2014–2015 Mathematics Program (MATH)
Program Goals  Objectives  Program Requirements  Academic Major  Academic Minor  Applied Minor  Secondary Teaching Minor  Elementary Teaching Minor  Placement  Course Descriptions
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 cocurricular 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 nonteaching 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 collegewide graduation requirements in addition to the Mathematics major:
 124 total hours
 30 upper division hours
 Liberal education distribution
Academic Major
Credit Hours  Prerequisites  
Liberal Education Courses  
The Physical Sciences LE requirement is fulfilled by PHYS 211 but not by AP Physics credit. 
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)  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) 

V. Required Courses from Other Programs  8  
CMPT 201 Introduction to Computer Science (4)—offered every fall or 
corequisite: 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), corequisites: MATH 201202 (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 for Mathematics
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 collegewide 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)  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 doublecounting of elective courses.
Requirement Description 
Credit Hours  Prerequisites 
I. Required Courses  10–12  
MATH 211 Introduction to Linear Algebra (4)  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)  MATH 201 (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)  MATH 202  
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)  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  
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)  MATH 202  
MATH 311 Linear Algebra II (4)  MATH 201 (LE) or 201B (LE), 210, 211  
MATH 321 Advanced Calculus (4)—offered every fall  MATH 203, 210, 211, junior/senior standing  
MATH 362 Topics in Applied Mathematics (4)  MATH 201 (LE) or 201B (LE) and 211, or MATH 201 or 201B (LE) and PHYS 309  
MATH 363 Differential Equations (4)  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 
Secondary Teaching Minor (Level 3)
Requirement Description 
Credit Hours  Prerequisites 
I. Required Courses  24  
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)  MATH 201 (LE) or 201B (LE)  
MATH 310 Probability and Statistics (4)  MATH 202  
MATH 312 Abstract Algebra (4)—offered every spring  MATH 203, 210, 211  
MATH 314 Foundations of Geometry (4)  MATH 201 (LE) or 201B (LE); pre or corequisite: MATH 210  
TOTAL HOURS FOR THE SECONDARY TEACHING MINOR  24 
Elementary Teaching Minor (Level 2)
Requirement Description 
Credit Hours  Prerequisites 
I. Required Courses  18–19  
EDUC 387 Methods of Teaching Secondary School Math (3)  consent of instructor  
MATH 141 College Algebra (LE) (if needed) (4)—offered every semester  MATH 105 or placement test  
MATH 142 Trigonometry (LE) (if needed) (2)—offered every semester. (MATH 143 will satisfy MATH 141 and 142).  MATH 141 (LE) or placement test  
MATH 150 Elementary Statistics (LE) (4)—offered every semester  MATH 105 or placement test  
MATH 201 Calculus I (LE) or 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 

Choose two of these:  
MATH 120 Quantitative Reasoning, LE (4)  MATH 105 or placement test  
MATH 210 Discrete Mathematics (4)—offered every semester  MATH 201 (LE) or 201B (LE)  
MATH 314 Foundations of Geometry (4)  MATH 201 or 201B (LE), pre or corequisite: MATH 210  
MATH 340 History of Mathematics (3)—offered every spring  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 freshmanlevel 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 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 