M129. Homeworks assigned. Fall, 2013 Updated 12/10/2013, 7:52 pm ================================================= Math129 : Dr. Leisinger. Fall 2013 semester Name of this file: math.umb.edu/~aleising/M129/Homeworks.txt ================================================= Syllabus for this course: math.umb.edu/~aleising/M129/Math_129_Syllabus.txt Note that other information for this class is provided in Homework #0, below ================================================= Tutoring: There is no special tutoring for Math-129. However, students in my classes might want to try to see one of the tutors for Math 130, XueFen Chen. You will have to give preference to the Math-130 students. But she will be able to help you if she has time. The information for her rooms and times will be found in: math.umb.edu/~aleising/M130/Tutoring.txt ================================================= ALL WORK IS TO BE DONE IN THE HW notebook, unless noted below. NOTE: "*" means "WRITTEN WORK". HW# Date Date Assignment assigned due 0:8/28 9/4 Read math.umb.edu/~aleising/General_Information.txt and follow the directions there. (Do you understand that this is HW#0 ? ) ( The HW # is found in the first column, 3 rows back ) Also: read: math.umb.edu/~aleising/Preparation_For_My_Classes.txt 1:9/04 9/06 Inventory Test (worksheet) DO NOT DO THIS IN YOUR HW NOTEBOOK! All work should be done on the worksheet, on the back of the worksheet, or clearly labeled with problem numbers, the way you would write the problem in you HW notebook. Answers go in the answer column. Use only ink. Show all of your work. No calculator. Time yourself and write down how many minutes you spent on this assignment. You are graded only for completeness; but do not worry if you really can't do some of the problems. Just try them all. The purpose of this assignment is for me to see what you know. 2:9/6 9/9 Field Properties. This homework is done in your HW notebook. It starts on side 5 of your HW notebook. Please write your answers in correct format. Textbook: read "Preliminary Information". Read pp 1-7. * Text pp2-3:#1,2,3,5,7,8,9 Read and learn very well: Field Axioms, pp 4-5 (blue box) There is one more important Field Axiom which the book omits: "One is not equal to zero." * Text pp7-8:#1-10 3:9/9 9/11 Variables;Expressions;Order of Operations Read textbook pp9-14. * Text p15-16. ODD problems #1-41. 4:9/11 9/13 Polynomials NOTE: answers to odd-numbered textbook problems may be found in this directory in: Foerster_Answers_p983.pdf Carefully read textbook pp 16-19. Learn the definitions of: term; monomial; binomial; trinomial; exponent; power; coefficient; degree of a term; degree of a polynomial. [to be discussed in class: total degree] constant; linear polynomial, or first degree polynomial; quadratic polynomial, or second degree polynomial; cubic polynomial, or third degree polynomial; quartic polynomial, or fourth degree polynomial; * pp 19-20 (section 1.4) Q1-Q10 (all); ODD problems #1-33;34 quinntic polynomial, or fifth degree polynomial. 5:9/11 9/13 Multiply & Divide Polynomials Worksheet (done on separate paper) H5_Polynomials.pdf (in this directory) 6:9/16 9/18 Graphing Linear Functions. Read Linear Equations.pdf (handed out in class) Graph the first column on the first side of the Graph Paper (handed out in class) (see GraphForLinearEquationGraphs.pdf ) Graph the second column on the second side of the Graph Paper Use the method described on the notes for graphing a line from the slope-intercept form of the line equation. Graph each line neatly. Use a ruler or straightedge to make a good line. Extend each line all the way across the graph. LABEL each line with the LETTER of its equation. 7:9/18 9/20 Graphs of Functions; Lines Read text p51-56 DO THESE IN YOUR HW NOTEBOOK: * p52 ALL #1-5 * p56-57 ODD #1-11, ALL 13-20. Read text p73-81. * p81-82 ALL #1-22. 8:9/20 9/23 More lines;Distance formula;Circles Read text, pp 462-465. ESPECIALLY p463. Learn VERY WELL the three forms of the distance formula. Equation for a circle. Completing the square for a circle (p464-465 ex.#2) * p467 ALL #13-18 * p466 ALL #1-12 Equation of a line with given slope, and through a given point. Read text pp86-90. Study carefully examples #1-5 * p90-91 ALL #1-10 Slope of a line perpendicular to a given line. (box p.88) 9:9/23 9/25 Shifting Functions: * worksheet: ShiftingFunctions.pdf Factoring: * worksheet: FactoringAnything.pdf; problems #1-10 10:9/25 9/27 More factoring Read and study examples p330-331 #1,2,3 * p333 ODD#3-23. Check your answers AFTER doing the problems. * p334 ALL #63-78. Read and study p338, example 1. * p340 ALL #5-14 ALSO: re-study graphing lines. Read and carefully study examples, pp78-80, #1,2,3 ----- the following information is also found at the top of this file ---- Tutoring: There is no special tutoring for Math-129. However, students in my classes might want to try to see one of the tutors for Math 130, XueFen Chen. You will have to give preference to the Math-130 students. But she will be able to help you if she has time. The information for her rooms and times will be found in: math.umb.edu/~aleising/M130/Tutoring.txt --------------------------------------------------------------------------- 11:9/27 9/30 More factoring. * worksheet: FactoringAnything.pdf; problems #11-30 Note: a few of these problems cannot be factored. we will study that some more next week. 12:9/30 10/02 The discriminant * worksheet: FactoringAnything.pdf; problems #11-30 Finish the problems. Use the discriminant when necessary to show when the trinomials do not factor. * Text, p340, ODD#17-35; #28,30 13:9/30 10/02 The factor theorem. Factoring cubic and quartic polynomials. Learn and understand: blue box p349. * Work example 1, p349, in your HW notebook. You should follow along with the example. * p353 #1,2,3,4 NOTE: FinalExamSchedule.txt in this directory 14:10/3 10/4 More factoring. * pp340-341 ODD #37-57 and 56. * p353 ALL#5-8 NOTE: See MathReviewSession.txt in this directory 15:10/4 10/7 Inequalities & Absolute Value Read Section 1.6,pp 27-30. * pp 31-32 ALL #1-4,7-10. Part (a) only,ALL #15-20. * p 32 Part (a) only for each problem in the list: ALL #21-32 Give answers in two forms: GRAPH, and UNION of INTERVALS 16:10/8 10/9 Exponents. Read text, Section 6.2, pp 230-234. * Text, p234 ODD #1-9 Read text, Section 6.3, pp 236-238. * Text, p239-240 ODD #1-31 * pp341-342 ODD #59-79. 17:10/8 10/11 Graphing Exponential Equations * worksheet: GraphingExponentialFunctions.pdf Note: as of 10/7/2013, we haven't learned how to do this yet. The sheet will be handed out in class on 10/9/2013. 18:10/9 10/16 Rational and fractional exponents. Simplifying radicals,#1. [ This will be reviewed in class on 10/11/2013.] Read text, section 6.4, pp 241-245. Learn thoroughly the 4 blue boxes in that section. Read the 3 examples pp 244-245. * p246-247 #1-6,10; #11-14 (Those are calculator problems.) * p247 ODD#19-45. 19:10/11 10/18 Powers without calculators * p251-2 #1,2, and ODD#3-59 Scientific notation * p257 ODD #1-27 20:10/16 10/18 Function composition; Function inverses Read text, p290, blue box only. Read text, p291-2, examples 1,2 * p293#1,7,9. (part (a) only) * worksheet: Function_Composition_&_Inverses.pdf 21:10/19 10/21 Introduction to Logarithms. Read section 6-9, pp269-271. Study examples #1,2,3. * p272-3 ODD #1-41 and #2,14,32 22:10/22 10/23 Simple Log properties Learn Log Properties, blue box p276 * write out examples p276-277 #1,2,3 in your HW notebook * p278 ALL #1-6. Use a calculator to evaluate each side of each equation. * p278 ALL #7-14. NO CALC! use "facts" given before problem 7. Expect a quiz on 10/23 on: HW#16 HW#17 problems 1-4 HW#18 HW#19 NEXT MATH REVIEW SESSION: Wed. Oct 23, 4-6pm see MathReviewSession.txt in this directory 23:10/23 10/25 More log properties * p279 ALL # 33-44 See Example 2, p. 277 for help in doing these problems. 24:10/26 10/28 NO NEW HOMEWORK, but REVIEW HW#17-23, ESPECIALLY the log exercises and HW#22. 25:10/29 10/30 Change of Base law LEARN blue box p283. * p284 #1-10 all. Use the change of base law, and the "log" button of a calculator, to find answers to these problems. ( the letter "a" in the blue box p283 would be =10). Note that the answers in the book are only correct to a few decimal places. DO NOT ROUND OFF YOUR CALCULATOR ANSWERS. 26:10/30 11/01 Solving exponential equations by logs Read p264-265 examples #1,2 * p267 ODD #1-23 and #22. Solve by taking the log of both sides. But in #19 and #23, you will need to divide by something first. ==> Expect a quiz on Friday on: HW#22,23,25,26 27:11/02 11/04 Exponentials as mathematical models Read text section 6-14, pp 300-302. * Copy the Bacteria Problem example from pp301-302, in your HW notebook. Write out the full solution! Your answer should follow the textbook answer. 28:11/04 11/06 Exponentials as mathematical models * p303 #2, #6. Use the exponential equation f(t) = (A) b^t. NOTE CORRECTION OF HW NUMBER FOR HW 29. 29:11/06 11/08 Exponentials as mathematical models * p307 #9. Use the exponential equation f(t) = (A) b^t. * p321 #T9. 30:11/8 11/13 Compound Interest. pp 602-604 #5,6,7,8 31:11/14 11/15 Graphing Quadratics, part 1 Worksheet: GraphingQuadraticFunctions.pdf * Fill out the first 7 columns on the worksheet. but for the vertex, just do the x-value, not the y-value. 32:11/15 11/18 Graphing Quadratics, part 2 Worksheet: GraphingQuadraticFunctions.pdf * Finish all of the columns on the worksheet. * Graph the quadratics on the graph paper provided in class __:11/18 11/20 No new homework. Finish HW#32. 33:11/21 11/22 Graphing quadratics, part 3. * p187 #21,23,24,25,27,30 In the problems below, follow the text directions; but also, FIND THE ROOTS AS WELL. SKETCH THE LINE OF SYMMETRY, TOO. * p187 #33,35,38,42. __:11/23 11/25 No new HW. Please catch up in all of your older assignments. Begin reviewing for the final exam. Especially review HW#31,32,33. Be ready for another quiz like the one from Friday 11/23. 34:11/30 12/02 Use the method taught in class to convert each quadratic function into vertex form: (a) f(x) = 5x^2 + 3x - 1 (b) f(x) = 2x^2 + 3x - 4 35:12/03 12/04 Systems of Linear Inequalities. Read text pp 153-155. * Copy examples pp154-155 #1,2 in your HW notebook. 36:12/03 12/04 Linear Programming #1. Read text pp 157-161. * Copy the example pp 157-161 in your HW notebook. * p162#1 [ Try to do this problem by 12/4. [ If you can't finish it by then, have it done by 12/6.] NOTE: Practice problems for the Math129 final exam are here. They are on this website as: "129 Practice Probs.pdf" 37:12/04 12/06 Linear Programming #2. * p162-169 #2,9 USE GRAPH PAPER (on this website) to draw your graphs precisely. LABEL YOUR AXES CORRECTLY. In class, I was too sloppy. Also, when I drew the graph for p162#1, I drew the G=2B line (really, B = (1/2)G ) with slope 2, when it should have had slope 1/2; because I had B as the vertical axis, G as the horizontal axis. 38:12/04 12/09 Quadratic Vertex Form, again [part A] Use the method taught in class to convert each quadratic function into vertex form: * (d) f(x) = -3x^2 + 4x - 5 * (e) f(x) = 6x^2 - 5x - 6 * (f) f(x) = 3x^2 - 18x + 27 [part B] Set y=0 in the vertex form, to find the roots of each. [part C] Use the Quadratic Formula to find the roots of each. Do the roots agree? [part D] Very quickly sketch the graph of each function. Use the vertex form and the y-intercept ONLY. You are sketching, not graphing. No need to be exact. [part E] Use the discriminant to see if the original f(x) can be factored over the integers. If so, factor it. Use the factored form to find the roots. Are these roots the same ones you found in part B,C? 39:12/09 12/11 Difference Quotient * Worksheet: DifferenceQuotient_129.pdf * do as many of the problems at the bottom of the sheet as you can. 40:12/11 12/13 Amortization and Sinking functions THIS HOMEWORK WILL BE PROVIDED BY 12/11. 41:12/10 12/13 Linear Programming Easy Problems * Linear_Programming_EasyProblems.pdf (in this directory) These are three easy problems. They are not "word problems". PLEASE READ YOUR UMB EMAIL AND FILL OUT THE SURVEY AS DIRECTED!