Math 097 – Spring 2013 – Daily Log – check after each class
MOST RECENT DAY
TAKE ADVANTABE OF THE MATH SCIENCE CENTER (MT02) AND THE MATH CLUB TUTORING SESSIONS ON FRIDAYS 2 – 4 PM
Tuesday August 27
· Register in Mymathlab
o Go to mymathlab.com and register
o Use the courseID that is in my syllabus
o Register with a temporary code if you don’t have the money now – you will have 17 days to buy a code (amazon may be the cheapest place)
· MML – once you register – start doing the homework that has been assigned – many are due soon
o Also explore the MULTIMEDIA LIBRARY where you will find videos, the electronic book and many other resources
· BOOK – through MML you will have access to the electronic book.
o If you still want to buy the book you can order via amazon an OLD EDITION of our book
o You will still have access to the new edition of the book via MML
· Explore my website – google MARIA ARONNE and get into math 097
o Scroll down to LINEAR FUNCTIONS and get into that page to explore all you have available
· Study sections 1.1, 1.2, 1.3, 1.4
· Work in MML on those sections
· Quiz on qualitative graphs. Also, on identifying the independent and dependent variables along with the units
· Here is a listing of what we did today:
· Discussed qualitative graphs
· Discussed independent and dependent variable.
· For a story containing an equation
1) Identify the independent, dependent variables, and the corresponding units [4 points]
2) Create a table listing at least 4 points that satisfy the conditions of the story, starting with (0, ....) [ 4 points]
3) On the table indicate with arrows the pattern of x and the pattern of y [2 points]
4) Sketch a graph by plotting the points that you have on the table. [2 points]
5) Label axes with variable names and units. [2 points]
6) Give the value of the slope. [4 points]
7) Write the units for the slope (units of y / units of x) [2 points]
8) Interpret the slope within context [4 points]
9) Give the y-intercept; write as an ordered pair. [2 points]
10) Attach the units to each of the coordinates of the y-intercept [2 points]
11) Interpret the y-intercept within context [4 points]
12) Give the x-intercept; write as an ordered pair. [2 points] (In the case of the number of students we found the x-intercept by solving an equation)
13) Attach the units to each of the coordinates of the x-intercept [2 points]
14) Interpret the x-intercept within context [4 points]
15) Comment on model breakdown whenever appropriate [4 points]
Thursday January 31, 2013
· We had a quiz on 1.1
· We learned to use algebra to find the equation of a line going through two points
· Once we produce the equation of the line you should be able to answer any of the question-types (1-15) listed below (see Tuesday January 29 post)
·
· The quiz next class : I will give you a story that will have the equation and you will need to answer the typical questions learned (see Tuesday January 29 post)
· Keep up with MML – many assignments are due SOON
·
· Go to my website
1) Click on the Linear Functions link (bottom, yellow row, first cell)
2) Print the document shown in the section: Linear Functions Videos from the Intermediate Algebra Book: Functions and Authentic Applications (by Lehmann),
Problems discussed on the following videosprint this document
3) Listen to some of the videos that are in that same table
·
· Also, in the same page refer to the section: Linear Functions - Least Squares Regression Line. In the last cell of that table, listen to the video
1) Listen to the Linear Regression video for Calculator
This is what we will learn next Tuesday. Any student that already knows the procedure will sign for 2 participation points. I will give you new data and you need to know the procedure shown on the video
Tuesday April 16, 2013
· We covered the quadratic formula
· We are done with chapter 7
· Practice ALL handouts from my website
· Listen to the videos
· Practice from MML
· Do problems from the book (see syllabus) if you want more practice
· PRINT THE FINAL REVIEW – on the front page of the math 097 website AND START DOING THE PROBLEMS; start from the last problem going backwards.
· The test on chapters 3, 6 and 7 is on May 2
Thursday April 11, 2013
· We had a quiz on section 3.3
· We covered section 7.2
· Complete the MML assignment on the section
· Study for a quiz in FINDING THE VERTEX OF A PARABOLA using algebraic steps.
· On the front page of my website, scroll down and click on QUADRATIC FUNCTIONS which in the last cell. In that new page you will find power point presentations (read them), videos (listen to them) and documents with problems (solve them)
· The next exam will cover chapters 6, 3, and 7. It is on MAY 2
Thursday April 4, 2013
· Test on chapter 5
· The average of all chapter 5 assignments in MML was recorded as a quiz grade
· DUE ON APRIL 9:
· MML 3 assignments on chapter 6 are due at midnight of April 8 – YOU MUST SOLVE THE PROBLEMS ON A PAPER SHOWING ALL WORK. THE PAPER IS DUE ON APRIL 9
Thursday March 28, 2013
· We had a quiz
· We covered 5.6 (we do not do section 5.5)
· Today I recorded a quiz grade which was the average of the two MML assignments in 5.4. Many of you did not complete the assignments. Those sections are available again to improve the overall grade on the chapter but the quiz grade stays.
· Study for the test on chapter 5 which is Thursday 4/4 – scroll to the next page to see the study guide
· QUIZ NEXT TUESDAY – ANYTHING FROM CHAPTERS 4 AND 5
· The problems from MyMathLab are not enough, practice from the book (the listing of problems to do is in the syllabus) OR
· Use the materials from my website to review: look at all the documents we have in the table shown below
· Print Problems discussed on the following videos and solve them. if you need help, listen to the videos that explain the solutions
· Print Exponential Functions Review and solve the problems. The answers are at the end of the document
Exponential Functions Videos from the Intermediate Algebra Book: Functions and Authentic Applications (by Lehmann)
print AGAIN - there are more problems now / 1-Tamiflu
video / 2-Ring Tones
video
3-Compound Interest
video / 4-Iodine-131
video
For exam 3 - includes logarithms / 5- Compound Interest - Use log
video
For exam 3 - includes logarithms
6- Starbucks Stores - Use log
video
For exam 3 - includes logarithms / 7- Mummies on display - Use log
video
For exam 3 - includes logarithms / 8-Newton's Law of Cooling - Use ln
video
For exam 3 - includes logarithms
Exponential Functions - Handouts from class
More Exponential Models
Solutions / Interpretations of a and b
Some Solutions / Exponential Functions Review
For study guide scroll down to the next page
Tuesday March 26, 2013
· We covered through 5.4
· We had a quiz on a word problem of the type given y, find x. You had to solve by using logarithms
· Next class, study 5.1-5.4. You will be given a word problem involving an exponential function. There will be two questions: given x, find y, and another of the type: given y, find x. Questions will be phrased in context.
· Next class we’ll cover 5.6
· The test on chapter 5 is Thursday April 4th . For MANY students, this test will decide whether you can pass this class or not. HERE IS THE STUDY GUIDE. Start studying.
STUDY GUIDE - What is on test 3 – Stories will be similar to the stores in the second test
1. Interpret constants within context in an exponential growth or decay model.
· Give two interpretations of b.
o One as a multiplier when x increases by 1,
o Another identifying the rate of growth or decay
· Be able to sketch the correct graph for the data without the use of the calculator.
· Label axes with variable names and units and label y-intercept
2. Given data, construct a scatterplot (with the calculator and by hand). Identify the model to be used: linear or exponential. Use the calculator to produce the best model that fits the data.
3. Given an exponential model
a) Find f(#) and interpret within context using a complete sentence with correct units. This is the same as a problem type given x, find y.
b) Find x, when f(x) = #. Interpret within context using a complete sentence with correct units. This is the same as a problem type given y, find x. YOU MUST KNOW
I. THE ALGEBRAIC approach (using log) and
II. The graphical approach
c) Interpret statements of the type: f(7) = 6 within context
4. Given an exponential model
a) Find f(#) and interpret within context using a complete sentence with correct units.
b) Find x, when f(x) = #. Interpret within context using a complete sentence with correct units. This is the same as a problem type given y, find x. YOU MUST KNOW
I. THE ALGEBRAIC approach (use ln) and
II. The graphical approach
5. Solve problems about the temperature of an object – problems 67 and 68 on page 266
6. Constructing an exponential model by using algebra – refer to the exam from chapter 4
7. Constructing an exponential model for compounding annually – refer to the exam from chapter 4
8. Understanding half-life – refer to the exam from chapter 4
Thursday March 14, 2013
· PI DAY!!!!! PI = 3.14...... March 14 (3/14)
· We covered sections 5.1, 5.2, 5.3
· There is homework available in MML for sections 5.2 and 5.3 (there will be no hwk in 5.1)
· During the break study sections 5.2 and 5.3 and complete the MML assignments which are due on 3/25
· If you want you can continue doing all through 5.5.
· The next test on chapter 5 is on April 4 – this test will be identical questions as exam 2 – we are just adding the problem-type: given y find x. In test 2, we solved the problem using the graphical approach, in test 3 we will solve the problem using algebra
· HAVE A SAFE SPRING BREAK!!!!
Tuesday March 12
· We had the test on chapter 4
· I have e-mailed you an assignment on chapter 5, please complete it for Thursday
· Check MML and start working on the chapter 5 HWKs that are available
Thursday
We reviewed for the test
from my website: GET INTO THE EXPONENTIAL FUNCTIONS PAGE - STUDY
· VIDEOS: print the document with the problems and listen to the videos if you don’t know how to solve them
· Study all handouts from class
· Study the word problems from MML
· Do problems 7-10 in the final review which is in my website
· Do more word problems from the book
Studying for exam 2 - Chapter 4 – Exponential functions y = a * b^x
Study all handouts from class
Study the word problems from MML
Do problems 7-10 in the final review which is in my website
Do more word problems from the book
What is on Exam 2? WORD PROBLEMS
Here are the typical questions that you will be answering once you have the function y = a * b^x
a) Given x, find y
b) Find f(#) and interpret in context
c) Given y, find x (Use graphical approach with calculator and intersect feature)
d) Solve f(x) = # and interpret in context (Use graphical approach with calculator and intersect feature)
e) Give the y-intercept and interpret in context (this is the coefficient “a”)
f) What is the coefficient of the exponential model? Interpret in context (this is the coefficient a, same as y-intercept)
g) What is the base of the exponential model? Interpret within context: as a multiplier and as a rate
1) Problem including data
· Sketch the scatter diagram by hand (is it linear of exponential?)
· Use the calculator to find the “best” model that fits the data
· Use the function produced by the calculator to answer the typical questions:
2) Problem in which you will produce the exponential functions by hand (using algebra)
· Case 1: they give you the pattern of change of y per unit increase in x
· Case 2: They give you the pattern of change of y per “many” units increase in x
3) A word problem that already contains the equation to answer the typical questions listed above
4) Problem about exponential decay and Half-life
5) Interest compounded annually
NOTE: GRAPHICAL APPROACH
To answer the typical question given y, find x, you will be using the calculator. This will be the instructions on your paper