2012 - 2013 Mathematics Program (MATH)
Objectives | Program Requirements | Academic Major | Plan of Study | Academic Minor | Teaching Minor | Placement | Course Descriptions
Faculty: Bill Bynum, Carolyn Connell, Jonas D'Andrea, Liz Herrick, Sean Raleigh, Richard Wellman, Janine Wittwer
Program Goals
- Critical, Analytical, and Integrative Thinking
a. To become effective problem solvers.
b. In more advanced courses, to learn to read and construct valid mathematical proofs.
c. To learn appropriate uses of technology at all levels.
d. For majors, to achieve competency in the core curriculum of mathematics sufficient for success in a graduate program.
- Creative and Reflective Capacities
a. To gain an understanding of the historical development of mathematics and its role in the history of human civilization.
b. To gain a greater appreciation of the beauty and power of mathematics.
- Writing and Other Communication Skills
a. To learn how to effectively communicate one's mathematical ideas, both in writing and orally.
- Leadership, Collaboration, and Teamwork
a. To offer curricular and co-curricular opportunities for student leadership and collaboration.
- Career Planning
a. To learn about career opportunities in mathematics and related fields.
- Global Consciousness, Social Responsibility, and Ethical Awareness
a. To engage the community through service learning and other opportunities.
Objectives
The Mathematics Program offers an academic major, minor, and applied minor as well as a secondary teaching minor and an elementary 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 (excluding the foreign language requirement) required for both the academic major and minors and the teaching minors. For students seeking a mathematics teaching Level 2, Level 3 or Level 4 endorsement, 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 Physical Sciences LE requirement is fulfilled by PHYS 211 but not by AP Physics credit. |
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 (if needed) |
(4) |
| MATH 202 |
Calculus II |
4 |
| MATH 203 |
Multivariate Calculus |
4 |
| MATH 210 |
Discrete Mathematics |
4 |
| MATH 211 |
Introduction to Linear Algebra |
4 |
|
|
| III. Upper Division Mathematics Courses |
13 |
| MATH 312 |
Abstract Algebra |
4 |
| MATH 321 |
Advanced Calculus |
4 |
| MATH 340 |
History of Mathematics |
3 |
| MATH 485 |
Senior Seminar |
2 |
|
|
| IV. Electives |
15 |
| Additional upper division mathematics coursework |
15 |
| |
|
| Students may apply at most six credits of May term hours toward the upper division elective requirement. |
|
|
|
| V. Required Courses from Other Programs |
8 |
| CMPT 201 |
Introduction to Computer Science |
4 |
| PHYS 211 |
Physics for Scientists and Engineers and Lab I (or a 4 or 5 on the AP Physics Exam) |
4 |
|
|
| TOTAL HOURS FOR THE ACADEMIC MAJOR |
60 |
By choosing MATH 310, MATH 314, and MATH 363 as electives, a student with an Educator License is eligible for a Mathematics Level 4 Endorsement.
Recommended Plan of Study for Mathematics Majors
Listed below is a suggested plan of study for completing the mathematics course requirements. Students should check with their advisors at least once a year as course offerings may change from what is listed. Students must also meet college-wide requirements for graduation.
| |
Fall Semester |
Spring Semester |
| Freshman Year |
MATH 201 (if needed)
CMPT 201 |
MATH 202
MATH 210 |
| Sophomore Year |
MATH 203
PHYS 211 |
MATH 211
MATH elective
(upper division) |
| Junior Year |
MATH elective
(upper division) |
MATH 312
MATH elective
(upper division) |
| Senior Year |
MATH 321
MATH elective
(upper division) |
MATH 340
MATH 485 |
Academic Minor
Requirement Description
|
Credit Hours |
| I. Required Courses |
15 |
| MATH 201 |
Calculus I (if needed) |
(4) |
| MATH 202 |
Calculus II |
4 |
| MATH 210 |
Discrete Mathematics |
4 |
| MATH 211 |
Introduction to Linear Algebra |
4 |
| MATH 340 |
History of Mathematics |
3 |
|
|
| II. Electives |
11 |
| Chosen from MATH 203, Multivariate Calculus, and upper division mathematics coursework |
|
| TOTAL HOURS FOR THE ACADEMIC MINOR |
26 |
Applied Minor
Students may count credit hours in sections I and II below toward this minor and toward completion of a major. In other words, this is an exception to the college policy that disallows double-counting of elective courses, in general.
Requirement Description
|
Credit Hours |
| I. Required Courses |
10-12 |
| Choose one of these: |
2-4 |
MATH 150
MATH 240
MATH 306 |
Elementary Statistics (4)
Statistics for the Sciences (4)
Introduction to Statistical Methods (2) |
|
| |
|
|
| Choose one of these: |
4 |
MATH 201
MATH 201B |
Calculus I (4)
Calculus for the Life Sciences(4) |
|
| |
|
|
| Take this course: |
4 |
| MATH 211 |
Introduction to Linear Algebra (4) |
|
|
|
| II. Upper Division Courses |
4 |
|
Choose one of the following courses, from any of the groups:
| Statistics: |
|
| PSYC 390 |
Quantitative Research Methods (4) |
|
| MATH 310 |
Probability and Statistics (4) |
|
| |
|
|
| Economics/Finance: |
|
| ECON 499 |
Introduction to Econometrics (4) |
|
| FINC 305 |
Investments and Analysis (4) |
|
| |
|
|
| Science: |
|
|
| PHYS 309 |
Mathematical Methods of Physics (4) |
|
| MATH 363 |
Differential Equations (4) |
|
| |
|
|
| Computation: |
|
|
| CMPT 306 |
Algorithms and Data Structures (4) |
|
| MATH 362 |
Topics in Applied Mathematics (4) |
|
|
|
| III. Electives |
10 |
| MATH 202 |
Calculus II (4) |
|
| MATH 203 |
Multivariate Calculus (4) |
|
| MATH 210 |
Discrete Mathematics (4) |
|
| MATH 308 |
Putnam Seminar (may be taken twice for credit) (1) |
|
| MATH 310 |
Probability and Statistics (4) |
|
| MATH 311 |
Linear Algebra II (4) |
|
| MATH 321 |
Advanced Calculus (4) |
|
| MATH 362 |
Topics in Applied Mathematics (4) |
|
| MATH 363 |
Differential Equations (4) |
|
| MATH 300 |
Special Topics designated as applied math topics |
|
|
|
| TOTAL HOURS FOR THE APPLIED MINOR |
24-26 |
Secondary Teaching Minor (Level 3)
Requirement Description
|
Credit Hours |
| I. Required Courses |
24 |
| MATH 201 |
Calculus I (if needed) |
(4) |
| MATH 202 |
Calculus II |
4 |
| MATH 210 |
Discrete Mathematics |
4 |
| MATH 211 |
Introduction to Linear Algebra |
4 |
| MATH 310 |
Probability and Statistics |
4 |
| MATH 312 |
Abstract Algebra |
4 |
| MATH 314 |
Foundations of Geometry |
4 |
|
|
| TOTAL HOURS FOR THE SECONDARY TEACHING MINOR |
24 |
Elementary Teaching Minor (Level 2)
Requirement Description
|
Credit Hours |
| I. Required Courses |
18-19 |
| EDUC 387 |
Methods of Teaching Secondary School Math |
3 |
| MATH 141 |
College Algebra (if needed) |
(4) |
| MATH 142 |
Trigonometry (if needed) |
(2) |
| MATH 150 |
Elementary Statistics |
4 |
| MATH 201 |
Calculus I |
4 |
| |
|
|
| Choose two of these: |
7-8 |
| MATH 120 |
Quantitative Reasoning (4) |
|
| MATH 210 |
Discrete Mathematics (4) |
|
| MATH 314 |
Foundations of Geometry (4) |
|
| MATH 340 |
History of Mathematics (3) |
|
|
|
| TOTAL HOURS FOR THE ELEMENTARY TEACHING MINOR |
18-19 |
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 141) is contained in the 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 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 plus 4 hours elective credit
|
|
|
4-5
|
MATH 141 and 201
|
|
Calculus BC
|
3
|
MATH 141 and 201
|
|
|
4-5
|
MATH 201 and 202
|