ࡱ> '` ebjbjLULU 0.?.?]|Xp0000  $hH -Z ZZ-00B^^^Z00^Z^^70 z  X0TjT(T  0;"^]y --T ZZZZbg?g MTH 132 (sec 201) Syllabus Spring 2011 CRN 3170 Prerequisites: A good high school algebra background together with a Math ACT of 24 or higher, or completion of MTH 127 or 130 with a C or higher Course Objectives : To learn about functions used in calculus including polynomial, rational, exponential, logarithmic, and trigonometric. To be able to solve systems of equations and inequalities, to study conic sections, polar parametric equations, sequences and series and the binomial Theorem. ( 5 credit hours ) Meeting time : M F 8 8:50 am Room 514 Smith Hall Instructor : Dr. Alan Horwitz Office : Room 741 Smith Hall Phone : (304)696-3046 Email :  HYPERLINK mailto:horwitz@marshall.edu horwitz@marshall.edu Text : College Algebra and Trigonometry , Narasimhan, Houghton Mifflin Grading : attendance 5% (34 points ) surprise quizzes 15% (100 points) probably 4 major exams 60% (400 points) Note: If we have a 5th exam, then I will count the highest four exam scores final( comprehensive ) exam 20% (133 points) Final exam date: 8 - 10 am on either Monday May 2 or Thursday May 5, 2011( we'll discuss in class ) General Policies : Attendance is required and you must bring your text and graphing calculator (especially on quizzes and exams ). You are responsible for reading the text, working the exercises, coming to office hours for help when youre stuck, and being aware of the dates for the major exams as they are announced. The TI-83 will be used in classroom demonstrations and is the recommended calculator, but you are free to use other brands (although I may not be able to help you with them in class). Exam dates will be announced at least one week in advance. Makeup exams will be given only if you have an acceptable written excuse with evidence and/or you have obtained my prior permission. I dont like to give makeup exams, so dont make a habit of requesting them. Makeups are likely to be more difficult than the original exam and must be taken within one calendar week of the original exam date. You cant make up a makeup exam: if you miss your appointment for a makeup exam, then youll get a score of 0 on the exam. If you anticipate being absent from an exam due to a prior commitment, let me know in advance so we can schedule a makeup. If you cannot take an exam due to sudden circumstances, you must call my office and leave a message or email me on or before the day of the exam! Surprise quizzes will cover material from the lectures and the assigned homework exercises. These can be given at any time during the class period. No makeup quizzes will be given, but the 2 lowest quiz grades will be dropped. The sum of your quiz scores ( after dropping the two lowest) will be scaled to a 100 point possible maximum, that is, to 15% of the 667 total possible points in the course. In borderline cases, your final grade can be influenced by factors such as your record of attendance, whether or not your exam scores have been improving during the semester, and your class participation. For example, if your course point total is at the very top of the C range or at the bottom of the B range , then a strong performance on the final exam can result in getting a course grade of B, while a weak performance can result in getting a C. Attendance Policy : This is not a DISTANCE LEARNING class! Attendance is 5% of your grade( 34 points total). If your grade is borderline, these points can be important in determining the final result. Everyone starts out with 34 points, then loses 2 points for each class missed. Doing boardwork problems (see below) is a way to win back those lost points. Your attendance score will be graded on a stricter curve than your exam scores. Having more than 3 weeks worth of unexcused absences (i.e., 15 of 70 lectures ) will automatically result in a course grade of F! Being habitually late to class will count as an unexcused absence for each occurrence. Carrying on conversations with your neighbor , as well as engaging in other forms of disruptive behavior, could be counted as an unexcused absence. Walking out in the middle of lecture is rude and a distraction to the class ; each occurrence will count as an unexcused absence. If you must leave class early for a doctors appointment , etc., let me know at the beginning and Ill usually be happy to give permission. Absences which can be excused include illness, emergencies, or official participation in another university activity. MTH 132 (sec 201) Syllabus Spring 2011 ( continued ) Documentation from an outside source ( eg. coach, doctor, court clerk) must be provided. If you lack documentation, then I can choose whether or not to excuse your absence. HEED THIS WARNING: Previously excused absences without documentation can, later, instantly change into the unexcused type if you accumulate an excessive number ( eg. more than 2 weeks worth ) of absences of any kind, both documented and undocumented : You are responsible for keeping track of the number of times youve been absent. I wont tell you when youve reached the threshold. Attendance will be checked daily with a sign-in sheet. Signing for someone other than yourself will result in severe penalties!! Signing in, then leaving early without permission will be regarded as an unexcused absence. Sleeping in Class : Habitual sleeping during lectures can be considered as an unexcused absence for each occurrence. If you are that tired, go home and take a real nap! You might want to change your sleeping schedule, so that you can be awake for class. Policy on Cap Visors : During quizzes and exams, all cap visors will be worn backward so that I can verify that your eyes arent roaming to your neighbors paper. Cell Phone and Pager Policy : Unless you are a secret service agent, fireman, or paramedic on call, all electronic communication devices such as pagers and cell phones should be shut off during class. Violation of this policy can result in confiscation of your device and the forced participation in a study of the deleterious health effects of frequent cell phone use. Policy on Cheating : Don't. Don't even help your neighbor cheat. If I suspect you are, then you'll get a 0 on that quiz or exam, and worse. Addendum to MTH 132 Syllabus : I would like to motivate greater participation in class. Frequently, I will be selecting a few homework problems so that volunteers can post their solutions immediately before the start of the next lecture. For each solution that you post on the board ( and make a reasonable attempt on ) , I will ADD 2 points to your total score in the course. Boardwork points can help determine your final grade in borderline cases and can help you to recover points lost from your attendance score. ( They will not cancel your accumulation of unexcused absences, which can result in failing the course if you have too many ) Rules for doing boardwork follow: RULES FOR DOING BOARDWORK : 1. Ill assign a selection of homework exercises to be posted for the next lecture. 2. Arrive early!! Have your solutions written on the board by the beginning of the class period. Be sure to write the page number of the problem. Read the question carefully and be reasonably sure that your solution is correct and that you have showed the details in your solution. 3. Dont post a problem that someone else is doing. On choosing which problem you do, remember : The early bird gets the worm ! 4. Write small enough so that your neighbors also have space to write their problems. I dont want territorial disputes. Also write large enough for people in the back rows to see. 5. Work it out, peaceably among yourselves, about who gets to post a problem. Dont be greedy: if you frequently post problems, give someone else an opportunity if they havent posted one recently. On the other hand, dont be so considerate that nobody posts any problems. 6. Circle your name on the attendance sheet if youve posted a problem that day. Use the honor system: dont circle for someone else. The number of problems on the board should match the number of circled names on the attendance sheet. Make sure you also keep a record in your notes, just in case I lose the attendance sheet. TOPICS IN NARASIMHAN BOOK( darker font topics will be covered in MTH132 ) P.1. interval notation for open, closed, half-open & unbounded intervals P.2. laws of exponents, rewriting expressions to have positive exponents P.3. radical notation, simplifying radical expressions rational exponents, simplifying expressions with rational exponents rationalizing denominators P.6. simplifying rational expressions, multiplying rational expressions using LCD to help add/subtract rational expressions simplifying complex fractions 1.1 relations & functions domain and range evaluating functions 1.2 graphing by plotting points vertical line test judging domain and range from a graph x and y intercepts 1.3 linear functions and slope of a line equations of horizontal and vertical lines point slope form and slope intercept form parallel and perpendicular lines 1.5 solving linear equations finding point of intersection for two lines solving linear inequalities, solving compound inequalities 2.5 solving absolute value equations solving absolute value inequalities 2.6 graphing piecewise functions 3.1 vertex, axis of symmetry and shape of parabolas vertex form & standard form for quadratic functions graphing parabolas 3.2 solving quadratic equations by factoring, quadratic formula importance of the discriminant solving quadratic equations by using principle of square roots completing the square dividing one complex number by another 3.3 adding, subtracting, multiplying complex numbers complex conjugates division of complex numbers powers of i 4.3 long division of polynomials division algorithm Remainder Theorem and Factor Theorem synthetic division 4.4 using known zeros to help factor a polynomial using the Rational Zeros Theorem to find candidates for zeros 4.5 Fundamental Theorem of Algebra and the Factorization Theorem multiplicity of a factor, of a zero factoring polynomials with real and complex zeros designing a polynomial to have given real zeros TOPICS IN NARASIMHAN BOOK(continued) 4.7 using sign charts and test points to solve polynomial and rational inequalities 5.1 concept of inverse function verifying two functions are inverses solving for the inverse function one to one functions have inverses horizontal line test for checking "one to oneness" how to sketch the graph of an inverse function 5.2 graphing exponential functions properties of exponential functions base e 5.3 definition of logarithm base a, evaluating logarithms without a calculator natural and common logarithms converting logarithmic form to exponential form and vice versa solving simple logarithmic equations using the change of base formula graphs of logarithmic functions 5.4 algebraic properties of logarithms expanding a single logarithm into sums/differences of logarithms combining sums/differences of logarithms into a single logarithm 5.5 solving exponential equations using algebraic properties to help solve logarithmic equations how to avoid extraneous solutions: check answers in original equation 5.6 exponential growth models and doubling time radioactive decay models and half life 6.1 positive and negative angles, coterminal angles measuring angles in degrees, minutes and seconds converting degrees to radians and vice versa arclength formula how linear speed is related to angular speed 6.2 "right triangle" definitions of sine, cosine and tangent for acute angles:SOH CAH TOA using cofunction identities to find trig function values of complementary angles sines and cosines of special acute angles 6.3 definitions of trig functions for angles on a circle of radius r reciprocal trig functions: cosecant, secant, cotangent using reference angles to find trig functions for non-acute angles using the value of one basic trig function and the quadrant of the terminal edge to find the value of the other five basic trig functions TOPICS IN NARASIMHAN BOOK(continued) 6.4 unit circle definitions of the basic trig functions sines and cosines of special angles in 1st quadrant of unit circle using reference angles to help find sines and cosines of special angles outside of the 1st quadrant the three Pythagorean Identities negative angle identities 6.5 properties of graphs of cosine and sine: domain and range, period and amplitude hand sketching graphs of transformed sine and cosine functions: phase shift and starting point, period and ending point of one cycle, axis of periodicity, basic shape of graph, amplitude given a picture of a transformed sine or cosine graph, figure out what the equation is 6.6 sketching graphs of tangent and cotangent, secant and cosecant 6.7 using concept of restricting the domain to define inverse functions for sine, cosine, tangent definition of arcsine, arccosine, arctangent : know their domains and ranges simplifying compositions of trig functions with inverse trig functions: sometimes a picture of a right triangle helps 7.1 proving trig identities: using trig identities and substitution to make one side look like another 7.2 identities for sine , cosine and tangent of sum/difference of angles co-function identities how to rewrite a sum of sine and cosine terms as a single sine term 7.3 double angle identities and power reducing identities using half angle identities to evaluate trig functions at half the value of a familiar angle product to sum identities 7.4 solving trigonometric equations 8.1 Law of Sines solving AAS and ASA triangles solving SSA triangles: one solution, two solutions or no solution finding area of an oblique triangle 8.2 using the Law of Cosines to solve SSS triangles 8.3 converting rectangular to polar coordinates and vice versa 8.4 hand graphing polar equations TOPICS IN NARASIMHAN BOOK(continued) 8.5 standard position of a vector writing a vector in component form computing magnitude of a vector finding the direction angle of a vector addition, subtraction and scalar multiplication: algebraic computation and parallelogram law method finding a unit vector in the direction of a given vector applications to net velocity and net force 8.6 computing dot product of vectors using dot product to compute angle between vectors testing if vectors are orthogonal using dot products to compute work done by a force vector computing projection of one vector on another vector orthogonal decomposition of vectors 8.7 plotting a complex number in the coordinate plane converting a complex number from standard form to polar form and vice versa using polar form to multiply, divide complex numbers using DeMoivres Theorem to raise complex numbers to powers finding roots of complex numbers in polar form 9.1 solving system of two equations and two unknowns: substitution and elimination methods solving systems of linear inequalities by graphing 9.2 solving systems of three equations by Gaussian elimination 9.3 augmented matrix for a system of linear equations elementary row operations recognizing row reduced echelon form Gauss-Jordan method of solving systems of equations 9.4 addition, subtraction, and scalar multiplication of matrices additive inverse of a matrix, the zero matrix knowing when you can multiply matrices together computing a product of matrices 9.5 the identity matrix definition of the multiplicative inverse of a square matrix Gauss-Jordan method of finding an inverse, if it exists using inverses to solve matrix equations 9.6 determinants of 2x2 & 3x3 matrices Cramers Rule 9.7 partial fraction decompositions 9.8 techniques for solving systems of non-linear equations TOPICS IN NARASIMHAN BOOK(continued) 10.1 directrix and focus, axis of symmetry and vertex of parabola equations of parabolas with vertex at (0,0), at (h,k) 10.2 foci, major axis and minor axis of ellipse standard equation of ellipses centered at (0,0), at (h,k) 10.3 foci and transverse axis of hyperbola standard equation of hyperbolas centered at (0,0), at (h,k) 10.4 change of coordinates by rotation of x and y axes general equation of conic section rotating axes to rewrite conic section equation in new variables to eliminate mixed variable terms graphing rotated conics 10.5 focus-directrix definition(eccentricity) of ellipses, parabolas, and hyperbolas deriving polar equations of ellipses, parabolas and hyperbolas identifying a polar equation as an ellipse, parabola or hyperbola 10.6 graphing parametric equations of plane curves by plotting points, by converting to rectangular form parametric equations of circles, ellipses, projectile motion 11.1 forms of arithmetic sequences and geometric sequences 11.2 formulas for sum of 1st n terms of an arithmetic sequence, of a geometric sequence summation notation formula for sum of an infinite geometric series 11.3 using a rule to define a sequence finding a rule to describe terms of a sequence generating terms of a recursively defined sequence Fibonacci sequences nth partial sum of a sequence 11.4 Multiplication Principle of counting factorial notation formulas for counting permutations and combinations combinations of objects selected from different sets 11.5 directly computing the probability of an outcome in an event probabilities of mutually exclusive events, of complement of an event 11.6 binomial expansions: ith binomial coefficient and ith term of binomial expansion Binomial Theorem 11.7 principle of mathematical induction proving formulas by mathematical induction MTH 132 (sec 201) Syllabus Spring 2011 The following brisk schedule optimistically assumes we will cover a multitude of topics at a rapid pace: approximately 4 sections per week! Realistically speaking, we may surge ahead or fall somewhat behind, but we cant afford to fall too far off the pace. The major exams will be roughly on the 3rd, 6th, 9th, and 13th weeks, plus or minus one week. Their precise dates will be announced at least one week in advance and the topics will be specified ( and may possibly differ from what is indicated below). Come to class regularly and you wont be lost. . WeekDates Spring 2011  Approximate schedule : Sections covered and topics Actual date covered11/10- 1/14P.6 1.2 1.3 1.521/18- 1/21 MLK day on 1/174.4 4.5 4.7 5.1 31/24- 1/28 5.2 5.3 5.4 EXAM 1 41/31- 2/45.5 5.6 6.1 52/7- 2/116.2 6.3 6.4 6.5  62/12- 2/166.6 6.7 7.1 EXAM 272/21-2/25 7.2 7.3 7.4 WeekDates Spring 2011  Approximate schedule : Sections covered and topics Actual date covered82/28- 3/48.1 8.2 8.3 93/7- 3/118.4 8.5 8.6 EXAM 3103/14- 3/18 (Last day to drop on 3/18) SPRING BREAK next week8.7 9.1 9.2 9.3 113/28- 4/19.4 9.5 9.6 9.7124/4- 4/8 (ASSess- ment day on 4/6 ) 9.8 10.1 10.2 10.3 EXAM 4 134/11-4/1510.4 10.5 10.6 11.1144/18-4/22 11.2 11.3 11.4 15 4/25-4/29 Week of the Dead11.5 11.6 11.7 Review if we have time, or we may schedule it outside class hours  Student Support Services: 0. Office Hours. Schedule to be announced. 1. Math Tutoring Lab, Smith Hall Room 526. Will be opened by the start of 2nd week of classes 2. Tutoring Services, in basement of Community and Technical College in room CTCB3. See  HYPERLINK "http://www.marshall.edu/uc/TS.shtm" http://www.marshall.edu/uc/TS.shtm for more details. 3. Student Support Services Program in Prichard Hall, Room 130. Call (304)696-3164 for more details. 4. Disabled Student Services in Prichard Hall, Room 120. See  HYPERLINK "http://www.marshall.edu/dss/" http://www.marshall.edu/dss/ or call (304)696-2271 for more details MTH 132 (sec 201) Syllabus Spring 2011 Keeping Records of Your Grades and Computing Your Score Quiz#1234567891011121314score Raw Quiz Score= sum of all, but the two lowest quiz scores Adjusted Quiz Score =  EMBED Equation.3 Raw Quiz Score Exam #1234score Exam Total = sum of all exam scores(not including the final exam) grade range forExam 1Exam 2Exam 3Exam 4average of range values for all four exams A B C D  Absence #1234567891011121314151617Date absentExcused? Y or N?Attendance Score32302826242220181614121086420 Attendance Score = 34  EMBED Equation.3 (# of days you were absent or extremely late) Boardwork #123456789101112131415161718Date doneBoardwork Score24681012141618202224262830323436 Boardwork Score =  EMBED Equation.3 ( # of boardworks you did , not counting the ones you really did badly ) Total % of Points = (Attendance Score +Boardwork Score +Adjusted Quiz Score +Exam Total +Final Exam Score)/667 3JPQVW\_anor  1 3 4 ĴudUhwMhwMCJOJQJ^J hShwMCJOJQJ^JaJ#hShwM>*CJOJQJ^JaJhshS5CJhshSCJh~ahSCJ hSCJ h~ahShShShS5CJOJQJaJ"hShS5>*CJOJQJaJhSOJQJhTj$OJQJhp/OJQJ hp/CJ h~aCJ hsCJW`a  R E  `  89Q@A gdo} 7$8$H$gdS 7$8$H$gd~a 7$8$H$gd}#gdSgdSe4 D ~   = N Q % ȻȯȒ|tpjd^d^jp|tpjp hO9/CJ hp/CJ h~aCJh~ah~aOJQJh~a>*CJOJQJh~a5CJOJQJhsh~a5CJOJQJhihwMCJOJQJ^JhwMCJOJQJ^Jh~a5CJOJQJ^JhwM5CJOJQJ^Jh~a5CJOJQJ^Jh}#h}#5CJOJQJ^Jh}#5CJOJQJ^J$% + - 0 8 D E J L N [       # / K M j v 79IPQRҽܷܷܰ옒h~aCJOJQJ hHBCJ hi'CJh~a6>*CJh~a6CJH* h~a6CJ hO9/CJh~a0JCJjh~aCJUjh~aCJU h~aCJ h CJh~ah~aOJQJh~a>*CJOJQJ2h=b XY/QV^"AKT.> 78 PQZiho"#0ƻ򷲷hTj$OJQJ hTj$CJ hqzCJ h~a5h~ah~a56OJQJh~aOJQJh~a>*CJOJQJh~a6>*CJh~a5>*CJ h~a6CJ h~aCJ h~a5CJ;  ghU !8"14gdTj$gdTj$ &d P 01>y!3r 5!Q!S!T!!!"""""J#K#g#j#x$$$$f%i%%& &p&z&ŻůŻ禛瓎 h~a56 h~a5h~a56>*h~a5>*OJQJh~a5OJQJh~aOJQJh~ah~aCJOJQJh~aOJQJh~a>*CJOJQJh~a5>*CJ h~aCJ h~aCJ h~a5CJh~a5CJOJQJ5 5!T!""J#K#j##F$$1%%%&q&r&&L''''0(d(e(( &d P z&&&''c(m(()1)Y*b*+++++++++ , ,,,,),[,,,,,Y-^-`-----.b.f.ſſũ|qiqiqiqqh OJ QJ h hTj$OJ QJ h>vhTj$5hTj$h>vhTj$aJ hTj$aJhFhTj$aJhzhTj$aJhi QhTj$aJhi Qhi QOJ QJ aJ hi QaJhi Qhi QaJhFhTj$>*aJ hI!hI! hI!CJhqzh~a h~a5>* h~a5 h~a56(())*)|))7*Z*[**+u+++++,\,,,3-Y---.&.B.b..gdTj$gdI!gdTj$f.g........!/)/U/^/////00Q0X0y0000001 1@1I1]1c162<2F2G2m2o2v233333444444445ڞڣhFh}>*aJh1XOJ QJ h1X5hWhTj$OJ QJ h7h OJ QJ h7hTj$OJ QJ hTbhTj$6 h7hTj$ h ;hTj$h hTj$5h OJ QJ h hTj$OJ QJ hTj$ h hTj$5....!/U//// 0Q0y0001@1]1112<2n22223,3J3z33gdTj$334[4444"5y5555"6^66666N7u7778>8h888!9i9gdWgd}gdTj$5"5y5}5~5::::======>>??U@V@@@pBDDDDDD"F(F֚ynnbnbnZh6OJ QJ h6hTj$5OJ QJ h6hTj$OJ QJ hhTj$OJ QJ hFh}>*aJhhTj$5OJ QJ hhTj$OJ QJ hWhTj$5OJ QJ hOJ QJ h>*aJhFh>*aJhOJ QJ hWhTj$h7*OJ QJ hWhTj$OJ QJ hWhWOJ QJ h}>*aJi999:R::::;a;;;<a<<<J=========D>>>>?gdTj$?V?x??@V@@@ ACA~AAA4BpBBBICiCCCdDDDDDE]EX^XgdTj$gd}gdTj$]EEEE"F#F$F%F&F'F(FMFsFFFF7G{GGGH\HHH I9IsIIgd6gdTj$X^XgdTj$(FAFLFMFFF{GGGGGKKKKL LLLIMSMGNONpNwNNNNNNNcOkOOOOO PPRP[PPPPP>QHQaQiQQQRRPRXRRRS SVS^SSSùhW-hTj$OJ QJ hW-OJ QJ hW->*aJhFhW->*aJhW-h6hTj$h6hTj$5OJ QJ h6hTj$OJ QJ h6OJ QJ h6>*aJhFh6>*aJ>IIJ_JJJKCKKKKL@LLLL,MIMMMN/NGNpNNNNNNX^XgdTj$gdTj$NN!OcOOO PRPPP Q>QaQQRPRRRSVSSSSTGTTTTUgdTj$gdW-SSSSST%TGTQTTTTTTTU U1U;UOUZUUUUUVVVVVVVV WWBWCWGWHWWWXXXXXXXXXXXXXXXX YwYYYY hM/hM/hM/5CJH* hM/5CJ hM/CJhM/hTj$ h;8CJhW-hp,6OJ QJ hp,6OJ QJ hTj$OJ QJ hW-hTj$6OJ QJ hW-OJ QJ hW-hTj$OJ QJ =U1UOUUUVeVVV WCWDWEWFWGWHWWWXyXXPYYYYgdM/gdM/ h0L^0`Lgd;8gd;8gdTj$YYY Z Z*Z-ZBZCZPZ_Z`ZaZoZ}Z~ZZZZZZZZZZZZZZZZZZZZZZZ[[[[0[1[2[;[>[?[F[G[J[L[e[y[z[[[ht`OJ QJ ht`5hVPh*Ght`h7ah ;hTj$aJh4 hTj$CJ h\|hTj$h>e hTj$5CJhhTj$5CJhzhTj$aJh;8hTj$OJ QJ hTj$5hTj$ hTj$CJ8YYYYY*Z-Z4Z:ZBZ $IfgdTj$ $IfgdTj$ BZCZEZKZPZTZXZ\Z`ZaZaXXXXXXXX $IfgdTj$kd$$Ifl4\hD% N8(0(P4 laPf4ytTj$ aZbZdZjZoZsZzZZZZZaXXXXXXXXX $IfgdTj$kd$$Ifl4\hD% N8(0(P4 laPf4ytTj$ ZZZZZZZZDkdu$$Ifl4\hD% N8(0(P4 laPf4yt>e$&d IfP gdTj$ $IfgdTj$ZZZZZZZZZZ  !$IfgdTj$ $IfgdTj$ ZZZZZZZZZZaXXXXXXXX $IfgdTj$kdH$$Ifl4\hD% N8(0(P4 laPf4ytTj$ ZZZZZZZZMDDDDD $IfgdTj$kd$$Ifl4h\hD% N8(0(P4 laPf4yt4$&d IfP gdTj$ZZZ[[[[[ [Fkd$$Ifl4\hD% N8(0(P4 laPf4ytTj$$&d IfP gdTj$ $IfgdTj$ [[[[[#[$[%['[1[Vkd$$Ifl4\hD% N8(0(P4 laPf4ytVP $IfgdTj$ 1[2[3[4[5[6[7[8[9[:[;[?[C[G[H[I[J[K[ $IfgdTj$K[L[Q[W[^[d[[[_VVMMMV $Ifgdt` $Ifgdt`kd$$Ifl46 \hD% N8(0(P4 laPf4ytE[[[[[[[[[[XOOOOO $IfgdTj$kd_$$Ifl4\hD% N8(0(P4 laPf4ytTj$ $IfgdE [[[[[[[[[[[[[\/\0\4\7\8\?\@\E\F\V\Z\]\^\f\s\t\{\}\\\\\\\\\\\\\\\\\\\\\\\\]]żեՖhYhTj$5 hlhxhzFEho*h:Bh:Bh:B5CJh 56CJh:B56CJh h-h4h hxhhTj$5CJhTj$56CJh_E$hx EhTj$ht`hE8[[[[[[[[Dkd.$$Ifl4_\hD% N8(0(P4 laPf4ytTj$$&d IfP gdTj$ $IfgdTj$[[[[[[[[[[Vkd $$Ifl4z\hD% N8(0(P4 laPf4ytTj$ $IfgdTj$ [[\\\ \&\+\0\4\8\<\@\A\B\C\D\E\F\G\H\$&d IfP gdTj$ $IfgdTj$H\I\L\R\V\Z\^\b\f\g\_VVVVVVVV $IfgdTj$kd $$Ifl4K\hD% N8(0(P4 laPf4yt4 g\h\k\p\t\}\\\\\aXXXOOOOX $Ifgd:B $IfgdTj$kd $$Ifl4\hD% N8(0(P4 laPf4ytTj$ \\\\\\\\\\$&d IfP gdTj$ $IfgdTj$ \\\\\\\\\_VVVVVVV $IfgdTj$kdv $$Ifl4\hD% N8(0(P4 laPf4yt \\\\\\\\\\_VVVVVVVV $IfgdTj$kdI $$Ifl4m\hD% N8(0(P4 laPf4yt  \\\\\]]]]OFFFFFF $IfgdTj$kd $$Ifl4\hD% N8(0(P4 laPf4ytTj$$&d IfP gdTj$]]]]]#]$]%];]h]k]m]o]w]]]]]'^(^E^^^^^^^^^]_l___````)`7`G`H`|rrrrfh ZhTj$6CJaJh ZB*aJphhh ZB*aJphh Z0JCJOJ QJ h ZB*CJOJ QJ ph$jh ZB*CJOJ QJ Uphh Z hxh ZhFh ZaJ h ZaJhxh ZaJhFh ZCJ aJ h ZCJ aJ hTj$6 hxhxhTj$hx(]$]%]g]h]i]j]k]l]$&d IfP gdTj$ $IfgdTj$l]m]]]](^^^I____ZZZZZZZZZgd Zkd $$Ifl4<\hD% N8(0(P4 laPf4ytx _H`I````````````aaa a aaaaaaaFf $Ifgdv9gdv9gdv9 h0L^0`Lgd ZH`I``````aaHaPaZafaja}aaaaaaaaa3bebbb>clcmc~ccccccccd3dfdvdydzddddddd hv96CJj?hv9EHUjY0hv9EHU$jC]A hv9CJUVmHnHu hv9CJj`hv9EHU$j=D hv9CJUVmHnHujhv9U hv95 hv96>* hv96 hv9CJ hv9CJ hv9CJhv91aaaaa a!a"a#a$a%a&a'a(a)a*a+a,aiajaaaaaaaaagdv9Ff $Ifgdv9aaaaaaaSJJJJJ $Ifgdv9kd$$Ifl4r$t{b04 laf4ytv9aaabbbb%bSNNNEEE $Ifgdv9gdv9kd$$Ifl4r$t{b04 laf4ytv9%b,b3bLbebfbqb7kde$$Ifl4ֈ #t$ 04 laf4ytv9 $Ifgdv9qbrbsbtbubvbwb7kd1$$Ifl4ֈ #t$ 04 laf4ytv9 $Ifgdv9wbbbbbbb $Ifgdv9bbbbbbb@77777 $Ifgdv9kd$$Ifl4ֈ #t$ 04 laf4ytv9bbbbbbb7kd$$Ifl4ֈ #t$ 04 laf4ytv9 $Ifgdv9bbbbbb722gdv9kd$$Ifl4ֈ #t$ 04 laf4ytv9 $Ifgdv9bbbbbbbbbbbbbbbbbbbbbbbbbbbbFf $Ifgdv9gdv9bbccccccccc c cccccc c!c"c#c$c%c&c'c(c)c*cFf$ $Ifgdv9*c+c,c-c>cAcDcGcJcMcPcScVcYc\c_cbcdcfchcjclcmcnccccgdv9Ff-Ff( $Ifgdv9cccccccccccccccccddddddddddddFfP3 $Ifgdv9dddddddd d!d"d#d3d5d7d9d;d>dAdDdGdJdMdPdSdVdYd\d_dFf7 $Ifgdv9_dbdedfdgddde4ejeeeeeegdv9Ffp< $Ifgdv9ddddddeeee hv9hv9 hv9>*aJ hv95hv9 hv96CJhv96>*CJ .:pD/ =!"*#$% DyK horwitz@marshall.eduyK 8mailto:horwitz@marshall.edu$$IfP!vh55855(#v#v8#v#v(:V l40(P55855(4aPf4ytTj$$$IfP!vh55855(#v#v8#v#v(:V l40(P55855(4aPf4ytTj$$$IfP!vh55855(#v#v8#v#v(:V l40(P55855(4aPf4yt>e$$IfP!vh55855(#v#v8#v#v(:V l40(P55855(4aPf4ytTj$$$IfP!vh55855(#v#v8#v#v(:V l4h0(P55855(4aPf4yt4$$IfP!vh55855(#v#v8#v#v(:V l40(P55855(4aPf4ytTj$$$IfP!vh55855(#v#v8#v#v(:V l40(P55855(4aPf4ytVP$$IfP!vh55855(#v#v8#v#v(:V l46 0(P55855(4aPf4ytE$$IfP!vh55855(#v#v8#v#v(:V l40(P55855(4aPf4ytTj$$$IfP!vh55855(#v#v8#v#v(:V l4_0(P55855(4aPf4ytTj$$$IfP!vh55855(#v#v8#v#v(:V l4z0(P55855(4aPf4ytTj$$$IfP!vh55855(#v#v8#v#v(:V l4K0(P55855(4aPf4yt4$$IfP!vh55855(#v#v8#v#v(:V l40(P55855(4aPf4ytTj$$$IfP!vh55855(#v#v8#v#v(:V l40(P55855(4aPf4yt $$IfP!vh55855(#v#v8#v#v(:V l4m0(P55855(4aPf4yt $$IfP!vh55855(#v#v8#v#v(:V l40(P55855(4aPf4ytTj$$$IfP!vh55855(#v#v8#v#v(:V l4<0(P55855(4aPf4ytx$$If!vh5l5~5~5~5~5~5~5~5 ~5 ~5 ~5 ~5 ~5 ~5~#vl#v~:V l05l5~4aytv9kd$$IflN |x"$l~~~~~~~~~~~~~~0<<<<4 laytv9$$If!vh5l5~5~5~5~5~5~5~5 ~5 ~5 ~5 ~5 ~5 ~5~#vl#v~:V l05l5~4aytv9kd$$IflN |x"$l~~~~~~~~~~~~~~0<<<<4 laytv9EDd $ B  S A? 2LlL/!$>˴Q`!LlL/!$>˴QZ@Qxu?OP+`kF%1N lF S`#gGG7>f5ֻkyė\{{)tE'Cb#k *%q@m*^EukRX'm7sx/MIZoM1 GE3 |b,;ξu6H;ͳ  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvxyz{|}~Root Entry F Data wAWordDocument0ObjectPool0_1153777149 F00Ole CompObjfObjInfo  !# FMicrosoft Equation 3.0 DS Equation Equation.39qxII 10010(#ofquizzes"2)Equation Native _1102536003 FzzOle CompObj f FMicrosoft Equation 3.0 DS Equation Equation.39qfmIyI 2Oh+'0,8DX ht    \MTH 132 (sec 104) SyllabObjInfo Equation Native  01Table|SummaryInformation( ~n5wiלNX;o*/.6;a/w^B5Rin*}îpf1!3—>?͞OzC8>H AT[\w{qdwtHANh*VF!tNA/ V$$If!vh5t55{55b#vt#v#v{#v#vb:V l405t55{55b4f4ytv9$$If!vh5t55{55b#vt#v#v{#v#vb:V l405t55{55b4f4ytv9$$If!vh5t55555$ #vt#v#v$ :V l405t55$ 4f4ytv9$$If!vh5t55555$ #vt#v#v$ :V l405t55$ 4f4ytv9$$If!vh5t55555$ #vt#v#v$ :V l405t55$ 4f4ytv9$$If!vh5t55555$ #vt#v#v$ :V l405t55$ 4f4ytv9$$If!vh5t55555$ #vt#v#v$ :V l405t55$ 4f4ytv98$$If!vh5(55555555 5 5 5 5 5 5555#v(#v#v#v:V l405(5554f4ytv9Bkda$$Ifl4֐ J  f-I t"6$%(0HHHH4 laf4ytv98$$If!vh5(55555555 5 5 5 5 5 5555#v(#v#v#v:V l405(5554f4ytv9Bkd"$$Ifl4֐ J  f-I t"6$%(0HHHH4 laf4ytv98$$If!vh5(55555555 5 5 5 5 5 5555#v(#v#v#v:V l405(5554f4ytv9Bkd]'$$Ifl4֐ J  f-I t"6$%(0HHHH4 laf4ytv98$$If!vh5(55555555 5 5 5 5 5 5555#v(#v#v#v:V l405(5554f4ytv9Bkd+$$Ifl4֐ J  f-I t"6$%(0HHHH4 laf4ytv9Dd hB  S A? 2;(r8,Y%rǜ0`!(r8,Y%rǜZ@|x] AQ/妔nB14 +EQ31W}ZkB00'!7fH(TiRIug\̣Ȅ~n6$z|n|S/`^~m;c\/Fz} dm }?MPr],nW-1WvX}><2K$$$If!vh5(55555555 5 5 5 5 5 55555#v(#v:V l405(54f4ytv9hkd*2$$Ifl4֦ J  f-I e",$%'(0LLLL4 laf4ytv9$$$If!vh5(55555555 5 5 5 5 5 55555#v(#v:V l405(54f4ytv9hkd6$$Ifl4֦ J  f-I e",$%'(0LLLL4 laf4ytv9$$$If!vh5(55555555 5 5 5 5 5 55555#v(#v:V l405(54f4ytv9hkdJ;$$Ifl4֦ J  f-I e",$%'(0LLLL4 laf4ytv9Dd hB  S A? 2;(r8,Y%rǜ@`!(r8,Y%rǜZ@|x] AQ/妔nB14 +EQ31W}ZkB00'!7fH(TiRIug\̣Ȅ~n6$z|n|S/`^~m;c\/Fz} dm }?MPr],nW-1WvX}><2Kus Fall 2004College of Science Normal.dothorwitz46Microsoft Office Word@u7@t"@\%@^O՜.+,D՜.+,P hp  1MarsDocumentSummaryInformation88CompObj"qhall University/]' YMTH 132 (sec 104) Syllabus Fall 2004 Title 8@ _PID_HLINKSA\H http://www.marshall.edu/dss/qi#http://www.marshall.edu/uc/TS.shtm:mailto:horwitz@marshall.edu  FMicrosoft Office Word Document MSWordDocWord.Document.89q<@< NormalCJ_HmH sH tH @@@ Heading 1$@& 6OJ QJ <@< Heading 2$@&5CJD@D Heading 3$@&6CJOJ QJ DA@D Default Paragraph FontVi@V  Table Normal :V 44 la (k@(No List 0U@0 Hyperlink>*B*2B@2 Body TextCJ4@4 0h000!1i1112R22223a3334a444J555555555D66667V7x778V888 9C9~9994:p:::I;i;;;d<<<<<=]====">#>$>%>&>'>(>M>s>>>>7?{???@\@@@ A9AsAAAB_BBBCCCCCCD@DDDD,EIEEEF/FGFpFFFFFFF!GcGGG HRHHH I>IaIIJPJJJKVKKKKLGLLLLM1MOMMMNeNNN OCODOEOFOGOHOOOPyPPPQQQQQQQQ*R-R4R:RBRCRERKRPRTRXR\R`RaRbRdRjRoRsRzRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRSSSSS SSSSS#S$S%S'S1S2S3S4S5S6S7S8S9S:S;S?SCSGSHSISJSKSLSQSWS^SdSSSSSSSSSSSSSSSSSSSSSSSSSSSSSTTT T&T+T0T4T8T[A[D[G[J[M[P[S[V[Y[\[_[b[d[f[h[j[l[m[n[[[[[[[[[[[[[[[[[[[[\\\\\\\\\\\\\\\\\\\ \!\"\#\3\5\7\9\;\>\A\D\G\J\M\P\S\V\Y\\\_\b\e\f\g\\\]4]j]]]]]]00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000(000000000 000 00 000 0 0 00 0000 0 0 0 00000 0000 0000 0 0 0000 0000 0 0 0 00 000 000 0 0 00 0000 000 0 0 00 0000 0 0 0 00000000000 000000 0 0 0 000 00 000 0 0 00 000 000 0 0 00 0000 0 0 0 000000000 0000 00000000 0 0 00 0000 0 0 0 000000 00000 00000 0 0 0 0000 0 0 0 00 000 000 0 00 00 00000 00000 0 000000000(000000 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0000000000 0 0 0 0 0 0 0 0 0 0 0 0000 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0000 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0000 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00000000000WE`89Q@A  g h U ! 8"145TJKjF1qrL0 d e )!*!|!!7"Z"[""#u###$$b&&<*n*+,,..//0>00i111J5D66667V778V88994:p:;d<<<<]====">AB_BBC@DDDD,EEEF/FGFpFJPJJJOPyPPPQQQQQQQQ*R-RBRCRERKRPR`RaRbRdRjRoRsRzRRRRRRRRRRRRRRRRRRRRRRRRSSS SS#S$S%S'S1S;SJSKSLSQSWS^SdSSSSSSSSSSSSSSSSSSSSTTT T&T+T0T@THTITfTgThTTTTTTTTTTTTT%UgUkUlUmUXXXXXXXXXXXYYY Y YYYYYYYYYYY Y!Y"Y#Y$Y%Y&Y'Y(Y)Y*Y+Y,YiYjYYYYYYYYYYYYYYYYYZZZZ%Z,Z3ZLZeZfZqZrZsZtZuZvZwZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ[[[[[[[[[ [ [[[[[[ [!["[#[$[%[&['[([)[*[+[,[-[>[A[D[G[J[M[P[S[V[Y[\[_[b[d[f[h[j[l[m[n[[[[[[[[[[[[[[[[[[[[\\\\\\\\\\\\\\\\\\\ \!\"\#\3\5\7\9\;\>\A\D\G\J\M\P\S\V\Y\\\_\b\e\f\g\\\]4]j]]]] 00b0b0b0b0b0b0b0b0b0b0b0b0b0b0b0b0b0b0b0b0b0b0b0b0b0b0b0b0b0b0b0b0b0b0b @0000000000000000000000000000000000000000000000@0/U@0/U@0/U@0/U@0/U@0/U@0/U@0/U@0/U@0/U@0/U0f1 gX0f1 0h10h10i1 0i1 jX0i1 0i1 @0/U0q1 rX0q10q1 @0X @0X@0/U@0/U@0/U@0/U@0/U0{1 |X0{10{1 @0X01 X0101 @0X @0X01 X0101 @0X @0X01X01010x3 0#001 X0101 @0 @00m3 m0k3 0n3 01X010%001X0101 @0 @0@0/U@0/U@0/U@0/U@0/U@0/U@0/U@0/U@0/U@0/U@0/U@0/U@0/U00r @0/U@0/U@0/U@0/U@0/U00l@0/U@0/U@0/U@0/U@0/U@0/U@0/U@0/U00b@0/U@0/U@0/U@0/U@0/U@0/U@0/U@0/U0(0X)@0/U@0/U@0/U@0/U@0/U090K:@0/U@0/U@0/U@0/U@0/U0A0EB@0/U @0/U @0/U@0/U @0/U0J0>K@0/U@0/U@0/U@0/U@0/U0Y03Z@0/U @0/U@0/U@0/U@0/U@0/U@0/U0R08S@0/U @0/U @0/U@0/U @0/U0`0.a@0/U@0/U@0/U@0/U@0/U0s0t@0/U @0/U @0/U@0/U@0/U@0/U@0/U@0/U@0/U@0/U@0/U 0000@0/U0r3 s00@0/U@0/U@0/U0t3 00 0#00v3w00 0m3 n0x3 y0#000"0T0;20%00000 00  @0@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"\@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"\@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"\@0"@0"@0"@0"@0"@0"@0"\@0"@0"@0"@0"@0"@0"@0"\@0"@0"@0"@0"@0"@0"@0"\@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"\@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"\@0"@0"@0"@     0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"\@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"@0"0wjw.4 % 0z&f.5(FSY[]H`de3678:<>AEHJWaeu (.3i9?]EINUYBZaZZZZZZ [1[K[[[[[H\g\\\\\]l]_aaa%bqbwbbbbbb*ccd_de49;=?@BCDFGIKLMNOPQRSTUVXYZ[\]^_`bcdfghijklmnopqrste5VVVWXXYYY[[[y\\\]XXX:::8@0(  B S  ?pDNqDN rDN[!dVdVnV]mVuVuV]=*urn:schemas-microsoft-com:office:smarttags PlaceType=*urn:schemas-microsoft-com:office:smarttags PlaceName9*urn:schemas-microsoft-com:office:smarttagsplace e l *3XZ))++@2J222u33333366r6w6<<)B3BFF^GaGGGMHPHoIxINNNNuT{T}TT[[#\,\g\p\\\$]-]]JV'3EL~AK V [ &[a!#.VZ DQ_iGO28Z` U_9 C !!?"E"# #}#~###$$>%K%%%%%1&7&M&W&&&&&&& ''*'3'^'c'''''(((( ))J)R)))))!*+*G*O*******7+?+++++d,p,,,,,---------.+.5.g.j.....W/^/~//////0$0q0z000*1/1r1u111[2d2222222o3t33333k4u44444X5Z55566N6S6666666c7i77777!8%8_8d888Q9c9999999B:K:::;;R;];r;u;;<t<|<<<<=="=]=d==>B>}>>>>>>??H?Q?????)@.@f@m@@@@@AA}AAAAAA#B(BiBpBBBCCCCCCDDDDE E4E7ESE]EEEFF-G6GGGHHHHHHI(IIIQIyIIIIJJJJJJrKxKKKKKKKQLXLLLLLP"qC>PLފChX1 z^`zo(-l^`lo(l^`lo(.0^`0o(..0^`0o(... 88^8`o( .... 88^8`o( ..... `^``o( ...... `^``o(....... ^`o(........hh^h`o(hh^h`o(.0^`0o(..0^`0o(... 88^8`o( .... 88^8`o( ..... `^``o( ...... `^``o(....... ^`o(........l^`lo(l^`lo(.0^`0o(..0^`0o(... 88^8`o( .... 88^8`o( ..... `^``o( ...... `^``o(....... ^`o(........XX^X`o(XX^X`5o(.0^`0o(..0^`0o(... 88^8`o( .... 88^8`o( ..... `^``o( ...... `^``o(....... ^`o(........XX^X`o(XX^X`5o(.0^`0o(..0^`0o(... 88^8`o( .... 88^8`o( ..... `^``o( ...... `^``o(....... ^`o(........^`o(^`o(.0^`0o(..0^`0o(... 88^8`o( .... 88^8`o( ..... `^``o( ...... `^``o(....... ^`o(........E#;> z3ChqCPL}|;82 sk ;4-   }# mSg>v|>e~aqz I!_E$Tj$i'cK)*7*M/,/O9/p/p,6e6v9HBDx EzFEtuE*Gy/Gm9GwMVPi QfSU1Xt`~FabUcFShTjl nwnuy%{o}!HcE0J Y) W-c<4x-6 7 wRWy\|R\l[`Dy}IJkHPsWx@t~ao*7aBi{pu[A[D[G[J[M[P[S[V[Y[\[_[b[d[f[h[j[l[m[n[[[[[[[[[[[[[[[[[[[[\\\\\\\\\\\\\\\\\\\ \!\"\#\3\5\7\9\;\>\A\D\G\J\M\P\S\V\Y\\\_\b\e\f\]5aCP@l]0@Unknown Gz Times New Roman5Symbol3& z Arial?5 z Courier NewE5  Lucida ConsoleSClearface-Regular-DTC[BookmanBookman Old StyleSFLucida CasualMistral9GaramondCFComic Sans MSa  Americana BTTimes New Roman7&  Verdana"qh&4V4.O/O/!24d]]]2QHX)?qz2XMTH 132 (sec 104) Syllabus Fall 2004College of Sciencehorwitz(