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.
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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prerequisites may be withdrawn by the instructor.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
|
|
|
The "Group 2: Physical Sciences" LE requirement is fulfilled
by meeting major requirements (PHY 211).
|
|
Requirement Description
|
|
|
I.
|
Foreign Language Requirement
|
|
|
|
Mathematics majors must complete eight credit hours in a single foreign
language.
|
|
|
II.
|
Lower Division Mathematics Courses
|
|
|
|
MATH 201 Calculus I
MATH 202 Calculus II
MATH 204 Linear Algebra and Differential Equations
MATH 210 Discrete Mathematics I
|
|
|
III.
|
Upper Division Mathematics Courses
|
|
|
|
MATH 303 Multivariate Calculus
MATH 312 Abstract Algebra
MATH 321 Advanced Calculus
MATH 340 History of Mathematics
MATH 385 ETS Exam
|
|
|
IV.
|
Electives
|
|
|
|
Additional upper division mathematics course work
Students may apply at most six credits of May term hours toward the upper
division elective requirement.
|
|
|
V.
|
Required Courses from Other Programs
|
|
|
|
CMPT 201 Introduction to Computer Science I
PHYS 211 Physics for Scientists and Engineers and Lab I
|
|
|
TOTAL HOURS FOR THE ACADEMIC MAJOR
|
|
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
|
|
|
I.
|
Required Courses
|
|
|
|
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
|
|
|
II.
|
Electives
|
|
|
|
Additional upper division mathematics course work
|
|
|
TOTAL HOURS FOR THE ACADEMIC MINOR
|
|
Teaching Major
|
Liberal Education Courses
|
|
There are no LE requirements included as part of the Mathematics
teaching major.
|
|
Requirement Description
|
|
|
I.
|
Foreign Language Requirement
|
|
|
|
Mathematics Teaching majors must complete eight credit hours in a single
foreign language.
|
|
|
II.
|
Lower Division Mathematics Courses
|
|
|
|
MATH 201 Calculus I
MATH 202 Calculus II
MATH 204 Linear Algebra and Differential Equations
MATH 210 Discrete Mathematics I
|
|
|
III.
|
Upper Division Mathematics Courses
|
|
|
|
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
|
|
|
IV.
|
Electives
|
|
|
|
Additional upper division Mathematics course work
|
|
|
V.
|
Required Courses from Other Programs
|
|
|
|
CMPT 201 Introduction to Computer Science
|
|
|
TOTAL HOURS FOR THE TEACHING MAJOR
|
|
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
|
|
|
I.
|
Required Courses
|
|
|
|
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
|
|
|
TOTAL HOURS FOR THE TEACHING MINOR
|
|
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
|
|