Spring 2012 Math 2360-H01 Linear Algebra Syllabus and Policies PRACTICAL INFORMATION Class hours: Class room: Instructor: Office: Office hours: E-mail: Course homepage: MWF 11:00–11:50 am MA 108 Lars Winther Christensen MA 251 T 11:30–1:00 pm, and R 10:30–12:00 noon, or by appointment lars.w.christensen@ttu.edu www.math.ttu.edu/˜ lchriste/teaching2360122.html COURSE DESCRIPTION Linear algebra is the study of systems of linear equations and the closely related concept of vector spaces. The class is focused on solution of concrete problems. Required text: Matrices and Linear Algebra, by Hans Schneider and George Phillip Barker, Dover. Prerequisites: Math 2350, completed or concurrent, or consent of department. Expected learning outcomes: Math 2360 satisfies the university’s core curriculum requirement in Mathematics: Students graduating from Texas Tech University should be able to demonstrate the ability to apply quantitative and logical skills to solve problems. It meets the following TTU general education student learning outcomes for mathematics, that students will: • Apply arithmetic, algebraic, geometric, statistical, and logical reasoning to solve problems. • Represent and evaluate basic mathematical and/or logical information numerically, graphically, and symbolically. • Interpret mathematical and/or logical models such as formulas, graphs, tables, and schematics, and draw inference from them. In the class, the students will develop skills in manipulating matrices and understand their relationship to linear systems of equations. The students will develop an understanding of the concept of vector spaces including bases, linear transformations, eigenvectors, and eigenspaces. In particular the students will learn to • • • • • • Solve systems of linear equations Perform matrix arithmetic and compute the determinant of a matrix Perform the Gram-Schmidt orthogonalization process Compute eigenvalues and eigenvectors Recognize vector spaces and compute their bases Express a linear transformation as a matrix LEARNING ASSESSMENT Graded assessment is done through homework and exams. Other assessment techniques will also be used; these include direct questioning, problems to be solved in class, and discussions during office hours. Additionally, problems will be assigned for student self-assessment. The homework problems will be assigned out of the textbook and an online test bank; they will be chosen such that they facilitate the students’ development of skills in manipulating matrices, solving systems of linear equations, and determining bases for vector spaces. Exam problems will be constructed such as to test if the students have acquired the skills and understanding necessary to perform the five types of operations listed (•) above. COURSE ORGANIZATION The plan is to cover sections 1.1–1.5, 2.1–2.7, 3.1–3.8, 4.1–4.5, 5.1–5.3, 6.1–6.4, and 7.1–7.3. Exact reading assignments are posted on the course homepage, which is updated after every class. Exams: In-class exams take place on 2 March and 13 April. The final is on 12 May, 1:30–4:00 pm. Other important dates: Last day to drop a course without penalty Spring Break Last day to drop a course No classes Last day to withdraw 3 Feb. 10–18 March 28 March 9 April 3 May ASSIGNMENTS, GRADES, AND GRADING Two in-class exams are given during the semester. Homework will be assigned 12 times during the semester and is due on Fridays. Students are encouraged to work on the homework problems in groups. Results and grades are posted at www.blackboard.ttu.edu. Grading policy: On exams and written homework, partial credit for correct steps will be awarded even if the final answer is wrong. Full credit will be given only if the final answer and all intermediate steps are correct. A correct final answer does not per se guarantee any credit. Deadlines and make ups: Homework is not accepted after the deadline. In-class exams cannot be made up; the final exam serves as make-up for exams that were missed for legal reasons. Final grade: Homework (10 assignments) and exams (3) are counted towards the final grade with weights as follows: Homework 30% (3% ea.), in-class exams 40% (20% ea.), and final exam 30%. GENERAL POLICIES Academic integrity: It is the aim of the faculty of TTU to foster a spirit of complete honesty and a high standard of integrity. Any attempt of students to present as their own any work that they have not honestly performed is regarded by faculty and administration as a serious offense and renders the offenders liable to serious consequences, possibly suspension. Please see more information on-line at www.depts.ttu.edu/studentaffairs/CampusCrime/documents/integritymatters.pdf. Civility in the classroom: You are expected to be courteous to me and your fellow students. This means that your cell-phone should be turned off during the class; you shall not chat with your friends during class, eat meals or snacks, or cause a distraction in any other way. Officially approved trips: Students are allowed to miss class for trips officially sanctioned by TTU. The student must notify the instructor of upcoming trips and present written authorization. athanasia Carter Athanasian athanasian Athanasianism Athanasianist athanasies Athanasius athanasy athanor Athapascan Athapaskan athapaskan athar Atharvan Atharva-Veda athbash Athecae Athecata athecate atheism atheisms atheist atheistic atheistical atheistically atheisticalness atheisticness atheists atheize atheizer Athel athel Athelbert athelia atheling athelings Athelred Athelstan Athelstane athematic Athena athena Darwin evolution Origin debit debitable debite debited debiteuse debiting debitor debitrix debits debitum debitumenize debituminization debituminize deblai deblaterate deblateration deblock deblocked deblocking DEBNA deboise deboist deboistly deboistness deboite deboites antispending antispermotoxin antispiritual antispiritualism antispiritualist antispiritualistic antispiritually antispirochetic antisplasher antisplenetic antisplitting antispreader antispreading antisquama antisquatting antistadholder antistadholderian antistalling antistaphylococcic antistat antistate antistater antistatic antistatism antistatist antisteapsin antisterility antistes Antisthenes antistimulant antistimulation antistock antistreptococcal antistreptococcic antistreptococcin antistreptococcus antistrike antistriker antistrophal antistrophe antistrophic DeBolt debonair debonaire debonairity debonairly debonairness debonairty debone deboned gay homologumena homology homolosine homolysin homolysis homolytic homomallous homomeral homomerous homometrical homometrically homomorph Clinton Homomorpha homomorphic homomorphism homomorphisms homomorphosis homomorphous homomorphy Homoneura homonid homonomous homonomy homonuclear homonym homonymic homonymies homonymity homonymous homonymously homonyms homonymy homo-organ homoousia Homoousian homoousian Homoousianism homoousianism Homoousianist Homoousiast Homoousion homoousious homopathy homopause homopolymer homopolymerization homopolymerize homopter Homoptera of homoptera homopteran homopteron homopterous Homorelaps homorganic homos Homosassa homoscedastic homoscedasticity homoseismal homosex homosexual homosexualism homosexualist homosexuality homosexually homosexuals homosphere homosporous rights homospory marriage Homosteus homostyled homostylic homostylism homostylous homostyly homosystemic homotactic homotatic homotaxeous homotaxia homotaxial homotaxially homotaxic homotaxis homotaxy homothallic intrabuccal intracalicular intracanalicular intracanonical intracapsular intracardiac intracardial Species intracardially by intracarpal intracarpellary intracartilaginous intracellular intracellularly intracephalic intracerebellar intracerebral intracerebrally intracervical intrachordal intracistern intracity intraclitelline intracloacal intracoastal intracoelomic intracolic intracollegiate intracommunication intracompany intracontinental intracorporeal intracorpuscular intracortical intracosmic intracosmical Isimud Isin Isinai isindazole Ising ising isinglass ising-star ISIS Isis isis is-it isize Iskenderun Isl isl Isla Islaen Islam islam Islamabad Islamic islamic Islamisation Islamise Islamised Islamising Islamism Islamist Islamistic Islamite Islamitic Islamitish Islamization Islamize natural Islamized Islamizing Islamorada Island island island-belted island-born Karita karite kariti Karl Karla Karlan Karlee Karleen Karlen Karlene Karlens Karlfeldt Karli Karlie Karlik Karlin Karling Karlis Karlise Karl-Marx-Stadt Karloff Karlotta Karlotte Karlow Karlsbad Karlsruhe Karlstad Karluk Karly Karlyn Karma karma karmadharaya karma-marga karmas Karmathian karmathian scriptorium scriptoriums scriptory scripts scriptum scriptural Scripturalism scripturalism Scripturalist scripturalist Scripturality scripturality scripturalize scripturally scripturalness Scripturarian Scripture scripture Scriptured scriptured Scriptureless scriptures scripturiency scripturient Scripturism scripturism Scripturist scripturist script-writer scriptwriter scriptwriting scripula scripulum scripuralistic scrit scritch scritch-owl scritch-scratch Karmen karmic karmouth karn aide-mmoire Aiden Aidenn aider aiders Aides aides aides-de-camp aidful Aidin aiding Aidit aidless aidman aidmanmen aidmen Aidoneus Aidos AIDS aids aids-de-camp Aiea AIEEE aiel Aiello aiery AIF aiger aigialosaur Aigialosauridae Aigialosaurus aiglet aiglets aiglette Aigneis aigre aigre-doux aigremore aigret marvelousness marvelousnesses marvelry marvels Marven marver Marvin marvy Marwar Marwari marwer Marwin Marx marx Marxian marxian Marxianism Marxism marxism Marxism-Leninism Marxist marxist Marxist-Leninist marxists Mary mary Marya Maryalice Maryann Maryanna Maryanne Marybella Marybelle Marybeth Marybob Maryborough marybud Maryd Marydel Marydell Maryellen fascintatingly Fascio fasciodesis fasciola fasciolae fasciolar Fasciolaria Fasciolariidae fasciole fasciolet fascioliasis Fasciolidae fascioloid fascioplasty selection fasciotomy fascis Fascism fascism fascisms Fascist fascist Fascista fascista Fascisti fascistic fascistically fascisticization fascisticize fascistization fascistize fascists fasels fash fashed fasher fasherie fashery fashes montessorian Montessorianism Monteux Montevallo Monteverdi Montevideo montevideo Montezuma montezuma Montford Montfort Montgolfier montgolfier montgolfiers Montgomery montgomery Montgomeryshire montgomeryshire Montgomeryville month Montherlant monthlies monthlong monthly monthon months Monti Montia montia monticellite Monticello monticle monticola monticolae monticoline monticulate monticule monticuline Monticulipora Monticuliporidae monticuliporidean monticuliporoid monticulose monticulous moon-trodden moonwalk moonwalker moonwalking moonwalks moonward moonwards moonway moon-white moon-whitened moonwort moonworts moony moop Moor moor moorage moorages moorball moorband moorberries moorberry moorbird moor-bred moorburn moorburner moorburning moor-cock moorcock Moorcroft Moore moore moored Moorefield Mooreland Mooresboro Mooresburg mooress Moorestown Mooresville Mooreton healt morphmorphactin morphallaxes morphallaxis morphea Morphean morpheme morphemes morphemic morphemically morphemics morphetic Morpheus morpheus morphew morphgan morphia morphias morphiate morphic morphically morphin morphinate morphine morphines morphinic morphinism morphinist morphinization morphinize morphinomania morphinomaniac morphins morphiomania morphiomaniac morphism morris Morrisdale morris-dance Morrisean morrises Morrison Morrisonville morris-pike Morrissey Morriston Morristown Morrisville morro morros Morrow morrow morrowing morrowless morrow-mass morrowmass morrows morrowspeech morrow-tide morrowtide Morrowville Morry Mors mors morsal Morse morse morsel morseled morseling morselization morselize morselled morselling morsels morsing morsure Moses moses mosesite Mosetena mosette mosey moseyed moseying moseys MOSFET Mosgu Moshannon moshav moshavim Moshe Mosheim Moshell Mosherville Moshesh Moshi Mosier Mosinee Mosira mosk moskeneer mosker Moskow mosks Moskva Moslem moslem Moslemah Moslemic Moslemin Moslemism Moslemite Moslemize Moslems moslems Mosley moslings care mosoceca muskogee Muskogees muskone musk-ox muskox muskoxen musk-rat muskrat muskrats musk-root muskroot musks musk-tree Muskwaki musk-wood muskwood musky Muslem Muslems Muslim muslim Muslimism Muslims muslims muslin muslined muslinet muslinette muslins MusM musmon musnud muso Musophaga Musophagi Musophagidae musophagine musophobia Muspelheim Muspell Muspellsheim Muspelsheim muspike necrotising necrotization necrotize necrotized necrotizing necrotomic necrotomies necrotomist necrotomy necrotype necrotypic Nectandra nectar nectar-bearing nectar-breathing nectar-dropping nectareal nectarean nectared nectareous nectareously nectareousness nectarial nectarian nectaried nectaries nectariferous nectarin nectarine nectarines Nectarinia Nectariniidae nectarious Nectaris nectarise nectarised nectarising nectarium nectarivorous nectarize nectarized nectarizing nectarlike Nilometer nilometer Nilometric Nilo-Saharan Niloscope Nilot nilot Nilote Nilotes Nilotic nilotic Nilous nilpotent Nils nils Nilson Nilsson Nilus Nilwood NIM nim nimb nimbated nimbed nimbi nimbiferous nimbification nimble nimblebrained nimble-eyed nimble-feathered nimble-fingered nimble-footed nimble-headed nimble-heeled nimble-jointed nimble-mouthed nimble-moving nimbleness nimblenesses nimble-pinioned nimbler noncontrastive noncontributable noncontributing noncontribution noncontributive noncontributively noncontributiveness noncontributor noncontributories noncontributory noncontrivance noncontrollable noncontrollablely noncontrollably noncontrolled noncontrolling noncontroversial noncontroversially noncontumacious noncontumaciously noncontumaciousness nonconvective nonconvectively nonconvenable nonconventional nonconventionally nonconvergence nonconvergency nonconvergent nonconvergently nonconverging nonconversable nonconversableness nonconversably nonconversance nonconversancy nonconversant nonconversantly nonconversational nonconversationally nonconversion nonconvertibility nonconvertible sexts sextubercular sextuberculate sextula sextulary sextumvirate sextuor sextuple sextupled sextuples sextuplet sextuplets sextuplex sextuplicate sextuplicated sextuplicating sextupling sextuply sextur Sextus sextus sexual sexuale sexualisation sexualism sexualist sexualities sexuality sexualization sexualize sexualized sexualizing sexually sexuous sexupara sexuparous sexy sey seybertite Seychelles Seyhan Seyler Seymeria Seymour sulkers sulkier sulkies sulkiest sulkily sulkiness sulkinesses sulking sulks sulky sulkylike sulky-shaped sull Sulla sulla sullage sullages Sullan sullen sullen-browed sullener sullenest sullen-eyed sullenhearted sullen-looking sullenly sullen-natured sullenness sullennesses sullens sullen-seeming sullen-sour sullen-visaged sullen-wise sulliable sulliage sullied sulliedness sullies Sulligent Sullivan sullow superelaborate superelaborately superelaborateness superelastic superelastically superelated superelegance superelegancies superelegancy superelegant superelegantly superelementary superelevate superelevated superelevation supereligibility supereligible supereligibleness supereligibly supereloquence supereloquent supereloquently supereminence supereminency supereminent supereminently superemphasis superemphasize superemphasized superemphasizing superempirical superencipher superencipherment superendorse superendorsed superendorsement superendorsing superendow superenergetic superenergetically superenforcement superengrave superengraved sweetishness sweetkins Sweetland sweetleaf sweet-leafed sweetless sweetlike sweetling sweet-lipped sweet-looking sweetly sweetmaker sweetman sweetmeal sweetmeat sweetmeats sweet-minded sweetmouthed sweet-murmuring sweet-natured sweetness sweetnesses sweet-numbered sweet-pickle sweet-piercing sweet-recording sweet-roasted sweetroot sweets sweet-sacred sweet-sad sweet-savored sweet-scented sweet-seasoned Sweetser sweet-set sweet-shaped sweetshop sweet-singing sweet-smelled sweet-smelling sweet-smiling tandoor Tandoori tandoori tandour tandsticka tandstickor Tandy Tane tane tanega tanekaha Taney Taneytown Taneyville tan-faced T’ang Tang tang Tanga tanga Tangaloa tangalung tangantangan Tanganyika Tanganyikan Tangaridae Tangaroa Tangaroan tanged tangeite tangelo tangelos tangence tangences tangencies tangency tangent tangental tangentally tangent-cut tangential tangentiality Tenochtitlan tenodesis tenodynia tenography tenology tenomyoplasty tenomyotomy tenon tenonectomy tenoned tenoner tenoners Tenonian tenonian tenoning tenonitis tenonostosis tenons tenontagra tenontitis tenontotenontodynia tenontography tenontolemmitis tenontology tenontomyoplasty tenontomyotomy tenontophyma tenontoplasty tenontothecitis tenontotomy tenophony tenophyte tenoplastic tenoplasty tenor tenore tenorino pornography NAACP ACLU Jon Steven Obama revolution native PETA socialism progressive Santorum Stewart Michael american civil Colbert Biden National communism Perry liberties porn pacifism Moore Romney Association nude naked Michelle for the Bachmann Advancement Ron Paul of Colored Newt Gingrich People Herman Cain Sarah Palin Religious holy days: You are allowed to take the time to travel and observe a religious holy day. Prior notice should be given at least one week before the absence. Students with disabilities: Any student who, because of a disability, may require special arrangements in order to meet 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 instructor’s 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 at 335 West Hall or 806-742-2405.