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Academic Colleges:
College of Sciences and Humanities


Department Programs:
Interdepartmental

 

A-C
Anthropology
Biology
Chemistry
Computer Science
Criminal Justice and Criminology

E-H
English
Geography
Geology
History
M-N
Mathematical Sciences
Modern Languages and Classics
Natural Resources and Environmental
Management

P-S
Philosophy and Religious Studies
Physics and Astronomy
Physiology and Health Science
Political Science
Psychological Science
Social Work
Sociology
Speech Pathology and Audiology

 

 
 
 
 
 
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College of Sciences and Humaniites
Department of Mathematical Sciences
Programs:
Majors: Actuarial Science; Mathematical Sciences (options: Mathematics; Statistics; Financial mathematics; Applied mathematics-physics)
Minors: Computational Mathematics; Foundations of Business for Actuarial Science and Mathematics; Mathematics;
Teaching Major: Mathematics;
License: Middle School/Junior High Mathematics License
Courses:
MATHS: Mathematical Sciences

By focusing on strong analytical and quantitative skills, the mathematical sciences programs prepare students for professional positions in a variety of areas.  The department offers majors in actuarial science, mathematics teaching, and mathematical sciences.  The department’s minors in mathematics and computational mathematics are open to non-departmental majors.  In conjunction with the Department of Economics, the department offers a major in mathematical economics.

For information on the major in mathematical economics, see Interdepartmental Programs.

The major in actuarial science provides students with the mathematics and business education necessary to enter the actuarial profession and prepares students for the professional actuarial exams.  Actuaries apply the theory of probability and statistics along with the principles of finance to analyze and solve problems in insurance, pension plans, social security issues, and related fields.

The mathematics teaching major satisfies state licensure requirements for students preparing to teach mathematics in junior high/middle school and high school. Specializations for this major are middle school and secondary school.  Elementary education majors may choose mathematics as their area of concentration. Elementary education majors may also earn additional licensure to teach mathematics in junior high/middle school.

The mathematical sciences major offers students a variety of choices, with options for specialization in five areas:  mathematics, statistics, financial mathematics, applied mathematics-physics, and computational mathematics.  These programs prepare students for professional positions in business, industry, and government, as well as graduate work in mathematics or related fields, including engineering, law, or medicine.    

Unless otherwise noted, all students enrolling in courses in the Department of Mathematical Sciences are expected to have completed at least three years of college preparatory mathematics in high school, including two years of algebra and one year of geometry.  To begin all programs (except the concentration in mathematics), it is expected that students will have completed high school mathematics courses equivalent to the prerequisite for MATHS 165.

For majors or minors in the Department of Mathematical Sciences, a grade of C- or better must be earned in each course serving as a prerequisite for other courses applied to meet program requirements.  For graduation, a grade-point average of at least 2.5 is required in a minor or major program.

Departmental majors who are students in the Honors College and have completed two Honors College colloquia may substitute HONRS 499 for MATHS 498 upon acceptance by the department of an extended abstract on a topic that is significantly related to mathematics.

All majors will be required to take a comprehensive exam designated by the department.

Programs

Students will be guided by the outline of baccalaureate Degrees, the University Core Curriculum, and the concentration areas listed below.

MAJOR IN ACTUARIAL SCIENCE, 59-60 hours
PREFIX NO SHORT TITLE CR HRS
MATHS 159 Mth Software 3
165 Calculus 1 4
166 Calculus 2 4
215 Discrete Sys 4
217 Lin Algebra 4
  251 Intr Mth Fin 2
267 Calculus 3 4
320 Probability 4
321 Math Stat 4
351 Math Finance 4
452 Life Cont 1 4
457 Act Model 1 4
498 Senior Sem 2
RMI 270 Prin R M I 3
371 Life/Health  3
6-7 hours from  
CS 120 Comp Sci (4)  
MATHS 355 Top Act Sci (1-6)
362 Numer Anls 1 (3)
374 Dif Equation (3)
428 Reg Time Ser (3)
453 Life Cont 2 (4)
454 Math Invest (4)
458 Act Model 2 (3)
465 Top Comp Math (1-6)
ECON 424 Econometrics (3)
or as approved 6-7
______
59-60 hrs
Students may earn up to 6 credits for MATHS 355, but only 4 credits will apply toward the actuarial science major. The following additional courses are strongly recommended, as they satisfy the "Validation by Educational Experience" requirements of the actuarial societies: ACC 201, ECON 201, ECON 202, MATHS 428 or ECON 424, FIN 300 and one from MATHS 454; FIN 310 or MATHS 655. Other electives from the graduate actuarial science courses, business and economics are encouraged. Students are encouraged to take CS 120 and PHYCS 120. PHYCS 120 satisfies the physical science requirement in the University Core Curriculum. This program leads to a bachelor of science degree only.

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MAJOR IN MATHEMATICAL SCIENCES,
49-64 hours
PREFIX NO SHORT TITLE CR HRS
Core requirements, 28 hours
MATHS 159 Mth Software 3
  165 Calculus 1 4
166 Calculus 2 4
215 Discrete Sys 4
217 Lin Algebra 4
267 Calculus 3 4
374 Dif Equation 3
498 Senior Sem 2
Complete one option  
Option 1: Mathematics, 21-24 hours  
MATHS 311 Alg Struct 3
371 Int Anls 3
221 Pbty Stats (3)
or
320 Probability (4) 3-4
6-7 hours from  
MATHS 321 Math Stat (4)
362 Numer Anls 1 (3)
  377 Complex Anl (3)  
411 Abstr Alg 1 (3)
471 Real Anls 1 (3)
473 Bdry Val Pbm (3)
475 P D E (3) 6-7
6-7 hours from  
MATHS 251 Intr Mth Fin (2)  
  321 Math Stat (4)
335 Math Models (3)
345 Survey Geom (4)
362  Numer Anls 1 (3)
363 Numer Anls 2 (3)
377 Complex Anl (3)
411 Abstr Alg 1 (3)
412 Abstr Alg 2 (3)
415 Mth Code Com (3)
416 Thry Numbers (3)
441 Geom Topol (3)
445 Diff Geom (3)
456 Intro Op Res (3)
  464 Num Mthd D E (3)  
  465 Top Cmp Math (1-6)  
  471 Real Anls 1 (3)  
472 Real Anls 2 (3)
473 Bdry Val Pbm (3)
475 P D E (3)
497 Stu-Fac Col (1-6)
or as approved 6-7
______
49-52 hrs
Students are encouraged to take CS 120 and PHYCS 120. Option 1 students take PHYCS 120 to satisfy the physical science requirement in the University Core Curriculum.  
Option 2: Statistics, 23 hours  
MATHS 311 Alg Struct 3
320 Probability 4
321 Math Stat 4
422 Sampling 3
428 Reg Time Ser 3
429 Exp Designs 3
456 Intro Op Res 3
______
51 hrs
Students are encouraged to take CS 120 and PHYCS 120. PHYCS 120 satisfies the physical science requirement in the University Core Curriculum.  
Option 3: Financial mathematics,
35-36 hours
 
MATHS 251 Intr Mth Fin 2
  320 Probability 4
321 Math Stat 4
362 Numer Anls 1 3
CS 120 Comp Sci 1 4
ACC 201 Prin Acct 1 3
ECON 201 Elem Micro 3
202 Elem Macro 3
FIN 300 Bus Fin 1 3
3 hours from  
MATHS 363 Numer Anls 2 (3)  
  464 Num Mthd D E (3)  
  465 Top Cmp Math (1-6) 3
3-4 hours from  
MATHS 351 Math Finance (4)  
  363 Numer Anls 2 (3)  
  368 Unpd Intship (1-8)  
  369 Paid Intship (1-8)  
  371 Int Anls (3)  
  422 Sampling (3)  
  428 Reg Time Ser (3)  
  456 Intro Op Res (3)  
  464 Num Mthd D E (3)  
  465 Top Cmp Math (1-6)  
  471 Real Anls 1 (3)  
  473 Bdry Val Pbm (3)  
  475 P D E (3)  
ECON 279 Prob Em Nats (3)  
  301 Intrmd Micro (3)  
  302 Intrmd Macro (3)  
  441 Monetary Pol (3)  
FIN 301 Prin Fin 2 (3)  
  310 Invest 1 (3)  
  320 Fin Mkt 1 (3) 3-4
______
63-64 hrs
CS 120 substitutes for ISOM 135 for prerequisite purposes. Students are encouraged to take PHYCS 120. PHYCS 120 satisfies the physical science requirement in the University Core Curriculum. Option 3 students are strongly advised to deepen their understanding of aspects of the program by selecting additional courses from the elective lists above, as well as the following: CS 324 and MATHS 454.  
Option 4: Applied mathematics-physics, 32-33 hours  
MATHS 221 Phy Stats (3)  
  or    
  320 Probability (4) 3-4
362 Numer Anls 1 3
CS 120 Comp Sci 1 4
PHYCS 120 Gen Phycs 1 5
122 Gen Phycs 2 5
3 hours from  
MATHS 363 Numer Anls 2 (3)  
  464 Num Mthd D E (3)  
  465 Topo Cmp Math (1-6) 3
9 hours from  
MATHS 320 Probability (4)
  321 Math Stat (4)  
  335 Math Models (3)  
  363 Numer Anls (3)  
368 Unpd Intship (1-8)
369 Paid Intship (1-8)
  371 Int Anls (3)  
377 Complex Anl (3)
445 Diff Geom (3)
  464 Num Mthd D E (3)  
  465 Top Cmp Math (1-6)  
471 Real Anls 1 (3)
473 Bdry Val Pbm (3)
475 P D E (3)
PHYCS 260 Intro Modern (4)
330 Mechanics (3)
340 Physcl Optic (3)
346 Acoustics (3)
354 Electronic 1 (4)
356 Electronic 2 (4)
450 Elect Magnet (3)
or as approved

9

______

60-61 hrs

Option 5: Computational mathematics, 35-36 hours  
MATHS 221 Phy Stats (3)  
  or    
  320 Probability (4) 3-4
362 Numer Anls 1 3
377 Complex Anl 3
  464 Num Mthd D E 3
  465 Top Cmp Math (1-6) 6
473 Bdry Val Pbm (3)
or  
475 P D E (3)

3

CS 120 Comp Sci 1

4

  121 Comp Sci 2

4

  232 Data Struct 3
  324 Dsg Ana Algo 3
     

______

     

63-64 hrs

By completing CS 230, Option 5 students will earn a minor in computer sciences, which is strongly encouraged. Students are encouraged to take PHYCS 120. PHYCS 120 satisfies the physical science requirement in the University Core Curriculum. Option 5 students are strongly advised to deepen their understanding of aspects of the program by selecting additional courses from the following: MATHS 311, 321, 363, 371, 415, 416, 456, 473 or 475; CS 230, 330, 335, 345, 438, 455, 456, 457.

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MINOR IN COMPUTATIONAL MATHEMATICS,
22-24 hours
PREFIX NO SHORT TITLE CR HRS
MATHS 159 Mth Software 3
  161 Appl Calc 1 (3)  
  or    
  165 Calculus 1 (4) 3-4
  162 Appl Calc 2 (3)  
  or    
  166 Calculus 2 (4) 3-4
  362 Numer Anls 1 3
  374 Dif Equation 3
  464 Num Mthd D E (3)  
  or    
  465 Top Cmp Mth (1-6) 3
CS 120 Comp Sci 1 4
______
22-24 hrs

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MINOR IN FOUNDATIONS OF BUSINESS FOR ACTUARIAL SCIENCE AND MATHEMATICS MAJORS, 23 hours
PREFIX NO SHORT TITLE CR HRS
ACC 201 Prin Acct 1 3
ECON 201 Elem Micro 3
  202 Elem Macro 3
CS 120 Comp Sci 1 4
MATHS 321 Math Stat 4
FIN 300 Prin Fin 1 3
  310 Invest 1 3
______
23 hrs
For this minor only: FIN 300 requires prerequisite ECON 116 or 201, ACC 201; junior standing.

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MINOR IN MATHEMATICS, 23-25 hours
PREFIX NO SHORT TITLE CR HRS
MATHS 159 Mth Software 3
  165 Calculus 1 4
166 Calculus 2 4
267 Calculus 3 4
4 hours from  
MATHS 215 Discrete Sys (4)
217 Lin Algebra (4) 4
4-6 hours from
MATHS 215 Discrete Sys (4)
217 Lin Algebra (4)
  221 Pbty Stats (3)  
251 Intr Mth Fin (2)
311 Alg Struct (3)
320 Probability (4)
321 Math Stat (4)
335 Math Models (3)
345 Survey Geom (4)
362 Numer Anls 1 (3)
363 Numer Anls 2 (3)
  371 Int Anls (3)  
374 Dif Equation (3)
377 Complex Anl (3)
415 Mth Code Com (3)
416 Thry Numbers (3)
441 Geom Topol (3)
445 Diff Geom (3)
456 Intro Op Res (3)
460 Hist of Math (3)
  464 Num Mthd D E (3)  
  465 Top Cmp Math (1-6)  
471 Real Anls 1 (3)
472 Real Anls 2 (3)
473 Bdry Val Pbm (3)
475 P D E (3)
497 Stu-Fac Col (1-6)
or approved MATHS courses 4-6
______
23-25 hrs

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TEACHER EDUCATION

Teaching programs require additional courses in educational methods. The professional education courses are included in
this listing. See the Department of Educational Studies and Teachers College for the descriptions of these courses and
other professional requirements of the teacher education
program.
 

TEACHING MAJOR IN MATHEMATICS,
47-50 hours
PREFIX NO SHORT TITLE CR HRS
MATHS 159 Mth Software 3
  165 Calculus 1 4
166 Calculus 2 4
215 Discrete Sys 4
217 Lin Algebra 4
221 Pbty Stats 3
222 Stat Studies 1
250 Precoll Math 3
498 Senior Sem 2
Complete one option  
Option 1: Middle school, 19-21 hours  
MATHS 201 Num Alg Prob 4
  202 Dat Geo Meas 3
  310 Top Alg EMST 3
  316 Num Thy EMST 3
  360 Top Geo EMST 3
3-5 hours from (as approved by advisor)  
MATHS 251 Intr Mth Fin (2)  
  267 Calculus 3 (4)  
311 Alg Struct (3)  
335 Math Models (3)  
345 Survey Geom (4)  
  371 Int Anls (3)  
  416 Thry Numbers (3)  
460 Hist of Math (3) 3-5
______
47-49 hrs
Students are encouraged to take CS 120 and PHYCS 120. PHYCS 120 satisfies the physical science requirement in the University Core Curriculum.  
Option 2: Secondary school, 20-22 hours  
MATHS 267 Calculus 3 4
311 Alg Struct 3
335 Math Models 3
345 Survey Geom 4
460 Hist of Math 3
3-5 hours from (as approved by advisor)
MATHS 251 Intr Mth Fin (2)  
  320 Probability (4)
362 Numer Anls 1 (3)
  371 Int Anls (3)  
374 Dif Equation (3)
377 Complex Anl (3)
411 Abstr Alg 1 (3)
415 Mth Code Com (3)
416 Thry Numbers (3)
441 Geom Topol (3)
445 Diff Geom (3)
  456 Intro Op Res (3)  
465 Top Cmp Math (1-6)
497 Stu-Fac Col (1-6)

3-5

______
48-50 hrs
Students are encouraged to take CS 120 and PHYCS 120.  PHYCS 120 satisfies the physical science requirement in the University Core Curriculum.
EDUCATION PROGRAM FOR TEACHING MAJOR
IN MATHEMATICS
PREFIX NO SHORT TITLE CR HRS
Professional education sequence, 42 hours
MATHS 150 Int Sec Math 3
EDMUL 205 Multi Educ

3

EDPSY 251 Dev Sec Ed 3
390 Educ Psychol 3
EDJHM 385 Prin Mid Sch 3
MATHS 331 Tech Sec Mat 3
393 Tch Math MS 3
EDFON 420 Fnds of Educ 3
Option 1: Middle school  
MATHS 399 Thry Prac MS (3)  
EDJHM 434 Classrm Mgmt (3)  
Option 2: Secondary school  
MATHS 395 Tch Math Sec (3)  
EDSEC 380 Prin Sec Sch (3) 6
Student teaching 12
______
42 hrs
See Professional Education Assessment/Decision Points, under Teacher Licensing, for additional information.

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MIDDLE SCHOOL/JUNIOR HIGH MATHEMATICS LICENSE, 26-32 hours

Open only to candidates who currently hold or who are pursuing a license in elementary: intermediate education. Middle school/junior high licensure in mathematics will be granted when the following criteria are met:
  • all requirements for the elementary intermediate license;
  • completion of the following mathematics content courses with a C- or better grade;
  • completion of the following mathematics content courses with a 2.5 minimum grade-point average; 
  • completion of the professional education courses with a 2.5 minimum grade-point average;
  • passing score on the PRAXIS II exam for middle school mathematics.
PREFIX NO SHORT TITLE CR HRS
Middle school/junior high content area, mathematics, 20 hours
MATHS 165 Calculus 1 4
181 El Prob Stat 3
215 Discrete Sys 4
310 Top Alg EMST 3
330 Tech E M S 3
360 Top Geo EMST 3
______
20 hrs
Professional education, 6-12 hours  
MATHS 399 Thry Prac MS 3
EDJHM 385 Prin Mid Sch 3
Additional student teaching 0-6
______
6-12 hrs
______
26-32 hrs
Additional student teaching may be waived if elementary student teaching is in grade 5 or
grade 6.

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COURSES:

MATHEMATICAL SCIENCES (MATHS)

108 Intermediate Algebra. (3)
Reviews factoring, quadratic equations and inequalities, relations and functions, rational exponents, systems of linear equations, and exponential and logarithmic functions.  Offered credit/no credit only.
Recommended background: two years of college preparatory mathematics in high school or the equivalent.  
Not open to students who have credit in MATHS courses numbered higher than 108 except MATHS 125.

111 Pre-Calculus Algebra.  (3) 
Such topics as polynomial functions and equations, exponential and logarithmic functions, determinants, systems of equations and inequalities, mathematical induction, the binomial theorem, permutations and combinations, and progressions.  
Prerequisite: MATHS 108, or appropriate score on the SAT/ACT or mathematics placement test, or permission of the department chairperson.  
Not open to students who have credit in MATHS 161 or higher.

112 Precalculus-Trigonometry. (3)
Trigonometric functions, identities, and equations; graphs of the trigonometric and inverse trigonometric functions; solution of right and general triangles; polar coordinates; and complex numbers. Students will be required to use scientific calculators.
Prerequisite: MATHS 108 or 111 or permission of the department chairperson.
Not open to students who have credit in MATHS 161 or higher.

125 Mathematics and Its Applications. (3)
University Core Curriculum course including such topics as mathematical modeling, problem solving, geometrical concepts, growth patterns, and applications to the physical sciences, social sciences, and economics.
Recommended background: three years of college preparatory mathematics in high school.

132 Brief Calculus. (3)
Brief survey of differential and integral calculus. Emphasizes applications.
Prerequisite: MATHS 111.

136 Mathematics for Business. (4)
Topics in mathematics particularly suited to the needs of business majors, including mathematics of finance, probability, and calculus.
Prerequisite: MATHS 111, an appropriate mathematics score on the ACT or SAT, or an appropriate college algebra score on the mathematics placement test.

150 Introduction to Secondary Mathematics Education. (3) 
An introduction to secondary mathematics teaching. Content includes constructing an informed vision of mathematics and mathematics teaching, developing basic skills for teaching mathematics, and beginning preparation for teacher licensure.  Prerequisite or parallel: MATHS 165 or permission of the department chairperson.

159 Introduction to Mathematical Software. (3)
Basic introduction to mathematical software currently used for solving math-related problems on computers, with an emphasis on group learning and group projects.  Includes a regularly scheduled computer laboratory.
Prerequisite or parallel: MATHS 161 or 165 or permission of the department chairperson.

161 Applied Calculus 1. (3)
Discussion of limits, derivatives, differentials, and definite and indefinite integrals. Focuses on the application of these topics in the applied sciences.
Prerequisite: MATHS 112 or permission of the department chairperson.
Not open to students who have credit in MATHS 165.

162 Applied Calculus 2. (3)
Derivatives and integrals of transcendental functions with additional applications, techniques of integration, improper integrals, calculus in higher dimensions and series.
Prerequisite: MATHS 161 or 165.
Not open to students who have credit in MATHS 166.

165 Calculus 1. (4)
Differential calculus of algebraic and transcendental functions and applications, antidifferentiation and the Riemann integral.  Includes the use of graphing calculators and computer software.  Prerequisite: MATHS 111, 112; or sufficient background in algebra and trigonometry as evidenced by the student’s high school record, SAT/ACT scores, and/or score on the mathematics placement test.

166 Calculus 2. (4)
Standard techniques of integration, applications of the integral, sequences and series, indeterminate forms, and numerical methods. Includes the use of graphing calculators and computer software.
Prerequisite: MATHS 165.

181 Elementary Probability and Statistics. (3)
Algebra-based introduction to statistical applications through descriptive methods, probability, normal distributions, confidence intervals, hypotheses tests, regression, and correlation.  Misuses of statistics and common probability misconceptions are discussed. Statistical experiments and simulations are conducted. Technology use is integrated throughout. 
Prerequisite:
qualifying ACT or SAT score, or appropriate score on the mathematics placement test, or MATHS 108, or permission of the department chairperson.

201 Number, Algebra, and Probability for the Elementary Teacher. (4) 
In-depth treatment of concepts underlying common topics in the elementary mathematics curriculum including concepts in number and operation, algebra, a