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Department of Mathematics

Dr. Diane M. Spresser, Department Head

See page 5 for information regarding curricular changes.


Professors

J. Hanson, Klippert, Lyons, G. Peterson, Sanders, Spresser

Associate Professors

Babarsky, Chiang, Domangue, Droms, Fisher, LePera, Marafino, Marrah, Parker, Sochacki, Ziegenfus

Assistant Professors

Hulbert, Kohn, Liu, Sun, T. Taylor, Zmijewski

The Department of Mathematics offers the Bachelor of Arts and Bachelor of Science degrees with a major in mathematics. Minors are offered in mathematics and statistics.

The department offers programs of study which lead to careers as mathematicians and statisticians in industry and government, and mathematics teachers; and to further study in graduate school.

The department also recognizes the importance of providing courses for non-specialists who need to make effective use of mathematics or statistics in their chosen careers. The university is an institutional/ educational member of the American Mathematical Society, the American Statistical Association, the Mathematical Association of America and the Society for Industrial and Applied Mathematics.

The department offers a major in mathematics. Minors are offered in mathematics and statistics. Within the mathematics major, concentrations are available in computational and applied mathematics, pure mathematics and statistics. There is, in addition, a program for a major in mathematics that qualifies a student for initial teaching licensure.

Students are strongly encouraged to participate in the numerous undergraduate research and individual and small group projects available in the department. Opportunities exist through the Center for Mathematical Modeling and the Office of Statistical Services, as well as through honors theses and independent studies with individual faculty mentors.

Majors in the department are expected to participate in assessment activities. Assessment information is used to assist faculty in modifying curricula.

B.A./B.S. Degree in Mathematics

The first two years of introductory mathematics focus on differential and integral calculus. The studies of the last two years are devoted primarily to basic material in the fields of analysis, algebra, geometry, computing and statistics. The two parts of the program are distinguished by methods of presentation, as well as by content. The first two years lead gradually to appreciation of definitions and proofs, and to precision in mathematical language. The latter two years anchor basic mathematical concepts, results and methods, and increase knowledge of applications. Concentrations are available and encouraged in computational and applied mathematics, pure mathematics and statistics.

Initial Secondary, Middle School or Early Childhood Teaching License

Students who wish to teach mathematics at the secondary, middle school or early childhood level complete a major in mathematics, together with courses in education and related areas. It is necessary to be admitted to the teacher education program prior to enrolling in professional education courses. Students seeking licensure are encouraged to consult regularly with the appropriate department in the College of Education and Psychology.

Major in Mathematics/ Non-Teaching (B.A. or B.S. Degree)

Minimum requirements for a B.A. or B.S. degree with a major in mathematics are 40 credit hours, as follows:

                                                  Credit
                                                   Hours
Liberal studies courses - MATH 235, Analytic          41
  Geometry and Calculus I, must be included 

                                                  Credit
Core Requirements                                  Hours
MATH 236-237. Analytic Geometry and                    8
Calculus II-III
Choose one of the following:                           4
  MATH 248. Computer Methods in Engineering 
    and Science
  CS 238. Digital Computer Programming
MATH 300. Linear Algebra                               3
Choose one of the following:                           3
  MATH 310. Elementary Theory of Numbers
  MATH 315. The Real Number System
  MATH 335. Introduction to Topology  
MATH 318. Introduction to Probability and Statistics   3
MATH 336. Elementary Differential Equations            3
MATH 410. Advanced Calculus                            3
MATH 430. Abstract Algebra I                           3
Choose one of the following:                           3
  MATH 411. Advanced Calculus
  MATH 431. Abstract Algebra II
                                                    ____
                                                      33

                                                  Credit
Other Courses Required for Major                   Hours
Concentration (computational and applied            3-12
  mathematics, pure mathematics or statistics) or 
  mathematics electives numbered at or above 
  the 300 level
Electives                                          34-43
                                                    ____
                                                      46
Although students are not required to do so, they are encouraged to select one of the following concentrations which introduce areas where mathematics is applied or in which postgraduate study may be pursued. A minimum of 12 credit hours must be completed in a particular concentration. The mathematics major who selects a concentration in computational and applied mathematics is strongly encouraged to complete PHYS 240, Principles of Mechanics, and PHYS 250, Principles of Electricity and Magnetism.

Computational and
Applied Mathematics


                                                  Credit
                                                   Hours
Choose four from the following:                       12
MATH 337. Applied Calculus
MATH 341. Mathematical Modeling II
MATH 360. Complex Variables with Applications
MATH 387. Fourier Analysis and Partial 
  Differential Equations
MATH 448. Numerical Mathematics and 
  Computer Applications 
MATH 449. Numerical Mathematics and 
  Computer Applications
MATH 450. Theory of Ordinary Differential 
  Equations
MATH 483. Selected Topics in Applied 
  Mathematics
                                                    ____
                                                      12

Pure Mathematics


                                                  Credit
                                                   Hours
MATH 335. Introduction to Topology                     3
MATH 426. Probability and Mathematical                 3
  Statistics I
Choose one of the following:                           3
  MATH 337. Applied Calculus
  MATH 420. Foundations of Euclidean Geometry
  MATH 475. Fundamental Concepts of Geometry
Complete the year sequences in both of the following:  3
  MATH 410-411. Advanced Calculus
  MATH 430-431. Abstract Algebra I-II
                                                    ____
                                                      12

Statistics


                                                  Credit
                                                   Hours
Choose one of the following:                           3
  MATH 321. Analysis of Variance and 
    Experimental Design
  MATH 322. Applied Linear Regression
MATH 426-427. Probability and Mathematical             6
    Statistics I-II
One additional course from the following:              3
  MATH 321. Analysis of Variance and 
    Experimental Design
  MATH 322. Applied Linear Regression
  MATH 323. Exploratory Data Analysis
  MATH 324. Applied Nonparametric Statistics
  MATH 325. Survey Sampling Methods
  MATH 326. Statistical Quality Control
  MATH 421. Applied Multivariate Statistical 
    Analysis
  MATH 423. Stochastic Processes
  MATH 424. Statistical Decision Theory
  MATH 485. Selected Topics in Statistics
                                                    ____
                                                      12
Students seeking a concentration should plan carefully a program of study in conference with their adviser to make maximum use of electives permitted by the major.

Major in Mathematics/ Teaching (B.S. Degree)

Requirements for a B.S. degree with a major in mathematics, qualifying for secondary, middle school or early childhood teaching licensure include a minimum of 40 credit hours in mathematics, as follows:

                                                  Credit
                                                   Hours
Liberal studies courses - MATH 235, Analytic          41
  Geometry and Calculus I, must be included

                                                  Credit
Core Requirements                                  Hours
MATH 236-237. Analytic Geometry and                    8
  Calculus II-III
Choose one of the following:                           4
  MATH 248. Computer Methods in Engineering 
    and Science
  CS 238. Digital Computer Programming
MATH 300. Linear Algebra                               3
Choose one of the following:                           3
  MATH 310. Elementary Theory of Numbers
  MATH 315. The Real Number System
MATH 318. Introduction to Probability and              3
  Statistics
MATH 336. Elementary Differential Equations            3
Choose one of the following:                           3
  MATH 420. Foundations of Euclidean 
    Geometry
  MATH 475. Fundamental Concepts of 
    Geometry
MATH 430. Abstract Algebra I                           3
                                                    ____
                                                      30

                                                  Credit
Other Courses Required for the Major               Hours
Professional education requirements                33-46
  (choose one below):
  Secondary licensure (33 credits)
  Middle school licensure (40 credits)
  Early childhood licensure (46 credits)
Mathematics electives                                  6
  (at or above the 300 level)
Electives                                           0-10
                                                    ____
                                                   49-52
Students who plan to teach are strongly encouraged to complete one or more of the following electives:
MATH 410. Advanced Calculus
MATH 415. History of Mathematics

Initial Secondary Teaching License

Students desiring secondary teaching licensure must complete the following professional courses:

                                                  Credit
                                                   Hours
EDUC 360. Foundations of American Education            3
  (junior year)
EDUC 370. Instructional Technology (junior year)       3
EDUC 410. Multicultural Education (senior year)        1
EDUC 416. School Discipline and Classroom              1
  Management (senior year)
HTH 370. The School Health Program                     2
  (any appropriate time)
PSYC 270. Psychology for Teachers of the               3
  Pre-adolescent and Adolescent Child [1] 
  (sophomore year)
READ 414. Reading and Writing in the                   1
  Content Areas (senior year)
SEED 371K. Secondary Mathematics Methods               3
  (normally in first semester of senior year)
SEED 381. Field Experience (Practicum) in              3
  Secondary Education (normally in first semester 
  of senior year) 
SEED 480. Student Teaching (senior year)              12
SPED 402. Teaching Mildly Disabled Students            1
  in Regular Classes (senior year)
________
Notes:
[1]
PSYC 160 is a prerequisite for PSYC 270.
Students desiring middle or early childhood licensure should consult the appropriate program in the Department of Early and Middle Education (pages 119-122 of this catalog).

It is necessary to be admitted to the teacher education program prior to enrolling in professional education courses. See pages 111-113 of this catalog for admission and retention procedures in the teacher education programs. All students seeking teaching licensure should consult regularly with the appropriate department in the College of Education and Psychology.

Credit By Examination

The Department of Mathematics offers credit by examination for some of the courses taught in the department. Students who wish permission to take an examination must apply to the department head. Upon application students will receive details regarding approval to take the examination.

Minor in Mathematics

A minor in mathematics will require a minimum of 24 credit hours, distributed as follows:

                                                  Credit
                                                   Hours
MATH 235-236. Analytic Geometry and                    8
  Calculus I-II 
Mathematics courses numbered 237 or above             16
                                                    ____
                                                      24
Students may use three credit hours of selections below MATH 235 toward the requirements for the minor in lieu of mathematics courses numbered 237 or above. CS 238, Digital Computer Programming; or MATH 248, Computer Methods in Engineering and Science, but not both, may be credited toward the requirements for the minor. Each student must obtain prior approval of all courses to be counted in the minor from the mathematics minor adviser, Dr. Peter D. Kohn, or from the head of the department.

Minor in Statistics

The minor in statistics is open to any student. Mathematics majors who seek a minor in statistics will be expected to fulfill different requirements than those for students with other majors. Each student must obtain prior approval of the courses to be counted in the minor from the statistics minor adviser, Dr. Rickie J. Domangue, or from the head of the department.

A minor in statistics requires a minimum of 18 credit hours, distributed as follows:

Mathematics Majors

The minor program for a mathematics major shall include MATH 318 together with at least 15 credit hours not credited toward the student's mathematics major.

                                                  Credit
                                                   Hours
MATH 318. Introduction to Probability and Statistics   3
Choose one of the following:                           3
  MATH 321. Analysis of Variance and 
    Experimental Design
  MATH 322. Applied Linear Regression
Choose one of the following:                           3
  MATH 423. Stochastic Processes
  MATH 424. Statistical Decision Theory
MATH 426-427. Probability and Mathematical             6
  Statistics I-II
One additional course from the following list          3
  of elective courses in statistics
                                                    ____
                                                      18

All Other Majors


                                                  Credit
                                                   Hours
Choose one of the following                            3
  MATH 220. Elementary Statistics
  MATH 318. Introduction to Probability and 
    Statistics or equivalent
MATH 322. Applied Linear Regression                    3
Four additional courses chosen from the               12
  following list of elective courses in statistics
                                                    ____
                                                      18

Elective Courses in Statistics


                                                  Credit
                                                   Hours
MATH 321. Analysis of Variance and Experimental        3
  Design
MATH 322. Applied Linear Regression                    3
MATH 323. Exploratory Data Analysis                    3
MATH 324. Applied Nonparametric Statistics             3
MATH 325. Survey Sampling Methods                      3
MATH 326. Statistical Quality Control                  3
MATH 421. Applied Multivariate Statistical Analysis    3
MATH 423. Stochastic Processes                         3
MATH 424. Statistical Decision Theory                  3
MATH 426. Probability and Mathematical                 3
  Statistics I
MATH 427. Probability and Mathematical                 3
  Statistics II
MATH 485. Selected Topics in Statistics                3

Typical Programs
Mathematics Major - Non-Teaching
(B.A. or B.S. Degree)


                                                  Credit
Freshman Year                                      Hours
ENG 101-102. Reading and Composition                 3-6
Choose one of the following:                           4
  CS 238. Digital Computer Programming
  MATH 248. Computer Methods in Engineering 
    and Science
MATH 235-236. Analytic Geometry and                    8
  Calculus I-II
Liberal studies courses                            12-15
                                                    ____
                                                      30

                                                  Credit
Sophomore Year                                     Hours
MATH 237. Analytic Geometry and Calculus III           4
MATH 300. Linear Algebra                               3
Choose one of the following                            3
  MATH 310. Elementary Theory of Numbers
  MATH 315. The Real Number System
  MATH 335. Introduction to Topology
MATH 336. Elementary Differential Equations            3
Liberal studies courses and/or electives              17
                                                    ____
                                                      30

                                                  Credit
Junior Year                                        Hours
MATH 318. Introduction to Probability and Statistics   3
Choose one of the following:                           6
  MATH 410-411. Advanced Calculus
  MATH 430-431. Abstract Algebra I-II
Liberal studies courses and/or electives           15-18
Mathematics concentration courses or mathe-          3-6
  matics electives at or above the 300 level              
                                                    ____
                                                      30

                                                  Credit
Senior Year                                        Hours
Choose one of the following:                           3
  MATH 430. Abstract Algebra I
  MATH 410. Advanced Calculus
Mathematics concentration courses or                 6-9
  mathematics electives 
  at or above the 300 level
Electives                                          18-21
                                                    ____
                                                      30

Mathematics Major - Teaching
(B.S. Degree)


                                                  Credit
Freshman Year                                      Hours
ENG 101-102. Reading and Composition                 3-6
Choose one of the following:                           4
  CS 238. Digital Computer Programming
  MATH 248. Computer Methods in Engineering 
    and Science
MATH 235-236. Analytic Geometry and                    8
  Calculus I-II
Liberal studies courses                            12-15
                                                    ____
                                                      30

                                                  Credit
Sophomore Year                                     Hours
MATH 237. Analytic Geometry and Calculus III           4
MATH 300. Linear Algebra                               3
MATH 336. Elementary Differential Equations            3
Professional education requirements                 6-12
Liberal studies courses                             8-14
                                                    ____
                                                      30

                                                  Credit
Junior Year                                        Hours
Choose one of the following:                           3
  MATH 310. Elementary Theory of Numbers
  MATH 315. The Real Number System
Choose one or two from the following:                3-6
  MATH 420. Foundations of Euclidean 
    Geometry
  MATH 475. Fundamental Concepts of 
    Geometry
  Mathematics elective(s) at or above the 
    300 level
MATH 430. Abstract Algebra I                           3
Professional education requirements                 6-24
Liberal studies courses and/or electives            0-12
                                                    ____
                                                   30-33

                                                  Credit
Senior Year                                        Hours
MATH 318. Introduction to Probability and              3
  Statistics
Choose one or two from the following:                3-6
  MATH 420. Foundations of Euclidean 
    Geometry
  MATH 475. Fundamental Concepts of 
    Geometry
  Mathematics elective(s) at or above the 
    300 level
Professional education requirements and/or         21-24
  liberal studies courses and/or electives                
                                                    ____
                                                      30


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Last reviewed: Sept. 10, 1994
Information Publisher: Academic Services