# Mathematics & Computer Science

### Mathematics Requirements

### Major Requirements:

Required courses:

- MTH 121 Calculus I
- MTH 122 Calculus II
- MTH 223 Calculus III
- MTH 226 Linear Algebra
- MTH 240 Transition to Abstract Mathematics
- Five additional mathematics courses chosen from among MTH 227 Differential Equationsand courses numbered 300 or above and to include:
- Any 100 level Computer Science course
- Mathematics CUE Option (described below)

A major must maintain a 2.000 grade point average in the courses for the major.

### Mathematics CUE Options:

The CUE in mathematics provides each student with the opportunity to engage in an intellectually rigorous experience that draws upon knowledge acquired within the major, while allowing students flexibility to select the type of experience they pursue. Each student who majors in mathematics will select one of the following three options for a senior CUE experience:

a) The successful completion of the course: MTH 353 CUE: Landmarks of Mathematics.

b) The successful completion of the course: MTH 370 CUE: The Art of Problem Solving.

c) The design, execution, and completion of an appropriate research project, involving at most two students, to be supervised by a department faculty member. A project can involve original research initiated at Muhlenberg or it may be a follow-up independent study to extend summer work completed during a Research Experiences for Undergraduates program at another institution. A CUE project must be formally proposed by the student(s) and approved by the department by the end of spring semester of the junior year.

Project requirements will include (but are not limited to) a paper detailing the mathematical work completed and a presentation at an appropriate local/regional/national mathematics meeting outside of Muhlenberg.

Whichever option is chosen, the CUE must be completed during the student’s last two semesters in which he or she registered for classes on campus. A student who takes MTH 353 or MTH 370 previous to these last two semesters will not be able to count such a course as fulfilling the CUE requirement for the major.

For Information about the CUE Research Options click here.

### Honors Program:

At commencement, the Department awards honors in mathematics to qualified students.

The requirements for honors are:

- A GPA in the mathematics major of at least 3.5
- An overall GPA of at least 3.3
- Successful completion of at least two of the following courses:
- Successful completion of at least one 300 level course beyond the major requirements

### Teacher Certification:

Required courses for students seeking certification for teaching mathematics in the secondary schools:

- MTH 121 Calculus I
- MTH 122 Calculus II
- MTH 223 Calculus III
- MTH 226 Linear Algebra
- MTH 240 Transition to Abstract Mathematics
- MTH 326 Abstract Algebra
- MTH 331 Mathematical Statistics I
- MTH 342 Advanced Geometry
- MTH 353 - CUE: Landmarks of Mathematics
- Any 100-level computer science course
- Successful completion of a certification in middle or secondary education, including completing a student teaching smester in mathematics in the senior year.

The student must maintain a 2.50 GPA in courses used to complete the major in order to meet teacher certification requirements.

### Minor in Mathematics Requirements:

Required courses:

At least three more courses chosen from among the following:

- Any 100-level Computer Science course, MTH 119 Statistical Analysis or Mathematics courses numbered 200 or above

Only one of these three courses may be at the 100-level.

The student must maintain a 2.000 grade point average in courses for the minor.

To declare a major or minor in Mathematics, please contact the department secretary, Traci Hilbert at thilbert@muhlenberg.edu.

### Minor in Analytics

Director: Dr. William Gryc, Associate Professor of Mathematics

Analytics is the application of quantitative reasoning to real-world problems. A practitioner of analytics applies mathematical, statistical, and computational theory to solve practical problems that often involve large data sets. Problems that were infeasible in the past due to the size of the data are now feasible due to the increase in computing power. Thus, analytics is quickly changing how businesses, industries, and governments make decisions. A practitioner of analytics needs both a theoretical background in mathematics and statistics to approach problems, as well as computer science knowledge to implement solutions. The goal of this program is to give students a solid foundation in applied mathematics, statistics, and computer science as well as to have them practice applying these skills to problems in fields outside of the mathematical sciences. This program provides flexibility that allows for a variety of student interests and culminates in courses that apply quantitative reasoning to real-world problems.

Required courses:

To minor in analytics, a student must complete seven courses as given below:

- Course with Computer Science I in the title
- MTH 119 - Statistical Analysis 1 course unit
**OR** - MTH 332 - Mathematical Statistics 1 course unit
- MTH 122 - Calculus II 1 course unit
**OR** - MTH 223 - Calculus III 1 course unit
- MTH 226 - Linear Algebra 1 course unit
- MTH 318 - Operations Research 1 course unit

One course from Group A below.

- CSI 111 - Computer Science II 1 course unit
- 200-level statistics course

One course from Group B below.

- ACT 334 - Fraud Examination 1 course unit
- BUS 347 - Marketing Research 1 course unit
- CSI 326 - Artificial Intelligence 1 course unit
- ECN 348 - Game Theory & Applications 1 course unit
- ECN 350 - Econometrics 1 course unit
- FIN 311 - Mathematics for Financial Analysis 1 course unit
- MTH 314 - Applied Mathematics & Modeling 1 course unit

NOTE: The student must maintain a 2.00 grade point average in courses required for the minor. A student cannot simultaneously be declared as both a mathematics minor and an analytics minor, and a student cannot simultaneously be declared as both a statistics minor and an analytics minor. Also, a student cannot simultaneously be declared as both a mathematics major and an analytics minor. However, a mathematics major can declare a concentration in analytics within the mathematics major. Please see the catalog section for Mathematics for more detail.

### Minor in Statistics

Statistics is the science and art of learning from data, including the collection, analysis, and interpretation of data, as well as effective communication and presentation of results relying on data. The statistics minor aims to prepare students in both applied and theoretical statistics. Students will have exposure to articulating research questions and hypotheses, experimental design and effective data collection techniques, processing and analyzing data through R/RStudio, and communicating oral and written results. Students will be introduced to the mathematical foundations of statistics, including probability distributions which are essential for incorporating uncertainty in statistical models. Throughout the required coursework, students will apply concepts to real world problems across multiple disciplines.

Required courses:

To minor in statistics, a student must complete six course as given below:

Required Courses:

- MTH 119 - Statistical Analysis 1 course unit
- MTH 122 - Calculus II 1 course unit
- MTH 219 - Statistical Models 1 course unit
- MTH 331 - Probability 1 course unit

One of the following:

- MTH 332 - Mathematical Statistics 1 course unit
- 200- or 300-level Statistics Course

One of the following:

- Course not already taken in Group A
- BIO 268 - Freshwater Ecology 1 course unit
- BIO 270 - Ecology 1 course unit
- CHM 311 - Analytical Chemistry I 1 course unit
- 100-level Computer Science course in Data Science
- ECN 350 - Econometrics 1 course unit
- PSY 104 - Research Methods in Psychology 1 course unit
- SOC 312 - Quantitative Methods for Social Data 1 course unit

Note: The student must maintain a 2.00 grade point average in courses required for the minor. A student cannot simultaneously declare a mathematics major and a statistics minor. If a student declares a mathematics major and satisfies the requirements of a statistics minor, the student can declare a concentration in statistics. If a student chooses to concentrate/minor in statistics, the student cannot also declare a concentration/minor in mathematics or analytics.