Undergraduate Course Catalog 2010-2011
College of Engineering and Physical Sciences
» http://www.ceps.unh.edu
Mathematics and Statistics (MATH)
» Click to view course offerings
Professor: Liming Ge, Karen J. Graham, Eric L. Grinberg, Donald W. Hadwin, Rita A. Hibschweiler, A. Robb Jacoby, Ernst Linder, Dmitri A. Nikshych, Samuel D. Shore, Kevin M. Short, Marianna A. Shubov
Associate Professor: Maria Basterra, David V. Feldman, Edward K. Hinson, Linyuan Li, Sharon M. McCrone, Junhao Shen
Assistant Professor: Timothy P. Fukawa-Connelly, John F. Gibson, Mark Lyon
Instructor: Philip J. Ramsey
Lecturer: Adam Boucher, Samuel L. Cook, Mehmet Orhon, Neil Portnoy, Yitang Zhang
The Department of Mathematics and 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 usually can 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 scientific programming course (CS 410). A sophomore typically takes follow-up calculus courses in differential equations (MATH 527) and multidimensional calculus (MATH 528), an introductory statistics course (MATH 539), and a course in mathematical proof (MATH 531). The Senior Capstone Experience is fulfilled by a designated course in each of the degree programs; specific details are given in each program's course listing below.
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
1. University Academic Requirements
2. 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 2.0 in these courses.
Note that some Discovery Program requirements will be satisfied by required courses for the major program. In particular MATH 425 satisfies the Discovery Quantitative Reasoning requirement; PHYS 406 (required for the Math Education Elementary Option) and 407 (required for the Mathematics BS) each satisfy the Discovery Physical Sciences requirement.
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
Two approved MATH courses chosen in consultation with the academic adviser, one of which must be MATH 797**, Senior Seminar, or MATH 799, Senior Thesis**
*These requirements can be satisfied by MATH 525-526, Linearity I-II.
** Each of these courses satisfies the Capstone Experience requirement for this program.
Other required courses
CS 410, Introduction to Scientific Programming
Foreign language requirement
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
Two approved MATH courses chosen in consultation with the academic adviser, one of which must be MATH 797**, Senior Seminar, or MATH 799**, Senior Thesis
*These requirements can be satisfied by MATH 525-526, Linearity I-II.
** Each of these courses satisfies the Capstone Experience requirement for this program.
Other required courses
CS 410, Introduction to Scientific Programming
PHYS 407-408, General Physics I and II
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 at least 10 mathematics courses along with at least six courses in the discipline of the option. Specific requirements for each option are given in the following listing.
Computer Science Option
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
MATH 532, Discrete Mathematics
MATH 539, Introduction to Statistical Analysis
MATH 645,* Linear Algebra for Applications
MATH 753, Introduction to Numerical Methods I
Two approved MATH courses chosen in consultation with the academic adviser, one of which must be either MATH 797**, Senior Seminar, or MATH 798**, Senior Project, or MATH 799**, Senior Thesis
*These requirements can be satisfied by MATH 525-526, Linearity I-II.
** Each of these courses satisfies the Capstone Experience requirement for this program.
Other required CS courses
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 658, Analysis of Algorithms
CS 758, Algorithms
One approved CS elective chosen in consultation with the academic adviser
Economics Option
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
MATH 539, Introduction to Statistical Analysis
MATH 645,* Linear Algebra for Applications
MATH 739, Applied Regression Analysis
MATH 753, Introduction to Numerical Methods I
MATH 755, Probability and Stochastic Processes with Applications
Two approved MATH courses at the 700-level chosen in consultation with the academic adviser, of which one must be either MATH 797**, Senior Seminar, or MATH 798**, Senior Project, or MATH 799**, Senior Thesis
*These requirements can be satisfied by MATH 525-526, Linearity I-II.
** Each of these courses satisfies the Capstone Experience requirement for this program.
Other required courses
CS 410, Introduction to Scientific Programming
ECON 401, Principles of Economics (Macro)
ECON 402, Principles of Economics (Micro)
ECON 605, Intermediate Microeconomic Analysis
ECON 611, Intermediate Macroeconomic Analysis
ECON 726, Introduction to Econometrics
One approved ECON or DS course chosen in consultation with the academic adviser
Electrical Science Option
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
MATH 539, Introduction to Statistical Analysis
MATH 645,* Linear Algebra for Applications
MATH 646, Introduction to Partial Differential Equations
MATH 647, Complex Analysis for Applications
MATH 753, Introduction to Numerical Methods I
One course chosen in consultation with the academic adviser from MATH 797**, Senior Seminar, MATH 798**, Senior Project, and MATH 799**, Senior Thesis
*These requirements can be satisfied by MATH 525-526, Linearity I-II.
** Each of these courses satisfies the Capstone Experience requirement for this program.
Other required courses
CS 410, Introduction to Scientific Programming
ECE 541, Electrical Circuits
ECE 548, Electronics Design I
ECE 603, Electromagnetic Fields and Waves I
ECE 633, Signals and Systems I
ECE 634, Signals and Systems II
ECE 757, Fundamentals of Communication Systems
Physics Option
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
MATH 539, Introduction to Statistical Analysis
MATH 645,* Linear Algebra for Applications
MATH 646, Introduction to Partial Differential Equations
MATH 647, Complex Analysis for Applications
MATH 753, Introduction to Numerical Methods I
Two approved MATH courses at the 700-level chosen in consultation with the academic adviser, one of which must be either MATH 797**, Senior Seminar, MATH 798**, Senior Project, or MATH 799**, Senior Thesis
*These requirements can be satisfied by MATH 525-526, Linearity I-II.
** Each of these courses satisfies the Capstone Experience requirement for this program.
Other required courses
CS 410, Introduction to Scientific Programming
PHYS 407, General Physics I
PHYS 408, General Physics II
PHYS 505-506, General Physics III
PHYS 615, Classical Mechanics and Mathematical Physics I
PHYS 616, Classical Mechanics and Mathematical Physics II
PHYS 701, Introduction to Quantum Mechanics I
PHYS 703, Electricity and Magnetism I
Statistics Option
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
MATH 539, Introduction to Statistical Analysis
MATH 645,* Linear Algebra for Applications
MATH 739, Applied Regression Analysis
MATH 755, Probability and Stochastic Processes with Applications
MATH 756, Principles of Statistical Inference
*These requirements can be satisfied by MATH 525-526, Linearity I-II.
Other required courses
CS 410, Introduction to Scientific Programming
Three MATH courses chosen in consultation with the academic adviser from the following:
MATH 736, Statistical Methods for Research:
MTH 737, Statistical Methods for Quality Improvement
MATH 740, Design of Experiments I
MATH 741, Survival Analysis
MATH 743, Time Series Analysis
MATH 744, Design of Experiments II
Three approved MATH electives, at least two of which are at the 700-level, chosen in consultation with the academic adviser, one of which must be either MATH 797**, Senior Seminar, or MATH 798**, Senior Project, or MATH 799**, Senior Thesis
** Each of these courses satisfies the Capstone Experience requirement for this program.
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 education, College of Liberal Arts.
Elementary School Option
Required MATH courses
MATH 425, Calculus I
MATH 426, Calculus II
MATH 531, Mathematical Proof
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
MATH 797**, Senior Seminar
** This course satisfies the Capstone Experience requirement in this program.
Other required courses
CS 410, Introduction to Scientific Programming
PHYS 406, Introduction to Modern Astronomy, 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 531, Mathematical Proof
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 70878Teaching of Mathematics, 5-8
MATH 797**, Senior Seminar
One approved MATH course chosen in consultation with the academic adviser
** This course satisfies the Capstone Experience requirement in this program.
Other required courses
CS 410, Introduction to Scientific Programming
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 751A or EDUC 751B 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 531, Mathematical Proof
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 700, Introduction to Mathematics Education
MATH 709, Teaching of Mathematics, 7-12
MATH 761, Abstract Algebra
MATH 797**, Senior Seminar
** This course satisfies the Capstone Experience requirement in this program.
Other required courses
CS 410, Introduction to Scientific Programming
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 751A or EDUC 751B 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 optional courses to meet the five-course minimum.
Mathematics Minor
Required (3): MATH 528*, MATH 531 ( and either MATH 761 or MATH 767)
Options (2): Two courses chosen from: MATH 527*, 656, 657, 658, 761, 762, 764, 767, 776, 783, 784, 788
*These requirements can be satisfied by MATH 525-526, Linearity I-II.
Applied Mathematics Minor
Required (4): MATH 527*, 528*, 645* (or 545), and 753
Options (1): One course chosen from: MATH 539, 644, 646, 647, 745, 746, 747, or 754
*These requirements can be satisfied by MATH 525-526, Linearity I-II.
Statistics Minor
Required (2): MATH 539 (or 644) and MATH 645 (or 545)
Options (3): Three courses chosen from: MATH 737, 740, 741, 742, 744, 755, 756
