Mathematics (MATH)

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Faculty: Bill Bynum, Carolyn Connell, Jonas D’Andrea, Liz Herrick, Sean Raleigh, Richard Wellman, Janine Wittwer, Holly Zullo

Program Goals

Critical, Analytical, and Integrative 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.

Creative and Reflective Capacities

  • 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.

Writing and Other Communication Skills

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

Leadership, Collaboration, and Teamwork

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

Career Planning

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

Global Consciousness, Social Responsibility, and Ethical Awareness

  • 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 Students enrolled in mathematics courses without the required prerequisites may be withdrawn by the instructor.

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

  • 124 total hours
  • 30 upper division hours
  • Liberal education distribution

Academic Major

Requirement Description
Credit Hours Prerequisites
I. Foreign Language Requirement 8
Mathematics majors must complete eight credit hours in a single foreign language.
II. Lower Division Mathematics Courses 16
MATH 201 Calculus I (LE) or MATH 201B Calculus for the Life Sciences (LE) (if needed) (4)—offered every semester MATH 142 (LE) or MATH 143 (LE) or consent of instructor or placement test
MATH 202 Calculus II (4)—offered every semester MATH 201 (LE) or 201B (LE) or placement test
MATH 203 Multivariate Calculus (4)—offered every fall MATH 202
MATH 210 Discrete Mathematics (4)—offered every semester MATH 201 (LE) or 201B (LE)
MATH 211 Introduction to Linear Algebra (4)—offered every fall MATH 201 (LE) or 201B (LE)
III. Upper Division Mathematics Courses 13
MATH 312 Abstract Algebra (4)—offered every spring MATH 203, 210, 211
MATH 321 Advanced Calculus (4)—offered every fall MATH 203, 210, 211, junior/senior standing
MATH 340 History of Mathematics (3)—offered every spring MATH 202, 210
MATH 485 Senior Seminar (2)—offered every spring senior standing or consent of instructor, see course description
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)—offered every fall
or
co-requisite: MATH 105
BIOL 370 Scientific Computing (4)
or
PHYS 211, or both PHYS 151 and MATH 201 (LE), see course description
CHEM 370 Scientific Computing (4)
or
PHYS 211, or both PHYS 151 and MATH 201 (LE), see course description
PHYS 370 Scientific Computing (4) PHYS 211, or both PHYS 151 and MATH 201 (LE), see course description
PHYS 211 Physics for Scientists and Engineers and Lab I (4)
(or 4 or 5 on the AP Physics Exam)
MATH 141–142 (LE) or 143 (LE), co-requisites: MATH 201-202 (LE)
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

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 or MATH 201B (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 Prerequisites
I. Required Courses 15
MATH 201 Calculus I (LE) or MATH 201B Calculus for the Life Sciences (LE)  (if needed) (4)—offered every semester MATH 142 (LE) or MATH 143 (LE) or consent of
instructor or placement test
MATH 202 Calculus II (4)—offered every semester MATH 201 (LE) or 201B (LE) or placement test
MATH 210 Discrete Mathematics (4)—offered every semester MATH 201 (LE) or 201B (LE)
MATH 211 Introduction to Linear Algebra (4)—offered every fall MATH 201 (LE) or 201B (LE)
MATH 340 History of Mathematics (3)—offered every spring MATH 202, 210
II. Elective Courses 11
Chosen from MATH 203 Multivariate Calculus, and upper division
mathematics coursework (11)
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.

Requirement Description
Credit Hours Prerequisites
I. Required Courses 10–12
MATH 211 Introduction to Linear Algebra (4)—offered every fall MATH 201 (LE) or 201B (LE)
Choose one of these:
MATH 150 Elementary Statistics (LE) (4)—offered every semester MATH 105 or placement test
MATH 240 Statistics for the Sciences (LE) (4) )—offered every semester MATH 141 (LE)
MATH 306 Introduction to Statistical Methods (2)—offered every odd May term MATH 201 (LE) or 201B (LE)
Choose one of these:
MATH 201 Calculus I, LE (4)—offered every semester MATH 142 (LE) or MATH 143 (LE) or consent of
instructor or placement test
MATH 201B Calculus for the Life Sciences (LE) (4)—offered every semester MATH 142 (LE) or MATH 143 (LE) or consent of
instructor or placement test
II. Upper Division Courses 4
Choose one of the following courses, from any of the groups:
Statistics:
PSYC 390 Quantitative Research Methods (4) MATH 150 (LE)
MATH 310 Probability and Statistics (4)—offered every fall MATH 202
PUBH Epidemiology (4) PUBH 101, 210
Economics/Finance:
ECON 499 Introduction to Econometrics (4)—offered every fall ECON 253 (LE), 263; MATH 141 (LE), 150 (LE)
FINC 305 Investments and Analysis (4) FINC 300
Science:
PHYS 309 Mathematical Methods of Physics (4) MATH 202; PHYS 211
MATH 363 Differential Equations (4)—offered every even spring MATH 202
Computation:
CMPT 306 Algorithms and Data Structures (4)—offered every fall CMPT 202; MATH 210
MATH 362 Topics in Applied Mathematics (4) MATH 201 (LE) or 201B (LE) and 211, or MATH 201 (LE) or 201B (LE) and PHYS 309
BIOL/CHEM/PHYS 370 Scientific Computing (4) PHYS 211, or both PHYS 151 and MATH 201 (LE), see course description
III. Electives 10
MATH 202 Calculus II (4)—offered every semester MATH 201 (LE) or 201B (LE) or placement test
MATH 203 Multivariate Calculus (4)—offered every fall MATH 202
MATH 210 Discrete Mathematics (4)—offered every semester MATH 201 (LE) or 201B (LE)
MATH 308 Putnam Seminar (1)—offered every fall MATH 211
MATH 310 Probability and Statistics (4)—offered every odd fall MATH 202
MATH 311 Linear Algebra II (4) MATH  210 and 211
MATH 321 Advanced Calculus (4)—offered every fall MATH 203, 210, 211, junior/senior standing
MATH 362 Topics in Applied Mathematics (4)—offered every fall MATH 211; or MATH 201 or 201B and PHYS 309
MATH 363 Differential Equations (4)—offered every even spring MATH 202
MATH 300 Special Topics designated as applied math topics
Other MATH course work as approved by the program chair.
consent of instructor
TOTAL HOURS FOR THE APPLIED MINOR 24–26

Elementary Teaching Minor (Level II)

Requirement Description
Credit Hours Prerequisites
I. Required Courses 18-19
EDUC     387     Methods of Teaching Secondary School Math (3)
MATH     141     College Algebra (if needed) (4) MATH 105 or placement test
MATH     142     Trigonometry (if needed) (2) MATH 141 or placement test
MATH     150     Elementary Statistics (4) MATH 105 or placement test
MATH     201     Calculus I (4) MATH 142 or MATH 143 or consent of instructor or placement test
Choose two of the following:
MATH     120     Quantitative Reasoning (4) MATH 105 or placement test
MATH     210     Discrete Mathematics (4) MATH 201 or 201B
MATH     314     Foundations of Geometry (4) MATH 201 or 201B;
Pre- or co-requisite: MATH 210
MATH     340     History of Mathematics (3) MATH 202, 210
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 143) 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 have the prerequisite 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