2005 - 2006 Mathematics Program (MATH)

Program Goals | Objectives | Program Requirements | Academic Major | Plan of Study | Academic Minor | Teaching Major | Teaching Minor | Placement | Course Descriptions

Faculty: Bill Bynum, Carolyn Connell, Liz Herrick, Richard Wellman, Janine Wittwer

Program Goals

1.

Critical, Analytical, and Integrative Thinking

 

a.
b.
c.
d.

To become effective problem solvers.
In more advanced courses, to learn to read and construct valid mathematical proofs.
To learn appropriate uses of technology at all levels.
For majors, to achieve competency in the core curriculum of mathematics sufficient for success in a graduate program.

2.

Creative and Reflective Capacities

 

a.

b.

To gain an understanding of the historical development of mathematics and its role in the history of human civilization.
To gain a greater appreciation of the beauty and power of mathematics.

3.

Writing and Other Communication Skills

 

a.

To learn how to effectively communicate one's mathematical ideas, both in writing and orally.

4.

Leadership, Collaboration, and Teamwork

 

a.

To offer curricular and co-curricular opportunities for student leadership and collaboration.

5.

Career Planning

 

a.

To learn about career opportunities in mathematical and related fields.

Objectives

The Mathematics Program offers an academic and a teaching major leading to a Bachelor of Science degree, as well as an academic and teaching minor. The curriculum in mathematics at Westminster meets the needs of students preparing to teach mathematics, students planning on graduate studies, students desiring to pursue non-teaching degrees in mathematics, students majoring in other academic disciplines who need a mathematics foundation, and students desiring practice in the art of logical thinking.

Program Requirements

Students must maintain a minimum cumulative 2.5 GPA in courses required for the academic major and minor. For the teaching major and the teaching minor, each course grade must be at least C. No more than six (6) credit hours from May term courses may be applied to the elective upper division mathematics requirement for the academic major. Prerequisite courses must be satisfied with a grade of C- or better. Students enrolled in mathematics courses without the required prerequisites may be withdrawn by the instructor.

For course prerequisites, please refer to the course description.

Academic Major

Liberal Education Courses

Credit Hours

The "Group 2: Physical Sciences" LE requirement is fulfilled by meeting major requirements (PHY 211).


Requirement Description

Credit Hours

I.

Foreign Language Requirement

8

Mathematics majors must complete eight credit hours in a single foreign language.

8

II.

Lower Division Mathematics Courses

16

MATH 201 Calculus I
MATH 202 Calculus II
MATH 204 Linear Algebra and Differential Equations
MATH 210 Discrete Mathematics I

4
4
4
4

III.

Upper Division Mathematics Courses

15

MATH 303 Multivariate Calculus
MATH 312 Abstract Algebra
MATH 321 Advanced Calculus
MATH 340 History of Mathematics
MATH 385 ETS Exam

4
4
4
3
0

IV.

Electives

16

Additional upper division mathematics course work

Students may apply at most six credits of May term hours toward the upper division elective requirement.

16

V.

Required Courses from Other Programs

8

CMPT 201 Introduction to Computer Science I
PHYS 211 Physics for Scientists and Engineers and Lab I

4
4

TOTAL HOURS FOR THE ACADEMIC MAJOR

63

Recommended Plan of Study for Mathematics Majors

Listed below is a recommended plan of study for completing the mathematics course requirements. Students must also meet college-wide requirements for graduation. See the appropriate section of this catalog for details.

Fall

Spring

Freshman Year
MATH 201 Calculus I 4 MATH 202 Calculus II 4
PHYS 211 Physics for Scientists & Engineers and Lab I MATH 210 Discrete Math I 4
Sophomore Year
MATH 204 Linear Alg/Dif Equat 4 MATH 303 Multivariate Calcul. 4
CMPT 201 Intro to Cmpt Science 4 MATH 340 History of Math. 3
Junior Year
Courses from Group A MATH 312 Abstract Algebra 4
Courses from Group B
Senior Year
MATH 321 Advanced Calculus 4 MATH 385 ETS Exam 0
Courses from Group A Courses from Group B

Group A
Upper division courses offered Fall semester

Even numbered years: MATH 311 Linear Algebra II
MATH 314

Foundations of Geometry

Odd numbered years: MATH 363 Differential Equations II
MATH 310 Probability and Statistics

Group B
Upper division courses offered Spring semester

Even numbered years: MATH 360

Discrete Mathematics II

Odd numbered years: MATH 323 Real and Complex Analysis
MATH 362

Numerical Analysis

Academic Minor

Requirement Description

Credit Hours

I.

Required Courses

23

MATH 201 Calculus I
MATH 202 Calculus II
MATH 204 Linear Algebra and Differential Equations
MATH 210 Discrete Mathematics I
MATH 303 Multivariate Calculus
MATH 340 History of Mathematics

4
4
4
4
4
3

II.

Electives

7

Additional upper division mathematics course work

7

TOTAL HOURS FOR THE ACADEMIC MINOR

30

Teaching Major

Liberal Education Courses

Credit Hours

There are no LE requirements included as part of the Mathematics teaching major.


Requirement Description

Credit Hours

I.

Foreign Language Requirement

8

Mathematics Teaching majors must complete eight credit hours in a single foreign language.

8

II.

Lower Division Mathematics Courses

16

MATH 201 Calculus I
MATH 202 Calculus II
MATH 204 Linear Algebra and Differential Equations
MATH 210 Discrete Mathematics I

4
4
4
4

III.

Upper Division Mathematics Courses

25

MATH 303 Multivariate Calculus
MATH 310 Probability and Statistics
MATH 312 Abstract Algebra
MATH 314 Foundations of Geometry
MATH 321 Advanced Calculus
MATH 340 History of Mathematics
MATH 350 Teaching Methods, Secondary
MATH 385 ETS Exam

4
4
4
4
4
3
2
0

IV.

Electives

2

Additional upper division Mathematics course work

2

V.

Required Courses from Other Programs

4

CMPT 201 Introduction to Computer Science

4

TOTAL HOURS FOR THE TEACHING MAJOR

55

Recommended Plan of Study for Teaching Majors

Listed below is a recommended plan of study for completing the mathematics course requirements. Students must also complete school of education and college-wide requirements for graduation. See the appropriate section of this catalog for details.

Fall Spring

Fall

Spring

Freshman Year
MATH 201 Calculus I 4 MATH 202 Calculus II 4
MATH 210 Discrete Math I 4
Sophomore Year
MATH 204 Linear Alg/Dif Equat 4 MATH 303 Multivariate Calcul. 4
MATH 310 Probability & Stats 4 MATH 340 History of Math. 3
(if odd-numbered year)
MATH 314 Found of Geometry 4
(if even-numbered year)
CMPT 201 Intro to Cmpt Science 4
Junior Year
MATH 350 Meth of Teach Math 2 MATH 312 Abstract Algebra 4
MATH 310 Probability & Stats 4
(if odd-numbered year)
MATH 314 Found of Geometry 4
(if even-numbered year)
Senior Year
MATH 321 Advanced Calculus 4 MATH 385 ETS Exam 0

Teaching Minor

Requirement Description

Credit Hours

I.

Required Courses

30

MATH 201 Calculus I
MATH 202 Calculus II
MATH 204 Linear Algebra and Differential Equations
MATH 210 Discrete Mathematics I
MATH 310 Probability and Statistics
MATH 312 Abstract Algebra
MATH 314 Foundations of Geometry
MATH 350 Teaching Methods, Secondary

4
4
4
4
4
4
4
2

TOTAL HOURS FOR THE TEACHING MINOR

30

Placement in Mathematics Courses

A member of the mathematics faculty should be consulted for any questions about placement in mathematics courses.

Proper placement in mathematics is critical, especially for students registering for a freshman-level mathematics course. Information about placement in the beginning courses (MATH 095 - MATH 105) is contained in the Undergraduate Degree Requirements section of this catalog. Placement testing through the START Center may be helpful for proper placement.

Mathematics courses listing MATH 105 as a prerequisite may be satisfied in a variety of ways as described in the Undergraduate Degree Requirements section of this catalog.

Students receiving scores of 3, 4, or 5 on one of the calculus advanced placement examinations receive the following Westminster credit:

Exam

Score

Credit Given

Calculus AB

3

MATH 141 and 4 hours elective credit

4 - 5

MATH 141 and 201

Calculus BC

3

MATH 141 and 201

4 - 5

MATH 201 and 202