Math 102 – 1 A Survey of Mathematical Ideas 4 Units

**Math 188 (Optional) Supplement to Survey of Mathematical Ideas 1 Unit

Spring 2007

Instructor: Bic Ha Olson Office: A204

Meeting Times: Math 102 Monday, Wednesday 1:30 – 3:20 PM

Math 188 Monday, Wednesday 3:25 – 3:50 PM

Meeting Place: Room A211

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 homepage: http://www.ltcc.edu

Office Hours: Monday: 4:00 – 5:00 PM @ GMC (G4)

Tuesday: 5:00 – 6:00 PM @ Office: A204

Wednesday: 12:30 – 1:30 PM @ Office: A204

4:00 – 4:30 PM @ Office: A204

Thursday: 4:30 – 6:00 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. 5^th Edition. By Johnson/ Mowry

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

By Johnson/Mowry

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

Course Description: This course provides a survey of a variety of branches of mathematics including inductive and deductive reasoning, business and finance math, 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".

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

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

2 Projects (40 pts. each) 80 points

3 Exams 450 points

Comprehensive Final Exam: 200 points

Total 930 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 Wednesday. 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: The lowest quiz score will be dropped so there are no make-up quizzes.

I give 4 quizzes but only 3 are counted.

Project 1: Due Monday, May 21. This project will include concepts from Chapter 4, Statistics. You are required to collect data that is quantitative and put them into a report that summarizes your findings and includes graphs. Find the mean, median, mode and the standard deviation of your data. A conclusion of what you have found must be included. An outline for the project will be given in class.

Project 2: Due Monday, June 11. This project will include concepts from Chapter 5, Finance. You are required to research interest rates and develop a retirement plan with annuities. Find the cost of buying a home; the mortgage, monthly payments, total payments and what is necessary to qualify for a loan. Make conclusions from your findings. An outline for 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.

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.

Academic Integrity:

Homework may be done in groups with other students or with the help from the instructor or tutors, but each student must turn in their own work.

Quizzes and Exams must be done by the student alone.

Any Student who violates this rule will receive a zero on the Quiz or Exam.

A second offense will result in failing the course.

Math 188-1 (Optional) Supplement to Survey of Mathematical Ideas

This optional class is taken Credit**/No Credit.

** In order to receive Credit for this one unit course you have three options.

Option 1: Pick one of the following books and read the appropriate chapters.

1. Managing the Mean Math Blues, by Cheryl Ooten, Chapters 10 & 11.

2. Conquering Math Anxiety, by Cynthia Arem, Chapter 7 & 11.

3. Overcoming Math Anxiety, by Randy Davidson & Ellen Levitov, Chapters 4 & 7.

These books are on reserve in the library. Then type a two-page paper on what you have learned from these chapters and/or how it will help you in math class. The paper must be double-spaced and use 12-point font. You may include your experiences in math from this class or any previous experience.

Option 2: Attend an approved event during Multicultural Week, May 14 – 18. Write a two-page paper about the event and what you learned and/or felt about the activity.

Option 1 and Option 2 papers are due by Monday, June 4.

Option 3: Do the practice problems (ODD problems) assigned with each section and turn in at least five (5) Homework SETS of the PRACTICE PROBLEMS.

I will accept Practice HW sets up to June 18.

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 13, 2007 is the last day for refunds.

Friday, April 27, 2007 is the last day to drop with no record.

Friday, June 1, 2007 is the last day to withdraw with a “W” grade.

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.

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

EOO means do Every Other Odd Problem.

Tentative Lecture Schedule for Math 102 (Monday, Wednesday)

Date Topic Section

April 2 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 Wednesday, April 4 (8 points)

April 4 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 9 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

Tentative Schedule for Math 102

Date Topic Section HW 2 Sections 2.1, 2.3, 2.4 are due Wednesday, April 11 (14 points)

April 11 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 16 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 Wednesday, April 18 (8 points)

April 18 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.

April 23 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 Wednesday, April 25 (8 points)

April 25 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.

April 30 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 Wednesday, May 2 (10 points)

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

Measures of Central Dispersion, 4.3

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

4.3 Even Problems: #12, 16, 18.

May 7 The Normal Distribution 4.4

4.4 Practice Problems: Pages 271 – 272, #1 – 19 Odd.

4.4 Even Problems: #6, 8, 16, 20.

Tentative Schedule for Math 102

Date Topic Section

HW 6 Sections 4.2 - 4.4 are due Wednesday, May 9 (14 points)

May 9 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 14 Annuities, 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 16 Exam 2 (Sections 3.4 – 3.6, 4.1 – 4.4)

PROJECT 1 Due (40 points)

May 21 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.

HW 7 Sections 5.1 – 5.3 (16 points) are due Wednesday, May 23.

May 23 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 28 Holiday (No Classes)

HW 8 Sections 5.4, 6.1, 6.5 are due Wednesday, May 30 (12 points)

May 30 Quiz 3 (Sections 5.1 – 5.4)

Exponentials 9.0A

Exponentials & Logarithms & their Properties 9.0B

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

9.0A Even Problems: #10, 14, 20, 48.

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.

Math 188 paper due

June 4 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.

Tentative Schedule for Math 102

Date Topic Section

HW 9 Sections 9.0AB, are due Thursday, June 6 (12 points)

June 6 Exam 3 (Sections 5.1 – 5.4, 6.1, 6.5, 9.0AB)

PROJECT 2 Due (40 points)

June 11 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 13 Quiz 4 (Sections 9.0B, 9.1, 9.2),

Review for Comprehensive Final Exam

The Comprehensive Final Exam is on Monday, June 18, 2 – 3:50 PM