# Mathematics BS

*Major: **Mathematics*

*Degree Awarded: *Bachelor of Science (BS)

*Calendar Type: Quarter*

Minimum Required Credits: 181.0

Co-op Options:* Three Co-op (Five years); One Co-op (Four years); No Co-op (Four years)*

*Classification of Instructional Programs (CIP) code:* 27.0101

*Standard Occupational Classification (SOC) code:**15-2021*

## About the Program

The mathematics major at Drexel provides a supportive learning environment in which students obtain a firm grounding in the core areas of mathematics and apply this knowledge to problems encountered in a technological society. The Department of Mathematics offers students the option of either a BA or a BS degree.

The Mathematics Department takes pride in offering a balanced and flexible curriculum. Three very different kinds of skills are emphasized in the mathematics major:

### Abstract Reasoning

All students majoring in mathematics take courses that emphasize abstract reasoning. Students read and write proofs, and graduate well prepared to enter a PhD program in mathematics.

### Computing

All students majoring in mathematics take a series of computing courses. This emphasis on computing is one of the distinctive features of the mathematics program at Drexel, and provides students with a competitive advantage in the job market.

### Mathematical Modeling

All students majoring in mathematics take multidisciplinary courses that focus on the interplay between mathematics and an area of application. Students often use electives to focus on an area of personal interest. The Department of Mathematics encourages students to minor in a subject where mathematics is applied. The Department provides an advisor to assist students in selecting electives and planning career paths.

### Additional Information

For more information about this program, please visit the Mathematics web page.

## Degree Requirements

General Education Requirements | ||

CIVC 101 | Introduction to Civic Engagement | 1.0 |

COOP 101 | Career Management and Professional Development ^{*} | 1.0 |

COM 230 | Techniques of Speaking | 3.0 |

ENGL 101 | Composition and Rhetoric I: Inquiry and Exploratory Research | 3.0 |

or ENGL 111 | English Composition I | |

ENGL 102 | Composition and Rhetoric II: Advanced Research and Evidence-Based Writing | 3.0 |

or ENGL 112 | English Composition II | |

ENGL 103 | Composition and Rhetoric III: Themes and Genres | 3.0 |

or ENGL 113 | English Composition III | |

UNIV S101 | The Drexel Experience | 1.0 |

UNIV S201 | Looking Forward: Academics and Careers | 1.0 |

College of Arts and Sciences Core Curriculum | ||

Engaging the Natural World ^{**} | 6.0-8.0 | |

Analyzing Cultures & Histories ^{**} | 6.0-8.0 | |

Understanding Society & Human Behavior ^{**} | 6.0-8.0 | |

Cultivating Global Competence ^{**} | 6.0-8.0 | |

Perspectives in Diversity ^{**} | 3.0-4.0 | |

Computer Science sequence: | 9.0 | |

Computer Science Principles | ||

or CS 164 | Introduction to Computer Science | |

Computer Programming I | ||

Computer Programming II | ||

Any BIO, CHEM, PHYS, or PHEV course | 3.0-4.0 | |

Free electives | 45.0 | |

Mathematics Requirements | ||

MATH 121 | Calculus I ^{***} | 4.0 |

MATH 122 | Calculus II | 4.0 |

MATH 123 | Calculus III | 4.0 |

MATH 200 | Multivariate Calculus | 4.0 |

MATH 201 | Linear Algebra | 4.0 |

MATH 210 | Differential Equations | 4.0 |

MATH 220 [WI] | Introduction to Mathematical Reasoning | 3.0 |

MATH 331 | Abstract Algebra I | 4.0 |

MATH 332 | Abstract Algebra II | 3.0 |

MATH 401 | Elements of Modern Analysis I | 3.0 |

MATH 402 | Elements of Modern Analysis II | 3.0 |

Math Major Electives ^{†} | 40.0 | |

Select a minimum of 40.0 credits from the following: | ||

Combinatorics | ||

Math Competition Problem Solving Seminar | ||

Mathematics of Investment and Credit | ||

Differential Equations II | ||

Numerical Analysis I | ||

Numerical Analysis II | ||

Introduction to Optimization Theory | ||

Probability and Statistics I | ||

Probability and Statistics II | ||

Probability and Statistics III | ||

Mathematical Applications of Symbolic Software | ||

Mathematical Applications of Statistical Software | ||

Techniques of Data Analysis | ||

Actuarial Mathematics | ||

Vector Calculus | ||

Complex Variables | ||

Partial Differential Equations | ||

Linear Algebra II | ||

Introduction to Topology | ||

Mathematical Finance | ||

Introduction to Graph Theory | ||

Cryptography | ||

Introduction to Monte Carlo Methods | ||

Tensor Calculus | ||

Total Credits | 180.0-190.0 |

- *
Students not participating in co-op will take one additional credit of Free Elective instead of COOP 101.

Co-op cycles may vary. Students are assigned a co-op cycle (fall/winter, spring/summer, summer-only) based on their co-op program (4-year, 5-year) and major.

COOP 101 registration is determined by the co-op cycle assigned and may be scheduled in a different term. Select students may be eligible to take COOP 001 in place of COOP 101.

- **
See Core Curriculum List for complete list of course options.

- ***
Math majors must pass MATH 121 with a grade of B or higher.

- †
MATH special topics courses may be substituted for Math Major Electives with departmental permission.

MATH 100, MATH 101, MATH 102, MATH 110, MATH 119, MATH 180, MATH 171, MATH 172, MATH 173, and MATH 239 do not count towards the degree unless approved by the department.

### Writing-Intensive Course Requirements

In order to graduate, all students must pass three writing-intensive courses after their freshman year. Two writing-intensive courses must be in a student's major. The third can be in any discipline. Students are advised to take one writing-intensive class each year, beginning with the sophomore year, and to avoid “clustering” these courses near the end of their matriculation. Transfer students need to meet with an academic advisor to review the number of writing-intensive courses required to graduate.

A "WI" next to a course in this catalog may indicate that this course can fulfill a writing-intensive requirement. For the most up-to-date list of writing-intensive courses being offered, students should check the Writing Intensive Course List at the University Writing Program. Students scheduling their courses can also conduct a search for courses with the attribute "WI" to bring up a list of all writing-intensive courses available that term.

## Sample Plan of Study

### 4 year, no coop

First Year | |||||||
---|---|---|---|---|---|---|---|

Fall | Credits | Winter | Credits | Spring | Credits | Summer | Credits |

CS 150 or 164 | 3.0 | CIVC 101 | 1.0 | CS 172 | 3.0 | VACATION | |

ENGL 101 or 111 | 3.0 | CS 171 | 3.0 | ENGL 103 or 113 | 3.0 | ||

MATH 121 | 4.0 | ENGL 102 or 112 | 3.0 | MATH 123 | 4.0 | ||

UNIV S101 | 1.0 | MATH 122 | 4.0 | MATH 200 | 4.0 | ||

Engaging the Natural World^{*} | 3.0-4.0 | Engaging the Natural World^{*} | 3.0-4.0 | Any BIO, CHEM, PHYS, or PHEV course | 3.0-4.0 | ||

14-15 | 14-15 | 17-18 | 0 | ||||

Second Year | |||||||

Fall | Credits | Winter | Credits | Spring | Credits | Summer | Credits |

COM 230 | 3.0 | MATH 210 | 4.0 | MATH 331 | 4.0 | VACATION | |

MATH 201 | 4.0 | Analyzing Cultures & Histories^{*} | 3.0-4.0 | Cultivating Global Competence^{*} | 3.0-4.0 | ||

MATH 220 | 3.0 | Mathematics (MATH) elective^{**} | 3.0 | Mathematics (MATH) elective^{***} | 4.0 | ||

Analyzing Cultures & Histories^{*} | 3.0-4.0 | Perspectives in Diversity^{*} | 3.0-4.0 | Understanding Society & Human Behavior^{*} | 3.0-4.0 | ||

Free electives | 3.0 | ||||||

16-17 | 13-15 | 14-16 | 0 | ||||

Third Year | |||||||

Fall | Credits | Winter | Credits | Spring | Credits | Summer | Credits |

MATH 332 | 3.0 | MATH 401 | 3.0 | MATH 402 | 3.0 | VACATION | |

Mathematics (MATH) elective^{***} | 4.0 | Cultivating Global Competence^{*} | 3.0-4.0 | UNIV S201 | 1.0 | ||

Understanding Society & Human Behavior^{*} | 3.0-4.0 | Mathematics (MATH) elective^{***} | 3.0 | Mathematics (MATH) electives^{***} | 7.0 | ||

Free electives | 6.0 | Free electives | 6.0 | Free electives | 6.0 | ||

16-17 | 15-16 | 17 | 0 | ||||

Fourth Year | |||||||

Fall | Credits | Winter | Credits | Spring | Credits | ||

Mathematics (MATH) electives^{***} | 6.0 | Mathematics (MATH) electives^{***} | 7.0 | Mathematics (MATH) electives^{***} | 6.0 | ||

Free electives | 8.0 | Free electives | 8.0 | Free electives | 9.0 | ||

14 | 15 | 15 | |||||

Total Credits 180-190 |

- *
See Core Curriculum List for complete list of course options.

- **
Math majors must pass MATH 121 with a grade of B or higher.

- ***
If a student takes both MATH 331 and MATH 401, then one of these can count as a Mathematics Elective. Up to 3 mathematics-related courses from other departments may be substituted for Mathematics Electives with departmental permission. MATH special topics courses may be substituted for Mathematics Electives with departmental permission.

MATH 100, MATH 101, MATH 102, MATH 110, MATH 119, MATH 180, MATH 171, MATH 172, MATH 173, and MATH 239 do not count towards the degree unless approved by the department

### 4 year, 1 coop

First Year | |||||||
---|---|---|---|---|---|---|---|

Fall | Credits | Winter | Credits | Spring | Credits | Summer | Credits |

CS 150 or 164 | 3.0 | CIVC 101 | 1.0 | CS 172 | 3.0 | VACATION | |

ENGL 101 or 111 | 3.0 | COOP 101^{**} | 1.0 | ENGL 103 or 113 | 3.0 | ||

MATH 121^{*} | 4.0 | CS 171 | 3.0 | MATH 123 | 4.0 | ||

UNIV S101 | 1.0 | ENGL 102 or 112 | 3.0 | MATH 200 | 4.0 | ||

Engaging the Natural World^{†} | 3.0-4.0 | MATH 122 | 4.0 | Any BIO, CHEM, PHYS, or PHEV course | 3.0-4.0 | ||

Engaging the Natural World^{†} | 3.0-4.0 | ||||||

14-15 | 15-16 | 17-18 | 0 | ||||

Second Year | |||||||

Fall | Credits | Winter | Credits | Spring | Credits | Summer | Credits |

COM 230 | 3.0 | MATH 210 | 4.0 | MATH 331 | 4.0 | MATH 332 | 3.0 |

MATH 201 | 4.0 | Analyzing Cultures & Histories^{†} | 3.0-4.0 | Cultivating Global Competence^{†} | 3.0-4.0 | Cultivating Global Competence^{†} | 3.0-4.0 |

MATH 220 | 3.0 | Mathematics (MATH) elective^{***} | 3.0 | Mathematics (MATH) elective^{***} | 4.0 | Mathematics (MATH) elective^{***} | 4.0 |

Analyzing Cultures & Histories^{****} | 3.0-4.0 | Perspectives in Diversity^{†} | 3.0-4.0 | Understanding Society & Human Behavior^{†} | 3.0-4.0 | Free electives | 6.0 |

13-14 | 13-15 | 14-16 | 16-17 | ||||

Third Year | |||||||

Fall | Credits | Winter | Credits | Spring | Credits | Summer | Credits |

MATH 401 | 3.0 | MATH 402 | 3.0 | COOP EXPERIENCE | COOP EXPERIENCE | ||

Mathematics (MATH) elective^{***} | 3.0 | UNIV S201 | 1.0 | ||||

Understanding Society & Human Behavior^{†} | 3.0-4.0 | Mathematics (MATH) electives^{***} | 7.0 | ||||

Free electives | 6.0 | Free electives | 6.0 | ||||

15-16 | 17 | 0 | 0 | ||||

Fourth Year | |||||||

Fall | Credits | Winter | Credits | Spring | Credits | ||

Mathematics (MATH) electives^{***} | 7.0 | Mathematics (MATH) electives^{***} | 6.0 | Mathematics (MATH) electives^{***} | 6.0 | ||

Free electives | 9.0 | Free electives | 9.0 | Free electives | 9.0 | ||

16 | 15 | 15 | |||||

Total Credits 180-190 |

- *
Math majors must pass MATH 121 with a grade of B or higher.

- **
Co-op cycles may vary. Students are assigned a co-op cycle (fall/winter, spring/summer, summer-only) based on their co-op program (4-year, 5-year) and major.

COOP 101 registration is determined by the co-op cycle assigned and may be scheduled in a different term. Select students may be eligible to take COOP 001 in place of COOP 101.

- ***
If a student takes both MATH 331 and MATH 401, then one of these can count as a Mathematics Elective. Up to 3 mathematics-related courses from other departments may be substituted for Mathematics Electives with departmental permission. MATH special topics courses may be substituted for Mathematics Electives with departmental permission.

MATH 100, MATH 101, MATH 102, MATH 110, MATH 119, MATH 180, MATH 171, MATH 172, MATH 173, and MATH 239 do not count towards the degree unless approved by the department

- †
See Core Curriculum List for complete list of course options.

### 5 year, 3 coop

First Year | |||||||
---|---|---|---|---|---|---|---|

Fall | Credits | Winter | Credits | Spring | Credits | Summer | Credits |

CS 150 or 164 | 3.0 | CIVC 101 | 1.0 | CS 172 | 3.0 | VACATION | |

ENGL 101 or 111 | 3.0 | COOP 101^{**} | 1.0 | ENGL 103 or 113 | 3.0 | ||

MATH 121^{*} | 4.0 | CS 171 | 3.0 | MATH 123 | 4.0 | ||

UNIV S101 | 1.0 | ENGL 102 or 112 | 3.0 | MATH 200 | 4.0 | ||

Engaging the Natural World^{†} | 3.0-4.0 | MATH 122 | 4.0 | Any BIO, CHEM, PHYS, or PHEV course^{****} | 3.0-4.0 | ||

Engaging the Natural World^{†} | 3.0-4.0 | ||||||

14-15 | 15-16 | 17-18 | 0 | ||||

Second Year | |||||||

Fall | Credits | Winter | Credits | Spring | Credits | Summer | Credits |

COM 230 | 3.0 | MATH 210 | 4.0 | COOP EXPERIENCE | COOP EXPERIENCE | ||

MATH 201 | 4.0 | Analyzing Cultures & Histories^{†} | 3.0-4.0 | ||||

MATH 220 | 3.0 | Cultivating Global Competence^{†} | 3.0-4.0 | ||||

Analyzing Cultures & Histories^{†} | 3.0-4.0 | Mathematics (MATH) elective^{***} | 3.0 | ||||

Perspectives in Diversity^{†} | 3.0-4.0 | ||||||

16-18 | 13-15 | 0 | 0 | ||||

Third Year | |||||||

Fall | Credits | Winter | Credits | Spring | Credits | Summer | Credits |

MATH 331 | 4.0 | MATH 332 | 3.0 | COOP EXPERIENCE | COOP EXPERIENCE | ||

Mathematics (MATH) elective^{***} | 4.0 | Cultivating Global Competence^{†} | 3.0-4.0 | ||||

Understanding Society & Human Behavior^{†} | 3.0-4.0 | Mathematics (MATH) elective^{***} | 3.0 | ||||

Free electives | 4.0 | Understanding Society & Human Behavior^{†} | 3.0-4.0 | ||||

Free elective | 3.0 | ||||||

15-16 | 15-17 | 0 | 0 | ||||

Fourth Year | |||||||

Fall | Credits | Winter | Credits | Spring | Credits | Summer | Credits |

MATH 401 | 3.0 | MATH 402 | 3.0 | COOP EXPERIENCE | COOP EXPERIENCE | ||

Mathematics (MATH) electives^{***} | 3.0 | UNIV S201 | 1.0 | ||||

Free electives | 9.0 | Mathematics (MATH) electives^{***} | 7.0 | ||||

Free electives | 4.0 | ||||||

15 | 15 | 0 | 0 | ||||

Fifth Year | |||||||

Fall | Credits | Winter | Credits | Spring | Credits | ||

Mathematics (MATH) electives^{***} | 7.0 | Mathematics (MATH) electives^{***} | 7.0 | Mathematics (MATH) electives^{***} | 6.0 | ||

Free electives | 8.0 | Free electives | 8.0 | Free electives | 9.0 | ||

15 | 15 | 15 | |||||

Total Credits 180-190 |

- *
Math majors must pass MATH 121 with a grade of B or higher.

- **
Co-op cycles may vary. Students are assigned a co-op cycle (fall/winter, spring/summer, summer-only) based on their co-op program (4-year, 5-year) and major.

COOP 101 registration is determined by the co-op cycle assigned and may be scheduled in a different term. Select students may be eligible to take COOP 001 in place of COOP 101.

- ***
If a student takes both MATH 331 and MATH 401 then one of these can count as a Mathematics Elective. Up to 3 mathematics-related courses from other departments may be substituted for Mathematics Electives with departmental permission. MATH special topics courses may be substituted for Mathematics Electives with departmental permission.

MATH 100, MATH 101, MATH 102, MATH 110, MATH 119, MATH 180, MATH 171, MATH 172, MATH 173, and MATH 239 do not count towards the degree unless approved by the department

- †
See Core Curriculum List for complete list of course options.

## Co-op/Career Opportunities

Mathematicians are employed in a variety of capacities in business, industry, and government. Students can combine courses in economics or finance and mathematics to prepare for careers in the actuarial field, banks, stock exchanges, or finance departments of large corporations or other financial institutions. Students interested in science careers may focus on probability and statistics in order to work for industries like pharmaceutical manufacturers. Many others combine math studies with computer science courses to prepare for careers in information systems or engineering.

Teacher certification is also a career option available through a joint program in mathematics and teacher education.

Visit the Drexel Steinbright Career Development Center for more detailed information on co-op and post-graduate opportunities.

## Dual Degree Bachelor’s Programs

Since applied mathematics plays an important role in many different disciplines, mathematics majors often choose to pursue specialization in a second field of study. Students may choose a dual major that involves completing the requirements of two separate majors or they can opt for a minor, which involves completing the major in one field and a smaller set of courses in another.

Dual majors are common in mathematics/computer science and mathematics/physics. Students interested in a dual major should consult with their advisor or contact the assistant department head. Dual majors in other fields are also possible, but early planning and discussions with advisors is essential.

## Program Level Outcomes

- Demonstrate problems-solving skills in a broad range of significant mathematical contexts
- Understand what constitutes mathematical thinking, and be able to produce and judge the validity of mathematical arguments
- Produce clear and valid proofs
- Demonstrate substantial computer programming skills
- Interact effectively with collaborators in other disciplines
- Present mathematical information clearly, both orally and in writing, in a way that is appropriate for the audience

## Mathematics Faculty

*(Duke University)*

*Associate Department Head, Mathematics*. Professor. Applied analysis and computing for systems of nonlinear partial differential equations, especially free-surface problems in fluid dynamics.

*(University of California at Berkeley)*. Associate Professor. Algebraic combinatorics, representation theory, and complexity theory.

*(Temple University)*. Assistant Teaching Professor.

*(University of Texas at Austin)*. Teaching Professor.

*(Drexel University)*. Associate Teaching Professor. Discrete mathematics and automata theory.

*(Drexel University)*. Associate Teaching Professor.

*(Massachusetts Institute of Technology)*. Assistant Professor. Algebraic Combinatorics, Noncommutative Algebra, Symmetric Functions, Hopf Algebras, Enumerative Combinatorics, Invariant Theory

*(Massachusetts Institute of Technology)*. Associate Professor. Intersection of physics, engineering, applied mathematics and computational science.

*(University of California at Berkeley)*. Associate Teaching Professor. Function theory and operator theory, harmonic analysis, matrix theory.

*(University of Pittsburgh)*. Associate Professor. Biomathematics, dynamical systems, ordinary and partial differential equations and math education.

*(University of Pennsylvania)*

*Undergraduate Advisor*. Professor. Geometry; optics; computer vision.

*(Warsaw University)*. Professor. Probability theory and its applications to analysis, combinatorics, wavelets, and the analysis of algorithms.

*(Duke University)*. Assistant Teaching Professor. Rare Event Simulation, Dynamical Systems, Numerical Analysis and Mathematical Biology

*(Boston University)*. Professor. Ordinary and partial differential equations, mathematical neuroscience.

*(Federal University of Rio de Janeiro)*. Assistant Professor. Analysis of Partial Differential Equations, Fluid Dynamics, Stochastic Processes

*(Rutgers University)*. Professor. Partial differential equations and numerical analysis, including homogenization theory, numerical methods for problems with rough coefficients, and inverse problems.

*(Omsk State University)*. Teaching Professor. Math education; geometrical modeling.

*(Drexel University)*. Assistant Teaching Professor.

*(University of North Carolina)*. Assistant Teaching Professor. Commutative Algebra

*(University of California at Berkeley)*. Associate Professor. Applied mathematics, numerical analysis, symbolic computation, differential geometry, mathematical physics.

*(Drexel University)*. Associate Teaching Professor.

*(University of Pennsylvania)*. Professor. Probabilistic combinatorics, asymptotic enumeration.

*(Rutgers University)*. Associate Professor. Discrete optimization, combinatorics, operations research, graph theory and its application in molecular biology, social sciences and communication networks, biostatistics.

*(Columbia University)*. Associate Professor. Partial differential equations, scientific computing and applied mathematics.

*(University of Kansas)*. Associate Professor. Stochastic Calculus, Large Deviation Theory, Theoretical Statistics, Data Network Modeling and Numerical Analysis.

*(Boston University)*. Associate Teaching Professor.

*(Physical Research Laboratory)*. Instructor.

*(Penn State University)*. Assistant Teaching Professor.

*(Vrije Universiteit, Amsterdam)*. Professor. Matrix and operator theory, systems theory, signal and image processing, and harmonic analysis.

*(Boston University)*

*Department Head*. Professor. Partial and lattice differential equations, specifically nonlinear waves and their interactions.

*(Cornell University)*. Associate Teaching Professor. Dynamical systems, neurodynamics.

*(Stanford University)*. Professor. Multiscale mathematics, wavelets, applied harmonic analysis, subdivision algorithms, nonlinear analysis, applied differential geometry and data analysis.

*(University of South Carolina)*. Assistant Teaching Professor. Functional Analysis, Operator Algebras, Semigroups, Mathematical Physics

## Emeritus Faculty

*(Polytechnic Institute of Brooklyn)*. Professor Emeritus.

*(University of Washington)*. Professor Emeritus. Functional analysis, wavelets, abstract harmonic analysis, the theory of group representations.

*(University of Pennsylvania)*. Professor Emeritus. Functional analysis, C*-algebras and the theory of group.

*(University of Pennsylvania)*. Professor Emeritus. Functional analysis, C*-algebras and group representations, computer science.

*(Temple University)*

*Dean Emeritus*. Professor Emeritus. Mathematics education, curriculum and instruction, minority engineering education.

*(Ohio State University)*. Associate Professor Emeritus. Number theory, approximation theory and special functions, combinatorics, asymptotic analysis.

*(Drexel University)*. Teaching Professor Emerita.

*(University of Pennsylvania)*. Professor Emeritus. Lie algebras; theory, applications, and computational techniques; operations research.

*(University of California at Davis)*. Professor Emeritus. Probability and statistics, biostatistics, epidemiology, mathematical demography, data analysis, computer-intensive methods.

*(University of California at Berkeley)*. Associate Professor Emerita. Applied mathematics, computed tomography, numerical analysis of function reconstruction, signal processing, combinatorics.

*(Courant Institute, New York University)*. Professor Emeritus. Applied mathematics, scattering theory, mathematical modeling in biological sciences, solar-collection systems.

*(Courant Institute, New York University)*. Professor Emeritus. Homotopy theory, operad theory, quantum mechanics, quantum computing.

*(University of Edinburgh)*. Professor Emeritus. Applied mathematics, special factors, approximation theory, numerical techniques, asymptotic analysis.

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