MATH 390 History of Mathematics and Number Theory 3 units (see credit hour statement below) Fall 2014

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1 Azusa Pacific University Cllege f Liberal Arts and Sciences Department f Mathematics and Physics MATH 390 Histry f Mathematics and Number Thery 3 units (see credit hur statement belw) Fall 2014 T/Th 2:35-4:00 pm Segerstrm 174 Instructr: Dr. Sharn McCathern Phne: (626) x smccathern@apu.edu (***this is my preferred methd f cntact***) Office Fax: (626) Emergency: (626) (department ffice) Office: Segerstrm 106 Office Hurs: Mnday 1:10-2:40 pm Thursday 9:30-11:00 am, 12:50-2:15 pm (and by appintment Tuesday 12:50-2:15 r ther times as needed) Curse Website: (Nte: this is NOT SAKAI) Curse Descriptin (frm APU catalg): The histry f mathematics and number thery frm ancient times t the present is cvered thrugh methds and cncepts, including therems f Fermat, Euler, divisibility, factrizatin, primes, cngruencies, Diphantine prblems, and ther tpics. Textbks: Elementary Number Thery and Its Applicatins, 6 th ed., by Kenneth Rsen, published by Addisn-Wesley. ISBN: A Histry f Mathematics, 3 rd ed., by Uta Merzbach and Carl Byer, published by Wiley. ISBN: Hw this Curse will be Taught: Mst class time will be lecture with sme grup and individual prblem-slving time. Yu are expected t read the textbks in advance f class. Credit Hurs and Out-f-class Wrk: Fllwing the APU Credit Hur plicy, t meet the identified student learning utcmes f this curse, the expectatins are that this 3 unit curse, delivered ver a 14 week term, will apprximate 3 hurs per week classrm f direct faculty instructin. In additin, ut-f-class student wrk will apprximate a minimum f 6 hurs each week.

2 APU Department f Mathematics and Physics Fall 2013 Student Learning Outcmes The fllwing table lists the student learning utcmes alng with the manners in which they will be assessed. Student Learning Outcme: Students will be able t describe the histry and develpment f mathematical thught frm antiquity t the present time perfrm cmputatins using cmmn number-theretic algrithms, prcedures, and therems slve challenging pure and applied prblems using number thery cnstruct mathematical prfs and cunterexamples f number theretic statements analyze histrical develpments in mathematics frm a Christian perspective COURSE POLICIES: Assessment: Students will demnstrate their learning via Histry Hmewrk and Quizzes Number Thery Hmewrk and Quizzes Number Thery Hmewrk Number Thery Hmewrk Faith Integratin Paper Cllabratin Plicy Yu may nt cllabrate n quizzes r exams. Yu are encuraged t wrk tgether n yur hmewrk and t share ideas, but the written wrk that yu turn in shuld reflect yur wn understanding f the material. A gd rule f thumb is that yu shuld be able t reprduce fr me any wrk yu submit. (Thus, yu have t understand it and be capable f reding the prblem n yur wn.) This als applies t any slutins r ther resurces yu find nline r in a bk use them, but dn t just cpy. Likewise, yu are welcme t discuss ideas fr yur paper with me r yur classmates, but must write the paper n yur wn and prperly cite all yur surces. Any cpying, cheating, r plagiarism will be treated as a vilatin f the academic integrity plicy, will receive a failing grade, and will be reprted. Calculatr Use Basic calculatrs may be helpful n the hmewrk, but dn t get t attached! At this pint I d nt anticipate allwing calculatrs n quizzes r tests, s yu shuld get used t ding things by hand! Classrm Cnduct Please treat me and yur fellw students with respect and civility. In particular, d nt distract yurself r thers with cnversatins r technlgy. I will ask yu t stp if yu are disturbing me r thers. Unless we re ding wrk that requires a cmputer, it is usually a bad idea t have a laptp pen during this class. Hmewrk Hmewrk will usually be due weekly. Assignments will be psted nline. There will be separate assignments fr Histry and Number Thery. 2

3 APU Department f Mathematics and Physics Fall 2013 Quizzes Yu are expected t read bth textbks as psted nline, befre the material is discussed in class. There will be frequent quizzes n the reading, at the beginning f class. N make-up quizzes will be given yu must be in class. There will be tw exams during the semester plus ne cmprehensive final exam. may be in class, takehme, r a cmbinatin f the tw. Tentative exam dates are in the curse calendar at the end f the syllabus; firm dates will be annunced at least a week in advance. Faith Integratin Yu will write a paper n a tpic relating mathematics (prbably the histry f mathematics) t Christian perspectives and beliefs. Attendance and Participatin Class attendance and participatin will figure int reslving brderline grades. Make up wrk plicy Unless yu have a university excused absence, n make-up tests r quizzes will be given. Yu must be in class. (I will hwever drp sme scres see the sectin n grading.) After the first cuple f weeks when peple are still changing classes and getting textbks, n late hmewrk will be accepted. (I will hwever drp sme scres see the sectin n grading.) Grading Criteria GRADE LEVEL DESCRIPTION A B C D F Outstanding Abve Average Average Belw Average Nt Acceptable Abve and beynd the requirements f the assignment; utstanding effrt, significant achievement, and persnal imprvement are clearly evident. Sme measure f remarkable skill, creativity, r energy is als evident. Fulfills all aspects f the assignment and ges a bit beynd minimum cmpetence t demnstrate extra effrt, extra achievement, r extra imprvement. Fulfills all aspects f the assignment with bvius cmpetence. Assignments are cmpleted exactly as assigned. Belw average either because sme aspect f the assignment has nt been fulfilled r there are indicatins f a failure t fllw directins, failure t fllw specific recmmendatins, failure t demnstrate adequate understanding f the material, r failure t demnstrate persnal effrt and imprvement. Nt acceptable, either because the assignment was nt cmpleted as directed r because the level f perfrmance was belw an acceptable level fr cllege wrk. 3

4 APU Department f Mathematics and Physics Fall 2013 Grading Histry Hmewrk and Quizzes 20% Number Thery Hmewrk and Quizzes 20% Test 1 15% Test 2 15% Faith Integratin paper 5% Final exam (cmprehensive) 25% Nte: The lwest 4 hmewrk scres and 4 quiz scres will be drpped (frm histry and number thery cmbined). The remaining hmewrk/quiz scres in each categry will be averaged and used as abve. Available Supplemental Resurces Students in MATH 390 are encuraged t use available resurces in additin t the classrm time. These resurces include: 1. individual appintments r ffice hur drp-ins with the instructr; 2. cllabratin with ther students in ur class (r thse wh ve taken the class befre). A gd way t find peple t wrk with is t hang ut in the Math Center (SEGC 170). 3. Other number thery textbks, as well as nline curse material frm ther institutins Bibligraphy Elementary Number Thery, 7 th ed., by David M. Burtn Slved and Unslved Prblems in Number Thery, 4 th ed., by Daniel Shanks Naming Infinity, by Lren Graham and Jean-Michel Kantr Mathematics Thrugh the Eyes f Faith, by James Bradley and Russell Hwell Infrmatin Literacy: Infrmatin literacy is defined as a set f abilities requiring individuals t recgnize when infrmatin is needed and have the ability t lcate, evaluate, and use effectively the needed infrmatin (American Library Assciatin, 1989). In this curse, teaching and learning prcesses will emply the fllwing infrmatin literacy standards, as endrsed by the American Assciatin fr Higher Educatin (1999), the Assciatin f Cllege and Research Libraries (2000), and the Cuncil f Independent Clleges (2004). The students in this curse will: determine the nature and extent f the infrmatin needed. access needed infrmatin effectively and efficiently. individually r as a member f a grup, use infrmatin effectively t accmplish a specific purpse. This curse des nt require students t cmplete curse assignments using resurces available frm the University Libraries. Cpyright Respnsibilities: Materials used in cnnectin with this curse may be subject t cpyright prtectin. Students and faculty are bth authrs and users f cpyrighted materials. As a student yu must knw the rights f bth authrs and users with respect t cpyrighted wrks t ensure cmpliance. It is equally imprtant t be knwledgeable abut legally permitted uses f cpyrighted materials. Infrmatin abut cpyright cmpliance, fair use and websites fr dwnlading infrmatin legally can be fund at 4

5 APU Department f Mathematics and Physics Fall 2013 Academic Integrity Plicy: The missin f Azusa Pacific University includes cultivating in each student nt nly the academic skills that are required fr a university degree, but als the characteristics f academic integrity that are integral t a sund Christian educatin. It is therefre part f the missin f the university t nurture in each student a sense f mral respnsibility cnsistent with the biblical teachings f hnesty and accuntability. Furthermre, a breach f academic integrity is viewed nt merely as a private matter between the student and an instructr but rather as an act which is fundamentally incnsistent with the purpse and missin f the entire university. A cmplete cpy f the Academic Integrity Plicy is available in the Office f Student Life, the Office f the Vice Prvst fr Undergraduate Prgrams, and nline. Expectatins regarding academic integrity in this class are cnsistent with thse utlined in the academic integrity plicy. In particular, yu may wrk tgether n hmewrk, but nt quizzes r exams. Althugh yu are wrking tgether, each student must submit hmewrk individually. Cnsequences fr vilatins f academic integrity in this class are cnsistent with thse utlined in the academic integrity plicy. University Plicy: All university plicies affecting student wrk, appeals, and grievances, as utlined in the Undergraduate Catalg will apply. Azusa Pacific University Missin Statement: Azusa Pacific University is an evangelical Christian cmmunity f disciples and schlars wh seek t advance the wrk f Gd in the wrld thrugh academic excellence in liberal arts and prfessinal prgrams f higher educatin that encurage students t develp a Christian perspective f truth and life. Department Missin Statement: The Department f Mathematics and Physics at Azusa Pacific University: 1) ffers undergraduate degree prgrams in mathematics and physics, a single-subject waiver fr a teaching credential in mathematics, and a pre-degree engineering prgram; 2) prvides general educatin mathematics and science curses cnsistent with the utcmes f a liberal arts educatin; and 3) prepares students fr graduate study r success in their chsen careers. Disability statement: Any student in this curse with a disability preventing a full demnstratin f the student s abilities shuld ntify the instructr and meet with an advisr in the Learning Enrichment Center at the beginning f the semester. 5

6 APU Department f Mathematics and Physics Fall 2013 Curse Calendar *Yu are respnsible fr reading the assigned sectins and chapters befre class. An updated schedule is psted nline.* (Nte that this represents my best guess f what we will cver and when. Majr changes may ccur due t the pace f the class and the interests f the students. Please check the nline schedule ften.) Tuesdays Sep 9 NT: Sep 16 NT: 2.1 Sep 23 NT: 3.3 Sep 30 NT: 3.5 Oct 7 Test 1 Oct 14 NT: Oct 21 NT: 6.2 Oct 28 NT: 7.1 Nv 4 NT: 7.3 Thursdays Sep 4 *Class intr, syllabus NT: 1.1 Sep 11 *tmrrw is the add/drp deadline NT: 1.5, HM: Ch 1-3 Sep 18 NT: , HM: Ch 4 Sep 25 NT: 3.4, HM: Ch 5-6 Oct 2 NT: 3.7, HM: Ch 7-8 Oct 9 NT: , HM: Ch 9-11 Oct 16 NT: 6.1, HM: Ch Oct 23 NT: 6.3, HM: Ch Oct 30 NT: 7.2, HM: Ch 16 Nv 6 Test 2 HM: Ch Nv 11 Nv 13 *tmrrw is the withdraw deadline NT: 9.1 NT: , HM: Ch Nv 18 Nv 20 NT: 11.1 NT: 11.2, HM: Ch Nv 25 Nv 27 Thanksgiving n classes meet NT: 12.2 Dec 2 Dec 4 NT: Review, HM: Ch Dec 8-12: FINAL EXAM WEEK (Check yur Student Center nline fr ur exam s date and time.) NT refers t sectins frm the number thery textbk please read befre class HM refers t chapters frm the histry f mathematics textbk reading fr these chapters is due n the date indicated, and a quiz n the reading may be given that day. Hmewrk n these chapters is due the fllwing class meeting. 6

ELE 3600 Course Syllabus

ELE 3600 Course Syllabus Curse: ELE 3600, Teaching Scial Studies PreK-8 Divisin: Teacher Educatin Curse Credit: 3 hurs Time and Place: Wednesday 4:30-7:15 University Center Winter 2012 Instructr: Brenda Baker Email: ag5394@wayne.edu