Mathematics

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Faculty: Spencer Bagley, Bill Bynum, Jonas D’Andrea (chair), Kenan Ince, Sean Raleigh, Bianca Thompson, Janine Wittwer

Mathematics Courses

Program Goals

Critical Thinking

  • 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.

Creativity

  • 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.

Collaboration

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

Communication

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

Global Responsibility

  • To engage the community through service learning and other opportunities.

Career Planning

  • To learn about career opportunities in mathematics and related fields.

Objectives

The Mathematics Program offers an academic major, minor, and applied minor as well as 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 world language requirement) required for both the academic major and minors and the teaching minors. For students seeking a mathematics teaching Level 2 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 Students enrolled in mathematics courses without the required prerequisites may be withdrawn by the instructor.

Students must meet the college-wide graduation requirements in addition to the Mathematics major:

  • 124 total hours
  • 30 upper division hours
  • WCore requirements

Mathematics Major

Requirement Description
Credit Hours Prerequisites
I. World Language Requirement 8
Mathematics majors must complete eight credit hours in a single world language.
II. Lower Division Courses 24
DATA 220 Introduction to Statistics (4)
MATH 201 Calculus I (4) (if needed) MATH 144 or placement test
MATH 202 Calculus II (4) MATH 201 or placement test
MATH 203 Multivariate Calculus (4) MATH 202
MATH 210 Discrete Mathematics (4)
WCSAM 203 Linear Algebra (4)
III. Upper Division Courses 10
MATH 312 Abstract Algebra (4) MATH 210
MATH 321 Advanced Calculus (4) MATH 201, 210
MATH 485 Senior Seminar (2) OR

WCSAM 400 Science Capstone (2) (by advisor approval)

Senior standing or consent of instructor
IV. Electives 15
Additional upper-division coursework in MATH or DATA (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
PHYS 211 Physics for Scientists and Engineers I and Lab (4)
(or 4 or 5 on the AP Physics Exam)
MATH 144, co-requisite: MATH 201
Choose four credits from the following list:
  • CMPT 201 Introduction to Computer Science (4)
co-requisite: MATH 101
  • BIOL 370 Scientific Computing (4)
PHYS 211, or both PHYS 151 and MATH 201
  • CHEM 370 Scientific Computing (4)
PHYS 211, or both PHYS 151 and MATH 201
  • PHYS 370 Scientific Computing (4)
PHYS 211, or both PHYS 151 and MATH 201
TOTAL HOURS FOR MATHEMATICS MAJOR 65

Recommended Plan of Study

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
DATA 220


WCSAM 203
MATH elective (upper division)

Junior Year

MATH elective (upper division)
PHYS 211


MATH 312
MATH elective (upper division)

Senior Year

MATH 321
MATH elective (upper division)


MATH 485 or WCSAM 400


Mathematics Minor

Requirement Description
Credit Hours Prerequisites
I. Required Courses 20
DATA 220 Introduction to Statistics (4)
MATH 201 Calculus I (4) (if needed) MATH 144 or placement test
MATH 202 Calculus II (4) MATH 201 or placement test
MATH 210 Discrete Mathematics (4)
WCSAM 203 Linear Algebra (4)
II. Elective Courses 7
Chosen from MATH 203 Multivariate Calculus, and upper-division coursework in MATH or DATA (7)
TOTAL HOURS FOR MATHEMATICS MINOR 27

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.

Requirement Description
Credit Hours Prerequisites
I. Required Courses 12
DATA 220 Introduction to Statistics (4)
MATH 201 Calculus I (4) MATH 144 or placement test
WCSAM 203 Linear Algebra (4)
II. Upper Division Courses 4
Take one of the following courses, from any of the groups:
Computation
BIOL/CHEM/PHYS 370 Scientific Computing (4) PHYS 211, or both PHYS 151 and MATH 201
CMPT 306 Algorithms (4) CMPT 202, MATH 210
MATH 362 Topics in Applied Mathematics (4) MATH 201, and WCSAM 203, MATH 211, or PHYS 309
Economics/Finance
ECON 499 Introduction to Econometrics (4) ECON 253 or 263, and either DATA 150 or DATA 220
FINC 305 Investments and Analysis (4) FINC 300
Science
MATH 363 Differential Equations (4) MATH 202
PHYS 309 Mathematical Methods of Physics (4) MATH 202, PHYS 211
Statistics
MATH 310 Probability and Statistics (4) MATH 202
PSYC 390 Quantitative Research Methods (4) DATA 220, PSYC 270
PUBH 305 Epidemiology (4) PUBH 101, 210
III. Electives 10
MATH 202 Calculus II (4) MATH 201 or placement test
MATH 203 Multivariate Calculus (4) MATH 202
MATH 210 Discrete Mathematics (4)
MATH 308 Putnam Seminar (1) WCSAM 203 or MATH 211
MATH 310 Probability and Statistics (4) MATH 202
MATH 311 Linear Algebra II (4) MATH 210, WCSAM 203
MATH 321 Advanced Calculus (4) MATH 201, 210
MATH 362 Topics in Applied Mathematics (4) MATH 201 and WCSAM 203 or PHYS 309
MATH 363 Differential Equations (4) MATH 202
MATH 300 Special Topics in Mathematics designated as applied math topics
Other MATH course work as approved by the program chair.
instructor permission
DATA 350 Statistical Modeling (4) DATA 220
DATA 370 Statistical Learning (4) DATA 350
TOTAL HOURS FOR APPLIED MINOR 26

Elementary Teaching Minor (Level II)

Requirement Description
Credit Hours Prerequisites
I. Required Courses 23
EDUC 387 Methods of Teaching Secondary School Math (3)
MATH 144 Functions Modeling Change (4) (if needed) MATH 101 or placement test
MATH 201 Calculus I (4) MATH 144 or placement test
MATH 210 Discrete Mathematics (4)
MATH 314 Foundations of Geometry (4) MATH 201; pre or co-requisite: MATH 210
Take one course from the following group:
  • DATA 150 Data and Society (4) or
    DATA 220 Introduction to Statistics (4)
TOTAL HOURS FOR ELEMENTARY TEACHING MINOR 23

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. Students with questions regarding placement should consult with their academic advisors.

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

Exam Score Credit Given
Calculus AB 4–5 MATH 201 (4 credits)
Calculus BC 4–5 MATH 201 and MATH 202  (8 credits)
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