M115. Homeworks assigned. Dr. Leisinger, Summer 2014. Updated 8/18/2014, 4:00 pm. Name of this file: http://math.umb.edu/~aleising/M115/Homeworks.txt ============================================================= Syllabus for course: Math_115_Syllabus.txt http://math.umb.edu/~aleising/M115/Math_115_Syllabus.txt Note that other information for this course is provided in Homework #0, below ============================================================= Please note that the numbers below in the first column are the homework # for each assignment ! ======= NOTE: "*" means "written work" HW#, Date Date Assignment Assigned Due 0:7/10 7/14 Read http://www.math.umb.edu/~aleising/General_Information.txt and follow the directions there (DO YOU UNDERSTAND THAT THIS IS Homework #0 ?) (The Homework # is found in the first column three lines back) Also: read: http://www.math.umb.edu/~aleising/Preparation_For_My_Classes.txt 1:7/10 7/14 Inventory Test Please go to the file ./InventoryTest.docx in this directory. Print a copy of the test. Work the problems. (If you are unable to print the test, copy it with its format onto a piece of paper.) YOU ARE NOT BEING GRADED ON CORRECTNESS, but only on completion. However, I would like to see how well you can do. DO NOT USE A CALCULATOR. 2:7/10 7/14 Number Systems and Basic Operations. This is a reading assignment. Study, learn, and read very carefully, the document "NumberSystems_notes.pdf" in this directory. * You may if you wish, do the Exercise and Challenge Problem. * Work these problems on paper arranged in the format * described as in HW#0. 3:7/14 7/15 Variables & Order of Operations Read Section 1-3. IN YOUR HW NOTEBOOK: * p 14-15 Q1-Q10 * p 15-16 ODD #1-39 AND #14,#40 4A:7/14 7/15 Factoring a natural number Learn: the notes on FactoringNaturalNumbers.pdf * Work the exercise at the end. 4B:7/14 7/16 Inequalities and Absolute Value Read pp 27-31. IN YOUR HW NOTEBOOK: Work examples #1-5. * pp 31-32 Q1-Q7, #1-4,#7-10. Do ODD#15-31, PART (a) ONLY. (That means, always use the Real Numbers for #15-31.) 5:7/15 7/16 Graphing Linear Equations, part I. See "Linear Equations.pdf". on this website. THIS HW IS DONE ON THE GRAPH PAPER, NOT IN YOUR NOTEBOOK. Study very well and learn this handout. * Graph the two columns of linear equations from the bottom of the handout. You need TWO copies of the graph handed out in class. You may print another from GraphForLinearEquationGraphs.pdf in this directory. Column 1 goes on piece of the graph paper; Column 2 goes on the other piece of graph paper. 6:7/15 7/16 Graphs of Functions: Lines Read text p51-56 DO THESE IN YOUR HW NOTEBOOK: * p52 ALL #1-5 * p56-57 ODD #1-11,#4; ALL 13-20. Read text p73-81. * Sketch the following graphs in your HW notebooks. * put each line on a different graph. * p81-82 ODD #1-23 and #22. -:7/16 7/17 NO NEW HW. Study for inequalities quiz, and a quiz on graphing lines 8:7/19 7/21 Products and factoring, #1 Read and try to understand the "Factoring Anything" handout. (on this website: Factoring_Anything.pdf) Don't work the problems on that sheet yet. Read Textbook, section 7.3 pp 328-332. Especially: Conjugate Binomials (box, p329) Product of any polynomials (p329-330) p331, Example #3 Last 12 lines of page 331 ALL OF THE FOLLOWING IS TO BE DONE IN YOUR HW NOTEBOOK: * Textbook p333-4 ODD #23-49,#63-85 * Work these problems from the "Factoring_Anything.pdf" sheet: * Show work in your HW notebook * Factoring Anything, #1-12,15-18,22,23,28,30 9:7/16 7/21 Factoring #2; * Finish "Factoring Anything" (EXCEPT #31,32) * Put the answers on your Factoring Anything" worksheet. Note: we are not done with factoring. Do the best you can. If there are problems you can't do, try your best, but don't take forever on any particular problem. Study for a quiz on graphing lines. 10A:7/22 7/23 Pascal's Triangle * complete the worksheet: Pascal_Triangle.pdf, to be turned in. 10B:7/22 7/23 Factoring #3; * p340 ODD #17-43,47-51; ALL #55-61 11:7/23 7/24 Factoring #4. * p340 ODD #63-79 12:7/23 7/28 Quadratic Function skills sheet Learn the skills on the skills sheet handed out in class. This skills sheet is found as GraphingQuadraticFunctions.pdf * Complete the table:see GraphingQuadraticFunctionsExercises.pdf 13:7/23 7/29 Graphing quadratic functions * On the graph paper provided in class, graph the 14 quadratic * functions given as HW#12. * [This graph paper is also at: GraphForQuadraticGraphs.pdf Expect a quiz on this topic on 7/30. __:7/29 7/30 STUDY MULTIPLICATION TABLES; REVIEW PAST WORK. No new written work. 14:7/30 7/31 Function composition, and function inverse READ VERY CAREFULLY: Section 6-12, pp289-292. You may ignore the FIRST SENTENCE in section 6-12. Also ignore the FIRST THREE SENTENCES in the second paragraph of section 6-12. * Copy p291-292,examples #1 and #2, into your HW notebook. * p292 Q2,Q4,Q6-Q10. p293 ALL#1-12,#17-24,26-30.35. 15:8/4 8/5 Circles Read pp461-464. Do not read the example on p464, yet. READ AND LEARN WELL: distance formula p463, all 3 forms. Understand the picture 9-2d (p465). The "<" sign means that the solution points are INSIDE. * p466 ALL #1-18. * How to do #13: * p466 #13 (a) find the distance from (7,5) to (3,-2). (b) Using that distance as the radius, Write the equation for that circle. ON Wednesday, 8/6 expect quizzes on these subjects: Multiplication Facts Factoring Graphing quadratics Function composition and function inverse 16:8/5 8/7 Systems of Linear Equations (I) Read chapter 4 section 1 & 2, pp 111-116. Pay special attention to the three examples pp 112-115, and THE THREE PICTURES p116. These three pictures show the three different cases that can occur with a pair of lines in the plane. LEARN THE NAMES FOR THE THREE CASES: (a) INCONSISTENT(parallel lines; no solutions) (b) DEPENDENT (2 equations for the SAME line; many solutions) (c) INDEPENDENT (2 intersecting lines; a single solution) * p117 ALL #1-10. SOLVE BY SUBSTITUTION METHOD. [ for the substitution method, see p119 after #42.] 17:8/7 8/11 Systems of Linear Equations (II) * p117 ALL #1-10. SOLVE BY ELIMINATION METHOD. 18:8/11 8/12 Systems of Linear Equations (III) * p117 ALL #1-10. SOLVE BY GRAPHING. For this exercise, use graph paper for each problem. Draw your graphs NEATLY and PRECISELY. Find the solution point on your graph. Compare your answers to those in HW#16 and HW#17. 19:8/11 8/13 Systems of Linear Equations (IV); Determinants & Cramer's Rule Read section 4-3 pp 120-123 Learn: blue box p121. * Copy, or work, examp e p122-123 in your HW notebook. * p124 ALL #1-10. SOLVE BY Cramer's Rule. 20:8/11 8/14 Matrix operations Read Appendix "A", pp 937-941. Skip the "Inverse of a Higher Order Matrix" pp 940-941 for now. * p942 ALL #1-16. (matrix +,-,*). There is no matrix division. * p942 ALL #17-22. (matrix inverse of a 2x2 matrix) 21:8/14 8/18 Systems of Linear Equations (V); Matrix Inverse method * p117 ALL #1-10. SOLVE BY MATRIX INVERSE METHOD 22:8/18 8/19 Fractional Equations Read p378-379. * What is an extraneous root (give the answer!) * p 380-381 #1,2,3,5, ODD#21-31 23:8/18 8/19 Radical Equations Read p425-427. * p428 ODD#1,5-13,23,25,27. =============================================================== NO ASSIGNMENTS BELOW HERE. DO NOT READ BELOW THIS LINE. 8/18/2014 ===============================================================