Undergraduate Course Catalog 2007-2008
College of Engineering and Physical Sciences
» http://www.ceps.unh.edu
Mathematics and Statistics (MATH)
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Professor: Albert B. Bennett Jr., Liming Ge, Karen J. Graham, Eric L. Grinberg, Donald W. Hadwin, Rita A. Hibschweiler, A. Robb Jacoby, Ernst Linder, Eric A. Nordgren, Samuel D. Shore, Kevin M. Short, Marianna A. Shubov
Associate Professor: Maria Basterra, David V. Feldman, William E. Geeslin, Edward K. Hinson, Berrien Moore III, Dmitri A. Nikshych
Assistant Professor: Linyuan Li
Instructor: Philip J. Ramsey
Lecturer: Mehmet Orhon, Neil Portnoy, Junhao Shen, Yitang Zhang
The Department of Mathematics & Statistics offers a variety of programs. These programs provide flexibility through elective choices and are designed to maximize educational and employment opportunities. Each student must enroll in one specific program; however, changes between programs can usually be accommodated.
The first two years of all programs are similar. In the first year, students are expected to take Calculus I (MATH 425) and Calculus II (MATH 426) as well as an introductory computer programming course (CS 410, or CS 415). A sophomore typically takes follow-up calculus courses in differential equations (MATH 527) and multidimensional calculus (MATH 528), an introductory statistics course (MATH 639) and a course in mathematical proof (MATH 531, or MATH 545).
In addition to its degree programs, the department has an active interest in the actuarial profession and is an examination center for the Society of Actuaries. Those interested in actuarial science should seek the advice of the coordinator of the actuarial program in the department.
For more information about the department’s undergraduate programs, visit www.math.unh.edu.
Standards for Graduation
To be certified for graduation with a degree from the Department of
Mathematics and Statistics, a student must complete all courses used to
satisfy the requirements for the major program with a grade of C- or
better and have an overall grade-point average of at least 2.00 in
these courses.
Bachelor of Arts, Mathematics Major
This program may offer a broader liberal arts program than the bachelor
of science degree programs. By a careful selection of electives,
students can shape this major into a preparation for graduate school,
business, or industry.
Required MATH courses
MATH 425, Calculus I
MATH 426, Calculus II
MATH 527*, Differential Equations with Linear Algebra
MATH 528*, Multidimensional Calculus
MATH 531, Mathematical Proof; or
MATH 545, Introduction to Linear Algebra and Mathematical Proof
MATH 539, Introduction to Statistical Analysis
MATH 761, Abstract Algebra
MATH 762, Linear Algebra
MATH 767, One-Dimensional Real Analysis
_____
*These requirements can be satisfied by MATH 525-526, Linearity I-I
Other required courses
Two approved MATH electives chosen in consultation with your academic adviser
CS 410, Introduction to Scientific Programming or CS 415, Introduction to Computer Science I
Foreign language requirement as defined by the University for the B.A. degree.
Bachelor of Science in Mathematics
This program offers the strongest concentration in mathematics, requiring courses that are intended to prepare the student for graduate work in mathematics. Through a judicious choice of electives, students may design stronger pre-graduate programs, a program in applied mathematics, or slant the program toward a career in business or industry.
Required MATH courses
MATH 425, Calculus I
MATH 426, Calculus II
MATH 527*, Differential Equations with Linear Algebra
MATH 528*, Multidimensional Calculus
MATH 531, Mathematical Proof: or
MATH 545 Introduction to Linear Algebra and Mathematical Proof
MATH 539, Introduction to Statistical Analysis
MATH 761, Abstract Algebra
MATH 762, Linear Algebra
MATH 767, One-Dimensional Real Analysis
MATH 784, Topology
MATH 788, Complex Analysis
_____
*These requirements can be satisfied by MATH 525-526, Linearity I-II.
Other required courses
Two approved MATH electives chosen in consultation with your academic adviser
CS 410, Introduction to Scientific Programming; or CS 415, Introduction to Computer Science I
PHYS 407-408, General Physics I and II, which may be used to satisfy general education requirements in Group 3
Bachelor of Science: Interdisciplinary Programs in Mathematics and Its Applications
The programs in interdisciplinary mathematics prepare students for employment in areas of applied mathematics and statistics. Some of them can lead to graduate work in appropriate fields (e.g., physics, computer science, or economics). The major may consist of mathematics combined with Computer Science, Economics, Statistics, Electrical Science, or Physics.
Each program requires ten mathematics courses along with at least six
courses in the discipline of the option.
Requirements
Required courses in all options:
MATH 425, Calculus
MATH 426, Calculus II
MATH 527*, Differential Equations with Linear Algebra
MATH 528*, Multidimensional Calculus
MATH 531, Mathematical Proof; or
MATH 545, Introduction to Linear Algebra and Mathematical Proof
MATH 539, Introduction to Statistical Analysis
MATH 645*, Linear Algebra for Applications
CS 410, Introduction to Scientific Programming; or
CS 415, Introduction to Computer Science I
_____
*These requirements can be satisfied by MATH 525-526, Linearity I-II
Note: If MATH 545 is taken, credit may not be earned for MATH 645 so that
students must choose a MATH elective in consultation with their
academic adviser.
Other required courses by option:
Computer Science Option
MATH 532, Discrete Mathematics
MATH 753, Introduction to Numerical Methods I
One approved MATH elective chosen in consultation with your academic adviser.
CS 415, Introduction to Computer Science I
CS 416, Introduction to Computer Science II
CS 515, Data Structures
CS 516, Introduction to Software Design and Development
CS 520, Assembly Language Programming and Machine Organization
CS 620, Operating System Fundamentals
CS 659, Introduction to the Theory of Computation; or CS 658, Analysis of Algorithms
One approved CS elective chosen in consultation with your academic adviser.
Economics Option
MATH 739, Applied Regression Analysis
One MATH course chosen in consultation with your academic adviser from the following courses:
MATH 740, Design of Experiments I
MATH 741, Biostatistics and Life Testing
MATH 742, Multivariate Statistics Methods
MATH 755, Probability and Stochastic Processes with Applications
One approved MATH elective chosen in consultation with your academic adviser.
ECON 401, Principles of Economics (Macro)
ECON 402, Principles of Economics (Micro)
ECON 605, Intermediate Microeconomic Analysis
ECON 611, Intermediate Macroeconomic Analysis
EREC 715, Linear Programming and Quantitative Models
One approved ECON or DS course chosen in consultation with your academic adviser.
Electrical Science Option
MATH 646, Introduction to Partial Differential Equations
MATH 647, Complex Analysis for Applications
MATH 753, Introduction to Numerical Methods I
EE 541, Electrical Circuits
EE 548, Electronics Design I
EE 603, Electromagnetic Fields and Waves I
EE 633, Signals and Systems I
EE 634, Signals and Systems II
EE 757, Fundamentals of Communication Systems
Physics Option
MATH 646, Introduction to Partial Differential Equations
MATH 647, Complex Analysis for Applications
MATH 753, Introduction to Numerical Methods I
PHYS 407, Physics I
PHYS 408, Physics II
PHYS 505-506, Physics III
Three PHYS courses, chosen in consultation with your academic adviser, from the following courses:
PHYS 508, Thermodynamics and Statistical Mechanics
PHYS 616, Physical Mechanics
PHYS 701, Introduction to Quantum Mechanics I
PHYS 702, Introduction to Quantum Mechanics II
PHYS 703, Electricity and Magnetism I
PHYS 704, Electricity and Magnetism II
PHYS 708, Optics
Statistics Option
MATH 739, Applied Regression Analysis
MATH 755, Probability and Stochastic Processes with Applications
MATH 756, Principles of Statistical Inference
Two MATH courses chosen in consultation with your academic adviser from the following courses:
MATH 740, Design of Experiments I
MATH 741, Biostatistics and Life Testing
MATH 742, Multivariate Statistics Methods
Three approved MATH courses chosen in consultation with your academic adviser.
Bachelor of Science in Mathematics Education
This professional degree program prepares students for mathematics teaching at the elementary, middle/junior high, or secondary level. The program is coordinated with the education department’s teacher certification programs.
For the elementary option, full certification requires the five-year program. Students may complete the degree requirements for middle/junior high or secondary option with full teacher certification in either four or five years. Students electing the four-year option must plan for one semester of student teaching (EDUC 694) in their senior year and must consult with the departmental adviser in order to accommodate the scheduling of required MATH courses. The five-year program requires a year-long teaching internship in the fifth year that can be coupled with other graduate work leading to a master’s degree. See Department of Education, College of Liberal Arts.
Elementary School Option
Required MATH courses:
MATH 425, Calculus I
MATH 426, Calculus II
MATH 539, Introduction to Statistical Analysis
MATH 545, Introduction to Linear Algebra and Mathematical Proof
MATH 619, Historical Foundations of Mathematics
MATH 621, Number Systems for Teachers
MATH 622, Geometry for Teachers
MATH 623, Topics in Mathematics for Teachers
MATH 657, Geometry
MATH 700, Introduction to Mathematics Education
MATH 703, The Teaching of Mathematics, K-6
Other required courses:
Two approved MATH electives chosen in consultation with your academic adviser:
CS 410, Introduction to Scientific Programming; or
CS 415, Introduction to Computer Science I
PHYS 406, Introduction to Modern Astronomy, which may be used to satisfy general education requirements in Group 3
EDUC 500, Exploring Teaching
EDUC 700, Educational Structure and Change
EDUC 701, Human Development and Learning: Educational Psychology
EDUC 705, Alternative Perspectives on the Nature of Education
EDUC 706, Introduction to Reading Instruction in the Elementary Schools
Note: EDUC 703F, EDUC 703M, and EDUC 751 are requirements for certification that may be taken as an undergraduate.
Middle/Junior High School Option
Required MATH courses
MATH 425, Calculus I
MATH 426, Calculus II
MATH 539, Introduction to Statistical Analysis
MATH 545, Introduction to Linear Algebra and Mathematical Proof
MATH 619, Historical Foundations of Mathematics
MATH 621, Number Systems for Teachers
MATH 622, Geometry for Teachers
MATH 623, Topics in Mathematics for Teachers
MATH 657, Geometry
MATH 698, Senior Seminar
MATH 700, Introduction to Mathematics Education
MATH 780, Teaching of Mathematics, 5-8
Other required courses
Two approved MATH electives chosen in consultation with your academic adviser.
CS 410, Introduction to Scientific Programming ; or
CS 415, Introduction to Computer Science I
EDUC 500, Exploring Teaching
EDUC 700, Educational Structure and Change
EDUC 701, Human Development and Learning: Educational Psychology
EDUC 705, Alternative Perspectives on the Nature of Education
Note: EDUC 751 is a requirement for certification that may be taken as an undergraduate.
Secondary School Option
Required MATH courses
MATH 425, Calculus I
MATH 426, Calculus II
MATH 527, Differential Equations with Linear Algebra
MATH 528, Multidimensional Calculus
MATH 539, Introduction to Statistical Analysis
MATH 545, Introduction to Linear Algebra and Mathematical Proof
MATH 619, Historical Foundations of Mathematics
MATH 624, Analysis for Secondary School Teachers
MATH 657, Geometry
MATH 698, Senior Seminar
MATH 761, Abstract Algebra
MATH 700, Introduction to Mathematics Education
MATH 791, Teaching of Mathematics, 7-12
Other required courses
One approved MATH elective chosen in consultation with your academic adviser.
CS 410, Introduction to Scientific Programming; or
CS 415, Introduction to Computer Science I
EDUC 500, Exploring Teaching
EDUC 700, Educational Structure and Change
EDUC 701, Human Development and Learning: Educational Psychology
EDUC 705, Alternative Perspectives on the Nature of Education
Note: EDUC 751 is a requirement for certification that may be taken as an undergraduate.
Minoring in Mathematics
The Department of Mathematics and Statistics offers three minor
programs: Mathematics, Applied Mathematics, and Statistics. These
programs, which are open to all students enrolled at the University,
require a minimum of five MATH courses as detailed below. Students,
whose major program requires more than two courses required by the
minor program, must substitute additional courses from the list of
elective courses to meet the five-course minimum for the minor.
Mathematics Minor
Required (3): MATH 528, MATH 531 (or 545), and MATH 761 (or 767)
Electives (2): Two courses chosen from among MATH 527*, 656, 657, 658, 761, 762, 764, 767, 776, 783, 784, 788
Applied Mathematics Minor
Required (4): MATH 527, 528, 645 (or 545), and 753
Electives (1): One course chosen from among MATH 539 (or 644), 646, 647, 745, 746, 747, or 754
Statistics Minor
Required (2): MATH 539 (or 644) and MATH 645 (or 545)
Electives (3): Three courses chosen from among MATH 737, 739, 740, 741, 742, 744, 755, 756
