Mathematics (Foundations) - Bachelor of Science

The concentration in Foundations draws on courses from mathematics and philosophy to provide a close look at the underlying logical and philosophical issues in mathematics.

Students must complete all University degree requirements, which include: General Education requirements, Viewing a Wider World requirements, and elective credits to total at least 120 credits with 48 credits in courses numbered 300 or above. Developmental coursework will not count towards the degree requirements and/or elective credits, but may be needed in order to take the necessary English and Mathematics coursework.

Prefix Title Credits
General Education
Area I: Communications
English Composition - Level 1
ENGL 1110GComposition I4
English Composition - Level 2
Choose one from the following:3
Advanced Composition3
Professional & Technical Communication3
Advanced Technical and Professional Communication3
Oral Communication
Choose one from the following:3
Effective Leadership and Communication in Agriculture3
Introduction to Communication3
Public Speaking3
Introduction to Communication Honors3
Area II: Mathematics
MATH 1511GCalculus and Analytic Geometry I (Departmental/College Requirement) 14
Area III/IV: Laboratory Sciences and Social/Behavioral Sciences10-11
Area III: Laboratory Science Course (4 credits) 2
Area IV: Social/Behavioral Sciences Course (3 credits) 2
Either an Area III/IV: Laboratory Sciences Course or Social/Behavioral Science Course (4 credits or 3 credits) 2
Area V: Humanities 23
Area VI: Creative and Fine Arts 23
General Education Elective
MATH 1521GCalculus and Analytic Geometry II (Departmental/College Requirement)4
Viewing a Wider World 33
Departmental/College Requirements
MATH 1531Introduction to Higher Mathematics3
MATH 2415Introduction to Linear Algebra3
MATH 2530GCalculus III3
MATH 331Introduction to Modern Algebra3
or MATH 332 Introduction to Analysis
MATH 411VGreat Theorems in Mathematics3
MATH 452Foundations of Geometry3
MATH 454Logic and Set Theory3
Departmental Electives 4
Select at least 9 additional upper-division credits of approved courses prefixed MATH or STAT (at least 3 must be 400-level), excluding the following:9
Readings1-3
Fundamentals of Algebra and Geometry I0,3
Undergraduate Research1-3
Survey of Geometry3
Undergraduate Research1-3
Non-Departmental Requirements (in addition to Gen.Ed/VWW) 513
Computer Science I4
Formal Logic3
Select two courses from the following, including at least one of PHIL 316:
Philosophy of Mathematics3
Epistemology3
Philosophy of Science3
Second Language Requirement: (not required)
Electives, to bring the total credits to 120 640
15 credits must be upper division.
Total Credits120-121
1

MATH 1511G Calculus and Analytic Geometry I is required for the degree but students may need to take any prerequisites needed to enter MATH 1511G first.

2

See the General Education section of the catalog for a full list of courses

3

See the Viewing a Wider World section of the catalog for a full list of courses. This course must come from outside the college. Note that one of the VWW requirements will be satisfied using the 9 hour rule with the PHIL courses that are required for the degree.

4

MATH 401 Special Topics must be approved by the department for credit towards the major.

5

A grade of C- or better must be earned.

6

Elective credit may vary based on prerequisites, dual credit, AP credit, double majors, and/or minor coursework. The amount indicated in the requirements list is the amount needed to bring the total to 120 credits and may appear in variable form based on the degree. However students may end up needing to complete more or less on a case-by-case basis and students should discuss elective requirements with their advisor.

Second Language Requirement

For the Bachelor of Science in Mathematics with a Concentration in Foundations there is no second language requirement.

A Suggested Plan of Study for Students

This roadmap assumes student  placement in MATH 1511G Calculus and Analytic Geometry I and ENGL 1110G Composition I. The contents and order of this roadmap may vary depending on initial student placement in mathematics and English. It is only a suggested plan of study for students and is not intended as a contract. Course availability may vary from fall to spring semester and may be subject to modification or change.

Some students may be able to bypass one or more courses in the calculus sequence MATH 1511G - MATH 1521G - MATH 2530G. The calculus sequence, Introduction to Higher Mathematics, and Linear Algebra provide knowledge that is basic to further work, and students are advised to complete them or their equivalent as early as possible.

Plan of Study Grid
First Year
FallCredits
ENGL 1110G Composition I (C- or better) 4
MATH 1511G Calculus and Analytic Geometry I (C- or better) 1 4
Area III: Laboratory Science Course 2 4
C S 172 Computer Science I (C- or better) 4
 Credits16
Spring
Choose one from the following: 3
Advanced Composition
Professional & Technical Communication
Advanced Technical and Professional Communication
Either an Area III/IV: Laboratory Science Course or Social/Behavioral Sciences Course 2 3-4
MATH 1521G Calculus and Analytic Geometry II (C- or better) 4
Elective Course 3 3
 Credits13-14
Second Year
Fall
Choose one from the following: 3
Effective Leadership and Communication in Agriculture
Introduction to Communication
Public Speaking
Introduction to Communication Honors
Area V: Humanities Course 2 3
Elective Course 3 3
MATH 2415 Introduction to Linear Algebra (C- or better) 3
MATH 2530G Calculus III (C- or better) 3
 Credits15
Spring
Area IV: Social/Behavioral Sciences Course 2 3
Area VI: Creative and Fine Arts Course 2 3
PHIL 312 Formal Logic 3
MATH 1531 Introduction to Higher Mathematics 3
MATH/STAT Elective Course - 300-level of higher (C- or better) 4 3
 Credits15
Third Year
Fall
Upper level Philosophy course 8 3
VWW - Viewing a Wider World Course 5 3
MATH 331
Introduction to Modern Algebra (C- or better) 7
or Introduction to Analysis
3
MATH/STAT Elective Course - 300-level of higher (C- or better) 4 3
Elective Course 3 3
 Credits15
Spring
Elective Course, - Upper Division 3 3
MATH 452
Foundations of Geometry
or Logic and Set Theory
3
PHIL 316 Philosophy of Mathematics 3
MATH/STAT Elective Course - 400-level (C- or better) 6 3
Elective Course - Upper Division 3 3
 Credits15
Fourth Year
Fall
MATH 411V Great Theorems in Mathematics 3
Elective Course 3 3
Elective Course 3 3
Elective Course - Upper Division 3 3
Elective Course - Upper Division 3 3
 Credits15
Spring
MATH 454
Logic and Set Theory
or Foundations of Geometry
3
Elective Course 3 3
Elective Course - Upper Division 3 3
Elective Course - Upper Division 3 3
Elective Course 3 4
 Credits16
 Total Credits120-121
1

Math Placement: MATH 1511G Calculus and Analytic Geometry I is the starting Math course for the degree, however, students may need to complete any prerequisites prior to enrolling into this course.

2

See the General Education section of the catalog for a full list of courses.

3

Elective credit may vary based on prerequisites, dual credit, AP credit, double majors, and/or minor coursework. The amount indicated in the requirements list is the amount needed to bring the total to 120 credits and may appear in variable form based on the degree. However students may end up needing to complete more or less on a case-by-case basis and students should discuss elective requirements with their advisor.

4

MATH/STAT 300-level courses that cannot be taken to fulfill this requirement: MATH 300 Readings and MATH 313 Fundamentals of Algebra and Geometry I.

5

See the Viewing a Wider World section for a full list of courses.

6

MATH/STAT 400-level courses that cannot be taken to fulfill this requirement: MATH 400 Undergraduate Research, MATH 459 Survey of Geometry, STAT 400 Undergraduate Research.

7

MATH 331 Introduction to Modern Algebra is only offered in the Fall semesters. However,MATH 332 Introduction to Analysis is taught in the Spring and may be used as a substitute.

8

Choose from PHIL 316 Philosophy of Mathematics, PHIL 350 Epistemology or PHIL 351 Philosophy of Science.