~ MEMORANDUM FROM:

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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
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