Mathematics Program Requirements



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Faculty

  • Spencer Bagley
  • Bill Bynum
  • Jonas D’Andrea
  • Kenan Ince (Chair)
  • Sean Raleigh
  • Bianca Thompson
  • Janine Wittwer

view Mathematics Courses

Program Goals

  • Critical Thinking
    • To develop the cognitive and affective skills to address previously unsolved problems.
    • In all courses, to construct well-reasoned arguments with no gaps, and critique the arguments of others. In more advanced courses, to learn to read and construct valid mathematical proofs, and critique proofs constructed by others.
    • To learn appropriate uses of technology at all levels.
    • In all courses, to develop competencies in the core curriculum of mathematics that prepare students for success in a major program. For majors, to develop competencies in the core curriculum of mathematics that prepare students for success in a graduate program or mathematically-focused career.
  • Creativity
    • To appreciate the sociocultural context of mathematics and its role in human cultures and societies.
    • To experience the beauty, creativity, and power of mathematics.
    • To develop students’ identity as mathematicians, doers of mathematics, and members of mathematical communities.
  • Collaboration
    • To offer curricular and co-curricular opportunities for student leadership and collaboration.
    • To collaborate with others in posing and addressing problems.
  • Communication
    • To learn how to effectively communicate one’s mathematical ideas in words, symbols, numbers, and diagrams, both orally and in writing.
    • To communicate mathematics at appropriate levels with others inside and outside of the mathematical community.
  • Global Responsibility
    • To engage the community through applying mathematical knowledge, service learning, internships, and other opportunities.
    • To experience non-Western-European mathematics as equally valid forms of mathematical practice. 
    • To appreciate the contributions of mathematicians from historically minoritized, oppressed, and/or non-European backgrounds.
  • Career Planning
    • To learn about career opportunities and internships 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 or Honors College 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 (if needed)   4 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
Choose one of the following:      

MATH 485 or

 

Senior Seminar or

 

2 Senior standing or consent of instructor

WCSAM 400

Science Capstone  (by advisor approval)  

2  
IV. Electives 15  
Additional upper-division coursework in MATH (fifteen). Students may apply at most six credits of May term hours toward the upper division elective requirement.    
V. Required Courses from Other Programs 8-10  
PHYS 211 Physics for Scientists and Engineers I and Lab (or 4 or 5 on the AP Physics Exam)   4 MATH 144, co-requisite: MATH 201
Computational Requirement: Choose one option from the following list*      
CMPT 201 Introduction to Computer Science 4  
CMPT 202 Intro to Data Structures 4 CMPT 201 OR CMPT 210

CMPT 190

AND

DATA 360

Learning to Code (Python)

AND

Data Science with Python 

2

CMPT 190 OR CMPT 202

AND

DATA 220

CMPT 190

AND

BIOL/CHEM/PHYS 370

Learning to Code (Python)

AND

Scientific Computing

2

AND

4

PHYS 211 OR MATH 201

AND

PHYS 151

     
Total Hours for the Mathematics Major 65-67  

*Note: "Double-dipping" is allowed for the computational requirement. For example, a Computer Science major can use credit for CMPT 201 or CMPT 202 to meet this requirement. A Data Science minor can use DATA 360 to satisfy this requirement. However, a student cannot use DATA 360 both to satisfy this requirement and receive upper-division elective credit in Section IV above for the MATH major. 

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.

 

Mathematics Minor

Requirement Description Credit Hours Prerequisites
I. Required Courses 20  
DATA 220 Introduction to Statistics  4  
MATH 201 Calculus I (if needed)   4 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 7  
Total Hours for the 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   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.   instructor permission
DATA 350 Statistical Modeling 4 DATA 220
DATA 370 Statistical Learning 4 DATA 350
Other MATH course work as approved by the program chair.      
Total Hours for the 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 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 or

Data and Society or

 

4  

DATA 220

Introduction to Statistics

4  
Total Hours for the 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: