MATH 5322-001, Real Analysis I
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Math 5322 01: Real Analysis MWF 1:00, MA 010 Course Information: Instructor: Email: Office: Phone: Office Hours: Required Text: Chris Monico c.monico@ttu.edu MA-252 (806)742-2580 x 271 T/Th 10:00-12:30, or by appointment. Real Analysis, H. Royden and P. Fitzpatrick, 4th Edition Important Dates: Exam 1 Last day to drop a course Last day of classes Final Exam Wednesday, 10/20 Monday, 11/1 Wednesday, 12/8 Monday, 12/13, 7:30am–10:00am Expected learning outcomes Upon completion of this two semester series, students should master concepts and theories of outer measure, the Caratheodory extension theorem, general measures, Lebesgue integrals with respect to a measure, Lebesgue measures, Lebesgue-Stieltjes measures, product measures, convergence theorems, Fubini-Tonelli theorem, signed measures, functions of bounded variation, absolutely continuous functions, differentiation theory, differentiation of a measure, metric spaces, compactness, Banach spaces, Lp spaces Hilbert spaces, basic Fourier analysis, bounded linear functionals, dual spaces, and bounded linear operators. Assessment of learning outcomes The expected learning outcomes for the course will be assessed through scheduled exams and homework assignments. The student’s final grade in this course will consist of the following weighted components: Homework: Exam 1: (Cumulative) Final Exam: 50% 25% 25% Homework will be assigned regularly and collected weekly. (Late) homework assignments will not be accepted after I’ve made solutions available. Students may work on assignments cooperatively (indeed, I encourage it), except when otherwise instructed. Your final letter grade for this course will be determined as follows. 90–100% 80–89% 65–79% 55–64% 0–54% A B C D F 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,...); you may do so by asking a fellow student, or stopping by during my office hours. I will not answer email which amounts to “I overslept and missed class; what assignment is due tomorrow?” Extremely important: If you are absent for an exam, you will not be permitted to make it up unless you are absent for one of the following reasons: 1 • You are out of town performing duties on behalf of the university (i.e., athletics). Advance notification is required. • Religious holiday (see below). • Severe illness, documented by a physician. • Death in the family. • Other extenuating circumstances, at the instructor’s discretion (I’m not particularly generous with this). 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. 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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 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 athanasia rights of Species by natural selection 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 “It is the aim of the faculty of Texas Tech University to foster a spirit of complete honesty and a high standard of integrity. The attempt of students to present as their own any work that they have not honestly performed is regarded by the faculty and administration as a serious offense and renders the offenders liable to serious consequences, possibly suspension.” It is expected that students will comply with all usual academic integrity standards, as described in the Texas Tech University Catalog. For example: if one consults any source other than the textbook or material from in-class lectures in order to complete an assignment, then it must be cited. This includes working with your peers, information found on the Internet, problem solutions from previous semesters, other textbooks,... 2
