A SURVEY OF MATHEMATICAL IDEAS

 

Mat 102/Mat 188                                                                                              Fall, 2007

Monday/Wednesday                                                                                   1:30 – 3:20

Room: E100                                                                                                      4 units

 

INSTRUCTOR:                    Colleen McDonough

 

PHONE NUMBER/EMAIL:              541-4660 EXT. 368 / mcdonough@ltcc.edu

 

SUPPLEMENTAL CLASS:   Mat 188 – Optional class for additional instructional and/or assistance time per week.               

Meets one hour per week: Monday and Wednesday 3:25 – 3:50 p.m.

Office Hours (A204)      Monday:         12:30 – 1:30 PM 

                                       Tuesday:         2:30 – 3:30 PM   

                                       Wednesday:   12:30 – 1:30   

                                       Thursday:       2:30 – 3:30 PM

                                        Friday:               10:00 – 11:00 AM   

                                          Or By Appointment

REQUIRED TEXT: Mathematics, A Practical Odyssey. 6th Edition. By Johnson/ Mowry

Optional Textbook: The Student Manual to Mathematics, A Practical Odyssey, 6th Ed.  

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".

 

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

 

Academic Dishonesty: Academic dishonesty of any form will not be tolerated.  Students caught cheating on exams or quizzes will receive a score of zero on the assignment for the first offense and a course grade of F for the second offense. 

 

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: less than 60%

                         Homework                               150 points                              

                        Quizzes                                             100 points

                        Project(s)                                           50 points

                        3 Exams (150 points each)             450 points

                        Comprehensive Final Exam:           250 points  

                        Total                                                  1000 points

 Your letter grade will be based on your percentage of the 1000 possible points.

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

This optional class is taken Credit/No Credit.  Grade is based on attendance.

I have given practice problems following each section.  These problems are for you to improve your understanding of the material and to prepare you for quizzes and exams.  Do SOME problems from each group of problems after their lectures.  I do not collect practice problems.

Homework:  The Even problems to turn in weekly.  Their due dates are listed every week.  These problems are considered late if they are not turned in by 3:00 p.m.  the day they are due.  If you will be absent, either turn in the homework early or have someone turn in the homework assignment for you.  Homework that is one class meeting late is worth 80%, two class meetings late is worth 70% and one week late receives half credit.  Homework turned in after one week receives no credit. 

 Quizzes:  There are no make-up quizzes.   The lowest quiz score will be dropped. 

 Exams:  You must notify me before an exam if you will miss the exam (541-4660 EXT 368).  You may take an exam before the scheduled date without penalty.  Arrangements must be made with me one week in advance.  Exams taken late will be penalized 10%.

 Calculators are NOT allowed during testing.  Please practice the homework without them.

 LEARNING DISABILITIES:  If you have a learning disability, be sure to discuss your special needs with me.  Learning disabilities will be accommodated.

 

 

REGISTRATION:

               Ψ      You must register for this class at the Office of Admissions and Records.

Ψ      The last day to drop the class with no record is Friday, October 12.

Ψ      The last day to drop the class for a "W" grade is Friday, November 2.

Ψ      After November 2, if you are enrolled you will receive some kind of grade.

 

TUTORING: Tutoring is available in the Gateway Math Center in Room G4 in the portable buildings near the PE classrooms.  The phone number is 541-4660 ext. 741.  Tutoring hours will be distributed to you in class.

 

STUDENT OUTCOMES
 The successful student will:
1. Exhibit an introductory proficiency in several branches of Mathematics.
2. Manifest their understanding of the application of Mathematics in the real world.
3. Engage in logical and critical thinking.
4. Show proficiency in reading technical information.
5. 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.

 

HOW TO SUCCEED IN A MATH CLASS:

 

            1)  Come to every class meeting prepared and ready to participate.

 

2)  Arrive early, get yourself settled and be ready when class starts.                  Sit where you won’t be distracted.

 

            3)  Read each section before it is discussed in class.

 

            4)  Do all of the homework.

 

            5)  Do some math every day.

 

            6)  Start preparing for tests at least a week in advance.

 

7)  Take advantage of tutors and office hours, extra help can make a              difference.

HOW TO SUCCEED IN A MATH CLASS (continued):

 

            8)  Do some review every time you study math

 

            9)  Be willing to ask questions.

 

10)        Take notes.

 

 Tentative Lecture Schedule for Math 102 (Monday, Wednesday)

 

Date        Section      Topic

9/17         1.1               Introduction, Syllabus, Inductive & Deductive Reasoning          Appen E              Dimensional Analysis     

                                                           

9/19         8.1               Perimeter & Area, The Pythagorean Theorem                                                 8.5                        Right Triangles & Right Triangle Trigonometry                                                                         Turn in Homework #1 (Sections 1.1 & Appendix E)

 

9/24         5.1              Simple Interest                                                                                          5.2                       Compound Interest                                                                                                                                                    

 

9/26        5.3               Annuities

                                    Quiz #1 (Sections 1.1, Appendix E, 8.1, 8.5)                                                                    Turn in Homework #2 (Sections  8.1, 8.5, 5.1)                

   

10/1        5.4              Amortized Loans

                 10.0A         Exponentials                                       

 

10/3         10.0B         Exponentials & Logarithms & their Properties

                                    Review for Exam 1 (Sections 1.1, Appendix E, 8.1, 8.5, Chapter 5)

                                                Turn in Homework #3 (Sections 5.2, 5.3, 5.4)

 

10/8         Exam  I  (Sections 1.1, Appendix E, 8.1, 8.5, Chapter 5)

 

10/10       10.1            Exponential Growth

                                           Turn in Homework #4 (Sections 10.0A)

 

10/15       10.2            Exponential Decay

                 2.1              Sets

 

10/17       2.3              Introduction to Combinatorics

                                    Quiz #2 (Sections 10.0A, 10.0B, 9.1)

                                                Turn in Homework #5 (Sections 10.0B, 10.1, 10.2)

 

 

Date        Section      Topic continued

 

 

10/22       2.4              Permutations & Combinations

                 3.2              Basic Terms of Probability

 

10/24       3.3              Basic Rules of Probability

                                    Review for Exam 2 (Sections 10.0-10.2, 2.1, 2.2, 2.3)

                                                Turn in Homework #6 (Sections 2.1, 2.3, 2.4)   

 

10/29        Exam #2 (Sections 10.0 - 10.2, 2.1, 2.2, 2.3)

 

10/31     3.4                Combinatorics          

                                                Turn in Homework #7 (Section 3.2)

 

11/5         3.5              Expected Value

                 3.6              Conditional Probability

                                

 

11/7         4.1              Population, Sample, Data

                 4.2              Measures of Central Tendency

                                                Turn in Homework #8 (Section 3.3, 3.4, 3.5)

 

11/12                             VETEREN’S DAY HOLIDAY

                                           

11/14       4.3              Measure of Central Disposition

                                    Review for Exam 3 (Sections 3.2 – 3.6, 4.1)

                                                Turn in Homework #9 (Sections 3.6, 4.1 & 4.2)

 

11/19       Exam 3 (Sections 3.2 – 3.6, 4.1)

 

                                   

11/21       4.3              Finish Measure of Central Dispostion

                 4.4              Begin The Normal Distribution

                                                 

 

11/26       4.4              Finish The Normal Distribution

 

11/28                          Review for Final Exam

                                                Turn in Homework #10 (Sections 4.3 & 4.4)

 

12/3         Cumulative Final Exam (4:00 – 5:50)

                      You have just successfully completed Math 102

                                                            CONGRATULATIONS!

 

 

 

MATH 102 ASSIGNMENTS

 

Each assignment is worth 15 points.  You will turn in only the even numbered problems listed in bold print to be graded.  The remaining problems you will be checking yourself in the back of the book.  Be sure to use class time, office hours, and the Gateway Math Center to get all of your questions answered.

 

    

SECTION                                                      PROBLEMS

 

1.1       Practice Problems:               Pgs. 16 – 19, #1-17 EOO, #21-27 Odd, #43, 47.

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

 

App E Practice Problems:               Pgs. A31 – A32, #3-15 Odd, 19.         

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

 

8.1       Practice Problems:               Pgs. 534 – 538, #7, 9, 11, 15, 17, 21, 23, 29, 31, 33.

8.1       Even Problems:                                 #16, 22, 34.

 

8.5       Practice Problems:               Pgs. 585 – 588, #1 – 25 EOO, 27, 29, 35, 41.

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

 

5.1       Practice Problems:               Pgs. 335-339, #3, 7, 11, 17, 23, 29, 31, 41a-d.

5.1       Even Problems:                                 #12, 18, 24, 32, 38.

 

5.2       Practice Problems:               Pgs. 3348-352, #5, 7, 13, 19, 25, 33, 35, 39, 49.

5.2       Even Problems:                                 #14, 26, 38, 50.   

 

5.3       Practice Problems:               Pgs. 363-367 #1, 9, 17, 19, 27, 33.

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

 

5.4       Practice Problems:               Pgs. 375-382, #5, 7, 9, 11, 15, 39.

5.4       Even Problems:                                 #8, 10, 16, 38

 

10.0A Practice Problems:               Pgs. 733, #1 –13 EOO, 17 – 29 Odd, 31 – 55 EOO,57

10.0A Even Problems:                                 #10, 14, 26, 48, 58.

 

10.0B Practice Problems:               Pgs. 746-747 #1 – 31 Odd, 33 – 49 EOO, 59– 67 Odd

10.0B Even Problems:                                 #20, 32, 36, 52, 66

 

10.1    Practice Problems:               Pgs. 759-763, #1, 5, 9, 13, 15, 23.

10.1    Even Problems:                                 #6, 10, 16.

 

10.2    Practice Problems:               Pgs. 778-781, #1, 5, 9, 13, 19, 21, 29.

10.2    Even Problems:                                 #10, 20, 24.

 

 

SECTION                                                      PROBLEMS

 

2.1       Practice Problems:               Pgs. 72 – 75, #1, 7 – 27 Odd, 31, 55, 57, 59,

2.1       Even Problems:                                 #2, 8, 22, 30.

 

2.3       Practice Problems:               Pgs. 94 – 95, #1, 5, 7, 13, 23, 27, 33, 39, 43.

2.3       Even Problems:                                 #2, 4, 16, 22. 

 

2.4       Practice Problems:               Pgs. 108 - 111, #1, 9, 11, 15, 17, 21–29 Odd, 33, 35

2.4       Even Problems:                                 #12, 18, 26, 30.

 

3.1       Read

3.2       Practice Problems:               Pgs. 146 – 148, # 1 – 13 Odd, 17 – 27 Odd, 45, 47,                                                                   49, 61, 69, 71, 73.                                                                  

3.2       Even Problems:                                 #46, 68, 70 , 72. 

 

3.3       Practice Problems:               Pgs. 159 – 162, #1 – 11 Odd, 27 – 41 Odd, 47 – 53.

3.3       Even Problems:                                 #14, 30, 40, 50.

 

3.4       Practice Problems:               Pgs. 173 - 175, #5a-c, 7, 9, 11, 13, 15, 19 – 25 Odd.

3.4       Even Problems:                                 #10, 22, 26.

 

3.5       Practice Problems:               Pgs. 180 – 185, #3, 5, 13, 33, 35, 37.

3.5       Even Problems:                                 #6, 14, 34.

 

3.6       Practice Problems:               Pgs. 194-201, #1 – 9 Odd,  15, 21, 23, 25,  41, 43,                                                                     45, 47, 57, 63.

3.6       Even Problems:                               #2, 16 (draw complete tree part d), 46, 58, 64.

 

4.1       Practice Problems:               Pages 231 - 235, #1, 3, 7, 15, 19.

4.1       Even Problems:                                 #2, 8, 16.

 

4.2       Practice Problems:               Pages 254 – 258,  #1, 7, 11, 15, 17, 21, 27.

4.2       Even Problems:                                 #2, 16, 18, 28.     

 

4.3       Practice Problems:               Pages 267 – 271, #1, 7, 13, 17, 19.

4.3       Even Problems:                                 #14, 18, 20.

 

4.4       Practice Problems:               Pages 291 – 293, #1 – 19 Odd, 23.

4.4       Even Problems:                                 #8, 10, 12, 20, 24.

 

Wednesday, Dec.3 Comprehensive Final Exam 4:00 – 5:50 PM