use of mathematics in the "real world".

 

Grading:  Your class letter grade will be based on the usual grading scale:

 

A:  90% and above,     B: 80-89%,      C: 70-79%,        D: 60-69%,    F: 59% and under

                        Homework (Even Problems)              110 points                             

                        3 Quizzes                                               90 points

                        Project                                                   40 points

3 Midterm Exams                              360 points

                        Comprehensive Final Exam:  200 points     

                        Total                                                   800 points

 

I have given practice problems after every section.  I do not collect practice problems. 

These exercises are for you to improve your understanding of the material and to prepare you for quizzes and exams.  Do these problems after each of their lectures. 

 

Homework:  The Even-numbered problems are due every Thursday.  They are to be turned in by 5 PM on the day they are due.  The assignment is considered late if it is not turned in at this time. If you will be absent, either turn in the homework assignment early or have someone turn in the homework assignment for you.  Homework that is late, but turned in within one week of the due date receives half credit.  Homework turned in after this receives no credit.

 

Quizzes:  I give 4 quizzes, but only 3 are counted so your lowest quiz is dropped.

There are no make-up quizzes.

 

Project:  The project is due Thursday, May 25.  It will include graphs that you learn in chapter 4.  You are required to collect data that is quantitative and put them into a report that summarizes your findings.  You will need to find the mean, median and mode of your data and the standard deviation.  More details on the project will be given in class. 

Late projects will be deducted 10% for every day late.

 

Midterm Exams:  You must notify me before an exam if you will miss the exam (541-4660 EXT 368).  Exams must be made up within 3 school days after the scheduled date, with a penalty of 10% You may take an exam up to 3 school days before the scheduled date without penalty.  Arrangements must be made with me in advance. 

 

The Comprehensive Final Exam is on Thursday, June 22, from 1 – 2:50 PM

All late work must be turned in by the time of the final exam for credit. 

 

Calculators:  You will need a scientific calculator for this course.  I will advise you which scientific calculator will be sufficient for this class.  A graphing calculator is not allowed for testing.


 

 

Students with disabilities must identify themselves to me within the first two weeks of class.

Accommodations for Students with Disabilities: Students requiring accommodations for a certain disability that may affect class performance are requested to schedule with a staff member at the DRC to discuss this during the first week of the quarter so that appropriate arrangements can be made. 

Course materials available in alternate format. 

 

 

Student Outcomes
The successful student will:
1. Demonstrate a reduction of their fear of Mathematics.
2. Exhibit an introductory proficiency in several branches of Mathematics.
3. Manifest their understanding of the application of Mathematics in the real world.
4. Engage in logical and critical thinking.
5. Show proficiency in reading technical information.
6. Demonstrate the solution to problems by translating written language into mathematical statements, interpreting information, sketching relevant diagrams, analyzing given information, formulating appropriate math statements and checking and verifying results.

 

The Gateway Math Center has free tutoring for all registered students.  Please Log In and Out so that the facility gets the funds it needs.

 

 

In this class, it is your responsibility to drop the class in order to avoid an unwanted grade. 

You must go to Admissions & Records.

Friday, April 14, 2006 is the last day for refunds.

Friday, April 28, 2006 is the last day to drop with no record.

Friday, June 2, 2006 is the last day to withdraw with a “W” grade.

 


 

Practice problems that say Odd means do the Odd numbered Problems.

EOO means do Every Other Odd Problem.

                                               

Tentative Lecture Schedule for Math 102 (Tuesday, Thursday)

Date                Topic                                                                                                               Section      

 

April 4              Introduction, Syllabus, Inductive & Deductive Reasoning                                   1.1

                        Dimensional Analysis                                                                Appendix E

1.1 Practice Problems: Pages 9 – 11, #1-17 EOO, #21-27 Odd, #43, 47.

1.1 Even Problems: #16, 22, 24, 48.

Appendix E Practice Problems: Pages A32 – A33, #3-15 Odd, 19.     

Appendix E Even Problems: #14, 16, 22.

           

HW 1 Sections 1.1 & Appendix E are due Thursday, April 6 (8 points)

April 6              Sets                                                                                                                  2.1

Introduction to Combinatorics                                                               2.3

2.1 Practice Problems: Pages 62 – 64, #1, 7 – 27 Odd, 31, 55, 57, 59,

2.1 Even Problems:  #2, 8, 22, 30.

2.3 Practice Problems: Pages 80 – 81, #1, 5, 7, 13, 23, 27, 33, 39, 43.

2.3 Even Problems:  #2, 4, 16, 22.

 

April 11            Finish 2.3

Permutations & Combinations                                                               2.4

2.4 Practice Problems: Pages 93 – 95, #1, 9, 11, 15, 17, 21 – 29 Odd, 33, 35.

2.4 Even Problems:  #12, 18, 26, 30.

Read Section 3.1

 

HW 2 Sections 2.1, 2.3, 2.4 are due Thursday, April 13 (14 points)

April 13           Quiz 1 (Sections 1.1, Appendix E, 2.1, 2.3)

Basic Terms of Probability                                                                                3.2

3.2 Practice Problems: Pages 145 – 147, # 1 – 13 Odd, 17 – 27 Odd, 39, 41, 43, 47, 55, 57, 61.

3.2 Even Problems: #42, 50, 56, 58.

 

April 18            Basic Rules of Probability                                                                                 3.3

Combinatorics                                                                                                  3.4

3.3 Practice Problems:  Pages 153 – 155, #1 – 11 Odd, 27 – 41 Odd, 47 – 53.

3.3 Even Problems:  #14, 30, 40, 50.

3.4 Practice Problems: Pages 165 – 166, #3a-c, 5, 7, 9, 13, 17 – 23 Odd.

3.4 Even Problems:  #8, 20, 24.

HW 3 Sections 3.2, 3.3 are due Thursday, April 20 (8 points)

April 20            Expected Value                                                                                                3.5

                        Review Exam 1 (Sections 1.1, Appendix E, 2.1, 2.3, 2.4, 3.2, 3.3)

3.5 Practice Problems: Pages 171 – 175, #3, 5, 13, 29, 31, 33.

3.5 Even Problems:  #6, 14, 30.


 

Tentative Schedule for Math 102

Date                Topic                                                                                                               Section      

 

April 25           Exam 1 (Sections 1.1, Appendix E, 2.1, 2.3, 2.4, 3.2, 3.3)

 

HW 4 Sections 3.4, 3.5 are due Thursday April 27 (8 points)

April 27            Return Exam 1

                        Conditional Probability                                                                          3.6

3.6 Practice Problems: Pages 183 – 186, #1 – 7 Odd, 13, 15, 17, 33, 35, 37, 41, 47.

3.6 Even Problems:  #2, 8 (draw the complete tree for part d), 38, 42.

 

May 2              Population, Sample, Data                                                                                  4.1

                        Measures of Central Tendency                                                              4.2

4.1 Practice Problems: Pages 214 – 218, #1, 3, 7, 15, 19.

4.1 Even Problems:  #2, 8, 16.

4.2 Practice Problems: Pages 236 – 239, #1, 7, 9, 13, 15, 19, 25.

4.2 Even Problems:  #2, 14, 16, 26.     

 

HW 5 Sections 3.6, 4.1 are due Thursday, May 4 (10 points)

May 4              Quiz 2 (Sections 3.4 – 3.6, 4.1)

Measures of Central Dispersion, GMC visit                                                     4.3

4.3 Practice Problems: Pages 248 – 251, #1, 7, 11, 15, 17.

4.3 Even Problems:  #12, 16, 18.

 

May 9              The Normal Distribution                                                                                    4.4

4.4 Practice Problems: Pages 271 – 272, #1 – 17 Odd, 21, 23.

4.4 Even Problems:  #6, 8, 16, 20.

 

HW 6 Sections 4.2 - 4.4 are due Thursday, May 11 (14 points)

May 11            Simple Interest                                                                                      5.1

                        Compound Interest                                                                                           5.2

5.1 Practice Problems: Pages 312 – 314, #3, 7, 11, 17, 23, 29, 31, 35a-d.

5.1 Even Problems: #8, 14, 20, 28, 32.

5.2 Practice Problems: Pages 324 – 326, #5, 7, 13, 19, 25, 33, 37, 41.

5.2 Even Problems: #14, 26, 36, 42.    

 

May 16            ญญAnnuities, Review Exam 2 (Sections 3.4 – 3.6, 4.1 – 4.4)                                 5.3

5.3 Practice Problems: Pages 339 – 341, #1, 9, 17, 19, 27, 33.

5.3 Even Problems: #10, 18, 22, 34.

No HW due

May 18           Exam 2 (Sections 3.4 – 3.6, 4.1 – 4.4)

 

May 23            Return Exam 2, Finish 5.3

                        Amortized Loans                                                                                              5.4

5.4 Practice Problems: Pages 352 – 355, #5, 7, 9, 13, 17, 29.

5.4 Even Problems:  #4, 10, 18.


 

Tentative Schedule for Math 102

Date                Topic                                                                                                               Section      

 

The PROJECT (40 points) and HW 7 Sections 5.1 – 5.3 (16 points) are due Thursday, May 25

May 25            Perimeter & Area, The Pythagorean Theorem                                       6.1

Right Triangles & Right Triangle Trigonometry                                       6.5 

6.1 Practice Problems: Pages 395 – 398, #7, 9, 11, 15, 17, 21, 23, 29, 31, 33.

6.1 Even Problems: #16, 22, 34.

6.5 Practice Problems: Pages 444 – 446, #1 – 25 EOO, 27, 29, 35, 41.

6.5 Even Problems: #12, 22, 30, 40.

 

May 30            Quiz 3 (Sections 5.1 – 5.4)

Finish 6.5

Exponentials                                                                                                     9.0A

9.0A Practice Problems: Page 639, #1 – 13 EOO, 15 – 23 Odd, 27 – 47 EOO

9.0A Even Problems:  #10, 14, 20, 48.

 

HW 8 Sections 5.4, 6.1, 6.5 are due Thursday, June 1 (12 points)

June 1              Exponentials & Logarithms & their Properties                                       9.0B

                        Begin 9.1

9.0B Practice Problems: Pages 653 – 654, #1 – 27 Odd, 29 – 45 EOO, 53, 55, 59, 61.

9.0B Even Problems:  #16, 22, 32, 46, 60.

 

June 6              Exponential Growth                                                                                          9.1

Review Exam 3 (Sections 5.1 – 5.4, 6.1, 6.5)

9.1 Practice Problems: Pages 665 – 668, #1, 5, 9, 13, 15, 23.

9.1 Even Problems:  #6, 10, 16.

                       

HW 9 Sections 9.0AB, are due Thursday, June 8 (12 points)

June 8             Exam 3 (Sections 5.1 – 5.4, 6.1, 6.5, 9.0AB)

 

 

June 13            Return Exam 3, Exponential Decay                                                                   9.2

9.2 Practice Problems: Pages 683 – 685, #1, 5, 9, 13, 19, 21, 29.

9.2 Even Problems:  #10, 20, 24.

           

HW 10 Sections 9.1, 9.2, are due Thursday, June 8 (8 points)

June 15           Quiz 4 (Sections 9.0B, 9.1, 9.2),

                        Review for Comprehensive Final Exam            

 

No Class on Tuesday, June 20.

 

Thursday, June 22, 1 – 2:50 PM  Comprehensive Final Exam