Indiana University of Pennsylvania

2002-2003 Undergraduate Catalog
Indiana, Pennsylvania 15705

 

Department of Mathematics

 

Gary S. Stoudt, Chairperson; Adkins, Alarcon, Anderson, Baker, Balenovich, Bosse, Broughton, Buriok, Burkett, Donley, Dubovsky, Early, Feldman, Frank, Gorman, Kosler, Kuo, Lamberski, Lattanzio, Maier, Mitchell, Morgan, Myers, Peterson, P. Ray, Reber, Sandbothe, Short, Steelman, Stempien, Walker, Zhang; and professors emeriti Angelo, Arms, Davis, Duncan, Gibson, Hartman, Hoyt, Massey, D. McBride, R. McBride, Morrell, Mueller, Oakes, Rettig, E. Smith, W. Smith, Stilwell, Willison, Woodard

 

Website: www.iup.edu/math

 

The Department of Mathematics prepares students for work in industry, graduate school mathematics, and teaching. Degrees offered by the department are the Bachelor of Science degree in Mathematics, the Bachelor of Science degree in Applied Mathematics, and the Bachelor of Science in Education with a major in Mathematics Education. The first two degree programs are offered within the College of Natural Sciences and Mathematics, and the third is in conjunction with the College of Education and Educational Technology. The department also offers a minor in Mathematics and a minor in Applied Statistics.

 

The program for a mathematics major in the College of Natural Sciences and Mathematics is two-phased. A student may pursue a degree in Applied Mathematics or Mathematics. Those completing a degree in Mathematics will be prepared to continue their studies in mathematics in graduate school, though some may enter business, industry, or government service. Those students receiving a degree in Applied Mathematics will be primarily prepared to enter business, industry, or government service in an area where mathematics or computer science is used or to continue their studies in applied mathematics or computer science in graduate school. This student would not be expected to continue graduate studies in pure mathematics.

 

The department shares in a joint degree with the Economics Department. Students with ability and interest in economics discover that a solid background in mathematics is an essential prerequisite for advanced theoretical and applied work in the discipline. Similarly, students with talent and interest in mathematics find economics an excellent field in which to employ their skills and knowledge. The Bachelor of Arts degree in Mathematics/Economics allows students to combine these complementary subjects in a joint degree program administered cooperatively by the departments of Mathematics and Economics. Enrolled students will be assigned an advisor in each department.

 

Those completing the program will have an exceptional background for graduate study in economics and such related fields as business, public policy, or operations research. They also will be ideally prepared to fill a wide variety of technical and quantitative positions in both government and private industry.

 

The program leading to the B.S. in Education with a major in Mathematics Education prepares the student for teaching mathematics in junior or senior high school. Many graduates, however, continue their formal education in mathematics at the graduate level or work in government or industry.

 

Elementary education majors may elect to take a concentration of at least 15 semester hours in mathematics. The program of courses for this concentration in mathematics is as follows: in addition to MATH 151 and 152, select 9 semester hours from the following courses: MATH 317, 420, 456, 457, 458, 459, 471, or 481.

 

Minor in Mathematics

The minor in Mathematics consists of a minimum of 17 semester hours in mathematics. The minor in Mathematics may offer preparation for advanced study in areas such as Economics, Computer Science, Physics, and other natural sciences. Any student who is required to take a year of calculus should consider this minor.

 

Minor in Applied Statistics

The minor in Applied Statistics, consisting of 16 semester hours, may be of interest to students who are required to take a calculus course and a course in probability and statistics. This includes, but is not limited to, students in the Eberly College of Business and Information Technology, Safety Science majors, and Computer Science majors.

 

A cumulative GPA of at least 2.0 in MATH courses is required for a minor in Mathematics or Applied Statistics. The Mathematics Department will not certify a minor for a transfer student unless at least two of the courses counting for the minor have been completed in the IUP Mathematics Department.

 

 

Bachelor of Science—Applied Mathematics

 

Liberal Studies: As outlined in Liberal Studies section

with the following specifications:

Mathematics: (included in major)

Liberal Studies Electives: no courses with MATH prefix

 

50-52

 

 

 

 

Major:
Required Courses:

 

40-41

MATH 123

Calculus I for Physics, Chemistry, and Mathematics       

4sh

 

MATH 124

Calculus II for Physics, Chemistry, and Mathematics       

4sh

 

MATH 171

Introduction to Linear Algebra       

3sh

 

MATH 216

Probability and Statistics for Natural Sci    

4sh

 

MATH 241

Differential Equations     

3sh

 

MATH 271

Introduction to Mathematical Proofs I        

3sh

 

MATH 272

Introduction to Mathematical Proofs II       

3sh

 

MATH 480

Senior Seminar       

1sh

 

 

 

 

 

Controlled Electives:  (1)

Two courses from the following:       

        MATH 371, 421, 422, 423, 424, 427, 476, 477

One of the following two-course sequences:       

        MATH 342/COSC 450 or COSC 451 or
        MATH 451; MATH 363-364; MATH 445-446

A minimum of 3 additional sh from the list of

controlled electives above or the following:

        MATH 353, 425, 447, 465, 481       

 

6sh

 

 6-7sh

 

 

 

3sh

 

 

 

 

 

Other Requirements:  

 

6-12

COSC 110

Problem Solving and Structured  Programming

3sh

 

COSC 250

Introduction to Numerical Methods

3sh

 

Foreign Language Intermediate Level (2)

0-6sh

 

 

 

 

 

Free Electives:

 

19-28

 

 

 

 

Total Degree Requirements:  

 

124

 

 

 

 

(1)   A student may select courses to fulfill requirements for specialized track.

        a.     Actuarial/Statistics: MATH 363, 364, 366, 371, 421, 446, 465

        b.    Math Analyst/Engineering: MATH 342/COSC 450, COSC451, MATH 371, 423, 447, 451

        c.    Operations Research: MATH 371, 421, 445/446, 447

(2)   Intermediate-level Foreign Language may be included in Liberal Studies electives.

 

 

 

 

Bachelor of Science—Mathematics

 

Liberal Studies: As outlined in Liberal Studies section

with the following specifications:

Mathematics: (included in major)

Liberal Studies Electives: no courses with MATH prefix

 

50-52

 

 

 

 

Major:
Required Courses:

 

40-41

MATH 123

Calculus I for Physics, Chemistry, and Mathematics       

4sh

 

MATH 124

Calculus II for Physics, Chemistry, and Mathematics       

4sh

 

MATH 171

Introduction to Linear Algebra       

3sh

 

MATH 216

Probability and Statistics for Natural Sci    

4sh

 

MATH 241

Differential Equations     

3sh

 

MATH 271

Introduction to Mathematical Proofs I        

3sh

 

MATH 272

Introduction to Mathematical Proofs II       

3sh

 

MATH 480

Senior Seminar       

1sh

 

 

 

 

 

Controlled Electives: 

 

 

Four courses from the following: MATH 371, 421, 422, 423, 424, 427, 476, 477

12sh

 

A minimum of 3 additional sh from the list of controlled electives above or the

     following: MATH 342, 350, 353, 355, 363, 364, 425, 445, 446, 447, 465, 481

3-4sh

 

 

 

 

 

Other Requirements:  

Computer Science:

 

3-9

COSC 110

Problem Solving and Structured Programming

3sh

 

Foreign Language Intermediate Level (1)

0-6sh

 

 

 

 

 

Free Electives:

 

22-31

 

 

 

 

Total Degree Requirements:  

 

124

 

 

 

 

(1)   Intermediate-level Foreign Language may be included in Liberal Studies electives.

 

 

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Bachelor of Arts—Economics/Mathematics

 

Liberal Studies: As outlined in Liberal Studies section

with the following specifications:

Social Science: ECON 121 (included in major)

Mathematics: MATH 123 (included in major)

Electives: Intermediate foreign language, no course with ECON or MATH prefix.

 

47-49

 

 

 

 

Major:
Core:

 

53-55

ECON 121

Principles of Economics I  

3sh

 

ECON 122

Principles of Economics II

3sh

 

ECON 421

Macroeconomics Analysis   

3sh

 

ECON 422

Microeconomics Analysis   

3sh

 

MATH 123

Calculus I for Physics, Chemistry, and Mathematics       

4sh

 

MATH 124

Calculus II for Physics, Chemistry, and Mathematics       

4sh

 

MATH 171

Introduction to Linear Algebra       

3sh

 

MATH 216 or
ECON 355

Probability and Statistics for Natural Sci or
Statistics for Economics    

3-4sh

 

Economics Electives: 

12sh

 

Students are especially encouraged to take ECON 334 and 356, but any course except ECON 101 may be used. ECON 493 may be counted only with the approval of the program coordinator and only up to 6sh.

 

 

Mathematics Electives:     

At least one of the following two-semester sequences:

        MATH 241 and 371, MATH 363 and 364, MATH 445and MATH 446

Three additional courses either from the above or from the following: 

       MATH 271, 272, 342, 417 or 418, 421, 422, 423, 425, 427, 451, 465, 476, 477

15-16sh

 

 

 

 

 

Other Requirements:  

 

0

 

 

 

 

Free Electives:

 

20-24

 

 

 

 

Total Degree Requirements:  

 

124

 

 

 

 

Bachelor of Science in Education—Mathematics Education (*)

 

Liberal Studies: As outlined in Liberal Studies section

with the following specifications:

Mathematics: (included in major)

Social Science: PSYC 101

Liberal Studies Electives: no courses with MATH prefix

 

50-52

 

 

 

 

College:  

Professional Education Sequence:

 

29

EDEX 301

Education of Students with Disabilities in Inclusive Secondary Settings

2sh

 

EDSP 102

Educational Psychology  

3sh

 

EDSP 477

Assessment of Student Learning: Design and Interpretation of Educational Measures      

3sh

 

EDUC 242

Pre-student Teaching Clinical Experience I      

1sh

 

EDUC 342

Pre-student Teaching Clinical Experience II    

1sh

 

EDUC 441

Student Teaching       

12sh

 

EDUC 442

School Law       

1sh

 

EDUC 456

Teaching Math in the Secondary Schools       

3sh

 

FDED 102

American Ed in Theory and Practice

3sh

 

 

 

 

 

Major:
Required Courses:

 

38

MATH 117

Principles of Math

3sh

 

MATH 123

Calculus I for Physics, Chemistry, and Mathematics

4sh

 

MATH 124

Calculus II for Physics, Chemistry, and Mathematics

4sh

 

MATH 171

Introduction to Linear Algebra       

3sh

 

MATH 216

Probability and Statistics for Natural Sci    

4sh

 

MATH 271

Introduction to Mathematical Proofs I

3sh

 

MATH 272

Introduction to Mathematical Proofs II       

3sh

 

MATH 353

Theory of Numbers

3sh

 

MATH 355

Foundations of Geometry I       

3sh

 

MATH 350

History of Mathematics

3sh

 

MATH 460

Technology in Mathematics Instruction    

3sh

 

Two of the following:

MATH 452/453/454/455 Math Seminar

2sh

 

 

 

 

 

Other Requirements:  

 

3

COSC 205

Programming Languages for Secondary Education

3sh

 

 

 

 

 

Free Electives:

 

2-4

 

 

 

 

Total Degree Requirements:  

 

 

 

 

 

124

 

(*)   See requirements leading to teacher certification, titled “Admission to Teacher Education,”
        in the College of Education and Educational Technology section of this catalog.

 

 

Minor–Applied Statistics

 

16

 

 

 

At least 16sh selected as follows:

a)     Introductory calculus course: MATH 115 or 121 or 123

b)     Introductory statistics course: MATH 214 or 216 or 217

c)     MATH 417

d)     MATH 418

 

The remaining hours may be chosen from the following:

a)     A second calculus course: MATH 122 or 124

b)     MATH 171

c)     QBUS 215

d)     Any course for mathematics majors approved by the Applied Statistics Advisor.

 

 

 

 

 

 

Minor–Mathematics   17
     
Required Courses:
MATH 121 and 122 or MATH 123 and 124
8sh  

Controlled Electives:

Other courses for math majors, MATH 219 may be included

9sh (1)

 

 
     
(1)   The following courses are excluded: MATH 100, 101, 105, 110, 115, 117, 214, 217, 417, 418, and
       courses for the Elementary Education concentration in Mathematics.

 

 

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