M111 Linear Programming QUIZ#1KEY F2010KEY TO QUIZ#1 FIND YOUR FORM: TRIANGLE OR CIRCLE
Please see the key in Room 2202.
SHORELINE COMMUNITY COLLEGE…
Fall Quarter 2010
Subject to change
COURSE: Elements of Precalculus, Math 111
Daily, Room 2206 - 9:30 to 10:20 a. m.
Daily, Room 2206 - 10:30 to 11:20 a. m.
TEXT: Elements of Precalculus 4th Ed.(Custom Text) by Wiley
Connally, et al. and Wheeler
INSTRUCTOR: Helen Hancock - Room 5310
Phone/VM: ; e-mail:email@example.com Website: http://shoreline.edu/hhancock/
OFFICE HOURS: Mon., Tues., 12:30 to 1:30 p.m.; (usually in 5310)
Wed. 8:50 – 9:15 a.m.; (usually in Room 2202 MLC)
Thurs. 11:30 – 12:15p.m.(usually in 5310)
and other times by appointment.
PREREQUISITE: Math 099(2.0 or better) or Math 097 AND Math 098(2.0 or better) or
RECOMMENDATION: It is recommended that the Math111 student be concurrently enrolled in either English 100 or above, or in ESL 100 or above, or has previously passed with 2.0 or better. There are readings and problems in this math course that require the student to have skills in comprehension and critical thinking.
MATERIALS: TI-84 Plus or TI-83Plus or TI- 83 graphing calculator; straight edge (clear plastic ruler), pencil, eraser and graph paper (If you have a different model TI graphing calculator which you use, then see the instructor about the calculator requirement. TI-81 - 82 and - 85 do not work for this course.)
The TI-89 will not be permitted on exams or quizzes.
If you do not yet have an email address, then you may go to the SCC library (http://www.shoreline.edu/StudentAccounts.aspx) to get an account.
Be sure to spell your e-mail correctly and pay attention to it being case sensitive, if it is.
Bring your calculator to every class.
Welcome to math class. This paper will give you some information about the course and your class. If you have any questions, please feel free to ask me either in class or at office hour. I hope you have a good quarter and master much mathematics in the next few weeks. The Office of Special Services and Services for Students with Disabilities is in Room 5226 and their phone is 206.546.4545.
The Mathematics Learning Center (MLC) is in Room 2202 and hours, about 40 hours per week, are announced on the door.
COURSE DESCRIPTION: Graphing and problem solving with polynomial, rational, exponential, and logarithmic functions. Mathematics of finance. Applications. Intended primarily for students in business, social sciences and some biological sciences.
COURSE CONTENT: Topics from all chapters in the text and supplements (handouts).
Applications and graphs (word problems) will be included throughout the quarter.
Functions, Lines and Change Functions, Quadratics, and Concavity; Intervals
Exponential Functions Logarithmic Functions
Transformations of Functions and their Graphs
Compositions, Inverses Functions, and Combinations of Functions
Polynomial Functions Rational Functions
Mathematics of Finance Linear Programming
This course will use mathematics to model and interpret relationships found in economics, business and other areas of applications. Precalculus requires decision making, choosing models, and analyzing and synthesizing given problems. In this course, students will be required to write English narrative to interpret the meanings of the numerical responses to application and theory problems, to explain work, and to summarize results; to use graphing utility (calculator) appropriately (technology) to assist in graphing and evaluating functions, creating numerical tables, and in writing solutions; and to choose an appropriate class of functions to model an application.
DAILY ASSIGNMENTS: Homework problems will be assigned daily. You should do these and keep them in your notebook. Throughout the quarter, specific problems will also be assigned to be turned in and graded. These will be announced in class on the day before they are due. Since they will often be the focus of the course work, you need to do them daily. Plan to regularly work about two hours daily and plan to work on the weekends between Friday and Monday classes. (Late papers are not accepted. If you are absent when a 10-point paper is due, then use the drop option for that paper. One 10-point quiz or assignment score will be dropped at the end of the quarter.) The best way to do well in this class is to do homework regularly and to ask questions when you need to so that you may continue to pace your way through the course. The worst question is the one that is never asked. As you mature mathematically, then you will know which questions you can contemplate and finally just answer yourself.
QUIZZES and EXAMS: Quizzes will be given about once a week. There will be three mid-term in-class exams, and some take home-papers or projects. All mid-term exams and the final exam and some quizzes will be closed book and closed notes. Graphing calculator will be required for the course, but there will be some quizzes for which no calculator is permitted. Late papers are not accepted. If you are absent when a 10-point paper is due, then use the drop option for that paper. One 10-point quiz or assignment score will be dropped at the end of the quarter. There will be no make-ups on scheduled exams. You may arrange to take a midterm exam early if you know in advance of a scheduling conflict. If you anticipate a scheduling conflict talk to me well in advance. If an emergency occurs and you miss a midterm, contact me as soon as possible before your return to class.
FINAL EXAM: The final exam will be comprehensive (covers the whole course).
CAMPUS HOLIDAYS: November 11, Thursday, Veterans Day
November 25,26, Thursday, Friday, Thanksgiving
LAST DAY OF CLASS: Friday, December 3. PREP DAY, means no class: Monday, December 6
Final Exam week is December 7, 8, 9 Regular Classes are not held on these days.
FINAL EXAM: The final exam will be comprehensive (covers the whole course).
FINAL EXAM: for the 9:30 class: Tuesday, December 7, 9:30 am – 11:20 am
for the 10:30 class: Thursday, December 9, 9:30 am – 11:20 am
GRADES: Your grade in this course will be an average of the following items: Daily Assignments; Quizzes, Group and Individual Worksheets/Assignments and Class Problems; Project(s);
3 Mid-Term Exams, Final Exam. There will be a total of about 500 to 600 points for the quarter. These points will be distributed this way: the midterms are 100 points each(3*100 = 300) and the final exam is 100 points; the rest of the points will be for the other papers.
This course has student option grading. A decimal
grade will be assigned as follows:
Some typical percentages and their grades appear below:
95% - 4.0, 90% - 3.5, 85% - 3.0, 80% - 2.5, 70% - 2.0, 60% - 1.0, below 57% - 0.0
Lowest decimal grade to receive 5 units credit will be 0.7. Decimal grades will be assigned unless P/NC option is requested by mid-quarter(Tuesday, October 26, 2010). This request may be made by submitting a Pass-Option Card (signed by the instructor) to the registration desk. If you choose the P/NC option, then P is 70%-100%. NC means a student does not have a 70% or above average. The student receiving the NC grade may choose to attend class and to take the final exam or not. (Please determine any individual consequences of receiving P/NC grade or of taking the final exam or not.)
The last day to change to Audit is Wednesday, November 3, 2010.
The last day to W is Wednesday, November 3, 2010. W means to withdraw or drop.
HOW TO CALCULATE YOUR GRADE: You may decide at some point in time to calculate your approximate grade at that time. The formula is (total accumulated points) divided by (total possible points).
NOTE: Students may work together on daily assignments, turn-in assignments, and projects; you are encouraged to be active and contributing members of study groups. (Photocopies are not accepted.) However, students are not permitted to work together on any part of an in-class exam, nor on any part of the final exam, unless otherwise announced. A grade of zero will be given for quiz, exam or exams on which students collaborate or use note(s) or text(s), unless otherwise announced. Further action may be taken as necessary.
NOTES: A climate of respect will be maintained if there are no side conversations or interruptions. Students are expected to arrive on time, not leave early, and plan to stay in class unless there is an emergency. Come prepared to participate in class and to create and maintain a good learning environment. This climate of respect includes turning off and putting away hand held devices, cell phones and things on which you text message.
ELECTRONIC DEVICES(such as CELL PHONES, Blackberries, HHDs, etc.): Turn off and put away cell phones. Turn off electronic devices (turn off the ringer and the buzzer and the hummer and the high pitch) and put away cell phones and any device which receives or transmits. These devices which receive or transmit must not be operating in class. They are not to be distracting you nor anyone else in the room as we focus on mathematics. Text messaging is not to be part of your math class activity. For the first week a reminder will be posted asking you to turn off and put away your cell phones. Afterward then have appropriate classroom decorum without any reminders. Calculators on cell phones are not permitted on any exam.
CLOSURE of SCC campus due to weather or other situations will be announced on KING, KIRO and KOMO or you may call 206-546-4101 for a recorded message. If you should miss an exam due to campus closure, the exam will be made up as soon as possible.
When a fire alarm rings, we want all occupants to exit immediately.
To Callsecurity: (206) 546-4633 or (206) 235-5860
Special Math 111 NOTES:
Students are expected to attend class regularly and to plan for time to study math about 2 hours per day. Students should consider doing about 2 hours of study outside of class for each hour of class time. This may mean more study time between Friday and Monday will be needed than is available between two other consecutive days. This will probably require adjusting study habits for the next 10 weeks. Expect weekend assignments. It will be up to you to do and check as much work as necessary to gain understanding of the material on which you will be tested.
GRAPHING CALCULATOR AND COMPUTER PROGRAMS: During class time the instructor will demonstrate using a variety of calculator demonstrations. You will be given some instruction in class for the TI-84Plus or TI- 83. A few printing assignments may be given. These will require approximately 4-6 hours of non-class time during the quarter. You may use the computers and printers in the Math Learning Center. You may find a program similar to one you have access to outside of class. For papers you produce outside of class and turn in you may use printed graphics, which you produce. You may choose the best resource available to you. There are graph-links and some graphing programs available in the Math Learning Center(Room 2202).
PRESENTATIONS and WRITING: Papers should be written on 8.5 inch by 11-inch paper.
Solutions should be written in an orderly fashion.
Work turned in should be neatly written, but, also, should be clearly written so the symbolic, graphic, numeric, and narrative parts all blend together when presenting problems, solutions and conclusions.
To the best of your ability use the English language and mathematics to express what you are thinking. On application problems, be sure to answer the questions, which were asked in the problem.
Write complete sentences.
For applications write what is being measured or counted and the units for measuring or counting: such as feet, ft./sec., number of years since 1960, etc.
There should be labels on all graphs. The labels should include scales and variables. Printed graphs also need to have labels on them. You may/must handwrite labels on graphs.
Refer to computer and calculator graphs and staple them in an appropriate order with other work.
Make your papers appear that you are planning to be a professional who cares about the appearance and content of the papers that you present.
MATH 111 Tentative ASSIGNMENTS(any changes will be announced in class) H Hancock
The following assignments are listed as a selection of problems to be done by each student. This is a minimum list. Some students may prefer to do more problems and some students will need to do more problems than listed below. You may work in groups and compare ideas about problems, plans for finding solutions and solutions. Each student should also spend individual study time for assignments, continual review and preparation for exams, understanding of the concepts and methods of solution. It is important for each student to be responsible for his or her learning. Students should consider doing about 2 hours of study per day. For application problems in this course write results in an English sentence which begins with a capital letter and ends with appropriate punctuation. For all graphs in this course label axes with either letters or words or both. Graphs without labels will be returned. For application problems in this course write results in an English sentence which begins with a capital letter and ends with appropriate punctuation. For each class read ahead in the text. Make notes including vocabulary new to you.
The Math Learning Center in Room 2202 has a copy of the Student’s Solution Manual. You may wish to use this to observe one writer’s responses to problems in the text. They may not have complete narrative responses.
For each class read ahead in the text. Make notes, including vocabulary, new to you.
DAY TOPICS PROBLEMS
In the BACK Of the BOOK use graph paper or not, but graph!
3.1 Linear programming 1, 11, 17, 19, 23
3.2 Graphical Solutions 1, 5, 11
3.3 Graphical Solutions APPS. 1, 3, 13
pg 58,etc. Tools for Ch.1_____odd___________________________
pg 102,etc. Tools for Ch.2___3,6,9,…,_________________________
1.1 Functions and Function Notation___1,2,3,4,9,11,19,20__________
1.2 Rate of Change _____3,7,9,11,14__Change #9 to read VCR, DVD__
1.3 Linear Functions _____1-6, 9,10,11,13____________________
1.4 Formulas for Linear Functions 1,3,5,11,13,17,21,25,29________
1.5 Geometric Properties of Linear Functions 5,7,9,13,20________
1.6 Curve Fitting: Linear Regression on TI-8x:Fitting Linear Functions to Data : do many problems____________________________________
Library of Functions:Graphs, function equations, word names:
calculator: y = ax + b, y = ax2 + bx + c, y = a* bx, y = a*xb, other
text: y = mx + b, same, P = P0*at, y = k*xp, other
word name: linear, quadratic, exponential, power other
____absolute value, square root, cube root, other___________________
2.1 Input and Output___1-15 odd, 19, 20, 23, 25_________________
2.2 Domain and Range_(graphing)_________1-23 odd, 27, 33________
2.3 Piecewise Defined Functions __1,3,5,12,13__________________
2.4 Composite and Inverse Functions____7,9,12____________________
2.5 Concavity_____1, 3-10, 15, 17, 19___________________________
2.6 Quadratic Functions__________________________________________
Review____________________Check Understanding__1-48 __________
3.1 Intro. to the Family of Exponential Functions1,4,5-8,9,12,13,14,15,16,23,27_____
3.2 Comparing Exponential and Linear Functions
3.3 Graphs of Exponential Functions and Concavity_1-4,7,9,10,20,21,25,37_____
3.4 Continuous Growth and the Number e _____1,4,15,16____________
More FITTING CURVES TO DATA__________________________
Page 189, Tools for Ch 4______________________
4.1 Logarithms and Their Properties_1-19odd, 20,21,25,31,32,33,39,45___
4.2 Logarithms and Exponential Models__1,3,9,13,19,21,24,27__________
4.3 The Logarithmic Function__3-6, 18, 7-11_______________________
Review_33 exact and approx 4 dec.__Check Understanding__1-24,29_____
pg. 229Review from (M080 and M099) Completing the Square_13,17,39,53
5.1 Vertical and Horizontal Shifts_1a,c,3-9,17,18,21,23,29__________
5.2 Reflections and Symmetry_Ex. 5, __3, 11-17,22,40_____________
5.3 Vertical Stretches and Compressions_2,4,9,11-16,17,19_________
5.4 Horizontal Stretches and Compressions__9,10,11______________
5.5 (Mostly review from Math 080 and Math 099)
The Family of Quadratic Functions TC,TR,
Review Ch. 8___1-6,1a,b,c,39______________________________
8.1 Composition of Functions_58,4,19,23,36,41,47,49__________
8.2 Inverse Functions__5,9,11,13,26,35,45__________________
8.3 Combinations of Functions___1,5,7,17_____________________
9.1 Power Functions____________11,15,31,35,39_____________
9.2 Polynomial Functions___1,3,5,19,20,21__________
9.3 The Short-Run Behavior of Polynomials_ 1, 5,7,11,13,21,41____
9.4 Rational Functions and ATC__ToBeAnnounced_________________
9.5 The Short-Run Behavior of Rational Functions__TBA_________
9.6 Comparing Power, Exponential and Log Functions_1,3,11,13,19,21,27__
9.7 Fitting Exponentials and Polynomials to Data____2,3,6___________
WORK SHEET ON Secant, Tangent, and Difference Quotient________________
MATHEMATICS OF FINANCE Practice with your formula sheet available and in sight. (Considerable)
4.2 Compound Interest(Exponential Models )(In front of book)___3,43,44,45,46___
CH 4 Review in the Front of the book(pages 176 – 179)__11a,22,34___________
In the BACK OF THE BOOK:
4.1Finance Interest Rates 1a, 2a, 5, 7a, 8b, 11, 16, 17, 22, 23, 29, 32,
4.2Finance EAY, FV = Pvert, Geometric Progressions1-7odd, 12 13 16 20 22 23
4.3Finance Amount of an Ordinary Annuity, Sinking Funds _3,5,9,17_________
4.4Finance Present Value of an Ordinary Annuity, Amortization 1, 5, 7b, 9
RATE MONITOR: Need to collect your interest rates and keep a list of them (not to turn in, but research to keep).