Handbook for Undergraduate Majors

 

University of Iowa

 

Department of Mathematics

 

 

 

14 MLH (MacLean Hall)

Iowa City, IA 52242

 

(319) 335-0714

 

http://www.math.uiowa.edu

 

 

 

 

 

 

 

 

 

This Handbook belongs to ____________________________________________

 

 

(D. Randell, 1989)

(J. Simon, January 1999)

(D. Anderson, November 2004)


DEPARTMENT OF MATHEMATICS

HANDBOOK FOR UNDERGRADUATE MAJORS

 

A successful math major represents a special combination of creativity and analytic rigor that is respected worldwide. Those of us who “do” mathematics are constantly excited by the combination of internal beauty and powerful applicability that motivate our studies. It's simply great stuff---challenging, fun, and vitally important to society.

Mathematics is a basic tool for understanding the world, and it is a crucial requirement for many careers in science, engineering, business and the professions. It is also a living, dynamic field of research.

There are several paths to a mathematics degree, so the lists of options may look confusing; just remember, for most tracks, you need eleven (11) courses for a BA, thirteen (13) for a BS. A minimum g.p.a. of 2.0 in the major is required to obtain a degree in mathematics, but you should aim much higher.

There are three tracks in the major: program A (for students who plan to work in industry or government or to pursue graduate study in mathematics), program B (Mathematics Education), and program C (mathematics with specialization in a math-related area).

Each track in the major has a core of several courses, followed by choices for electives. All the programs begin with 2 semesters of calculus and a course in linear algebra; your high school background and AP or other college level work will influence where you start. The next level of core courses includes 2‑4 courses (depending on the track) in multivariable calculus, introductory analysis, introductory abstract algebra, and differential equations. After the core courses, you select electives from upper level mathematics courses as well as certain courses in statistics/actuarial science or computer science (see also program C).

We encourage you to pursue interests in the many fields where mathematics is important, such as business and the physical or social sciences. If you want to enter the job market with a BA/BS degree, you should include courses in Computer Science, Statistics, and some area(s) of application. program C allows you to develop a strong area of application and is especially suited to double majors.

There is a special track, program B, for students seeking certification for secondary teaching. For certification you will need to meet a combination of mathematics requirements and College of Education requirements.

While mathematics is not the most common route to careers in fields such as Law or Medicine, we should note that such professional schools, along with graduate programs in many other fields, do welcome math majors. The key is to also take courses in those areas to demonstrate your interest and breadth of ability.

Graduate study is the expected route for college or university teaching and research, and it is advisable for certain industrial and governmental positions.

In this handbook we discuss how to set up programs of study appropriate to your goals and offer some tips and useful information about scheduling, preparation for jobs or graduate school, special opportunities for research, scholarships, etc.

The Department of Mathematics is part of the College of Liberal Arts and Sciences (CLAS), so mathematics majors need to meet CLAS requirements as spelled out in the University Catalog.


This Handbook is available in the Mathematics Department office and on the internet at http://www.math.uiowa.edu. The web site also has additional Department information as well as the home pages of many of the faculty and other students.

 

Contents

DEPARTMENT ADMINISTRATION AND ADVISING_______________________________________

OVERVIEW OF THE BA/BS PROGRAMS______________________________________________

PLANNING YOUR PROGRAM_______________________________________________________

PLANNING THE FIRST YEAR__________________________________________________________

MATHEMATICS INCENTIVE PROGRAM (MIP)____________________________________________

PLANNING THE SECOND YEAR AND BEYOND__________________________________________

PREREQUISITE STRUCTURE FOR CORE COURSES________________________________________

WHEN ARE VARIOUS COURSES OFFERED?_____________________________________________

DETAILS OF PROGRAM A: Mathematics (BA or BS)_________________________________________

DETAILS OF PROGRAM B: Mathematics + Secondary-School Teaching____________________________

DETAILS OF PROGRAM C: Mathematics + Area of Application__________________________________

Templates for Program C____________________________________________________________

Mathematics of Optimal Business Decision Making_____________________________________________________

Mathematics and Economics______________________________________________________________________

Mathematics and Physics________________________________________________________________________

Mathematics and Statistics and Actuarial Science ________________________________________________________13

Mathematics and Computer Science________________________________________________________________ 14

Biomathematics________________________________________________________________________________ 15

Mathematics and Biostatistics_____________________________________________________________________

CALCULUS COURSES_______________________________________________________________

22M:25-26 CALCULUS, I-II_______________________________________________________________________

ENGINEERING CALCULUS______________________________________________________________________

SAMPLE SCHEDULES_______________________________________________________________

Program A BS (Eventual Ph.D.)_________________________________________________________________

Program A BS (Industry, Govt., or Grad.  School in Applied Math.)____________________________

Program B BA (Teaching Certification)____________________________________________________________

FOUR-YEAR GRADUATION PLAN_____________________________________________________

DOUBLE MAJORS AND DOUBLE DEGREES_________________________________________

Computer Science______________________________________________________________________________ 20

Physics and Astronomy_________________________________________________________________________

Statistics and Actuarial Science____________________________________________________________________

Engineering__________________________________________________________________________________

Business, Economics, Biological Sciences____________________________________________________________

MINOR IN MATHEMATICS________________________________________________________

ELEMENTARY EDUCATION MATHEMATICS SPECIALIZATION_______________________

TRANSFERS FROM ENGINEERING TO MATHEMATICS_____________________________


SPECIAL OPPORTUNITIES_________________________________________________________

FINANCIAL AND PERSONAL DEVELOPMENT__________________________________________

UNDERGRADUATE RESEARCH ASSISTANTSHIPS_______________________________________

SUMMER RESEARCH________________________________________________________________

SUMS - the Undergraduate Math club______________________________________________________

HONORS IN MATHEMATICS_________________________________________________________

PREPARING FOR A JOB OR GRADUATE SCHOOL___________________________________

Appendix G: GRADE AND CREDIT REQUIREMENTS__________________________________

Appendix R: REGRESSION, DUPLICATION, and SECOND GRADE OPTION______________

Appendix F: MATHEMATICS FACULTY AND RESEARCH INTERESTS________________ 33

WORKSHEET FOR PLANNING SCHEDULE__________________________________________

 

 

NOTE: Please forward suggestions for improving this Handbook to Prof. Weimin Han, B1D MLH, 335-0770, whan@math.uiowa.edu. During the year, there may be corrections or policy changes, so students and advisors should check occasionally for updates.

 

Nondiscrimination Statement: The University of Iowa prohibits discrimination
in employment or in its educational programs and activities on the basis of race, national origin, color, creed, religion, sex, age, disability, veteran status, sexual orientation, gender identity, or associational
preference. The University also affirms its commitment to providing equal opportunities and equal access to University facilities.


 

DEPARTMENT ADMINISTRATION AND ADVISING

The Mathematics Department has a Chair (Prof. David Manderscheid) and two Associate Chairs (Prof. Dan Anderson, Director of the Graduate Program and Prof. Weimin Han, Director of the Undergraduate Program). The faculty elects its Undergraduate Committee (likewise a Graduate Committee). This year Profs. Han (Chair), Durumeric, Jay, Stewart, Stroyan, and Ye serve on the committee. Day to day decisions implementing Department policies are made by the Program Directors or at the Committee level. The Committees make policy recommendations to the Department faculty.

We have an excellent support staff, including certain Secretaries who deal often with students: Margaret Driscol handles money matters and also is the person to see about meeting with the Department Chair. Cindy Van Ark works most closely with the Graduate Program. Katie Voss works closely with the Undergraduate Program.

Students in all majors usually receive initial advising from AAC, the Academic Advising Center in Quad. From the second year on (maybe sooner for some students), each student is assigned a faculty advisor in the Department of Mathematics. Most students are assigned first to the Director of the Undergraduate Program to provide extra uniformity; after one or two semesters, other faculty take over. For students in the Teacher Education Program (TEP), there also will be a TEP advisor.

 

PEOPLE TO CONTACT

 

PHONE AND/OR EMAIL

 

 

 

Prof. Weimin Han
Director of Undergraduate Program

 

B1D MLH, 335-0770

whan@math.uiowa.edu

 

 

 

Katie Voss, Secretary

 

14 MLH, 335-3175

kvoss@math.uiowa.edu

 

Bill Nibbelink, Mathematics Education Program Advisor

 

N259A LC, 335-5593

William-nibbelink@uiowa.edu

Or contact TEP Applications

 

 

TEP Applications

 

N310 LC, 335-5359

 

 

 

Academic Advising Center

 

C210 Pomerantz Center, 335-5700

 

 

 

Prof. Weimin Han

Department Honors Advisor

 

B1D MLH, 335-0770

whan@math.uiowa.edu

 

 

 


 

OVERVIEW OF THE BA/BS PROGRAMS

There are three programs leading to a BA or BS = (BA plus two extra upper level courses). These are summarized below. See DETAILS OF PROGRAM A, ...B, ...C for more information.

In addition, the Department offers a minor. It is especially easy to do a double major, or major/minor combination in Mathematics, with Statistics/Actuarial Science or with Computer Science because of the number of their courses that count towards a Mathematics degree. (See section on Double Majors)

Program A is the traditional and most general degree. This program is extremely flexible. One student might take electives specifically preparing for graduate work in math, while another might take courses emphasizing tools for applications, including 22C: (Computer Science) and 22S: (Statistics and Actuarial Science) electives.

Program B serves the math majors who are preparing for secondary school teaching. This is a carefully designed program enabling students to satisfy the State of Iowa requirements for Secondary Teaching Certification, as well as College of Education and Department of Mathematics requirements. After completing at least 30 semester hours of college credit, including two semesters of calculus (and with satisfactory GPA), a student applies for admission to the Teacher Education Program in the College of Education. The student continues to be advised jointly by Mathematics and Education faculty. In addition to mathematics courses, TEP students take specified courses in Education and can select liberal arts GE courses to meet other State requirements. However, a student may pursue Program B without being admitted to the TEP.

Program C is designed for students who want a degree in mathematics with a clear specialization in some area of application. The key is that certain courses in the area of application are counted towards the Mathematics degree. (This also facilitates double majors or major/minor combinations.) Students can focus on areas for which templates already have been designed (Optimal Business Decision Making, Economics, Physics, Biomathematics, Biostatistics, Computer Science, Statistics/Actuarial Science) or propose new ones. In consultation with a Mathematics faculty advisor, the student prepares a program of studies tailor-made to her/his future plans or career needs. The proposed program of studies must be approved by the Director of the Undergraduate Program and the Mathematics Department Undergraduate Committee. 


 

PLANNING YOUR PROGRAM

This section has general advice and several sample schedules. Remember the samples are just samples, not rigid specifications. For ProgramS A, B, and C we list the specific requirements you need to satisfy. These are quite flexible, so we do not expect you to need to ask for substitutions or other modifications. But you do have that right, and may appeal to the Department (via the Director of the Undergraduate Program) if you wish to propose a modification. You should consult closely with your faculty advisor before making such an appeal.

Because of the special nature of Program C, it is essential that you work with your Mathematics faculty advisor as early as possible in planning your multi‑year schedule in that program.

It is not hard to get a second major. Natural tie-ins include Computer Science, Statistics or Actuarial Science, since many courses can be counted toward both majors. Other nice combinations are with Physics, other physical or biological sciences, Economics, and other social sciences. Some students also pursue Math/Music and Math/Philosophy combinations. If you are planning a double-major in an area where mathematics is used a