University of Chicago at Illinois 2005 - 2007 Undergraduate Catalog

:

Department of Mathematics, Statistics, and Computer Science

Introduction B.S. with a Major in Mathematics Minor in Mathematics
B.S. in the Teaching of Mathematics B.S. in Mathematics and Computer Science Minor in Mathematics and Computer Science
Distinction

322 Science and Engineering Offices (SEO)
312–996–3041
http://www.math.uic.edu
Administration: Head of the Department, Jerry Bona
Director of Undergraduate Studies, Charles Tier, tier@uic.edu
Academic Advisors: Florencio Diaz and Mary F. Hemby


Introduction

Mathematics is the language of the sciences and of all fields where patterns and systematic processes need to be analyzed. The study of the various mathematical sciences involves learning ideas and techniques essential for the natural and social sciences and is increasingly important in all areas of a technological society.

Occupational fields open to students who have completed one of the curricula in the department include mathematical analysis in industry or government, teaching, actuarial (insurance) work, computer programming and other statistical work, and mathematical aspects of business and finance.

The Department of Mathematics, Statistics, and Computer Science offers programs leading to the Bachelor of Science with a Major in Mathematics, the Bachelor of Science in the Teaching of Mathematics, and the Bachelor of Science in Mathematics and Computer Science. A Minor in Mathematics and a Minor in Mathematics and Computer Science are also offered. Each major is assigned a department advisor who approves the student’s choice of courses.

Transfer Students

A transfer student majoring in one of these programs must successfully complete at least half of the mathematics courses in residence at UIC. For the B.S. with a Major in Mathematics, at least 12 semester hours must be at the advanced level; for the B.S. in Mathematics and Computer Science, 14 semester hours must be upper division. No transfer course below calculus may be counted toward the B.S. with a Major in Mathematics, the B.S. in the Teaching of Mathematics, the B.S. in Mathematics and Computer Science, or the B.S. in Statistics and Operations Research. Only grades of A, B, or C in calculus and above from other colleges and universities will be accepted for transfer credit.

Admission Requirements

Students must have concurrent registration in MATH 180—Calculus I, or equivalent standing, as a requirement for declaration of a major in any departmental program.

Honors Courses

Honors sections of some courses in mathematics are offered throughout the year. For details consult the Schedule of Classes. Admission to honors sections is not restricted to mathematics majors, but consent of the department is required.

B.S. with a Major in Mathematics

Degree Requirements—B.S. with a Major in Mathematics

To earn a Bachelor of Science in Liberal Arts and Sciences degree from UIC, students must complete University, college, and department degree requirements. The Department of Mathematics, Statistics, and Computer Science degree requirements are outlined below. Students should consult the College of Liberal Arts and Sciences section for additional degree requirements and college academic policies.

B.S. with a Major in Mathematics
Degree Requirements
Hours
LAS Course Requirements
43–64
Major Requirements
41
Electives
15–36
Minimum Total Hours—B.S. with a Major in
Mathematics
120

LAS Course Requirements

See Course Requirements in College of Liberal Arts and Sciences section for a list of courses to meet this requirement.

Major Requirements

Courses
Hours
MATH 180—Calculus I a
5
MATH 181—Calculus II
5
MATH 210—Calculus III
3
MATH 215—Introduction to Advanced Mathematics
3
MATH 300—Writing for Mathematicsb
1
MATH 313—Analysis I
3
MATH 320—Linear Algebra I
3
MATH 330—Abstract Algebra I
3
Electives chosen from mathematics, statistics, and
mathematical computer science courses numbered
200 or higher, with the exception of MATH 310 and
MATH 410. At least six hours must be at the 400-level.
15
Total Hours—Major Requirements
41
   
NOTE: Students planning advanced study in
Mathematics should choose their electives from
among the following:
MATH 414—Analysis II
3
MATH 417—Complex Analysis with Applications
3
MATH 430—Formal Logic I
3
MATH 431—Abstract Algebra II
3
MATH 435—Foundations of Number Theory
3
MATH 442—Differential Geometry of Curves and
   Surfaces
3
MATH 445—Introduction to Topology I
3
MATH 446—Introduction to Topology II
3

a MATH 180 also fulfills the LAS quantitative reasoning requirement.
b MATH 300 fulfills the Writing-in-the-Discipline requirement.

Electives

Courses
Hours
Total Hours—Electives
15–36

Recommended Plan of Study—B.S. with a Major in Mathematics

Students who do not place into MATH 180 should expect to take summer session courses and possibly take longer than four years to graduate. The honors sections of MATH 180, 181 and 210 are recommended for math majors. Students who have taken AP exams in calculus or computer science need to see a departmental advisor for correct placement.

To view a recommended plan of study for the B.S. with a major in Mathematics, please visit the LAS Web site http://www.uic.edu/las/college/info/fygp.

Minor in Mathematics

Students from other disciplines who want to minor in mathematics must complete 21 semester hours distributed as follows:

Required Courses—Mathematics Minor
Hours
MATH 180—Calculus I
5
MATH 181—Calculus II
5
MATH 210—Calculus III
3
Mathematics electives at the 200-, 300-, or 400-level
8
Total Hours—Mathematics Minor
21

B.S. in the Teaching of Mathematics

Degree Requirements—B.S. in the Teaching of Mathematics

To earn a Bachelor of Science in the Teaching of Mathematics degree from UIC, students must complete University, college, and department degree requirements. The Department of Mathematics, Statistics, and Computer Science degree requirements are outlined below. Students should consult the College of Liberal Arts and Sciences for additional degree requirements and college academic policies.

B.S. in the Teaching of Mathematics
Degree Requirements
Hours
LAS Course Requirements
43–64
Major Requirements
39
Additional Requirements for Teacher Certification
28
Electives
0–10
Minimum Total Hours—B.S. in the Teaching
of Mathematics
120

LAS Course Requirements

See Course Requirements in College of Liberal Arts and Sciences section for a list of courses to meet this requirement.

Major Requirements

Courses
Hours
MATH 180—Calculus Ia
5
MATH 181—Calculus II
5
MATH 210—Calculus III
3
MATH 300—Writing for Mathematicsb
1
   
One of the following courses:
3
MATH 310—Applied Linear Algebra (3)
OR
MATH 320—Linear Algebra I (3)
   
MATH 330—Abstract Algebra I
3
MTHT 400—Methods of Teaching Secondary Mathematics I
3
MTHT 401—Methods of Teaching Secondary Mathematics II
3
MTHT 410—Advanced Euclidean Geometry I
3
MTHT 411—Advanced Euclidean Geometry II
3
MTHT 430—Mathematical Analysis for Teachers I
4
   
One of the following courses:
3
MTHT420—Methods of Structured Programming I (3)
OR
STAT 401—Introduction to Probability (3)
Total Hours—Major Requirements
39

a MATH 180 fulfills the LAS quantitative reasoning requirement.
b MATH 300 fulfills the Writing-in-the-Discipline requirement.

Additional Requirements for Teacher Certification

Courses
Hours
ED 200—Education Policy Foundations
3
ED 210—The Educative Process
3
ED 330—Curriculum, Instruction, and Evaluation
    in the Secondary School
4
CIE 414—Middle and High School Literacy
3
SPED 410—Survey of Characteristics of Learners
    with Disabilities
3
MTHT 438—Educational Practice with Seminar I
6
MTHT 439—Educational Practice with Seminar II
6
Total Hours—Additional Requirements for
Teacher Certification
28

Electives

Courses
Hours
Total Hours—Electives
0–10

Students in the Teacher Education in Mathematics curriculum must have a GPA of at least 2.50/4.00 in all mathematics courses (MATH, MCS, MTHT, or STAT) beginning with all calculus (excluding MTHT 400 and 401) to be recommended for student teaching (MTHT 438 and 439). The candidate must also maintain a minimum cumulative GPA of 2.50/4.00 and a minimum GPA of 3.00/4.00 in education courses.

The teaching certificate is not automatically awarded upon successful completion of certification and degree requirements. Before the certificate is issued, the candidate must file an application for the Illinois teaching certificate with the Council on Teacher Education. The candidate must also pass a series of examinations required by the Illinois State Board of Education. The Basic Skills Test must be passed prior to applying for candidacy with the Council on Teacher Education. The Content Area Test must be passed before the candidate is allowed to student teach. The Assessment of Professional Teaching must be passed prior to certification. For information on application procedures, contact the Council on Teacher Education located in 3015 EPASW. See Council on Teacher Education and Secondary Education Program in the College of Education section of the catalog. For detailed information concerning degree and state teacher certification requirements, see the Program Guide for Teacher Education in Mathematics, available from the secondary education coordinator of the Office of Mathematics and Computer Education.

Recommended Plan of Study—B.S. in the Teaching of Mathematics

To view a recommended plan of study for the Bachelor of Science in the Teaching of Mathematics, please visit the LAS Web site at www.uic.edu/las/college/info/fygp.

B.S. in Mathematics and Computer Science

The B.S. in Mathematics and Computer Science curriculum is designed for students who seek careers in systems and/or mathematical programming. Students who successfully complete the program are awarded the degree of Bachelor of Science in Mathematics and Computer Science. Students in this curriculum who plan to continue into graduate studies are urged to include among their courses as many 300- and 400-level courses as possible.

Degree Requirements—B.S. in Mathematics and Computer Science

To earn a Bachelor of Science in Mathematics and Computer Science degree from UIC, students must complete University, college, and department degree requirements. The Department of Mathematics, Statistics, and Computer Science degree requirements are outlined below. Students should consult the College of Liberal Arts and Sciences section for additional degree requirements and college academic policies.

B.S. in Mathematics and Computer Science
Degree Requirements
Hours
Requirements for the Curriculum
120
Minimum Total Hours—
B.S. in Mathematics and Computer Science
120

Requirements for the Curriculum

The Requirements for the Curriculum include courses necessary to complete the Course Requirements described in the College of Liberal Arts and Sciences section.

Courses
Hours
ENGL 160—English Composition I
3
ENGL 161—English Composition II
3
Foreign language (the equivalent of two years of a
single language at the college level)
0–16
Humanities
9
Social sciences
9
Natural sciencesa
3–5
Cultural diversity course if not taken as part of social
sciences/humanities course
0–3
MATH 180—Calculus Ib
5
MATH 181—Calculus II
5
MATH 210—Calculus III
3
MCS 260—Introduction to Computer Science
4
MCS 261—Discrete Mathematics
3
MCS 275—Programming Tools and File Management
4
MCS 360—Introduction to Data Structures
4
MATH 300—Writing for Mathematicsc
1
   
One of the following courses:
3
MATH 310—Applied Linear Algebra (3)
OR
MATH 320—Linear Algebra I (3)
   
STAT 381—Applied Statistical Methods I
3
   
Six mathematics and mathematical computer
science courses related to computer science
chosen from the following:
18
MATH 220—Introduction to Differential Equations (3)
MATH 330—Abstract Algebra I (3)
MATH 410—Advanced Calculus I (3)
MATH 430—Formal Logic I (3)
MATH 435—Foundations of Number Theory (3)
MATH 436—Number Theory for Applications (3)
MATH 480—Applied Differential Equations (3)
STAT 471—Linear and Non-Linear Programming (3)
Any 300- or 400-level MCS course, except MCS 360
   
One of the following natural sciences sequences:
8–10
PHYS 141—General Physics I (Mechanics) (4)
PHYS 142—General Physics II (Electricity and
Magnetism) (4)
OR
CHEM 112—General College Chemistry I (5)
CHEM 114—General College Chemistry II (5)
OR
CHEM 116—Honors General College Chemistry I (5)
CHEM 118—Honors General College Chemistry II (5)
OR
BIOS 100—Biology of Cells and Organisms (5)
BIOS 101—Biology of Populations and Communities (5)
      
Electives to complete degree requirement of
120 hours
10–30
Total Hours—Requirements for the Curriculum
120

a Five hours outside of MCS or PHYS, if taking PHYS 141/142; or 3 hours outside of MCS or CHEM, if taking CHEM 112/114 or CHEM 116/118; or 3 hours outside of MCS or BIOS, if taking BIOS 100/101.
b MATH 180 also fulfills the LAS quantitative reasoning requirement.
c MATH 300 fulfills the LAS Writing-in-the-Discipline requirement.

Recommended Plan of Study—B.S. in Mathematics and Computer Science

A recommended basic sequence of courses is listed below. Students who do not place into MATH 180 should expect to take summer session courses and possibly take longer than four years to graduate. Students who have taken AP exams in calculus or computer science need to see a departmental advisor for correct placement.

Freshman Year
Fall Semester
Hours
MATH 180—Calculus I
5
Foreign language
4
ENGL 160—English Composition I
3
Humanities/social sciences/natural sciences
3–5
Total Hours
15–17
   
Spring Semester
Hours
MATH 181—Calculus II
5
MCS 260—Introduction to Computer Science
4
Foreign language
4
ENGL 161—English Composition II
3
Total Hours
16
   
Sophomore Year
Fall Semester
Hours
MATH 210—Calculus III
3
MCS 261—Discrete Mathematics
3
Foreign language
4
First natural science sequence course
4–5
Total Hours
14–15
   
Spring Semester
Hours
MATH 310—Applied Linear Algebra
OR
MATH 320—Linear Algebra I
3
   
MCS 275—Programming Tools and File Management
4
Second natural science sequence course
4–5
Foreign language
4
Total Hours
15–16
   
Junior Year
Fall Semester
Hours
MCS 360—Introduction to Data Structures
4
MATH or MCS elective from list
3
MATH 300—Writing for Mathematics
1
Humanities/social sciences/natural sciences
3–5
Humanities/social sciences/natural sciences
3–5
Total Hours
14–18
   
Spring Semester
Hours
STAT 381—Applied Statistical Methods I
3
MATH or MCS elective from list
3
Humanities/social sciences/natural sciences
3–5
Humanities/social sciences/natural sciences
3–5
Total Hours
12–16
   
Senior Year
Fall Semester
Hours
MATH or MCS elective from list
3
MATH or MCS elective from list
3
Humanities/social sciences/natural sciences
3–5
Humanities/social sciences/natural sciences
3–5
Total Hours
12–16
   
Spring Semester
Hours
MATH or MCS elective from list
3
MATH or MCS elective from list
3
Electives
6
Total Hours
12

Elective Course Suggestions for MCS Majors

It is strongly recommended that the mathematics or mathematical computer science electives include one complete cluster from the following:

Algorithms and Operations Research Cluster
Courses
Hours
MCS 401—Computer Algorithms I
3
STAT 471—Linear and Non-Linear Programming
3
MCS 423—Graph Theory
3
OR
MCS 481—Computational Geometry
3
 
Coding, Cryptography, and Number Theory Cluster
Courses
Hours
MCS 425—Codes and Cryptography
3
MATH 435—Foundations of Number Theory
3
MATH 436—Number Theory for Applications
3
OR
MCS 401—Computer Algorithms I
3
 
Combinatorics and Theory of Computation Cluster
Courses
Hours
MCS 421—Combinatorics
3
MCS 423—Graph Theory
3
MCS 441—Theory of Computation I
3
OR
MATH 430—Formal Logic I
3
 
Programming Cluster
Courses
Hours
MCS 320—Introduction to Symbolic Computation
3
MCS 415—Programming Language Design
3
MCS 451—Object-Oriented Programming in C++
3
 
Scientific Computation Cluster
Courses
Hours
MCS 320—Introduction to Symbolic Computation
3
MCS 471—Numerical Analysis
3
MATH 480—Applied Differential Equations
3
OR
MATH 410—Advanced Calculus I
3

Minor in Mathematics and Computer Science

Students from other disciplines who want to minor in mathematics and computer science must complete 19–21 semester hours distributed as follows:

Required Courses—Mathematics and
Computer Science Minor
Hours
MATH 180—Calculus I
5
MCS 260—Introduction to Computer Science
4
MCS 261—Discrete Mathematics
3
MCS 275—Programming Tools and File Management
4
One course chosen from MATH 181—Calculus II or
any 300- or 400-level MCS course.
3–5
Total Hours—Mathematics and
Computer Science Minor
19–21

Distinction

For consideration, the student must have a minimum of a 3.50/4.00 GPA in upper-division courses in the department. The department may award high and highest distinction in recognition of outstanding academic achievement.





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