THE HANDBOOK FOR MATHEMATICS - Bryn Mawr College
THE HANDBOOK FOR MATHEMATICSAT BRYN MAWR COLLEGE2017–2018Greetings from the Department of Mathematics at Bryn Mawr College. You are about toembark on the exhilarating adventure of studying mathematics in the context of a liberalarts education. The field of mathematics offers students a vast array of opportunities forcareers and for graduate school; the possibilities for your future are almost endless. Inthis handbook, you will find a variety of information from the mathematics departmenton this exciting discipline. However you choose to include mathematics in your four-yearcurriculum at Bryn Mawr, you may well find it to be more useful, practical, challenging,stimulating, rewarding, and beneficial than you ever imagined.Welcome aboard, and enjoy the ride!Faculty and Staff for AY 2017–2018OfficePhonePark Science Center(610) 526-Email332132330371 C333331371 jgrahampkasiuspmelvindmilicevicanmyersltraynor371 B371 t FacultyLeslie ChengVictor DonnayErica GrahamPeter KasiusPaul MelvinDjordje MilićevićAmy MyersLisa Traynor, ChairVisiting FacultyDanielle SmileyDaisy SudparidAcademic Administrative AssistantTina FasbinderOur Mathematics Department Web Site: http://www.brynmawr.edu/math1
Mathematics HandbookTABLE OF CONTENTSSection IMajoring in mathematics at Bryn Mawr3Section IIFrequently asked questions about mathematics at Bryn Mawr 4Section III Mathematics Department Activities6Section IV Careers of Mathematics Majors8Sample Resume for Summer InternshipsSection VPreparing for graduate study in mathematics1112Section VI Course thways Through the Math Major – Sample ProgramsGeneral planStarting with Calculus IIStarting with Multivariable CalculusTaking a semester abroad, starting with Calculus ITaking a semester abroad, starting with Calculus IIAB/MA ProgramWith Minor in Computer ScienceWith Certification to TeachWith Pre-MedDouble Major in Mathematics and PhysicsDouble Major in Mathematics and Computer ScienceDouble Major in Mathematics and ChemistryDouble Major in Mathematics and GeologyDouble Major in Mathematics and SociologyDouble Major in Mathematics and EnglishWith Concentration in Environmental Studies2
Mathematics HandbookI. Majoring in Mathematics at Bryn MawrA minimum of 10 semester courses is required for the Mathematics Major at Bryn Mawr College,including the six core courses listed below and four additional electives at or above the 200-level.Core Requirements: Multivariable Calculus (201/H121)Linear Algebra (203/H215)Real Analysis I (301/H317)Abstract Algebra I (303/H333)Real Analysis II (302/H318) or Abstract Algebra II (304/H334)Senior Conference (398 or 399)Math 301 and 303 are writing attentive (WA) courses that will satisfy the writing requirement inthe discipline. Math 206 (Transition to Higher Mathematics) is also designated as a WA courseand could be used in place of either Math 301 or Math 303 to fulfill the writing requirement. Alist of all our courses, with brief descriptions, is contained in Section VI of this handbook. TheAppendix contains a variety of sample four-year plans to complete the math major. However,each student must design a specific program of study with the advice of a Major Advisor.Math majors are encouraged to complete their core requirements (other than Senior Conference)by the end of their junior year. With the exception of Senior Conference, equivalent courses atHaverford or elsewhere may be substituted for Bryn Mawr courses, but Senior Conferencemust be taken at Bryn Mawr during the senior year.Often, courses in fields outside of mathematics have serious mathematical content appropriatefor the Mathematics major. Courses, taught in other departments, that currently satisfy theelective requirements of the major (or the 200 level courses required for the minor) are as follows: Economics 304 (Econometrics at Bryn Mawr or the analogous Haverford course); Physics306 (Mathematical Methods in the Physical Sciences); Chemistry 221 (Physical Chemistry I);Chemistry 321 (Mathematical Modeling of Natural Processes or Quantum Chemistry); Computer Science 231 (Discrete Mathematics with Applications); Computer Science H340 (Analysisof Algorithms) or H345 (Theory of Computation), both at Haverford.The AB/MA OptionFor students entering with advanced placement credits, it is possible to earn both the AB andthe MA degrees in four years at Bryn Mawr. See a sample program to illustrate this option inAppendix F.Faculty Advisors For graduate students: Paul MelvinFor seniors: Leslie Cheng (Fall), Lisa Traynor (Spring)For juniors: Djordje MilićevićFor sophomores: Victor DonnayFor freshmen: Lisa TraynorFor the Math Minor: Peter KasiusNon-Major Advising: Amy MyersStudy Abroad Advising: Erica GrahamSummer Research (REU) Advising: Erica Graham3
Mathematics HandbookII. Frequently asked questions about Mathematics at Bryn Mawr(1) Is there a math requirement at Bryn Mawr?No, but every student who enters Bryn Mawr is required to fulfill the 2-tiered Quantitativerequirement.Tier 1 of this requirement is “Quantitative Readiness” (QR). Every student is required to demonstrate Quantitative Readiness by reaching a benchmark on the SAT, ACT, or Bryn Mawr’s Qtest (given during Customs Week) or by passing the Introduction to Quantitative Reasoning(Qsem) course during the first year at Bryn Mawr.Tier 2 is a “Quantitative and Mathematical Reasoning” requirement (QM), which can be fulfilledby taking one course identified as a QM course. Many courses in Mathematics, the Sciences,and the Social Sciences fulfill the QM course requirement, including any mathematics courseat the 100-level or above. Every student is required to complete one QM course prior to Fallsemester of the senior year.(2) What Advanced Placement Exam scores or IB Higher Level Exam scores areneeded for credit in mathematics at Bryn Mawr?If you scored a 4 or 5 on the Advanced Placement Calculus BC Exam, or a 5, 6, or 7 on the IBHigher Level Exam, then you have earned two course credits toward your Bryn Mawr degree.Your first mathematics course will be Math 201 (Multivariable Calculus). If you scored a 4or 5 on the Advanced Placement Calculus AB exam, then you have earned one course credittoward your degree. Your first math course will be either Math 102 (Calculus II) or Math 201.See Appendix C for the Sample Program to major in mathematics if Math 201 is your firstmath course and Appendix B for the Sample Program to major in mathematics if Math 102is your first math course. All other students are strongly encouraged to take the MathematicsPlacement Exam so they can be best advised.(3) What help and support systems are available in Bryn Mawr’s math program?The support structure of the Bryn Mawr Mathematics Department is second to none. Facultymembers post office hours to guarantee times when they are available to help students; but,in general, the faculty welcome students to ask questions at any time, both in and out ofclass. In addition to faculty office hours, the department has problem sessions scheduled formost courses several times during the week, so that students can get help on homework andcourse assignments. Student study groups are organized and strongly encouraged in most mathclasses. There is also a private tutoring service, free of charge, provided by the Deans’ Office forall introductory courses.(4) What special arrangements are needed to complete double majors?A satisfactory program must be developed to meet the requirements of both majors. Typically,only one or two courses may be counted toward both major programs, and the details needto be approved. Meet with a Major Advisor in each department to plan a schedule. (See theAppendix of Sample Programs for examples.) It is wise to complete advanced courses (and someresearch, if possible) in the field you wish to pursue as a career. CAUTION: This can be anoverload! Double majoring can mean that you do a minimum major in each subject instead ofgoing more deeply into one or the other.4
Mathematics Handbook(5) What is required to minor in mathematics?A minor in mathematics requires five courses in mathematics at the 200-level or higher, of whichat least two must be at the 300-level or higher.(6) Can I take a semester abroad, while majoring in mathematics?Programs can be arranged at various foreign universities. Discussion with the Major Advisor must take place as early as possible to assess the feasibility of accomplishing this within themathematics major. See Sample Programs in Appendix D and Appendix E. In recent years, students have attended programs in England, Scotland, Australia, and Spain, just to a name a few.For those strongly interested in mathematics, there are very intensive programs in Budapest,Hungary and in Moscow, Russia. See the respective websites: www.budapestsemesters.com andwww.mccme.ru/mathinmoscow. In addition, you may wish to speak with Professor Amy N.Myers (anmyers@brynmawr.edu) about her experience as a student in the Budapest Program.(7) What should I do to prepare for high school teaching of mathematics?Students can major in mathematics and earn Pennsylvania Secondary School Teaching Certification in mathematics by completing the requirements set by the Education Program. Interestedstudents should consult early with an advisor from the Education Program for appropriate Education courses that culminate with the Practice Teaching experience during the second semesterof the senior year. See Appendix H for a Sample Program. It is also possible to major inMathematics and complete just a minor in Education. In addition, there is a 5th year teachercertification option available where graduates of Bryn Mawr and Haverford Colleges may obtainPA state certification by completing an additional year of study at reduced tuition. See theTeacher Education web site at www.brynmawr.edu/education for details. One can also consider private schools, which do not require education and teacher certification courses. Manymasters degree programs in education or teaching give training and certification for studentswith undergraduate majors in science disciplines. In addition, the Teach for America programaims to encourage graduates with bachelors degrees in science to consider teaching as a career(www.teachforamerica.org).Keep in mind that employment in the mathematics department in the following capacities provides excellent preparation for teaching: grading homework assignments, running problem sessions, serving as a mathematics lab supervisor, tutoring, and peer instructing.(8) What opportunities for student employment exist in the Math Department?Mathematics majors can apply for employment in the Mathematics Department. Positionsthat are available each academic year are as follows: grader of homework assignments, problemsession instructor, mathematics computer lab supervisor and grader of labs, private tutor, oroffice assistant to the academic administrative assistant of the Mathematics Department. Fillout the application for employment online at: . Any questions should be directed to Amy N. Myers at anmyers@brynmawr.edu.5
Mathematics Handbook(9) Is independent research possible for undergraduates?Increasing numbers of undergraduates are getting a sneak preview of research mathematicsby attending one of the many Research Experiences for Undergraduates (REUs) offered eachsummer throughout the country. Check out the list of programs athttp : //www.nsf.gov/crssprgm/reu/list result.cf m?unitid 5044Students may also apply for a summer stipend to do research at Bryn Mawr with a professor.During the academic year, research may be done for credit by making arrangements with aresearch supervisor and then enrolling in the proper sections of Math 395 or 396 (ResearchSeminar) or Math 403 (Supervised Work). Research in the summers and during the academicyear is encouraged for students if it meets their career goals, but it is not required for the major.In all circumstances, research should not be viewed as a substitute for enrolling in advancedcourses in the major.(10) What is required to earn a degree with honors in mathematics?Students majoring in mathematics are eligible for a degree with honors if they complete themajor in mathematics and meet the following additional criteria: A major grade point average of at least 3.6, calculated at the end of the senior year; At least two additional semesters of work at the 300-level or above (this may includeresearch courses); Completion of a meritorious project consisting of a written thesis and an oral presentationof the thesis.An honors project normally requires two semesters of independent study with a faculty member.Students interested in pursuing honors should approach faculty members at the end of theirjunior year to determine the availability of a project of mutual interest. The formal decisionon honors is determined by a vote of the math faculty based on the written thesis and the oralpresentation.(11) Can I take graduate courses while maintaining undergraduate status?Students who have completed advanced undergraduate courses because of Advanced Placementexams or another acceleration process may be given permission by the department to enroll ingraduate courses. This gives advanced students an opportunity to study mathematical content ata sophisticated level beyond the normal undergraduate challenges. Accelerated students may alsochoose to complete both an A.B. and an M.A. in mathematics, as part of the College’s A.B./M.A.program. The norm for this program is for a student to complete the work in four years, doingresearch for and writing an M.A. thesis in the fourth year. Details of the requirements must bediscussed with a Major Advisor as early as possible. See a Sample Program in Appendix F.(12) What are the 4 1 and 3-2 Engineering Partnerships with Penn and Caltech?Students can, in five years, complete both their undergraduate degree at Bryn Mawr and amasters degree in engineering through partnerships with the University of Pennsylvania or theCalifornia Institute of Technology. To discuss the details, consult with any faculty member inthe department.6
Mathematics HandbookIII. Mathematics Department ActivitiesThe Mathematics Department at Bryn Mawr College believes in cultivating a vibrant and enriching environment with a sense of community and fellowship for all those studying mathematics.To that end, the shared Mathematics and Physics Lounge (Park 339) serves as a pleasant placefor mathematics majors to congregate and to rest, relax, and revitalize at any time of the day.The room is a virtual haven for all majoring in mathematics, and one can replenish energy andideas there. The room is furnished with tables and lounge chairs, as well as a full-size refrigeratorand a microwave. Most of the mathematics department social activities will take place in thislounge.There are many activities sponsored by the Department of Mathematics including: Welcome Back Toast in September,Majors’ Information Sessions in the fall and the spring,Poster Session/Holiday Party in December,Math Appreciation Week in April,Weekly Bi-College Colloquium,Weekly Distressing Math Collective (DMC),Mathematics Problem Solving Seminars,Career Talks given by alumnae,Panel Discussions, andExcursions to Mathematical Conferences.There are many opportunities for students to gain valuable leadership skills by volunteering!Here is a sample of some opportunities.Senior/Junior Major Reps: The Major Reps are senior/junior mathematics majors whoserve as liaisons between faculty and students. They give input in evaluating candidates to fillfaculty positions. When a faculty member is going up for reappointment or promotion, theMajor Reps are in charge of summarizing the student letters concerning the faculty member’steaching. The Major Reps are also involved in planning the primary social events during theschool year, which include the Welcome Back Toast, Majors Information Sessions, and the PosterSession/Holiday Party.Distressing Math Collective (DMC) Coordinator: This student organizes the meetingsof the Distressing Math Collective, a group started in 1997 by students wanting to discussmathematical paradoxes and other mathematical topics not usually covered in math courses. Inrecent years, meetings have consisted of a math talk given by a volunteer, followed by mathoriented-game-playing. The DMC attracts a mix of undergraduate students, graduate students,faculty, alumnae, and friends.7
Mathematics HandbookIV. Careers of mathematics majorsStudying or majoring in mathematics opens the door to an enormous number of opportunitiesin the job market as well as in graduate school – so much so that mathematics is hailed as oneof the most versatile majors available. Check out a number of “best jobs” web sites, such as Glass Door — -LST KQ0,20.htm, or CNN — http://money.cnn.com/pf/best-jobs/2017/list/,and you will find that jobs demanding strong quantitative skills are highly ranked in terms ofbig growth, high pay, and job satisfaction. The following sites contain valuable informationregarding careers in htm.“Do math and a wide variety of exciting careers open up!”The Leadership, Innovation, and Liberal Arts Center (LILAC), located on the second floor ofthe Campus Center, can assist you in finding internships, research jobs, jobs in not-for-profit organizations, and summer jobs, as well as full-time jobs and information on graduate/professionalschools upon graduation. Visit LILAC and explore their resources. Consider making an appointment with a Career and Professional Development counselor (ext. 5174) early in your collegecareer. The web site is: http://www.brynmawr.edu/cpd/ .Below is a selection of statements from some Bryn Mawr graduates who majored in mathematics.The diversity of the fields pursued underscores the value of mathematics in every walk of life!Michelle Lacey ’94, Associate Professor of Mathematics at Tulane University:“. . . My Mathematics degree helped me to secure my first job as a Research Assistant with a smallsoftware development contractor in Washington, DC. Through my work experience, I developedan interest in statistical models and decided to apply to graduate programs in Statistics. Iwas accepted into the Ph.D. program at Yale University in 1996 (I can definitely give my BrynMawr education most of the credit for that!), and my dissertation was related to statisticalmethods for reconstructing evolutionary relationships from molecular sequences. I joined theMathematics Department at Tulane University in 2003. My position has been great – a nice mixof teaching undergraduate and graduate courses, working with students on independent studyprojects, and pursuing exciting research in collaboration with members of the Tulane CancerCenter. I’m really grateful to Bryn Mawr for giving me the opportunity to study in such anourishing environment – if it wasn’t for the inspiring professors who encouraged me to majorin Mathematics, my life would certainly have taken a very different path.”8
Mathematics HandbookHilary Cooke ’98, Associate Rector at St. John’s Episcopal Church Lafayette andformerly Princeton Theological Seminary:I did “a four year joint program with Rutgers, graduating with a Master of Divinity and aMaster of Social Work and eventually practice pastoral counseling. I am living proof that youcan do anything with a degree in mathematics. You might not believe it but I do actually usemy math here.”Lindsay Moore ’00, Po
Mathematics Handbook (5) What is required to minor in mathematics? A minor in mathematics requires ve courses in mathematics at the 200-level or higher, of which at least two must be at the 300-level or higher. (6) Can I take a semester abroad, while majoring in mathematics? Programs can be arranged at various foreign universities.
May 02, 2018 · D. Program Evaluation ͟The organization has provided a description of the framework for how each program will be evaluated. The framework should include all the elements below: ͟The evaluation methods are cost-effective for the organization ͟Quantitative and qualitative data is being collected (at Basics tier, data collection must have begun)
Silat is a combative art of self-defense and survival rooted from Matay archipelago. It was traced at thé early of Langkasuka Kingdom (2nd century CE) till thé reign of Melaka (Malaysia) Sultanate era (13th century). Silat has now evolved to become part of social culture and tradition with thé appearance of a fine physical and spiritual .
On an exceptional basis, Member States may request UNESCO to provide thé candidates with access to thé platform so they can complète thé form by themselves. Thèse requests must be addressed to esd rize unesco. or by 15 A ril 2021 UNESCO will provide thé nomineewith accessto thé platform via their émail address.
̶The leading indicator of employee engagement is based on the quality of the relationship between employee and supervisor Empower your managers! ̶Help them understand the impact on the organization ̶Share important changes, plan options, tasks, and deadlines ̶Provide key messages and talking points ̶Prepare them to answer employee questions
Dr. Sunita Bharatwal** Dr. Pawan Garga*** Abstract Customer satisfaction is derived from thè functionalities and values, a product or Service can provide. The current study aims to segregate thè dimensions of ordine Service quality and gather insights on its impact on web shopping. The trends of purchases have
Bruksanvisning för bilstereo . Bruksanvisning for bilstereo . Instrukcja obsługi samochodowego odtwarzacza stereo . Operating Instructions for Car Stereo . 610-104 . SV . Bruksanvisning i original
Chính Văn.- Còn đức Thế tôn thì tuệ giác cực kỳ trong sạch 8: hiện hành bất nhị 9, đạt đến vô tướng 10, đứng vào chỗ đứng của các đức Thế tôn 11, thể hiện tính bình đẳng của các Ngài, đến chỗ không còn chướng ngại 12, giáo pháp không thể khuynh đảo, tâm thức không bị cản trở, cái được
Bryn Athyn College, Bryn Athyn, PA Bryn Mawr College, Bryn Mawr, PA Bucknell University, Lewisburg, PA Buena Vista University, Storm Lake, IA Bushnell University, Eugene, OR Butler University, Indianapolis, IN C Cabrini University4, Radnor, PA Caldwell University,
