M115. Homeworks assigned. Dr. Leisinger, Spring 2014. Updated 5/08/2014, 10:34 pm Name of this file: http://math.umb.edu/~aleising/M115/Homeworks.txt ============================================================= Syllabus for course: http://math.umb.edu/~aleising/M115/Math_115_Syllabus.txt Note that other information for the course is provided in Homework # 0, below ============================================================= Tutoring available: see Tutoring.txt in this directory. ============================================================= 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 0:1/24 1/28 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 1:1/24 1/30 Inventory Test (worksheet) DO NOT DO THIS IN YOUR HW NOTEBOOK! The inventory test is a handout. All work should be done on the answer sheet, on the back of the answer sheet, 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. NOTE: HW#2 and HW#3 are to be done in your HW notebook. 2:1/28 2/4 Number systems and Field Axioms. Start this HW; but it will be due on Tuesday, 2/4 This HW is from the textbook. The first 21 pages of the text are in a file in this directory. That file is Foerster_p1-20.pdf ; the answers to the problems are in "Foerster_Answers_p983.pdf a) carefully study the table on the left page facing page 1. There are two errors on this table. Error 1: the definition of transcendental numbers is almost OK. Error 2: the "Whole Numbers" are left out. Where would you put them? b) carefully read section 1.1 and 1.2. Learn the table on pp 4-5 VERY WELL. You will be tested on it soon. DO IN YOUR HW Notebook: * p2 #1,6,7,8,9 * p7 #1-10. [NOT Q1-Q10] 3:2/1 2/4 Variables & Order of Operations Read Section 1-3. DO IN YOUR HW Notebook: * p 14-15 Q1-Q10 * p 15-16 ODD #1-39 AND #14,#40 4:2/4 2/6 Graphing Linear Equations, part I. (handout in class, also on the website as: "Linear Equations.pdf". Study very well and learn this handout. * Graph the two columns of linear equations from the bottom of the handout. Column 1 goes on one side of the graph paper; Column 2 goes on the other side of the graph paper. The graph paper is also posted on the website as: GraphForLinearEquationGraphs.pdf ALSO: study the inventory test and try to understand how correctly to do the problems that you missed. 5:2/08 2/11 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. 6:2/08 2/11 More lines; point-slope form of a line. Equation of a line with given slope, and through a given point. Slope of a line perpendicular to a given line. (box p.88) Read text pp86-90. Study carefully examples #1-5. In your HW notebook: * Work each example by yourself, and compare with the text. Or, if that is too difficult, copy each example into your HW notebook. * p90-91 ODD #1-13 7:2/11 2/13 Parallel and perpendicular lines Learn box, p.88. Read example 3, p.88. Do this HW on a sheets of paper small enough to be glued, taped or stapled into your HW notebook. * p91 ODD# 15-31; p92 #34. Read p94-95 and examples #1,2. * p98 # 1,5,8,9,15 8:2/11 2/18 Inequalities and Absolute Value Note: as of 2/11 class, we haven't studied absolute value yet. Read pp 27-31. 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.) 9:2/18 2/20 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 #13. Read section 7.3 pp 328-331, Examples #1,2,3. * p333 ODD #3-19, and #20. 10:2/21 2/25 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. Re-read 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 * p333-4 ODD #23-49,#63-85 11:2/21 2/25 More circles * p466 #13 (again, see HW#9, first part). (a) find the distance from (7,5) to (3,-2). (b) Using that distance as the radius, Write the equation for that circle. * p466 #14-18 12:2/25 2/27 Factoring #2; more circles NOTE: p466 #49 has a CORRECT answer in the book. Read section 7.4 pp 336-337. * p340 #5-10,11,13,15,16 (READ TEXTBOOK DIRECTIONS for #15,16) * In your HW notebook: work the first ten problems on the * "Factoring_Anything.pdf" sheet. Completing the square in the circle formula: Carefully read and understand the EXAMPLE on pp464-465. * p466#1,2,7,8 13:3/01 3/04 Factoring #3; more circles * In your HW notebook, work these problems from the * "Factoring_Anything.pdf" sheet: #11,12,15-18,22,23,28,30 * Textbook p466#3-6,9-12. First, by completing square, find the equation in standard form. Then, sketch the graphs in your HW notebook. ==> prepare for a quiz on factoring and circles. 14:3/04 3/06 Factoring #4; * complete the worksheet: Pascal_Triangle.pdf, to be turned in. * Finish "Factoring Anything" (EXCEPT #31,32) * Put the answers on your Factoring Anything" worksheet. ==> Prepare for a quiz on factoring and circles. ==> Be ready for another quiz on inequalities. 15:3/06 3/11 Factoring #5: * p340 ODD #17-43,47-51; ALL# 55-61. 16:3/11 3/13 Factoring #6; Quadratic functions #1. Go over your answers to "Factoring Anything" (EXCEPT #31,32) and check these answers against the answer sheet! (answer sheet was handed out in class today). Be sure you can do all of these problems! ==> Prepare for a quiz on factoring and circles. ==> Be sure you know how to complete the square [see the top blue box on p177]. ==> Be ready for another quiz on inequalities. Quadratic functions: Learn the box, p174. * p179 ALL #1-8 17:3/16 3/25 Converting a quadratic to vertex form. USE THE METHOD POSTED ON-LINE, rather than the book method. See: ConvertQuadraticToVertexForm_N.docx [NOTE: the book gives the vertex as an answer. [But I am looking for the equation in vertex form: y - k = a (x - h)^2 , as well as the vertex and the graph. Convert each quadratic to vertex form: * p180 ALL #19-26. 18:3/28 4/01 Quadratic Function skills sheet Complete the table handed out in class. 19:4/01 4/03 Graphing quadratic functions * On the graph paper provided in class, graph the 14 quadratic * functions given as HW#18. Expect a quiz on this topic on 4/3. 20:4/01 4/03 Exponents Learn the properties of exponents. boxes, p237,242-244. * p234 ODD #1-9 (parts a,b,c) * p239 ODD #1-31,32 21:4/05 4/08 More solving and graphing quadratic functions * p186-7 ODD#1-11; p187 ODD#21-29; p187#31-43. * For #31-43, sketch the graphs in your HW notebook. 22:4/08 4/10 Systems of linear equations--Intro; ELIMINATION Read section 4-2, pp 112-116. Pay close attention to the three cases shown in the graphs,p116. * Work through the example, pp 111-112, Exercise 4-1 * Work examples 1 and 2, pp 114-115 in you HW notebook. You will be using the method of ELIMINATION (also called Gaussian Elimination, or the add/subtract/multiply method) to work the next set of problems. * p117 ALL #1-10. 23:4/12 4/15 Systems of linear equations--SUBSTITUTION Using the method of SUBSTITUTION, do these problems: * p117 ALL #1-10. * Check your solutions by substituting the (x,y) solution * in both equations in the system. 24:4/14 4/17 Matrices Appendix A, ALL,#1-30,35. [No answers are given in the text]. 25:4/20 4/22 Systems of linear equations--MATRIX INVERSE METHOD Using the method of MATRIX INVERSE, do these problems: * p117 ALL #1-10. * Check your solutions by multiplying the column matrix [x,y] * on the left by the coefficient matrix M. 26:4/22 4/24 Systems of 3 linear equations--ELIMINATION METHOD Read p133-140. The example p139-140 was done in class. Using the method of ELIMINATION, do these problems: * p141 ALL #1-4. * Check your solutions by multiplying the column matrix [x,y,z] * on the left by the coefficient matrix M. 27:4/24 4/29 Systems of 3 linear equations--MATRIX INVERSE METHOD Read the example "Inverse of a higher order matrix", p940-941. Work this example in your HW notebook: * Find the inverse of the matrix M at the very bottom of p940. Using the method of MATRIX INVERSE, do these problems: * p141 ALL #1-4. * The answers should agree with HW#26. * on the left by the coefficient matrix M. 28:4/29 5/01 Simplifying Radicals, part 1. Study to finish the quiz on: Systems of 3 linear equations--MATRIX INVERSE METHOD * pp 417-420, work examples #1,#4 only. p 420-421, #1, ODD #5-19, ODD #29-37 PRACTICE MATERIALS FOR FINAL EXAM, from Prof. Zaleskas: in this directory. 2014_Spring_practice_problems.pdf 2014_Spring_practice_problems_Answers.pdf =================== MATH_REVIEW_THURSDAY_MAY_15_2014 ============== See: MATH_REVIEW_THURSDAY_MAY_15_2014.txt Math 115 Review: 8:30-11:30 am, Thursday, 5/15/2014--Leisinger Place: Wheatley 1-0005 I apologize for the late notice. I wasn't able to get room confirmation until late Wed. afternoon, but I had to rush out and was away from email until just now. For those who can't make this session, you could come to a joint review session Friday, 5/16/2014 from about 10:30-12 noon, in W1-0006. The Friday session will be run jointly by both professors Leisinger. It will start at 8am with Math-130. It will continue at 10:30 or so with subjects common to both classes. ====================================================================