| Day | Date | Homework |
|---|---|---|
| E. White; 127 AH 782-5213; ewhite@jsu.edu;
http://mcis.jsu.edu/faculty/ewhite/index.html
DG - Daily Grade Assignment MT - Major Test..... Will take the entire class period. WS - Worksheet | ||
| Thur. | Jan 10 | 2.6A & B; WS#1 & WS#10. Get familiar with my web page. Print out Syllabus.
Check out Study Tips & Help.
UPDATE ON HELP for this assignment for those adding late: You might get some help from Notes #17. I do not have a full set of notes for 2.6 & 2.7 |
| Tues. | Jan 15 | Finish 2.6; 2.7A & B; WS#5 (This is Strongly Recommended as a review of Integer Exponents before we look at Fractional Exponents next week. Be sure that you remember the exponent rules, including how to work with negative exponents.) |
| Thur. | Jan 17 | 4.6A & B; 5.5; 6.2B; Keep working on WS#5... We will do Fractional Exponents
on Tues.
If you missed today's class or need some help, you might try using Notes #6 (Solving Rational Equations); and Notes #11 (Solving Radical Equations) from this web page. Notes #5 (General Solving Equations) may also be helpful. From now on EVEN ANSWERS WILL HAVE ITS OWN LINK ON THIS WEB PAGE. This will not include all even answers; however, I will try to post them as needed and/ or requested. EVEN ANSWERS to 4.6: #2. {1} #4. {-4} #6. {4} #8. {3/4} #10. {23/35} #12. {6} #14. {62} #16. {1/6, 6} #18. {-1/3, 9} #20. {11} #22. {-4/27} #24. {3} #26. No Solution #28. {10} #30. {3/4, 4/3} #32. {1/4} #34. {-1, 13/15} #36. {-5, 0} #38. {-5, 10} #40. {-3, -2/3} #42. {17} #44. {-4, 3} #46. 17.5 ft by 28.75 ft; #48. 60 degrees; #50. 9, 71; #52. 9450 females, 6750 males; #54. $147,000; #56. 19; #58. $225,000; #60. W = 21 cm; L = 36 cm. Selected EVEN ANSWERS to 5.5: #50. {5} #52. {13} #54. {4} #56. {9} EVEN ANSWERS to 6.2B: #22. {8, 2} #24. {4} #26. {20} |
| Tues. | Jan 22 | Finish 4.6B; 5.6A - D; WS#8; 6.2A
4.6B show the types of word problems for this first test. Even answers are given in the new web page box "EVEN ANSWERS" HINT to help you try 5.6D: Write the radical expressions in fractional exponent form, use exponent rules to simplify, then put back into radical form where necessary. WS#8 gives some good extra practice with evaluating numbers to fractional and negative exponents. I strongly recommend it as it seems that most students do not get enough practice from just the book problems. 6.2A will give you some more practice with solving quadratic (2nd degree) equations that can be solved by the 3 step process of Setting = 0, Factoring completely, and Setting each factor = 0 and solving the linear result. NOTE to 9:15 Class: No one asked about problem #49 - 56 in 5.5. These problems require "the squaring procedure" to be done TWICE. Isolate one radical and square both sides of the equation. You will notice that the other side will have a binomial expression with one term a radical. When you square that binomial side, the result will still have a radical in it; however now you should be able to combine like terms so that there is only one radical term for the whole equation. Shift terms so that the new radical term is isolated. Check to see if there are any common number factors that can be divided and thus simplify the numbers in the equation. NOW, square both sides again and proceed as with the equations shown in class. This sounds messier than it really is. |
| Thur. | Jan 24 | Finish 5.6D; 6.1A - C; 6.2C & D
SEE TEST DATE & LOCATION BELOW!!!! |
| Tues. | Jan 29 | 8.1A - C; 8.2A & B; WS#7 (Problems 1-30; 35-42)
WS#7 is STRONGLY RECOMMENDED for the problems indicated. This worksheet is actually the answers to the problems in Section 7.5, all written in slope-intercept form. (Includes even answers) Our assignment of 8.2B has very few problems, even doing the evens as indicated on the syllabus (Even answers are posted.) Consequently, most of you would benefit from some extra practice. NOTES AVAILABLE: If you missed class or would like some extra help on concepts from today's topics, see Notes #8 on Functions, Notes #9 on Graphing Lines, and Notes #10 on Writing Equations of Lines. NOTE to the 9:15 class: We did not get to go back and look at how to find the Domain of a function from its equation. The basic idea is to look for "trouble spots" in the expression of the function. For example, any function that has a variable in a denominator might have the "problem" of some value of x creating a 0 value in the denominator and making the function undefined.... We would want to "throw out" that value of x. For example, if f(x) = (x+2)/(x+6), we could not allow the value of -6 for x. Any other number would not "create a problem", so the Domain would be the set of all real numbers except -6. This could also be written using interval notation, or you can simply put x "does not equal" -6. The other type of "problem function" that we will see here is a square root. Since we know that in the real numbers (all that we will deal with as far as functions and graphs are concerned this semester), it is not possible to take the square root of a negative number, I would have to make sure that I only allowed values for x that kept the expression under the radical greater than or equal to 0 (that is not negative, since square root of 0 is 0 is allowed.) Thus to find the domain in a square root function, merely set the expression under the radical greater than or equal to 0 and solve for x, the result is the domain of that function. NOTE to the 11:00 class: In case I forgot to say so, in finding the equation of a line, if you are already used to doing this by using the slope intercept form, substituting the point in for the x and y-values, solving for b (the y-intercept) and substituting m and b back into y = mx + b, this method is perfectly acceptable. Just make sure I can follow your work. Also remember that parallel lines have same slope and perpendicular lines have negative reciprocal slopes. (For example, if a line has slope 2/3, any perpendicular line would have slope -3/2.) NOTE if you missed class: When grapning a line on the test you will be required to show both the x-intercept and the y-intercept, so make sure you know how to find these algebraically since trying to determine these from the graph is not always reliable, especially when the intercept values are not integers. I require these because this is something that can be easily applied in future graphs of other types of functions, and the x-intercepts actually become the key feature in one graphing method. SEE TEST DATE AND LOCATION BELOW!!!! |
| Thur. | Jan 31 | 6.3A & B was covered today, but will NOT be covered on the first test. (It
will be on the next test.) Be ready to ask questions on this section on Thursday.
MAJOR TEST #1 is Tuesday (See below.) HIGHLIGHTED SYLLABUS HAS BEEN UPLOADED. NOTE to the 9:15 class: Since most of you left class today without reminding me to show you how to find the domain of rational and square root functions, I must assume that you have it figured out on your own. However, I will give an indication here as to how to do it: If the function is rational (that is in fraction form), then we must restrict the values that x can be so as to NOT allow a 0 to be in the denominator. This usually just means excluding one or a few individual values from the domain. Example f(x) = 1/(x+5), then x can not equal -5. If the function is a square root, then what is under the radical must be kept positive or 0 (greater than or equal to 0.) This will create a simple linear inequality to solve to find the domain. |
| Tues. | Feb 5 | MT#1 - MAJOR TEST #1 TO BE GIVEN IN 355 AYERS |
| Thur. | Feb 7 | 6.4; 6.5A & B
Bring WS#9 on Tues (2/12); Review WS#10 & Bring WS#11 & #12 on Thurs. (2/14) NOTE on 6.4: As noted on the Syllabus, you ONLY HAVE TO SOLVE these using the quadratic formula and know how to SIMPLIFY the answer correctly... You do NOT have to determine the number and character of the solutions using the discriminant (#1-10) NOR do you have to check your answer using the sum and product rule (#11-50). NOTE on 6.5B: These problems are worked the same as the ones we did in 4.6A, but some of these that are quadratic will not factor as they did in 4.6, so you will have to finish by completing the square or the Quadratic Formula. NOTE on 6.5C: These problems are what are called "Quadratic Forms" They are not quadratic since they are not 2nd degree; however, they are trinomials that can be FOIL Factored. Since they are = 0, each factor can then be set = 0, and a method found to solve the resulting simpler equation. Since there were not many problems, I have made the EVEN ANSWERS available for you for 6.5C. TEST RESULTS: I have graded the first page, and results are not very good so far! I hope to have them returned to you by Tuesday. Those who missed and wish to take a makeup need to make arrangements before then. (See Course Policy) NOTES AVAILABLE ON WEBPAGE that might be helpful: NOTES #14 explains Extracting Roots ("Square Rooting an equation") NOTES #15 explains Solving by Completing the Square NOTES #16 explains solving using the Quadratic Formula |
| Tues. | Feb 12 | 6.5E (even answers have been posted); WS#9; 8.6 (Not required to find Domain for these functions.)
I would consider WS#9 as an absolute must. There are not many problems for D=RT in the book. The worksheet gives you more and a better variety of these. Bring WS#10, #11 & #12 to class on Thursday. (WS#11 & 12 will also be essential since I will be doing parabolas differently from the book. We will try to look at some different aspects of these on Thursday that relate to 6.6.) Review the ideas from WS#10 for inequalities and interval notation. I am not quite through grading your tests.... Hopefully, I will have them for you on Thursday. |
| Thur. | Feb 14 | 6.6. Bring WS#11 & #12 to class on Tuesday. You will absolutely need to have
these worksheets since I will be doing a different approach to parabolas from
the book. The worksheets will give you practice in all the aspects of parabolas
that I will expect you to know.
Tests were returned to the class today. I don't always bring the tests back to class again, so you may stop by my office to pick up your test if you were absent. Generally test grades were not good, but do not expect me to curve grades... I DO NOT! I do, however, drop 1/2 a test grade, and allow the final exam to count as 50% of your final grade as options to improve your grade. There is also the option of taking Skills Tests outside of class. See this web page for an explanation. |
| Tues. | Feb 19 | WS#11 & WS#12 to be used with 8.3 & 8.4. The Worksheet gives different
directions to be used with the equations in the book.
NOTE: Please be aware that I am asking different questions than merely graphing as the book does, so you will need to be able to answer similar questions on the test. To help you in this regard, you will notice that WS#11 has some sample problems on the 2nd page to give you an idea of what will be asked about parabolas on MT#2 in addition to showing you the form that will be given for a graphing problem. Of course, you can check your graph for the odd problems in the back of the book. You may do just the odds for the other questions; however, I have provided the answers to the evens as well, so that you can get some extra practice. "VERTEX FORM": You may use the form that I show on these wroksheets or you may use the similar function form that the book uses found in the pink box at the bottom of page 415. NOTE to 9:15 class: I did not get to talk about "Zeros of the Function" This is done in exactly the same way as finding x-intercepts... Set y=0 (same as f(x)=0) and solve for x. If the solution(s) are Real Numbers, then you have found BOTH the Zeros of the Function AND the x-intercepts. (Notice that the last two columns of both worksheets are identical if there are x-intercepts.) On the other hand, if the solution for x is NOT a real number .... It has an "i" in it, then these ARE Zeros of the Function; BUT they are NOT x-intercepts since there is no real solution, there can be no point on the graph on the x-axis. (Notice that if for x-intercepts, we get "none", then the entry for the Zeros of the Function has an "i" in it.) Notice that this latter situation would occur if the parabola sits entirely above the x-axis (turned up with vertex above the x-axis) or if the parabola sits entirely below the x-axis (turned down with vertex below the x-axis.) SEE TEST DATE BELOW. |
| Thur. | Feb 21 | Finish WS#11 & #12; 4.5A & B; 9.1
NOTE: If told to use Polynomial Long Division, Remainders must be put in "fraction form" as the book does; however, if using Synthetic Division, you may either put remainders in fraction form as with Long Division or you may just put R:__ REMEMBER TEST DATE BELOW! |
| Tues. | Feb 26 | Assignment to be done AFTER Test #2: 9.2A & B
BRING TO CLASS TUES, 3/4: WS#13 & WS#14. These 2 worksheets will be essential for our approach to section 9.3. (This will actually make the homework easier.) REMEMBER TEST ON THURSDAY. GO TO ROOM 355. |
| Thur. | Feb 28 | MT#2 - MAJOR TEST #2 to be given in 355 Ayers |
| Tues. | Mar 4 | WS#13 & #14 using the problems in 9.3; ("Start 9.4").
NOTE: I don't expect you to start doing the graphs in 9.4 til Thursday. I just pointed out today that when we are solving polynomial equations like those in 9.3, one of the results we obtain would be the same as the x-intercepts of the polynomial function represented by the left side of each equation. The x-intercepts are going to be the key initial idea to the graphing method that we will discuss on Thursday. |
| Thur. | Mar 6 | Midterm. LAST DAY TO BEGIN SKILLS TESTS.
SKILLS TESTS NOTE: I had several want to start the tests but could not arrange it for today, so I will extend the beginning deadline to early next week; however, you should notify me that you will be doing this, and get them started very soon. Oterwise, the tests will not do you much good. 9.4; Begin 9.5... I would suggest that you first try the functions in 9.5 that have a constant (just a number and no variable) in the numerator. Since the numerator can not = 0, then the whole function can not = 0, so there are no x-intercepts. This tells us that the only place the function can change from being below the x-axis to above, or vice versa, is going from one side of a Vertical Asymptote to the other side. That is we can do a number line for the function with the only critical number(s) being the location of the Vertical Asymptotes. Also, you can correctly assume that all of these with the constant numerator will have a Horizontal Asymptote of y=0 as the example in class had. We will discuss how to find the Horizontal Asymptotes for other cases on Tuesday. I do not suggest reading the book for this.... I have a much easier way of explaining and working these problems. NOTE on Test grades and MIDTERMS: Midterm grades had to be turned in by 1:00 PM today (Thursday), and I did not finish grading the tests in time to get them counted into this midterm grade. So those that receive a midterm grade of D or F, it is based on your first test grade (or lack of a grade is an F until it is made up or replaced.) Quite a few grades did come up on this test. I will have them ready to return on Tuesday. You may also stop by on Mon if you would like to see it sooner. |
| MON. | Mar 10 | LAST DAY TO DROP WITHOUT PENALTY. NO SIGNATURE REQUIRED.
This is a Monday... No class. If I have not returned the 2nd test by this date, I will still sign you as drop passing if you see me within a couple of days of my returning the tests to the class. You will have to have my signature past this date. |
| Tues. | Mar 11 | Finish 9.5; 10.1. Start WS#15 & #16 for Calculator practice.
In the 9:15 class, we started 10.2; however, we didn't get far, so we will talk about that more on Thursday and make that assignment. Print out the following: WS #15, 16 & 17 and Notes #20 (Gives Log definition, rules and examples.) (If you missed class today or had trouble with the discussion of 10.1, you may also want Notes #19.). WS#15 & 16 are designed to give you a good calculator workout to make sure you understand the proper way to enter powers, radicals, logs, exponentials (e), and have a good understanding of the proper use of order of operations with your calculator. Choose a calculator and be sure to bring that one on test day. Having to borrow one that you are not familiar with can spell disaster! You will find it useful to have Notes #20 on Thurs. (3/13) and WS#17 will be assigned then. PLEASE SEE THE ANNOUNCEMENT ABOUT THE CHANGE IN MY TIME IN THE TUTORING CENTER. |
| Thur. | Mar 13 | 10.4A - E; WS#17
NOTE: Yes, I have temporarily skipped 10.2 & 10.3.... We will come back to them after Spring Break. I decided that I wanted you to have a longer time for the definition and properties of logarithms to "soak in." If you missed class today, I strongly recommend getting Notes #20 AND getting the notes from someone who was in class today. We covered a lot of ideas!!!! |
| Tues. | Mar 18 |
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| Thur. | Mar 20 |
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| Tues. | Mar 25 | 10.2 Do #24 also (the answer is 11.8%); however you may omit #26 - 29...
Any question on Effective Yield will be a
Bonus Problem; 10.3 (Do #19 - 33 only)
NOTE ON FORMULAS FOR THE TEST: For this part of the test, you will not need to memorize formulas for compound interest, half-life, etc. I will make them available on the test. On the compound interest formula, you should know how to assign the correct values for A, P, r, n and t.... That is, I will not tell you which is which during the test. Also for the half-life formula, you should know that "Q sub-zero" is the initial amount of material, t is the time that decay is going on and h is the half-life of the substance. NOTE on FINAL EXAM PROBLEMS: For problems like #24 & 25 and some of the "calculator" problems from 10.6, there may be similar problems on the Final Exam. However, since you will NOT have a calculator, answers will be given in "exact form." This would be the way it would look BEFORE you put it into your calculator and would not have to be simplified in any way. I showed an example in class to explain this, so if you missed class, be sure to check with someone to clarify this idea. NOTE on 10.3: You will only be required to either verify that two functions are inverses of one another; or test to see IF they are inverses of one another. NEXT TEST: Dates for the 2 parts of Test #3 are given below. |
| Thur. | Mar 27 | 10.5; 10.6
DATES FOR TEST #3, PARTS I & II, ARE GIVEN BELOW. Remember that Part II of the test will have some straight claculator problems that are not directly related to problems from the book. To get an idea of what you will be expected to know, do WS#15 & #16. CALCULATOR HINT: Keep in mind what situations have "understood parentheses" such as numerators or denominators of fractions; under radicals; or in operations in an exponent position. Your calculator can not "see" understood parentheses, so you will have to insert them, or otherwise correctly convey the information to the calculator. |
| Tues. | Apr 1 | 13.1A
13.1B may be a source for Bonus Type problems only. NOTES TO HELP THOSE AFFECTED BY THE FIRE ALARM (or those missing class today): What you will be responsible for from section 13.1 are the following: Be able to write the equation of a circle, given its center and its radius. You will be asked to leave this in Standard (or Center-Radius) Form. To show you the form right here, I will have to use a ^ to indicate an exponent like many of your calculators. For example 3^2 means "3 squared" which is of course 9. Using this form, the equation of a Circle with Center (h,k) and having Radius R is: (x-h)^2 + (y-k)^2 = R^2 Example: The equation of the circle with center (-3,4) and radius 5 is: (x+3)^2 + (y-4)^2 = 25 The other type of problem is to take the equation of a circle in polynomial form and change it to Standard Form. This requires the use of Completing the Square "twice" since both x and y are involved as perfect squares. Example: x^2 + y^2 + 6x - 10y + 4 = 0. x^2 + 6x + ___ + y^2 - 10y + ___ = -4 + ___ + ____ x^2 + 6x + 3^2 + y^2 - 10y + 5^2 = -4 + 9 + 25 (x+3)^2 + (y-5)^2 = 30 is the equation in Standard Form The second part of this question will be: Find the Center and Radius... For this example, the center is (-3,5) and the radius is the "square root of 30" |
| Thur. | Apr 3 | We reviewed for the Test (See Dates below.)
NOTE on Highlighted Syllabus. I uploaded this last night & realized today that I had omitted a reminder at the top for WS#13 & 14. (It was noted under 9.3 to see these worksheets for instructions for problems in this section.) That has been corrected now, and was corrected in class, so if you downloaded it before, please make sure you are aware of this reminder. NOTE ON FINAL EXAM TIMES: They are listed for each class below. If you would like to take the Final with the "other" MS 112 class that I teach, you may do so. You MUST GIVE ME WRITTEN NOTICE if you wish to do this. Either give me (in person) a FULL sheet of paper with your name stating that you want to take the Final at ______ fill in the "other" exam day and time, OR you may email me. If you email, remember to put MS 112 in the subject, AND be sure that I reply to verify that you may do this. I need to receive this written notice by the last day of classes, Mon, 4/21. |
| MON. | Apr 7 | LAST DAY TO DROP. SIGNATURE REQUIRED...
AFTER TODAY, I CAN NOT DROP YOU!!!
This is a Monday... No class. |
| Tues. | Apr 8 | MT#3 Part I (Non-calculator) |
| Thur. | Apr 10 | MT#3 Part II (Calculator)
Final Exam Study Guide has been uploaded. It is in the same file as NOTES. Scroll to the bottom of the links to the notes to find. The best guide is probably your old tests; however, you might want to check out this study guide since it gives tips and reminders as well as designating some sample problems to do. |
| Tues. | Apr 15 | Bring Final Exam Study Guide to class & be ready to ask questions.
Notify me in writing & get approved if you want to take the Final Exam with my other MS 112 class (See dates & times below.) I have not finished grading the tests. I will try, but not promise, to have them back on Thursday. A key for each test is available for you to BORROW in my office or during class. Your tests should be an excellent aid to your study. There is nothing new to cover, but I will be available during Thursday's class to answer questions. I told the classes today that I will not take roll on Thursday, so if you choose not to come, you may check this web page Thursday to see if the tests are graded. |
| Thur. | Apr 17 | LAST CLASS DAY
Bring Final Exam Study Guide to class & be ready to ask questions. I did not return tests today. I should have them graded by Mon. You may stop by my office to pick them up. I have indicated below the times that I will be available next week to pick up tests or to ask questions. |
| Mon. | Apr 21 | LAST DAY FOR SKILLS TESTS
LAST DAY TO NOTIFY ME OF CHANGE OF EXAM TIME & DAY Only two Exam times will be Thursday from 10:00 AM til noon (11:00 class) and Tuesday 4/29 from 8:00 to 10:00 AM (9:15 class), both in Room 355 - I will be there 30 minutes early for each. (Either give me or slide under my office door (127 Ayers) a full sheet of paper with your name, PRINTED, and class and your intention to take the exam with the other class. You may also email me with "MS 112 Final" in the subject; however, make sure you have received a return confirmation from me before assuming that you can switch times.) I will have my regular Office Hours today, but they will change for the rest of the week. See each day for a comment. |
| Tues. | Apr 22 | ACADEMIC PREP DAY - NO CLASSES before 4:00.
I may be in my office; however I will not have set hours. Tutoring Center is open from 9:00 AM til 4:00 PM. |
| Wed. | Apr 23 | I will be in the Tutoring Center from 2:00 to 4:00, and probably
in my office from 4 til about 6:00. I will carry your tests to tutoring
or be able to go back to my office and get them for you.
Tutoring Center is open from 9:00 AM til 4:00 PM. |
| Thur. | Apr 24 | Final to be given in Room 355 for the 11:00 TR class. I will be there 30 minutes early. Alternately, you will be allowed to take extra time at the end. If you work slowly and have another final immediately after, be sure to come early so that you will not be rushed. I will probably be in my office for a short time afterward til around 1:00. Tutoring Center is open from 9:00 AM til 4:00 PM. |
| Fri. | Apr 25 | I am giving a Final (Not MS 112) from 1:30 to 3:30 in Room 355.
I will be there 30 minutes early and possibly in my office for a short time before that. Tutoring Center is open from 9:00 AM til 12:00 PM. |
| Mon. | Apr 28 | I have a Final Exam (NOT MS 112) from 4:00 to 6:00 in Room 107. I will also be starting that exam about 30 minutes early. I will probably be in my office for a little while before that exam. |
| Tues. | Apr 29 | Final to be given in Room 355 for the 9:15 TR class. I will be there 30 minutes early and for a little while after for those who need extra time. |