Undergraduate Catalog 2009-2011
Mathematical Sciences
Faculty
J. McGowan, Chair; F. Bensics, R. Bilisoly, N.
Castaneda, Y. Chen, R. Crouse, D. Dzuida, I. Gotchev, S. L. Gould, P. Halloran,
C. Jin, S. Jones, R. S. Kalder, D. T. Larose, F. Latour, S. Lesik, E.
Makover, A. Miller, D. S. Miller, M.
Mitchell, O. Perdomo, L. Recoder-Núñez, T. Roman, K. Saha, R. Schwell, C. D.
Smith, R. Vogeler, C. Waiveris (Dept.
phone: 860-832-2835)
Department Overview
The Department of
Mathematical Sciences has 30 full-time faculty members with expertise in
mathematics, mathematics education, developmental mathematics, actuarial
science, statistics, data mining, and mathematical physics. Our programs
prepare students for teaching, business, industry, and research. In addition,
we provide students in the Schools of Engineering and Technology, Business, and
Educational and Professional Studies, as well as in other departments within
the School of Arts and Sciences, with the mathematics and statistics courses
needed for success in their fields.
Programs
Major
in Mathematics, BA (38 credits)
| MATH 152 |
Calculus I |
4 |
| MATH 218 |
Discrete Mathematics |
4 |
| MATH 221 |
Calculus II |
4 |
| MATH 222 |
Calculus III |
4 |
| MATH 228 |
Introduction to Linear Algebra |
4 |
| MATH 366 |
Introduction to Abstract Algebra |
4 |
| MATH 377 |
Introduction to Real Analysis |
4 |
| MATH 450 |
Seminar in Proof |
4 |
|
|
|
| and
6 credits selected from: |
|
| MATH 250 |
Symbolic Computation |
4 |
| MATH 300 |
Mathematics Internship |
3 |
| MATH 355 |
Introduction to Differential Equations with Applications |
4
|
| MATH 383 |
College Geometry |
3 |
| MATH 398 |
Independent Study in Mathematics |
1-3 |
| MATH 421 |
History of Mathematics |
3 |
| MATH 440 |
Selected Topics in Mathematics |
1-3 |
| MATH 455 | Introductions to Partial
Differential Equations with Applications | 4 |
| MATH 468 |
Symbolic Logic |
3 |
| MATH 469 |
Number Theory |
3 |
| MATH 470 |
Mathematical Methods in Operations Research |
3 |
| MATH 477 |
Numerical Analysis |
3 |
| MATH 491 |
Advanced Calculus |
3 |
| STAT 315 |
Mathematical Statistics I |
3 |
| STAT 416 |
Mathematical Statistics II |
3 |
| STAT 425 |
Loss and Frequency Distributions and Credibility Theory |
3
|
| STAT 455 |
Experimental Design |
3 |
| STAT 456 |
Fundamentals of SAS |
3 |
| STAT 465 |
Nonparametric Statistics |
3 |
| STAT 476 |
Topics in Statistics |
3 |
| ACTL 335 |
Theory of Interest |
3 |
| ACTL 465 |
Actuarial Models I |
4 |
| ACTL 480 |
Topics in Actuarial Science |
1-3 |
| ACTL 481 |
Review-SOA/CAS Course I |
3 |
| ACTL 482 |
Review-SOA/CAS Course II |
3 |
|
|
|
| In
addition, two laboratory science courses are required. |
|
|
|
| Note:
CS 151 is strongly recommended. |
|
| | |
Major in Mathematics with Specialization in Actuarial
Science, BA (58 credits)
Core (40 credits)
| MATH 152 |
Calculus I |
4 |
| MATH 218 |
Discrete Mathematics |
4 |
| MATH 221 |
Calculus II |
4 |
| MATH 222 |
Calculus III |
4 |
| MATH 228 |
Introduction to Linear Algebra |
4 |
| STAT 315 |
Mathematical Statistics I |
3 |
| STAT 416 |
Mathematical Statistics II |
3 |
| STAT 425 |
Loss and Frequency Distributions and Credibility Theory |
3
|
| ACTL 335 |
Theory of Interest |
3 |
| ACTL 465 |
Actuarial Models I |
4 |
| ACTL 466 |
Actuarial Models II |
4 |
Directed Electives (18 credits, as
approved by advisor)
6-12 credits from:
| ACTL 480 |
Topics in Actuarial Science |
1-3 |
| ACTL 481 |
Review-SOA/CAS Course I |
3 |
| ACTL 482 |
Review-SOA/CAS Course II |
3 |
| MATH 300 |
Mathematics Internship |
3 |
and
6-12 credits from the following:
| AC 211 |
Financial Accounting |
3 |
| AC 212 |
Managerial Accounting |
3 |
| CS 151 |
Computer Science I |
3 |
| CS 152 |
Computer Science II |
3 |
| CS 213 |
Applications of Computing I |
3 |
| CS 473 |
Simulation Techniques |
3 |
| ECON 460 |
Economic Forecasting |
3 |
| FIN 295 |
Managerial Finance |
3 |
| FIN 320 |
Financial Markets and Institutions |
3 |
| FIN 410 |
Securities Analysis |
3 |
| FIN 420 |
Bank Management |
3 |
| LAW 250 |
Legal Environment of Business |
3 |
| MGT 295 |
Fundamentals of Management |
|
|
and Organizational Behavior |
3 |
Note: ECON 200 and
201 are strongly recommended.
Note: No minor is
required for students selecting this major.
Major in Mathematics with
Specialization in Statistics, BA (58 credits)
| MATH 152 |
Calculus I |
4 |
| MATH 218 |
Discrete Mathematics |
4 |
| MATH 221 |
Calculus II |
4 |
| MATH 222 |
Calculus III |
4 |
| MATH 228 |
Introduction to Linear Algebra |
4 |
| MATH 366 |
Introduction to Abstract Algebra |
4 |
| or |
|
|
| MATH 377 |
Introduction to Real Analysis |
4 |
| STAT 215 |
Statistics for Behavioral Sciences I |
3 |
| STAT 315 |
Mathematical Statistics I |
3 |
| STAT 416 |
Mathematical Statistics II |
3 |
| STAT 216 |
Statistics for Behavioral Sciences II |
3 |
| or |
|
|
| STAT 453 |
Applied Statistical Inference |
3 |
|
|
|
| 2
courses chosen from: |
|
| STAT 425 |
Loss and Frequency Distributions |
|
|
and Credibility Theory |
3 |
| STAT 455 |
Experimental Design |
3 |
| STAT 456 |
Fundamentals of SAS |
3 |
| STAT 465 |
Nonparametric Statistics |
3 |
| STAT 476 |
Topics in Statistics |
3 |
| ACTL 335 |
Theory of Interest |
3 |
| ACTL 465 |
Actuarial Models I |
4 |
| ACTL 466 |
Actuarial Models II |
4 |
| ACTL 481 |
Review-SOA/CAS Course I |
3 |
| MATH 470 |
Mathematical Methods in Operations Research |
3 |
16 credits selected
from the courses listed above or from the following:
| MATH 300 |
Mathematics Internship |
3 |
| MATH 491 |
Advanced Calculus |
3 |
| CS 151 |
Computer Science I (strongly recommended) |
3 |
| CS 152 |
Computer Science II |
3 |
| CS 253 |
Data and File Structures |
3 |
| CS 473 |
Simulation Techniques |
3 |
| BIO 405 |
Ecology |
4 |
| ECON 460 |
Economic Forecasting |
3 |
| ECON 485 |
Econometrics |
3 |
| GEOG 476 |
Advanced Cartography |
3 |
| PSY 222 |
Research Methods in Psychology II |
4 |
| PSY 451 |
Psychological Evaluation |
3 |
Note: No minor is required for students choosing this major.
Note: CS 151 is strongly recommended.
Major
in Mathematics, BS (Certifiable for secondary teaching, 48 credits)
| MATH 120 |
Problem Solving I |
1 |
| MATH 152 |
Calculus I |
4 |
| MATH 211 |
Clinical Experience in Mathematics Education I |
1 |
| MATH 218 |
Discrete Mathematics |
4 |
| MATH 220 |
Problem Solving II |
1 |
| MATH 221 |
Calculus II |
4 |
| MATH 228 |
Introduction to Linear Algebra |
4 |
| MATH 313 |
Number Systems from an Advanced Viewpoint |
3 |
| MATH 320 |
Problem Solving III |
1 |
| MATH 327 |
Curriculum & Technology in Secondary Mathematics I |
3
|
| MATH 328 |
Curriculum & Technology |
|
|
in Secondary Mathematics II |
3 |
| MATH 366 |
Introduction to Abstract Algebra |
4 |
| MATH 377 |
Introduction to Real Analysis |
4 |
| MATH 383 |
College Geometry |
3 |
| STAT 314 |
Introductory Statistics for Secondary Teachers |
3 |
|
|
|
| and
5 additional credits from: |
|
| MATH 222 |
Calculus III |
4 |
| MATH 250 |
Symbolic Computation |
4 |
| MATH 311 |
Clinical Experience in Mathematics Education II |
1 |
| MATH 344 |
Mathematics in Diverse Cultures |
3 |
| MATH 355 |
Introduction to Differential Equations with Applications |
4
|
| MATH 411 |
Clinical Experience in Mathematics Education III |
1 |
| MATH 421 |
History of Mathematics |
3 |
| MATH 440 |
Selected Topics in Mathematics |
1-3 |
| MATH 465 |
Introduction to Fractal Geometry and Chaos |
3 |
| MATH 468 |
Symbolic Logic |
3 |
| MATH 469 |
Number Theory |
3 |
| MATH 470 |
Mathematical Methods in Operations Research |
3 |
| MATH 477 |
Numerical Analysis |
3 |
| MATH 491 |
Advanced Calculus |
3 |
| STAT 315 |
Mathematical Statistics I |
3 |
| STAT 416 |
Mathematical Statistics II |
3 |
| STAT 453 |
Applied Statistical Inference |
3 |
| STAT 455 |
Experimental Design |
3 |
| STAT 456 |
Fundamentals of SAS |
3 |
| STAT 465 |
Nonparametric Statistics |
3 |
|
|
|
| In
addition, students are required to take: |
|
| either |
|
|
| CHEM 161 |
General Chemistry I |
3 |
| CHEM 162 |
General Chemistry Lab I |
1 |
| CHEM 163 |
General Chemistry II |
3 |
| CHEM 164 |
General Chemistry II Lab |
1 |
| or |
|
|
| PHYS 125 |
University Physics I |
4 |
| PHYS 126 |
University Physics II |
4 |
|
|
|
| and |
|
|
|
|
|
| either |
|
|
| CS 151 |
Computer Science I |
3 |
| or |
|
|
| CS 213 |
Applications of Computing I |
3 |
Upon acceptance
into the professional program in teacher education students are required to
complete a 30-credit program consisting of:
| SPED 315 |
Introduction to Educating
Learners with Exceptionalities |
3
|
| EDTE 316 |
Principles of Learning (Sec/K-12) |
4 |
| RDG 440 |
Literacy in Secondary School |
3 |
| EDF 415 |
Educational Foundations |
3 |
| EDSC 425 |
Principles of Secondary Education |
3 |
| MATH 413 |
Teaching Mathematics in the Secondary School |
4 |
| (taken
concurrently with EDSC 425 and RDG 440) |
| EDSC 435 |
Secondary Education Student Teaching |
3-9 |
| MATH 426 |
Student Teaching Seminar |
1 |
| (taken
concurrently with EDSC 435) |
|
No minor is required for students with this major.
Major
in Mathematics, BS (Certifiable for elementary teaching, 33 credits)
Core (21-22 credits)
| MATH 113 |
Structures of Mathematics I:
Number Systems |
3 |
| MATH 213 |
Structure of Mathematics II: Probability & Geometry |
3
|
| MATH 305 |
Structure of Mathematics III: Number Patterns |
3 |
| MATH 306 |
Structures of Mathematics IV: Development of Geometric Ideas |
3
|
| MATH 409 |
Mathematics through Computers |
3 |
| STAT 215 |
Statistics for Behavioral Sciences |
3 |
| MATH 125 |
Applied Calculus |
3 |
| or |
|
|
| MATH 152 |
Calculus I |
4 |
Directed Electives (11-12 credits)
| MATH 110 |
Finite Mathematics |
3 |
| MATH 115 |
Trigonometry |
3 |
| MATH 116 |
Pre-Calculus Mathematics (formerly MATH 121) |
3 |
| MATH 119 |
Pre-Calculus with Trigonometry |
4 |
| MATH 120 |
Problem Solving I |
1 |
| MATH 211 |
Clinical Experience in Mathematics Education I |
1 |
| MATH 218 |
Discrete Mathematics |
4 |
| MATH 221 |
Calculus II |
4 |
| MATH 307 |
Topics in Elementary Mathematics |
1-3 |
| MATH 344 |
Mathematics in Diverse Cultures |
3 |
| STAT 216 |
Statistics for Behavioral Sciences II |
3 |
Note: Majors should
consult with the School of Education and Professional Studies concerning
additional education requirements.
Minor
in Mathematics (For students completing secondary certificates, 19
credits)
| MATH 152 |
Calculus I |
4 |
| MATH 218 |
Discrete Mathematics |
4 |
| MATH 221 |
Calculus II |
4 |
| MATH 228 |
Introduction to Linear Algebra |
4 |
| or |
|
|
| MATH 366 |
Introduction to Abstract Algebra |
4 |
| STAT 314 |
Introductory Statistics for Secondary Teachers |
3 |
Note: For
certification in mathematics as a second teaching field, the state of
Connecticut requires a minimum of 30 credits in mathematics and an acceptable
score on the Praxis II examination.
Minor
in Mathematics (Non-teaching, 20 credits)
| MATH 152 |
Calculus I |
4 |
| MATH 221 |
Calculus II |
4 |
| MATH 222 |
Calculus III |
4 |
| and
two courses selected from: |
|
| MATH 218 |
Discrete Mathematics |
4 |
| MATH 226 |
Linear Algebra and Probability for Engineers |
4 |
| MATH 228 |
Introduction to Linear Algebra |
4 |
| MATH 250 |
Symbolic Computation |
4 |
| MATH 355 |
Introduction to Differential Equations with Applications |
4
|
| MATH 366 |
Introduction to Abstract Algebra |
4 |
| MATH 377 |
Introduction to Real Analysis |
4 |
|
|
|
Minor
in Statistics (21 credits) |
|
| STAT 215 |
Statistics for Behavioral Sciences I |
3 |
| STAT 216 |
Statistics for Behavioral Sciences II |
3 |
| CS 151 |
Computer Science I |
3 |
|
|
|
| and
9 credits from the following: |
|
| MATH 110 |
Finite Mathematics |
3 |
| MATH 470 |
Mathematical Methods in Operations Research |
3 |
| STAT 455 |
Experimental Design |
3 |
| STAT 456 |
Fundamentals of SAS |
3 |
| STAT 465 |
Nonparametric Statistics |
3 |
| STAT 476 |
Topics in Statistics |
3 |
and one course
chosen from the courses listed above or from:
| CS 473 |
Simulation Techniques |
3 |
| BIO 405 |
Ecology |
4 |
| ECON 460 |
Economic Forecasting |
3 |
| ECON 485 |
Econometrics |
3 |
| GEOG 476 |
Advanced Cartography |
3 |
| PSY 222 |
Research Methods in Psychology II |
4 |
| PSY 451 |
Psychological Evaluation |
3 |
Note: No more than
one course may be used in both the student's major program and the minor in
statistics.
For Certification in Elementary Education, Primary Subject
Matter Area in Mathematics (24-26 credits)
| MATH 113 |
Structure of Mathematics I:
Number Systems |
3 |
| MATH 213 |
Structure of Mathematics II: Probability & Geometry |
3
|
| MATH 305 |
Structure of Mathematics III: Number Patterns |
3 |
| MATH 306 |
Structure of Mathematics IV: Development of Geometric Ideas |
3
|
| MATH 409 |
Mathematics through Computers |
3 |
| STAT 215 |
Statistics for Behavioral Sciences I |
3 |
| MATH 115 |
Trigonometry |
3 |
| or |
|
|
| MATH 119 |
Pre-Calculus with Trigonometry |
4 |
| MATH 125 |
Applied Calculus |
3 |
| or |
|
|
| MATH 152 |
Calculus I |
4 |
Please consult with
the School of Education and Professional Studies concerning additional
requirements for dual subject programs and interdisciplinary majors.
CLICK HERE FOR COURSE DESCRIPTIONS
