M129. Homeworks assigned. [Note: "*" means written work.] [ Updated 12/11/2012, 11:09 am ] ================================================= Math129 : Dr. Leisinger. Fall 2012 semester ================================================= ALL WORK IS TO BE DONE IN THE HW notebook, unless noted below. HW# Date Date Assignment assigned due H0 9/4 9/6 Read math.umb.edu/~aleising/General_Information.txt and follow the directions there. H1 9/4 9/6 Get a hardbound Homework notebook. [immediately] Number the pages of the HW notebook. Set up your index on sides #1 and #2 as directed in class. Get a ruler (any kind or length: used for a straight-edge). Get a textbook. {by 6/8/2012) Get a non-graphing scientific calculator. (by 9/18/2012) H2 9/4 9/6 Read "Linear Equations" handout. * Do part 1 and part 2 on the graph paper provided. Hand in separately from your HW notebook. Note that H4 comes before H3. I also corrected the dates below. H4 9/7 9/10 See HW4_graphLines.pdf This is the first assignment to do in your HW book. Please start it on page 5. Remember to put the HW # on every sheet at the top. H3 9/11 9/12 Graphing lines. Read p73-80, then do this in your HW notebook. * Work Examples 1-3 with book. NOTE: See May29.pdf for a photocopy of some of the book pages. * p. 81-2 #1-20 (ALL PROBLEMS) H5 9/11 9/12 Learn Table pp 4-5 (Field properties of real numbers) NOTE: See May29.pdf for a photocopy of some of the book pages. * Problems p8 #9,10 Learn Table pp 11 (Order of Operations: PEMDAS) * Work exercises p 10-14 along with book. * p 15 #1-30 ODD NUMBERED PROBLEMS DO WORK IN YOUR HW notebook. H6 9/11 9/14 Equations of lines from their graphs * p 85 #1-6, 11, 12 Learn box p.88 Read examples p 86-87 #1,2,3,4,5 * p90 ODD NUMBERED PROBLEMS #1-25; #27,28,29,30 NOTE CHANGE IN DUE DATE: H7 9/11 9/19 Distance Formula. Circles. Completing the Square. Learn box p462. Learn 3 forms of the distance formula, p463 #1,2,3 Read example pp 464-465 * p466 #1-18 (In HW book) H8 9/17 9/19 Factoring Read and carefully learn the handout "Factoring Anything". See Factoring_Anything.pdf on the website if you need another copy of this handout. We will begin to discuss it in class. DO NOT DO THIS H/W in your HW notebook. Start working the problems on the second side of that handout. For now, work the problems you can do on scratch paper. On 9/19, we will continue this lesson, and you will do these problems on the work sheet itself. Note: on Wed 9/19, there will be a 30-minute quiz covering: midpoint formula distance formula forms of the line equation point-slope form slope-intercept form standard form 2-intercept form the circle equation Completing the square, with the polynomial form of the circle equation. Finding center and radius of a circle. H9:9/19 9/24 Factoring, continued Read and intently study the "Factoring Anything" handout. On the handout sheet, work the following problems: #1-10; #15-17; #28,30. Don't start the trinomials yet. H10:9/19 9/24 More factoring DO THIS ON A SHEET OF PAPER TO BE TURNED IN ON 9/24: Book p333 ODD #3-29. Book p334 ODD #63-81. Make sure to check your answers in the back of the book. H11:9/24 9/26 (a)Review quiz 2C, and make sure you can do all of the problems. Study for a retest of quiz 2C. Do this in your HW notebook: (b) * 1.Read and understand the box on p.65 1.Explain the definition of a relation (as I gave it in class) 2.Explain the definition of a function (as I gave it in class) 3.Is every function a relation? If not, give a counterexample. 4.Is every relation a function? If not, give a counterexample. (c) * pp67-69 #11-26 ALL. (YES or NO for each problem). (d) * Each function below has an unspecified domain. Find the domain of each function: 1. f(x) = sqrt(x-5) 2. f(x) = 1/(x+3) 3. f(x) = 1/x + 2/(x+5) 4. f(x) = 1/(x^2 + 1) denominator = x-squared + 1 5. f(x) = x+7 6. f(x) = 2 H12:9/27 10/1 Functions and Function Transformations This will be done on the worksheet and turned in separately: * Do the Function Transformation assignment (FunctionTransformationAssignment.pdf, on the website) H13:9/27 10/1 Exponent laws (In HW book) Read pp 229-237. Carefully learn boxes pp 229,231, 237. p. 239 ODD # 1-31. (No calculator needed or allowed). More problems ===== Posted Friday 9/28/2012 Completely learn and know boxes p269. Carefully read examples #1,2,3 pp 270-271 * p272 ODD #1-41 and #18 H14:10/1 10/3 Graphing Exponential Functions Handout from class; also on website as GraphingExponentialFunctions.pdf H15:10/1 10/3 Exponents; Logarithm properties Learn the first property in the box on p276 (Log of a product = sum of the logs) * use your calculator to find the following numbers: a. log(7) b. log(2345) c. log(1000000) d. log(12) e. log(3) f. log(4) g. Verify that 3 times 4 is 12, by comparing your answers to (e),(f),(d) * p278 ALL #1-6; #7-10; 33,34,37,38. (NO CALCULATORS) NOTE: quiz on 10/3/2012 will cover: - Functions and relations; domain and range - Functions: finding domain when domain is unspecified - Writing domains as a union of intervals - Function mirroring, shifting - Simplifying exponential expressions (like HW #13) - log(xy) = log(x) + log(y) ; using this - converting between log and exponential expressions - H16:10/3 10/10 Exponents; Logarithm properties * p279 ALL #39-42; ALL #45-50; 51; Learn the change-of-base property (box p.283, or my method) Carefully read p283-284 examples #1,2. * p284-5 ODD #1-9; #12; ODD #13-19. * Challenge problems: p 288 ALL #39-44. H17:10/14 10/15 Graphing Logarithmic Functions. * Do GraphLogs.pdf and turn it in on the worksheet. I realize this HW has been posted very late. Please try to finish it by class on 10/15; but I will accept it up until 10/17. H18A:10/15 10/17 Exponential and logarithmic equations * See Exponential&LogEquations.pdf This assignment takes some concentration. Do your best! Turn in this on the worksheet. H18B:10/20 10/22 Applications of exponential and logarithmic equations Read section 6-14. Read carefully, and work through, the Bacteria example on p301. * pp303-309, problems 1,2,3,4,6,8,9; then do #9 again, (call it #9a) using a more correct C-14 half-life of 5730 yrs. H19:10/23 10/24 Graphing Quadratics Read GraphingQuadraticFunctions.doc (also available as GraphingQuadraticFunctions.pdf) * Do the exercises on page 3. Do these on the page as printed. If you need more space, do the extra work in your HW notebook. Turn in the 3rd page, plus graphs. H20:10/24 10/29 Completing the square. In your HW notebook: * find the roots of each equation in HW19, by using the method of completing the square. Check each answer against your HW#24 result, which you obtained by either factoring or using the Quadratic Formula. Expect a quiz on 10/29 on graphing quadratics. There will be perhaps 4 or 5 problems like HW#20, and maybe one completing-the-square problem. H21:10/31 11/5 Changing quadratic function from polynomial form to vertex form * H21_ChangeToVertexForm.pdf (Do it on the worksheet. use more paper if needed.) Be ready to turn in your HW notebooks on 10/31 The quiz announced for 10/29 will be given on 11/5 Remember: Add/Drop/Pass/Fail deadline is 11/8/2012 H22:11/7 11/12 Solving systems of simultaneous linear equations Method I. (substitution) * Book, p. 117, #1-14 (all). Use the substitution method. Be sure to check ALL of your answers in both equations. H23:11/7 11/12 Solving systems of simultaneous linear equations Method II. (Gaussian Elimination [also called add/subtract]) * Book, p. 117, #1-14 (all). Use the Elimination method. H24:11/12 11/14 Solving systems of simultaneous linear equations Method III. (Cramer's Rule (determinants) ) * Book, p. 124, #1-14 (all). Use Cramer's rule. H25:11/16 11/18 Solving systems of simultaneous linear equations Method IV. (graphing) * Book, p. 117, #1-14 (all). Use the graphing method. Check your answers by comparing them with HW#22. Use graph paper, and for each problem, select the appropriate scale so that your graphs are pretty accurate. With this method, your answers should come out reasonably close to the actual answers. Graph the two lines, and the (x,y) solution is the intersection point. ========================================================================== NOTICE: Class on Wednesday, November 21 has been canceled. The next class will be on Monday, November 26. ========================================================================== H26:11/20 11/26 Solving systems of simultaneous linear equations * p125#19. (all parts) Method V. (matrix inverse method); part A: Matrix operations Read Appendix A, pp. 937-942 * pp 942-944, Exercise A. #1-38 (all) Note: we have not yet learned how to do #31-34. However, the method for inverting a 3x3 matrix is discussed in the reading. I will present this method in class soon. H27:11/26 11/28 Solving 3x3 linear systems by Gaussian Elimination Read pp 138-140. * p141 #1,2,3 Check your solutions in ALL 3 EQUATIONS H28:11/26 11/28 Higher order determinants Read pp 150-152. * p152 #1,2,3. [Note: compare answers with H27] H29:11/26 11/28 Graphing Systems of Linear Inequalities Read pp153-155 * p156-157 ALL #1-10, 15,16 You are sketching these graphs. Be sure to calculate the intersection points! H30:11/26 12/03 Matrix inversion (higher order than 2x2) Complete #31-34 from HW26. H31:12/03 12/05 Linear Programming Example: Read pp 157-161 * p162-167 #1,3,5,7,9. To help you to work the problems, graph the feasible region for each problem. Make the graphs carefully on graph paper. Label each boundary line with its equation. You may use GraphPaper.pdf for graph paper if you wish. H32:12/05 12/10 Difference Quotient Read carefully the handout DifferenceQuotient_129.pdf * Work the problems in your HW notebook. ========================= Review session for the final exam ======= Tuesday, Dec. 11, 5:30pm-7:30pm, Wheatley W1-0012 THE ROOM IS CONFIRMED. =====================================================================