MATH 3360: Foundations of Algebra I Section 01, MWF 11:00–11:50, MATH 013 Course Information: Instructor: Email: Office: Office Hours: Required Text: Chris Monico c.monico@ttu.edu MA-252 MW 9:30–10:50, Th 1:00–3:00, or by appointment. Algebra, Pure & Applied, by A. Papantonopoulou. Course outline & Important dates: WARNING: This course moves very fast. If you fall behind, even by one section, you may not be able to easily catch up as each section generally depends very heavily on the ones before. I expect that students will read each section of the textbook in advance of the lecture. The following is my best approximation of what we will cover and when it will be covered. Exam 1 Friday, February 17. Exam 2 Friday, March 9. Material # lectures Spring Break March 10–March18 Chapters 1–3 & p. 20–22 17 days Last day for student-initiated Wednesday, March 21. Chapter 4 9 days drop on MyTech with penalty Chapter 6 4 days No classes Monday, April 9 Chapter 7: 7.1–7.2 3 days Exam 2 Monday, April 16. Chapter 8: 8.1–8.4 6 days Last day of classes Tuesday, May 8. Final Exam Sat., May 12, 1:30–4:00. Calculator policy: Calculators may not be used on exams. Attendance: Class attendance is mandatory. It is assumed that you will attend, so I will not waste your time by taking attendance. However, keep in mind that it will be decidedly difficult for you to pass this course if you do not attend. If you miss a class, it is your responsibility to find out what you missed (assignments, notes,...); either ask a fellow student or come by my office to find out - do not ask via email. If you are absent for an exam, you will be permitted to make it up if and only if you are absent for one of the following reasons: • You are out of town performing duties on behalf of the university (i.e., athletics). Advance notification is required. • Religious holiday (see TTU OP 34.19 below). • Severe illness or hospitalization. Illness must be documented by a physician and you must notify me in advance of the exam, if possible. • Death in the family. • Other extenuating circumstances, at the instructor’s discretion (I am not very generous with this - it is only meant to allow for unforeseeable situations that are more serious than the things listed above. It does not cover, e.g. “My parents already bought a plane ticket for that date” or “My friend is getting married that weekend”). Note: Under such circumstances you will be given a substantially different ‘make-up exam’, not simply the same exam with numbers or functions changed. This is to be as fair as possible to the entire class and ensure that no student has an unfair advantage. Expected Learning Outcomes Students learn how to think and reason abstractly in the context of algebraic structures, and learn how to write correct and clear mathematical arguments in this context. Concepts to be mastered by the students include but are not limited to the following: • groups and group homomorphisms, • group actions, • rings and ring homomorphisms, • polynomials. Assessment of learning outcomes The expected learning outcomes for the course will be assessed through scheduled exams and homework assignments. Homework will be assigned regularly (nearly every class meeting). Your final grade in this course will be determined by the weighted components and grading scale below. 1 Grade components Homework: 15% Exam 1: 20% Exam 2: 20% Exam 3: 20% Final Exam: 25% Grade Scale 90–100% A 80–89% B 65–79% C 55–64% D 0–54% F ADA Accommodation: Any student who, because of a disability, may require special arrangements in order to meet the course requirements should contact the instructor as soon as possible to make any necessary arrangements. Students should present appropriate verification from Student Disability Services during the instructors office hours. Please note instructors are not allowed to provide classroom accommodations to a student until appropriate verification from Student Disability Services has been provided. For additional information, you may contact the Student Disability Services office in 335 West Hall or 806-742-2405. tenorino tenore tenor tenoplasty tenoplastic tenophyte tenophony tenontoplasty tenontothecitis tenontotomy tenontophyma tenontomyotomy tenontomyoplasty tenontolemmitis tenontography tenontology tenontitis tenontodynia tenontagra tenons tenontotenonitis tenonostosis tenoning tenonian Tenonian tenoner tenoners tenoned tenonectomy tenon tenomyoplasty tenomyotomy tenology tenography tenodynia tenodesis Tenochtitlan tangentiality tangential tangental tangent-cut tangentally tangencies tangent tangency tangences tangence tangelo tangelos tangeite Tangaroan Tangaroa Tangaridae tanged Tanganyikan Tanganyika tangalung tangantangan Tangaloa tanga Tanga Tang tang tan-faced Taneyville T’ang Taneytown Taney tanekaha tane tanega Tane Tandy tandstickor tandour tandsticka tandoori Tandoori sweet-smelled sweet-smiling sweet-smelling tandoor sweet-singing sweetshop sweet-shaped sweet-seasoned Sweetser sweet-set sweet-scented sweet-savored sweet-sad sweet-sacred sweets sweet-recording sweet-roasted sweetroot sweet-pickle sweet-piercing sweet-murmuring sweet-natured sweetness sweetnesses sweetmouthed sweet-numbered sweetmeats sweetmeat sweet-minded sweetmeal sweetmaker sweetman sweetly Sweetland sweet-leafed sweetling sweet-looking sweetleaf sweetless sweetlike sweet-lipped sweetishness sweetkins superengraved superengrave superenforcement superenergetically superenergetic superendow superendorsing superendorsement superendorsed superendorse superencipherment superencipher superempirical superemphasizing superemphasized superemphasize superemphasis supereminently supereminent supereminency supereminence supereloquently supereloquent supereloquence supereligibly supereligibleness supereligible supereligibility superelevation superelevated superelevate superelementary superelegantly superelegant superelegancy superelegancies superelegance superelated superelastically superelastic superelaborateness superelaborately superelaborate sullow Sullivan Sulligent sullies sulliable sulliedness sullied sulliage sullen-wise sullen-visaged sullen-sour sullen-seeming sullens sullennesses sullenness sullenly sullen-natured sullen-looking sullenhearted sullen-eyed sullener sullenest sullen-browed sullen sullages Sullan sullage sulla sull Sulla sulkylike sulky-shaped sulky sulking sulks sulkinesses sulkily sulkers sulkiness Seychelles sulkier sulkiest Seyhan Seymour sulkies Seyler Seymeria seybertite sexuparous sey sexy sexupara sexually sexuous sexualizing sexualized sexualize sexualization sexuale sexualities sexuality sexualisation sexualist sexualism sextus sexual Sextus sextur sextupling sextuply sextuplicating sextuplicate sextuplicated sextuplets sextuplet sextuplex sextuples sextuple sextupled sextula sextulary sextuor sextumvirate sextuberculate sextubercular sexts nonconvertible nonconvertibility nonconversion nonconversationally nonconversational nonconversant nonconversantly nonconversancy nonconversance nonconversably nonconversableness nonconversable nonconvergently nonconverging nonconvergent nonconvergency nonconvergence nonconventional nonconventionally nonconvectively nonconvenable nonconvective noncontumaciousness noncontumaciously noncontroversially noncontumacious noncontroversial noncontrollablely noncontrolling noncontrolled noncontrollably noncontrollable noncontrivance noncontributory noncontributories noncontributor noncontributiveness noncontributive noncontributively noncontribution noncontributing noncontributable noncontrastive nimble-pinioned nimbler nimblenesses nimbleness nimble-moving nimble-mouthed nimble-jointed nimble-heeled nimble-headed nimble-fingered nimble-footed nimble-feathered nimble-eyed nimblebrained nimble nimbification nimbi nimbiferous nim NIM nimbed nimbated nimb Nilwood Nils nils Nilsson Nilus Nilson nilpotent Nilotes nilotic Nilotic Nilous Nilote nilot Nilot Niloscope Nilo-Saharan Nilometer nilometer Nilometric nectarlike nectarized nectarizing nectarize nectarium nectarious nectarivorous Nectaris nectarising nectarise Nectariniidae Nectarinia nectarised nectarine nectaried nectarines nectaries nectarian nectarin nectariferous nectarial nectareously nectar-dropping nectareal nectareousness nectarean nectareous nectared nectar-breathing nectar-bearing nectar Nectandra necrotypic necrotomy necrotype necrotomist necrotomic necrotomies necrotized necrotizing necrotize necrotization muspike necrotising Muspelsheim Muspellsheim Muspell Muspelheim musophobia Musophagidae musophagine Musophagi Musophaga muso MusM musnud musmon muslins muslinet muslinette muslined muslims Muslems musky Muslem Muslim Muslims muslin Muslimism muslim muskwood musk-wood Muskwaki musks musk-tree muskroot muskrats musk-root musk-rat muskrat muskoxen muskox muskone muskogee Muskogees musk-ox Moslems Mosley moslems Moslemism Moslemize moslings mosoceca Moslemite Moslemin Moslemic Moslemah moslem mosks Moslem Moskow Moskva mosker Mosinee Mosira Mosier moskeneer mosk Moshi Moshesh Mosherville Moshe Mosheim Moshell moshavim moshav Moshannon moseys MOSFET Mosgu moseying moseyed mosey mosette Mosetena morsing morsels morsure mosesite Moses morselize moses morselling morseling morselled morselization morseled morse morsel Morry mors Morse Morrowville Mors morsal morrowtide morrow-tide morrow morrowspeech morrowmass morrowing Morrow morrows morrowless morrow-mass morros morro Morrisville Morrissey Morriston Morristown morris-pike Morrisonville morris-dance Morrison Morrisean morrises Morrisdale morphiomania morphism morris morphiomaniac morphins morphinomaniac morphinize morphinomania morphinization morphinist morphinic morphinism morphin morphines morphine morphinate morphically morphic morphiate morphia morphias morphgan morpheus morphew morphetic Morpheus morphemics morphemic morphemically Morphean morphemes morpheme morphea morphallaxes morphactin morphmorphallaxis Mooreton Mooresville Moorestown mooress Mooresburg Mooresboro Mooreland Moorefield moored moore Moore Moorcroft moorcock moor-cock moorburning moorburner moorburn moor-bred moorbird moorberry moorberries moorband moorball moorages moorage moor Moor moop moony moonworts moonwort moon-whitened moon-white moonway moonwards moonward moonwalks moonwalking moonwalker moonwalk moon-trodden monticulous monticulose monticuliporoid monticuliporidean Monticuliporidae Monticulipora monticuline monticule monticulate monticola monticoline monticolae monticle Monticello monthly Montia monticellite monthon Monti months montia monthlong Montherlant monthlies montgomeryshire month Montgomeryville Montgomeryshire montgomery Montgomery montgolfiers montgolfier montezuma Montford Montgolfier montevideo Montezuma Montfort Montevideo Monteverdi Monteux Montevallo Montessorianism montessorian fashery fasherie fasher fashes fash fashed fasels fascistize fascists fascistization fascisticize fascisticization fascistically fascistic Fascisti fascist fascista Fascista fascism Fascist fascisms Fascism fascis fasciotomy fascioplasty fascioloid Fasciolidae fasciolet fascioliasis fasciole Fasciolariidae Fasciolaria fasciolar fasciolae fasciola fasciodesis marybud Marydel Marydell Maryd Fascio Maryellen fascintatingly Maryborough Marybob Marybeth Marybelle Maryanne Maryanna Marybella mary Maryalice Marya Maryann marxists Mary Marxist-Leninist Marxist marxist Marxism-Leninism marxian Marxism Marxianism marxism marx Marwin Marxian Marx marwer Marwari Marwar Marvin marver marvy Marven marvels marvelry marvelousnesses aigre-doux aigremore aigret marvelousness aigre Aigneis aiglets aiglette aiglet Aigialosaurus Aigialosauridae aigialosaur AIF aiger AIEEE Aiello aiery aiel Aiea AIDS aids aidman Aidin aids-de-camp Aides aides aidless Aidos aiders aides-de-camp Aidit aidmanmen aidful Aidoneus aiding aidmen Aidenn Aiden Karmen aider aide-mmoire karmic scritch-scratch karn karmouth scrit scripuralistic scritch scritch-owl scripulum scripula scriptwriter scriptwriting script-writer scripturist scripturism Scripturist Scripturism scripturiency scripturient Scriptureless scriptures Scripture scriptured scripture Scriptured scripturalness Scripturarian scripturally scripturalize scripturality Scripturality scripturalist Scripturalist scripturalism scriptural Scripturalism scriptum scripts scriptory scriptoriums scriptorium karmathian Karmathian karmas Karluk Karlotte Karlyn karmadharaya Karly Karlotta Karma karma-marga Karlow Karlsruhe Karlsbad Karlstad karma Karloff Karlis Karlik Karlise Karlin Karlens Karl-Marx-Stadt Karlie Karlfeldt Karling Karli Karlene Karlen Karlan Karla Karlee Karleen karite Karl kariti Karita island-born Island island-belted island Islamorada Islamizing Islamize Islamized Islamization islamic Islamitish Islamised Islamite Islamistic Islamisation Islamise Islamist Islamism Islamising Islamitic Islamic islam Islamabad Islam Islaen isis Isl Iskenderun Isis ising-star isinglass Isla isl is-it isize ISIS Isinai isindazole ising Ising Isin Isimud intracosmical intracosmic intracortical intracorpuscular intracorporeal intracontinental intracompany intracommunication intracollegiate intracolic intracoelomic intracoastal intracloacal intraclitelline intracity intracistern intrachordal intracervical intracerebrally intracerebral intracerebellar intracephalic intracellularly intracellular intracartilaginous intracarpellary intracardially intracanonical intracarpal intracardiac intracapsular intracardial intracanalicular intracalicular intrabuccal homothallic homotaxic homotaxy homotaxis homotaxially homotaxial homotaxia homotaxeous homotatic homotactic homosystemic homostyly homostylism homostylous homostylic Homosteus homostyled homospory homosphere homosporous homosexuals homosexually homosexuality homosexualist homoscedasticity homoseismal homosex homosexual homosexualism homoscedastic homos Homosassa homorganic Homorelaps homopterous homopteron homopteran homoptera Homoptera homopter homopolymerize homopolymerization homopolymer homopause homopathy homoousious Homoousion Homoousiast Homoousianist homoousianism Homoousianism homoousian Homoousian homoousia homo-organ homonymy homonyms homonymous homonymously homonymity homonym homonymic homonymies homonuclear homonomous homonomy Homoneura homonid homomorphy homomorphous homomorphisms homomorphosis homomorphism homomorphic homomorph Homomorpha homometrically homomerous homometrical homomeral homolytic athanasia homomallous homolysis homologumena homolosine homology homolysin gay deboned debone debonairty debonairness debonairly debonairity debonaire debonair DeBolt antistrophic antistrike antistrophal antistriker antistrophe antistreptococcus antistreptococcin antistreptococcic antistreptococcal antistock antistimulation antistimulant antistes Antisthenes antisterility antisteapsin antistatist antistatic antistatism antistater antistate antistat antistaphylococcic antistalling antistadholderian antistadholder antisquama antisquatting antispreader antispreading antisplitting antisplenetic antisplasher antispiritualistic antispiritualist antispiritualism antispiritually antispirochetic antispiritual antispermotoxin antispending deboites deboite deboistness deboistly deboist DEBNA deboise deblocking deblocked deblock deblateration debituminize deblai deblaterate debituminization debitumenize debitum debits debitrix debitor debiting debitable debiteuse debite debit debited Origin Athelred athelings evolution Darwin Athelstan athena Athelstane athematic athelia Athena atheling atheists Athelbert atheize Athel atheizer atheisticness athel atheisticalness atheistically atheistical atheistic atheisms Athecae Athecata atheist Atharvan atheism athbash athecate Atharva-Veda athar athapaskan athanor athanasy Athapaskan Athapascan athanasies Athanasianist Athanasianism Athanasius athanasian Athanasian rights of Species by natural selection Religious Holy Day Observance (OP 34.19) 1. “Religious holy day” means a holy day observed by a religion whose places of worship are exempt from property taxation under Texas Tax Code §11.20. 2. A student who intends to observe a religious holy day should make that intention known in writing to the instructor prior to the absence. A student who is absent from classes for the observance of a religious holy day shall be allowed to take an examination or complete an assignment scheduled for that day within a reasonable time after the absence. 3. A student who is excused under Section 2 may not be penalized for the absence; however, the instructor may respond appropriately if the student fails to complete the assignment satisfactorily. Academic Integrity I take academic integrity extremely seriously. In particular, I have a zero-tolerance policy for both cheating and plagiarism. I define plagiarism as claiming the work or ideas of someone else as your own. Copying homework, phrases, sentences, or mathematics from any other source (including another student or a solutions manual) without citation is therefore plagiarism. Yes - it is very possible to plagiarize mathematics and it is just as offensive as every other instance of plagiarism. I would hope that you do not want someone else to claim credit for your hard work and I therefore expect that you will not claim credit for someone else’s work under any circumstances. If you use (read, look at, listen to, copy,...) a source other than the textbook then cite it, being as specific as possible (e.g., if you used a web site then give the URL - but if you forgot to write it down or cannot find it, the next best thing would be the name of the web site; if you cannot remember that, then at least acknowledge that it came from the web but you cannot remember where). All instances of cheating on exams will be dealt with as strictly as allowed by TTU OP 34.12. Instances of plagiarism will be dealt with on a case-by-case basis and may range from a written warning to an automatic assignment of an F in the course, depending on the severity of the offense. 2