1119 Main Administration Building College Park, Maryland 20742-5031 301.405.5252 TEL 301.405.8195 FAX OFFICE OF THE SENIOR VICE PRESIDENT AND PROVOST May 15,2013 MEMORANDUM TO: Jayanth Banavar Dean, College of Computer, Mathematical and Natural Sciences FROM: Elizabeth Beise ~ Associate Provost for Academic Planning and Programs SUBJECT: Proposal to Modify the Curriculum ofthe Bachelor of Science in Mathematics (PCC log no. 12043) At its meeting on AprilS, 2013, the Senate Committee on Programs, Curricula, and Courses approved your proposal to modify the curriculum of the Bachelor of Science in Mathematics. A copy of the approved proposal is attached. The change is effective Fall 2013. Please ensure that the change is fully described in the Undergraduate Catalog and in all relevant descriptive materials, including the program's four­ year plan (contact Lisa Kiely at lkiely@umd.edu for more information), and that all advisors are informed. MDC/ Enclosure cc: William Idsardi, Chair, Senate PCC Committee Sarah Bauder, Office of Student Financial Aid Reka Montfort, University Senate Erin Howard, Division of Information Technology Donna Williams, Institutional Research, Planning & Assessment Anne Turkos, University Archives Linda Yokoi, Office of the Registrar Robert Gaines, Undergraduate Studies Robert Infantino, College of Computer, Mathematical and Natural Sciences James Yorke, Mathematics THE UNIVERSITY OF MARYLAND, COLLEGE PARK PROGRAM/CURRICULUMIUNIT PROPOSAL • to IPCC LOG NO. Please email the rest of the proposal as an MSWord attachment ~-subl11issi()ns(alumd.cdu. • . 12043 Please submit the signed form to the Office of the Associate Provost - - - - - - - - - - - - - - - - - - -...... for Academic Planning and Programs, 1119 Main Administration Building, Campus. College/School: CMNS 01203000 Please also add College/School Unit Code-First 8 digits: Unit Codes can be found at: bJlps://hYl2l2!.od.Jlmd.ec!..l!/HtmLj?~ports/un!!s.htfIJ_ Department/Program: MATHEMATICS 1301901 Please also add Department/Program Unit Code-Last 7 digits: Type of Action (choose one): X Curriculum change (including informal specializations) IJ Renaming ofprogram or formal Area ofConcentration oAddition/deletion offormal Area ofConcentration oSuspend/delete program 0 New academic degree/award program 0 New Professional Studies award iteration 0 New Minor 0 Other Italics indicate that the proposed program action must be presented to the full University Senate for consideration. Summary of Proposed Action: Curriculum change in the Math Major: Require MATH 310 (Introduction to Mathematical Proof) for all tracks in the Math Major. This proposal is submitted alongside with a similar proposal to add MATH 310 as a required course for the Traditional Track in the Math Minor. We are also submitted four related VPAC proposals: 1) changing the name of MATH 310 from "introduction to analysis" to "introduction to mathematical proof'; 2) amend the prerequisite requirements in the theoretical courses: MATH 403, MATH 405, and MATH 410, to C- in MATH 310 or equivalent. ==================================================================================== APPROVAL SIGNATURES - Please print name, sign, and date. Use additional lines for multi-unit programs. 4. Dean 5. Dean of the Graduate School (ifrequired) 6. Chair, Senate PCC 6~;L:at 7. University Senate Chair (ifreqUired) 8. 8,";0' Vk, Pre,id,nl and Pmvo,1 W J /C!>a rd, t!J;~------=-----------------_ :ryollft ~ c;/rr./ ,il:Jll Department of Mathematics University of Maryland, College Park PCC Proposal: Curriculum Change in the Math Major. Require MATH 310 for all tracks in the Math Major Program: Mathematics Degree Type: Bachelor of Science Areas of Concentration: Traditional, Secondary Education, Statistics Requested Effective Date: FALL 2013. Summary of proposed action: • Add MATH 310, "Introduction to Mathematical Proof', as a required course for all tracks in the Math Major. • This proposal is submitted alongside i. A similar PCC proposal to add MATH 310 as a required course for the traditional track in the Math Minor. ii. AVPAC proposal to change the name of MATH 310 from "Introduction to Analysis" to "Introduction to Mathematical Proof'. iii. VPAC proposals to amend the prerequisite requirements in the theoretical courses: MATH 403, MATH 405, and MATH 410, to C- in MATH 310 or equivalent. Rationale: • Theoretical math courses are very different from lower level math courses, which are more applied and computational in nature. In order to do well in theoretical math courses, one needs to have mastered the skill of mathematical proof. • During a recent study of MATH 410 (Advanced Calculus I), we found that the DWF rate over all sections taught over the past five year is approximately 30%. Since MATH 410 is a required course for the Major, many students have to retake it one or more times. A detailed examination suggested that the reason why so many students do not do well in theoretical courses like MATH 410, is due to the lack of sufficient preparation to handle mathematical proofs. Similar observations were made in our other entry-level theoretical math courses: MATH 403 (Introduction to Abstract Algebra) and MATH 405 (Linear Algebra). • We are unable to teach the skill of mathematical proof in our lower level courses because our lower level courses are service courses for other departments and the course syllabi are unfortunately very full. • As a result, many math majors who successfully complete our lower level math courses still lack the required skill of mathematical proof to do well in theoretical math courses. These students will benefit from a transitional course, MATH 310, before attempting theoretical math courses. In MATH 310 we teach students the skill of mathematical proof in a way that prepares them for our theoretical 400-level courses. Details of proposal: 1. Proposed Action • We propose to add MATH 310, "Introduction to Mathematical Proof', as a required course for all tracks in the Math Major. • This proposal is submitted alongside i. A similar PCC proposal to add MATH 310 as a required course for the traditional track in the Math Minor. ii. A VPAC proposal to change the name of MATH 310 from "Introduction to Analysis" to "Introduction to Mathematical Proof'. iii. VPAC proposals to amend the prerequisite requirements in the theoretical courses: MATH 403, MATH 405, and MATH 410, to C- in MATH 310 or equivalent. 2. Comments i. ii. iii. In the official catalog description, all tracks already include a statement that "Most students are strongly encouraged to complete MATH 310 prior to attempting MATH 410," Attached to this proposal are four-year academic plans for all the Math Major tracks: traditional, secondary education, and statistics. MATH 310 is highlighted. Even though MATH 310 is currently a recommended (and not a required) course, the attached four-year plans are the plans that we currently use when advising students. These are the plans that already appear in the Math Department webpage. In other words, the proposed change to require MATH 310 does not change anything in the structure of the major or in the time to graduation. We expect to allow exemptions for students who have mastered the concepts that would be needed for success in MATH 403, MATH 405, and MATH 410, as demonstrated by their coursework. 3. Impact i. ii. Impact on Math Majors. The list of mathematics courses that Math Majors will be required to take in order to satisfy the major requirement will increase by one. The increase in the number of courses for the major should have no impact on the averaged time to graduation. Taking MATH 310 should better prepare students for taking more theoretical, proof-based, courses that are an integral part of our degree program as it stands. Impact on Mathematical Education students. Math majors who contemplate careers in teaching are already encouraged to enroll in MATH iii. iv. v. 310. The College of Education fully supports our proposal. A letter of support from Prof. Daniel Chazan, the director of the Center for Mathematical Education, is attached to this proposal. Impact on other Majors. The only major that requires MATH 403, MATH 405, or MATH 410, is the Math Major. Consequently, adding MATH 310 as a prerequisite to MATH 403, MATH 405, and MATH 410, should not directly affect any other program. Impact on General Education. None. Since MATH 310 is an advanced Math course, this proposal has no impact on General Education. Impact on the number of sections/seats in Math courses. At present we are offering 3 sections of MATH 310 over the academic year. Given the current number of Math Majors (+Minors) that approaches 700, we expect to have to offer approximately 5-6 sections of MATH 310 every year. We also expect that the increase in the number of sections of MATH 310 will be somewhat offset by a reduction in the number of sections of MATH 410 we will need to offer. All the extra sessions of MATH 310 will be taught by the Math Department without asking for any additional resources. The change will require no additional library resources. 4. Catalog Description 3 changes should be made in the catalog description of each track (Traditional, Secondary Education, and Statistics): i. ii. iii. Add to the introductory sequence: MATH 310, Introduction to Mathematical Proof, 3 credits Remove the three stars (***) after MATH 410, Advanced Calculus 1*** Remove the comment: *** Most students are strongly encouraged to complete MATH 310 prior to attempting MATH 410 An annotated version ofthe present catalog description is attached to the proposal. t'ltC). UNIVERSITY OF .. ,) MARYLAND 2226 Haml,l W B.-nl.Ill'" IIllildinu C"lIcl/r PMk. MD 207'12 TEL 101-40'·\11 S FAX '01·11'1·9589 COLLEGE OF EDUCATION DI','Hmw/II "I T".dlinllan<l i.e.rninl!, Pulley and L";,,I'-I,hip Di,i.illll "fScirncr. T.dllllllllllV. ,nd ~hrlwlllalic, E,lu(;lli"" Dr. Doron Levy Professor and Associate Chair Department of Mathematics University of Maryland College Park, MD 20742-40 t 5 October 14.2012 Dear Dr. Levy: Thank you very much lor sharing with mc thc proposal for changing the requirements of the math m'lior to include MATH 3 t 0, along with the concomitant change in title and focus for this coursc. I havc shared this document with my colleagues in the Division of Science, 'rechnology, and Mathematics Education, as well as with staff in Student Services in the College of Education. People here are supportive of this change to the program. We hope that this change will streamline Ihe experience for those math majors who are contemplating a career in teaching. For Ihose who arc successful in MATH 310, we hope that their experience in 31 () will aid them in having successful experiences in the 400-lcvel courses required of1.hem as prospective secondary mnthemutics teachers. For students who have difliculty with MATI-I 310, this will create an opportunity early enough in their programs lor advisors to have them consider alternative pathways to certification as a teacher. lor example, as 11 middle grades mathematics teacher. Please let me know if there are any ways Ihat my colleagues and 1 might help you as you move I'orward with these plans. Sincerely, Daniel Chazan Professor and Coordinator Division of Science, Technology. and Mathematics Education Department of Teaching and Learning, Policy and Leadership College of Education University of Maryland MATH Four Year Academic Plan (Traditional Track) Year 1 Fall Credit Course Benchmark 1 ENGlI01 MATH 140, 141 3 general ed courses Spring Credit Course MATH140 (AR) 4 MATH141 4 ENGLlOl (AW) History/Social Sciences(HS)* Elective Elective Total 3 3 3 3 16 Humanities (HU)* Natural Sciences Lab* (NL) Elective Elective Total 4 3 2 3 16 Year 2 Course Credit 4 Benchmark 2 MATH24o, 241, 246 4 MATH310 & one of the following: CMSC106,131,132, ENAE202, ENEE150 or PHYS165 4 3 Total Year 3 15 Credit MATH246 [MATH310--------- ---- ---- --~ Natural Sciences*/non lab(NS) Humanities (HU)* Elective Total 1 3 3 3 3 3 15 MATH4xx = appropriate MATH/AMSC/STAT course as advised by department Credit Course Benchmark 3 MATH410 AMSC/MATH/STAT4X AMSC/MATH/STAT4X Course MATH4xx MATH4xx ENGL39X (PW) Elective MATH supporting seq 1 Total Year 4 3 3 3 3 3 15 Course MATH4xx MATH4xx Schol. In Practice* (SP) non major Elective MATH supporting seq 2 Total Credit 3 3 3 3 3 15 MATH4xx = appropriate MAT/AMSC/STAT course as advised by department Course Credit MATH4xx 3 MATH4xx 3 Elective 3 Schol. In Practice* (SP) 3 3 MATH supporting seq 3 Total 15 *AII students must complete two Distributive Studies courses that Course MATH4xx MATH4xx Elective CMNS390** (OC) Elective Total are approved I-Series courses. Credit 3 3 3 3 1 13 Students must also complete Understanding Plural Society and Cultural Competence courses that may also fulfill a Distributive Studies category. **Students must complete CMNS390 if they have not already completed a course that meets the Oral Communications requirement. MATH Four Year Academic Plan (Education Track) Year 1 Fall Spring Credit Course Benchmark 1 MATH140 (AR) ENGL101 MATH 140, 141 ENGLI0l (AW) History/Social Sciences(HS)* 3 general ed courses Elective Elective 4 3 3 3 3 Course MATH141 Humanities (HU)* Natural Sciences Lab* (NL) Elective Elective Credit 4 3 4 3 2 Total 16 Total 16 Course Credit Course Credit Year 2 Benchmark 2 4 MATH 240, 241, 246 4 MATH310 & one of the following: 4 3 CMSC106,131,132, ENAE202, ENEE150 MATH4xx [MATHiio----- --- ------------] Natural Sciences*/non lab(NS) Humanities (HU)* Elective 15 Total Total 3 3 3 3 3 15 or PHYS165 Year 3 MATH4xx = appropriate MATH/AMSC/STAT course as advised by department Course Benchmark 3 MATH4xx MATH410 MATH4xx Credit AMSC/MATH/STAT4X ENGL39X (PW) AMSC/MATH/STAT4X Elective MATH supporting seq 1 Total Year 4 Course 3 3 MATH4xx MATH4xx 3 Schor. In Practice* (SP) non major 3 3 Elective MATH supporting seq 2 15 Total Credit 3 3 3 3 3 15 MATH4xx = appropriate MAT/AMSC/STAT course as advised by department Course MATH4xx MMH40 CMNS390** Credit (OC) Schor. In Practice* (SP) Total 3 3 3 Course Credit Student teaching 15 Total 15 3 12 *AII students must complete two Distributive Studies courses that are approved I-Series courses. Students must also complete Understanding Plural Society and Cultural Competence courses that may also fulfill a Distributive Studies category. **Students must complete CMNS390 ifthey have not already completed a course that meets the Oral Communications requirement. MATH Four Year Academic Plan (Statistics Track) Year 1 Fall Spring Credit Course Credit Course Benchmark 1 MATH140 (AR) 4 MATH141 ENGl101 MATH140, 141 ENGLlOl (AW) History/Social Sciences(HS)* Elective 3 3 Humanities (HU)* Natural Sciences Lab* (NL) Elective 3 general ed courses 3 3 16 Elective Total Elective Total 4 3 4 3 2 16 Year 2 Credit Course Course Credit Benchmark 2 4 MATH240, 241, 246 4 MATH310 4 Natural Sciences*/non lab(NS) & one of the 3 Humanities (HU)* Elective following: CMSC106, 131,132, ENAE202, ENEE150 Total 15 3 MATH246 3 Total 3 3 3 15 or PHYS165 Year 3 MATH4xx = appropriate MATH/AMSC/STAT course as advised by department Course Benchmark 3 MATH410 Credit MATH4xx MATH4xx AMSC/MATH/STAT4X ENGl39X (PW) AMSC/MATH/STAT4X Elective MATH supporting seq 1 Total Year 4 Course Credit 3 3 3 MATH4xx MATH4xx 3 Schol. In Practice* (SP) non major 3 3 15 3 Elective MATH supporting seq 2 Total 3 3 3 15 MATH4xx = appropriate MAT/AMSC/STAT course as advised by department Course Credit Course MATH4xx MATH4xx 3 3 MATH4xx MATH4xx Elective Schol. In Practice* (SP) 3 3 Elective CMNS390** Credit 3 3 (DC) MATH supporting seq 3 Elective 3 Total 15 Total *AII students must complete two Distributive Studies courses that are approved I-Series courses. 3 3 1 13 Students must also complete Understanding Plural Society and Cultural Competence courses that may also fulfill a Distributive Studies category. "Students must complete CMNS390 if they have not already completed a course that meets the Oral Communications requirement. Undergraduate Catalog 2012-2013 W~lcon&(! 7. DeJllnmenu, Malonl, and Programs Site "'<:tp P~.. ~t (.-"ti1roy~ Orhcor ReSoDurccs Search L. l MATHEMAncs (MATH) MaltlemaUcs College of Computer, Mathematical and Physical Sciences IMAl11) 1117 Mathematics Building, 301-405-5053 www.math.umd.eOu Chair: J. Yorlee (Oist Unlv Pror, Chair) Professors: J. Adams, S. Antman (Olst unlv Pror, AsSot Chair APT), R. Balan, J. Benedetto (Olst Teacher Scholar), M. Boyle, P. Brosn. O. Oolgopyat, P. FltzPlltrlck, G. Forni, M. Freldlln (Olst Unlv Prof), H. Glaz, W. Goldman (Olst Teacher Scholar), M. Gril/akls, O. Gulick Course Staffing), T. Haines, S. Halperin, D. Hamilton, 8. Hunt, P. Jabln, M. Jakobson, A. Kagan (Director of Stat1stlcs Program), V. KI Chair), B. Kedem, W. Kirwan (Chancellor), D. Kueker, M. laskowski, C. Levermore, O. Levy (Assoc Chair, Undergraduate Studies), M (AsSOC Chair, faculty Afralrs), J. Mlllson, R. Nothetto, 5. Novlkov (Dlst Unlv Prof), J. Ren, J. Rosenberg (Oavls Prof), J. Schafer, E. SII (Olst Unlv pror, Director or CSCAMM), H. Tamvakls, K. Trlvlsa (Director or AMSC Program), L. Washington (Assec Chair, Graduate Stl Wentworth, P. Wolle. S. Wolpert (Dlst Teacher Scholar), G. Yang, J. Yorke (Dlst Unlv Pror, Chair) Associate Proressors: S. Cerral, W. Czaja, L. Koralov, O. Margetts, A. Mel/et, K. Okoudjou. N. Ramachandran, P. Smith (Assoc Dean), VonPetersdorff, C. Warner, H. Wlnkelnkemper Assistant Professors: M. cameron, A. Gholampour, K. Melnick, C. Zickert Lecturers: C. Cremlns (Senior Lecturer), J. Oaberlcow (Senior Lecturer), D. Franklin (Senior Lecturer), F. Gulick (Senior Lecturer), M. Mclaren (Senior Lecturer), 5. Orsettl, T. Pllachowskl, W. Schildknecht (Acad Prog Coord), E. Shearn, J. Stone (Senior Lecturer), C. T. Truman (Acad Advisor), J. Wyss-Galllfent (Senior lecturer) AmUate Professors: O. O'Leary, G. Stewart (Oist Unlv Prof) Adjunct Proressors: M. Bhatia, J. Xu Professors Emeriti: W. Adams, J. Alexander, J. Auslander, I. Babuska (Olst Unlv Prof Emerttus), C. Berenstein, K. Berg (Assoc Prof Er Brin, J. Cooper, E. Carrel, D.LaY (Dlst Teacher Scholar), J. Dancls (Assac Prof Emerttus), G. Ehrlich, 11.. Ellis, J. fey, J. Goldhaber, R. ( Green, M. Heins, G. Helzer (AssOC Pror Emeritus), R. Herb, J. Horvath, R. Johnson, R. Kellogg, H. Klnl/, A. Kleppner, G. Lehner, R. ll~ Marlcley, U. Nerl, F. Olver, J. Osborn. J. Owings, J. Sather (AsSDC Prof Emeritus), D. Schneider (Assec Prof Emeritus) Visiting Faculty: M. Macasleb (Visit Asst Prof) Faculty T1le Ma/Or Prollnlm Objectl"". Program LelImlnll Ouu:omea Acad.mlc Prognlms and Departmenlal Flcllltlee PI.eementln Course, RequlNmenla for IIIe Milar Other Requlntments 10l1he Milar Requirements lor the Minor Advillng UndergraduI" R....rch Experlenc•• Honors Program Student SoCl.1Ies and Prol.l8lOnal Organization. Awardaand RllCognltlon The Major The program In mathematics leads to a degree or Bachelor of Sdence In mathematics and offers students training In preparation ror, wOrle, teaching, and positions In government or Industry. Mathematical training 15 Integrated with computer use In several courses. strong mathematical background 15 Important In many fields, over half of UMCP mathematics majors are double majors. AddItional I on these topics and mathematics 15 available rrom the departmental website. Program Objectives The Department or Mathematics educates Its majors In a broad range of modern mathematics while InStilling In them a strong ability problems, apply mathematics to other areas, and create rigorOU5 mathematical arguments. The program prepares the majors to lu... mathematical education In graduate school, or to teach at the secondary school level, or to worle In government or business. Program Learning Outcomes 1. Students will acquire problem' solving skills In a broad range or Significant mathematics. 2. Students will gain an understanding of what constitutes mathematical thinking, Including the ability to produce and jUdge the vall rigorous mathematical arguments. 3. Students will be able to communicate mathematical Ideas and arguments. 4. Students will be prepared to use mathematics in their ruture endeavors, not only In the discipline or mathematics, but alsa In othl Academic Programs and Departmental Facilities Combined 8.S./M.A. Program In Mathematles The Department of Mathematics offers a combined 8.S./M.A. degree program ror students with exceptional ability and Interest In ma' Students enrolled In the Combined Degree Program may cou nt up to 9 credits of coursework taken for their undergraduate degree to M.A. degree as well. For further Information, please consult the Mathematics Department Web Page: www.rnath.urnd.eOu/unOergraduilte/maJors/bsma.htmi Placement In Courses The Department or Mathematics has a large offering to accommodate a great variety of backgrounds, Interests, and abilities. The del permits students to take any course ror which they have the appropriate background, regardless of formal course werle. For example with a high school calculus course may be permitted to begin in the middle of the calculus sequence even If they do not have advanc· Students may obtain undergraduate credit for mathematics courses In any of the rollowlng ways: PlIsslng the appropriate CEEB Adva Placement Examination, passing standardized CLEP examinations and through the department's Credlt·by·Examlnation. Students are consult with advisors rrom the Department or Mathematics to assist with proper placements. Statistics and Probability and Applied Mathematics Courses In statistics and probability anO applied mathematics are offered by the Department of Mathematics. These courses are open majors as well as majors, and carry credit in mathematics. Students wishing to concentrate In the above may do so by chOOSing an , program under the Department or Mathematics. Requirements for the Major There are three tracks for the major: the traditional track, the secondary education track, and the statistics traCk. The secondary ed~ IS tor stUdents seeking to become certified to teach mathematics at the secondary level. Each mathematICs major must complete eat course with a grade of C· or better. TRADITIONAL TRACK Credits MATH 140 Introdu«orv Sequence • Calculus J MATH141 Calculus II 4 MATH240 Introduction to Linear Algebra 4 4 "''''!''IIll.'''_I _ _~Ca~I~cu,I~U~S:1~1I ••;M;A~T;H~2;;4~1 enJe lritm: ............,....4 .<:lIGir--­ MATH 246 Differential Equations for Scientls,ts and Engineers 3 MATH341 MulUvariable Calculus, Linear AI\jebra, Differential Equations 4 MATH414 Differential EQuatlons J MATH436 Differential Geometry of Curves and Surfaces I 3 MATH462 Partial Differenllal Equations ror Scientists and Engineers J Eight MATH/AMSC/STAT courses" at the 400·level or hIgher; must Include: I_.....:~_ _ ~IATH410 Advanced Calculus MATH401 AppltcaUons of Linear Algebra 3 MATH403 Introduction to Abstract Algebra J MATH405 Linear Algebra J AMSC460 One From: Computational Methods 3 AMSC466 Introduction to Numerical Analysis I J 3 One From: Depth Requirement; a one year sequence clJosen from the follol1llng: MATH 410/411 Advanced Calculus I and 11 6 MATH 410/412 Advanced Calculus I / Adv Calc w/Applications 6 I Field Theory MATH 403/405 Introduction to Abstract Algebra I linear Algebra 6 STAT 410/420 Introduction to Probability Theory / Introduction to Statistics 6 MATH 403/404 Introduction to Abstract Algebra 6 Electlves+ 400 level courses (may not include: NATH 400. 461, 478, 480-484, STAT 4(4) One from: (A student may be exempt from thiS requirement If (s)he can demonstrate adequate programming knowledge from prior course or work experience.) CMSC106 Introduction to C Programming CMSC1l4 Computer SCience I 4 4 CMSC122 Introduction to Computer Programming via the Web J CMSC131 Object-Oriented Programming I 4 CMSCI3Z Object-Oriented Programming Il 4 ENAE202 Aerospace Computing 3 ENEEll'1 Programming Concepts for Engineering 4 PHYS165 Introducllon to Programming In the Physical SCiences Supporting three-course sequence Intended to broaden the student's mathematical experience. (Other sequences might be approved by the Undergraduate Office but they would ha ve to make use of mathematical ideas, comparable to the sequences on rtrls list.) Choose one sequence: PHYS161 Sequence One General Physics: Mechanics and Particle Dynamics 3 PHYS2601261 General Physics: Vibration. Waves, Heat, Electncity and Magnetism/Lab 4 PHYS270/27I General Physics: Electrodynamics, Light, Relativity and ~Iodern/lab 4 PHY5171 Sequence Two Introductory Physics: Mechanics and Relativity PHYS272 Introductory Physics: Fields PHY5273 Introductory Physics: Waves Sequence Three 3 3 J Add -tb )~oc\",c~f[ ~~CUuR...: M~ '3.\0 ~o.uct\~ -hJ fY\~~uSLP~ ~~~\s PHYS161 Statics General Physics: Mechantcs and Particle Dynamics ENES220 Mechanics of ENESI02 3 3 3 ~'aterials Sequence Four CMSCI32 Object-Oriented Programming II 4 CMSC212 Introduction to Low-Level Programming Concepts 4 CMSC250 Discrete Structures Sequence Five 4 4 CHEM146/147 Principles or General Chemistry/Lab Principles or Organic Chemistry I CHEM237 Principles or Organic Chemistry II CHEM247 4 4 Sequence SI" CHEM131/132 Chemistry I - Fundamentals of General Chemistry/Lab 4 CHEM23 11232 Organic Chemistry IlLab 4 CHEM241/242 Organic Chemistry lI/Lab Sequence Seven 4 ECON200 Principles or Micro-Economics 4 ECON201 Principles or Macro-Economics 4 ECON305 IntermedIate Macroeconomic Theory lind Policy, OR 3 Intermediate Mlcroeconomlc Theory 3 ECON306 Sequence Eight BMGT 220 Principles or Accounting I BMGT221 Principles or Accounting II 3 3 BMGT340 Business Finance 3 • Or honors sequence: MATH 340-341.Completion of HATH 340 satls(ies the requIrement (or MATH 241; completIon of MATH 340-341 satIsfies the requirement (or MATH 240· 241·246. iiiiiIIiiiiiiii •• At least four courses must be taken at College ;;;= .---.; Park. ~~~ + Students wIth a strong Interest in applied mathematics may, Ivith the approval of the Undergraduate Office, substitute two courses (wIth strong mathematics content) (rom outside the Mathematics Department (or one upper­ level elective course. AclJ~+Oa ~~.&c*"r Secondary EdUI::::;u::::: -~ MATH140 CalculUS I MATH 141 Calculus II MATH240 Introduction to Linear Algebra ~:;.,,;MA_T;.;H.2..4..1...._...,§,,~~I~~ ~.L... ~U-OQ\JC1l~ \g M_U _ . J.., n ,. ~CA" ()~ n 3 """",, , _ _, l. M.cJ~ 3\0 ~.l-.I T Sequence. MATli246 MATH341 MATH401 MATH452 MATH462 AMSC460 AMSC466 CREJ>lTS MATH410 MATH430 MATH402 MATH40J STAT400 STAT410 MATH406 MATH445 "'ATH446 MATH450 MATH456 MATH475 Differential Equations for Scientists and Engineers MUltivarlable Calculus, Linear Algebra, Differential Equations ApplicatlonsorUnearAlgebr.. Introduction to Dynamics and Chaos Partial Differential Equations for Scientists and Engineers ComputatiOnal Methods Introduction to Numerical Analysis I Credits 4 4 4 ,: " 3 4 3 3 3 3 3 Seven MATH/AMSC/STAT courses" at the 400·level or higher; must Incl~. ' Advanced Calculus jIIIIIIIIIIIIIl Euclidean and Non-Euclidean Geometries One (rom: Algebraic Structures Introduction to Abstract Algebra One from: Applied Probability and Statistics I Introduction to Probability Theory One (rom: Introduction to Number Theory 3 Elementary Mathematical Logic 3 Axiomatic Set Theory 3 3 Logic ror Computer Science Cryptology 3 Comblnatorics and Graph Theory 3 Electives 400·level MATH/AMSCISTAT course (may not Include: MATH 400,461, 478, 480-484, or STAT 464) One from: (A stude"/ may be exempt from this requirement if (s)he can demonstrate adeqlJate programmIng knowledge from prior cOllrse or wor/< experience.) Introduction to C Programming Computer Science 1 Introduction to Computer Programming via the Web Object-Oriented Pr09ramming I Object-Oriented Programming II Aerospace Computing Programming Concepts for Engineering Introduction to Programming in the Physical SCiences CMSCI06 CMSC1l4 CMSC122 CMSC131 CMSC132 ENAE202 ENEE114 PHYS16S Education Requirements· Student Teaching Seminar in Secondary Education; Mathematics Student Teaching In Secondary SchOols: Mathematics EDCI4S0 EDCI451 4 4 3 4 4 3 4 3 1 12 Supporting Sequence CHEM131/132 CHEM231/232 PHYS161 PHYS260/261 BSCItOS BSClt06 ASTR120 ASTR121 GEOll 00/11 0 GEOl322 GEOl340 GE0l341 GE0l375 AOSC200/201 AOSCxxx One of the followIng SlJPporting two course seqlJences. These are Intended to broaden the stlJden/'s ma/hematical experience, Sequence Ono Chemistry I - fundamentals of General Chemistry/Lab Organic Chemistry l/Lab Sequence Two General PhYSics: Mechanics and Particle Dynamics General Physics: Vibration, Waves, Heat, Electricity and Magnetism/Lab Sequence Three Prln clples of Biology I Principles of Biology II sequence Four Introductory Astrophysics - Solar System Introductory Astrophysics II . Stars and Beyond Sequence Five Physical Geology/Lab Mineralogy, or Geomorphology, or Structural Geology, or Introduction to tile Slue Ocean Sequence SIK Weather and Climate/Lab and Any 400 level AOSC course 4 4 3 4 4 4 3 4 4 4 4 4 3 4 3 • Or honors sequence: MATH 340-341. Completion of MATH 340 satIsfies the reqlJ/rement (or MATH 241; completion of lolA Ttl 340-341 satisfies tile requirement for MATH 240-241-246. ~.'ilkeniltColleIiP"'~ .. ~ il\8IJdi!84I1GP.. n;es;;;dent-teilchlng;EDCl 450-451 Is 13 credits lind has further prerequIsites In the College of Educill/on. In order to take tlmse COlJrses the student must be lIdmlned into the College of Education. A stlldent In the secondary edlJcation track of the mathematles major would normally be expected to receive a double major In Mathem,Hles and Mil/hematics EdlJCill/on. Statistics Track Credits Introductory Sequence­ Calculus I Calculus It Introduction to Linear Algebra Calculus tit One from: DIfferential Equations for 4 4 4 4 3 MATH414 Scientists and Engineers Mullillariable Calculus, Linear Algebra, Differential Equations Differential Equations 4 3 Eight MATH/AMSC/STAT courses-·; must Include: MATH410 STAT410 STAT430 AMSC460 ~ _calCUlUS IntroductJon [0 Probability Theory Introduction to StatiStical Computing and SAS One from: Computational Methods Introduction to 3 3 3 3 ,.,.1.1...... ""'''''' MATH401 MATH40S STAT401 STAT420 STAT4·· MATH411 MATH412 MATH414 MATH424 MATH464 AMSC 477 810M 402 Numerical Analysis I One from: Applications of LI near Algebra Linear Algebra One from: Applied Probability and Statistics 1I Introduction to Statistics Two additional courses f11>m the following list: Any 400-level or higher STAT courses (except STAT 464) Advanced calculus 1I Advanced calculus with Applications Differential Equations Introduction to the Mathematics of Finance Transfonn Methods 'or Scientists and Engineers Optimization StatistiCS for Human and Veterinary Medldne 3 3 3 3 3 3 3 3 3 J 3 J One from: CMSCI06 CMSCII4 CMSCI22 CMSC131 CMSCI32 eNAE202 ENEEll'1 PHYS16S (A student may be exempt from this requirement If (s)he can demonstrate adequate programming knowledge from prior course or worlc experience.) Introduction to C Programming Computer Science 1 Introduction to Computer Programming via the Web ObJect·Oriented programming 1 Object-Oriented Programming 11 Aerospace Computing Programming Concepts 'or engineering Introduction to Programming In the Physical Sc:tences Supporting three­ cou.... sequence PHYS161 PHYS2601261 PHYS270/271 PHYSl71 Intended to broaden the stlIdetJt's matflematlall experience. (Other sequetJces might be Bpproved by the Undergrifduate Office but lhey would hal/e to make use of mathematical Idea:s comparable to the sequenc:e:s on this /1st.) Choose one sequence. Sequenr:e One General Physics: 3 Mechanics and Partlde Dynamics General Physics: Vibration, Waves, 4 Heat, Electricity and Magnetism/lab General PhysiCS: 'I Electrodynamics, Light. RelatiVity end Modem/Lab SeqUfltlC8 Two 1ntroductory Physics: Mechanics 3 'I 4 3 4 4 J 4 3 PHYS272 PHYS273 ENESI02 PHYSI61 ENES220 CMSCI32 CMSC212 CMSC25 0 CHEM146/147 O'lEM237 CHEM247 Other RequIrements for the Major AREAS OF STUDY Within the Department of Mathematics there are a number of Identifiable areas WhiCh students can pursue to suit their own goals and interests. They are brleny descrlbed below. Note that they do overlap and that students need not confine themselves to one of them. 1. Pure mathematics: Courses that belong to this area Include: MATH 402, 403.404.405.406,410.411,414.430,432.436,437.445. 446. 452. 456, and STAT 410,420. Students preparing for graduate school In mathemallcs should Include MATH 403, 405, 410, 411 (or 412) and 463 (or 660) In their programs. MATH 432 (or 730) Is also desirable. Other courses from the above list and graduate courses are also appropriate. Z. Secondary teaching: In addition to the courses reqUired by the Secondary Education Track, the following courses are particularly suited for students preparIng to teach: MATH 401, 406, 445. 470 and 475. Students who are Interested In secondary teaching should contact also the College of Education for cenlOcatlon reqUirements and other Information: www.education.umd.edu/studentinfo • 3. StatisUCSl For a student with a Bachelor's degree seeking work requiring some statistical baCkground, the minimal program Is STAT 400-401. To work prlmarlly as a statistician. one should combine STAT 400-401 with STAT 430 and at least one more statistics course. most suitably, STAT 440. A deeper sequence Is STAT 410. 420. 430. This offers a better understanding and wider knOWledge of statistics and Is a general purpose program (I.e•• does not specify one area of application). For economics applications. MATH 424. STAT 400. 401. 430. 440 should be considered. To prepare for graduate work, STAT 410 and 420 give the best baCkground. with STAT 430.440 added at some later stage. 4. CamputaUonai mathemaUcs: There are a number of math courses which emphaSize the computational aspects of mathematics InclUding the use of the computer. They are AMSC 460.466, MATH 431. 456. 475 and STAT 430. Students Interested In this area should take the CMSC supporting sequence as soon as possible. 5. Applied mathematics: The courses that lead most rapidly to applicatIons are the courses listed above In 3 and 4 and MATl-t 401. 412. 414. 416. 420. 452, 462. and 464. A student Interested In applied mathematics should obtain. In addition to a solid training In mathematics. a good knowledge of at least one area In which mathematIcs Is currently being applied. Concentration In this area Is good preparation for employment In government and Industry or for graduate study In applied mathematicS. Requirements for the Minor The Department of Mathematics offers Minot'S In the follOWing areas: Actuarial Mathematics Mathematics StatistICs A Minor offel'l a structured program of study outside a student's major. See www.math.umd.edu/undergraduate/opportunities for detailed Information. AdvisIng Advising for math majors is mandatory. Students are required to sign up for an adViSing appointment online. beginning the week before early registration. Students who have been away more than two years may find that due to and Relativity Introductory 3 PhysiCS: Fields Introductory 3 PhysiCS: Waves Sequence Th~ 3 Statics General PhysiCS: Mechanics and 3 Particle Dynamics Mechanics of 3 Materlals Sequence Four Object-Oriented 4 Programming II Introduction to Low· level Programming 4 Concepts Discrete Structures 4 5equfItJr:e Fille Prlndples of General 4 Chemistry/lab Prlndples of Organic 4 Chemistry I Prlndples of OrganiC 4 Chemistry II Sequence Six yCC"... I"Co;;'5e stiltement or tne requirements may be found at www.math.umd.edu/undergraduate/opportunilies/DepartmentaIHonors.lltml The department also offers a special department honors sequence MATH 340­ 341 for promtslnll freshmen with a strong mathe/Tllltical background (Indudlng calculus). Enrollment In the sequence Is by Invitation. Participants In Honors College may also enroll In specl,1 honors sectiOnS of the lower-level mathematics courses (MATH 140H, 141H. 240H. 241H, 246H). Students In Math 340·341 and the special honors sections need not be math majors. The mathematics department,1 honors sequence and the Honors College program are distinct. and enrollment In one does not Imply acceptance In the other. Student Societies ilnd Professional Organizations There are several student-run groups within the department: the Math Club, PI Mu Epsilon, and Women In Math. For Information, please visit: www.math.umd.edu/undergraduate/mathclub/ www.math.umd.edu/undergraduate/mathclub/l.Home.html www·users.math.umd.edu/~wlm/ Awards and Recognition Allron Strauss Scholarships: One Is ,warded each spring to an outstanding non-graduating math major. The recipient receives full remiSSion of (in-state) tuition for the following academic year. Applications may be obtained early In the prevIOus spring semester from the Mathematics Undergraduate Office, 1117 Mathematics Building. Azlz Mathematics Scholarship: The Azil scholarship Is the department's highest award of mathematical excellence for a non-graduating math major. When eligible, the recelplent receives a monetary 'ward to cover In-state tuition In the following academic year. Dan Sweet Scholarship: A one-semester stipend awarded to a math major on the basis of merit. Edgar Krahn ScholarshIp: A monetary award Is made on the basis of performance In the Maryland High School Mathematics COmpetition. Eudld TeachinG Assistantship: This Is an opportunity for a math major planning to teach In secondary or middle SChool to work as an undergraduate TA. Apply In the spring for the following year Higginbotham Prize: A monetary award Is made to an outstanding Junior math major In the spring. Milton Abramowitz Award: A monetary award Is made to an outstanding Junior or senior math major In the sprtng. outstanding Senior Award: A monetary award Is made to the outstanding gradultlng math major. Secondary Education-Mathematics (sEM) SCholanhlp: Up to two are awarded In the spring to Secondary Education-Mathematics double majors. Strauss Teaching Assistantship: This 15 an opportunity for outstanding math majors to work as an undergraduate TA. Apply in the sprIng for the following year. For further Information on awards. consult www.math.umd.edu/undergraduate/oppartunlties Return to top Produced hy the OUice or the Regislr.."