Mathematics | Capital University



  • In this section..

    • Majors: Computer Science • Mathematics • Integrated Mathematics • Mathematics: Engineering • Computer Science: Engineering 

      Capital's mathematics program complements the University’s strong liberal arts tradition and provides a solid foundation in classic and contemporary mathematical topics.


      what you'll learn


      Capital offers a traditional mathematics major as well as the integrated mathematics major, which is taken by students who want to teach high school mathematics.

      Mathematics majors typically begin their studies with a two-course sequence in calculus and a course in mathematical proofs. Required courses at the intermediate level include: linear algebra, abstract algebra, mathematical statistics, differential equations and a third course in calculus. 

      Those who intend to teach also complete a college geometry course and a course in the history of mathematics. Many majors elect additional courses dealing with topics such as numerical analysis or combinatorics.  

      During their junior and senior years, students participate in a departmental seminar that features students’ research and presentations. To emphasize the applicability of mathematics and its relation to other disciplines, majors also complete certain supporting courses in the sciences and in computing.

      Explore our course requirements and descriptions in our online course bulletin. 

      how we teach

      Mathematics faculty members at Capital are committed to the University’s mission to provide personalized quality education. This commitment is especially reflected in professors’ willingness to provide individual assistance outside the classroom. Faculty members also are knowledgeable about the appropriate use of computing technology to enhance student learning in mathematics. Computing resources such as graphing calculators and symbolic computational software play an integral role in many mathematics courses.   

      Where You'll Go: Careers and Placement

      Capital's location in the capital city of Columbus allows mathematics majors to take advantage of the city’s business and technology opportunities through internships and part-time employment. Students also may serve as paid tutors and laboratory supervisors on campus.

      Graduates of Capital’s mathematics program have been very successful, whether they have attended graduate school or entered the workforce. Many have gone on to complete graduate degrees in mathematics or related disciplines such as computer science and engineering.

      The fact is, whatever path you choose for your career or your life, you'll need the knowledge and skills to solve problems. A major in mathematics will teach you how. Capital mathematics graduates have been successful in a variety of careers, including teaching, systems analysis, actuarial science, research and development and quality control. Several have attained high-level management positions in their firms.

      Our graduates are employed in positions like: 

      • Secondary School Teacher
      • Research and Development Manager
      • Design Engineer
      • Vice President and Controller
      • Materials Manager
      • Actuarial
      • Computational Finance

      Our graduates work for companies like:

      • Public and private school systems 
      • Eastman Kodak
      • The NutraSweet Company
      • GE Lighting System
      • AT&T Information Systems
      • FirStar Bank
      • Daytronic Corporation
      • IBM
      • AT&T
      • State of Ohio
      • Battelle Memorial Institute
      • Cynergy
      • Sterling
    • Our professors bring out the best in you. We won't lie. They can be tough. But they're also your counselors, your mentors, and your biggest advocates. Meet a few below, or view our department directory.


    • Paula Federico, Ph.D.

      Associate Professor

      Paula Federico

      Mathematics, Computer Science and Physics
      Battelle Hall
      Room 116

      (614) 236-6393

      • Biography

        Paula Federico is originally from Buenos Aires, Argentina and came to the U.S. in 2001 to pursue her Ph. D. She joined the faculty of the Department of Mathematics, Computer Science and Physics at Capital University in 2009. 

        Previously, Paula was a post-doctoral fellow at the University of Tennessee Knoxville and the Mathematical Biosciences Institute at The Ohio State University. Her research interests are in the area of mathematical and computational ecology with applications to population dynamics, management and conservation of natural resources, epidemic/epizootic dynamics, and movement behavior. 
        Paula explains, "It is my goal to help students learn to think clearly, logically, and analytically; to understand the essence of the deductive method and mathematical proof. Mathematics is a required discipline for many students; it is my responsibility to help them understand the importance of mathematics in everyday life, arts, science, and technology. Applications aside, I want to help my students, especially math majors, to see the beauty in mathematics." 

      • Teaches

        Calculus I
        Calculus III
        Differential Equations
        Introduction to Computational Sciences
        Linear Algebra

      • Degrees

        Ecology and Evolutionary Biology, Ph. D
        University of Tennessee

        Applied Statistics, Graduate Certificate
        University of Tennessee

        Mathematics, B. Sc.
        Universidad Nacional del Centro de la Provincia de Buenos Aires, Argentina

      • Publications


        • Titler, M., Maquivar, M.G., Bas, S., Rajala-Schultz, P.J., Gordon, E., McCullough, K., Federico, P., Schuenemann, G.M. (2015) Prediction of parturition in Holstein dairy cattle using electronic data loggers. Journal of Dairy Science 98 (8): 5304–5312. 
        • Federico, P., Lenhart, S., Gross, L, and Ryan, D. (2013) Optimal Control in Individual Based Models: Implications from Aggregated Methods. American Naturalist 181(1):64-77
        • Galvao, K. Federico, P., Schuenemann, G. and DeVries, A. (2012) Economic comparison of reproductive programs for dairy herds using estrus detection, timed artificial insemination, or a combination. Journal of Dairy Science, 96 (4): 2681-2693
        • McCracken, G. F., Westbrook, J. K., Brown, V. A., Eldridge, M., Federico, P., and Kunz, T. H. (2012) Bats Track and Exploits Changes in Insect Pest Populations. PLoS ONE 7(8): e43839
        • Hallam, T.G, and Federico, P. (2011) The Panzootic White-nose Syndrome: An Environmentally Constrained Disease? Transboundary and Emerging Diseases 59(3).
        • Hallam, T.G., Raghavan, A. Kolli, H., Dimitrov, D.T., Federico, P., Qi, H. McCracken, G.F., Betke, M., Westbrook, J.K., Kennard, K., and Kunz, T. H. (2010) Dense and sparse aggregations in complex motion: video coupled with simulation modeling. Ecological Complexity 7: 69-75.
        • Federico, P., Dimitrov, D., McCracken, G. F. (2008) Bat Population Dynamics: Multi-level Model Based on Individuals’ Energetics. Mathematical Biosciences and Engineering Journal 5(4): 743-756.
        • Federico,P., Hallam, T.G. , McCracken, G.F. , Purucker, S.T. , Grant, W.E. , Correa Sandoval, A. N., Westbrook, J.K., Medellín, R.A. Cleveland, C.J. , Sansone, C.G., López Jr., J.D., Betke, M., Moreno-Valdez, A., Kunz, T.H. (2008) Brazilian Free-tailed Bats (Tadarida brasiliensis) as Insect Pest Regulators in Transgenic and Conventional Cotton Crops. Ecological Applications 18(4): 826-838.
        • Hallam, T.G., Raghavan A., Dimitrov, D.T., Federico, P., and Qi, H. (2006) Technology and Simulation of Bat Population Dynamics. Proceedings of Environmental Modelling and Simulation (H. Tian, Editor), pp. 113-117, ACTA Press.
        • Cleveland,C., Betke, M., Federico, P., Frank, J.D., Hallam, T.G., Horn, J., Lopez, J.D., McCracken, G.F., Medellin, R.A., Moreno-Valdez, A., Sansone, C.G., Westbrook, J.K., Kunz, T. H. (2006) Economic value of the pest control service provided by Brazilian free-tailed bats in south –central Texas. Front. Ecol. Environ 4(5):238-243.
        • Federico, P. and Canziani, G. (2005) Modeling the population of Capybara (Hydrochaeris hydrochaeris): A first step towards a management plan. Ecological Modelling 186:111-121, Special issue on Wetlands in Mercosur. 
        • Federico, P. and Lenhart, S. (2004) Book Review: The mathematics of marriage: dynamic linear models by John M. Gottman, James D. Murray, Catherine C. Swanson, Rebecca Tyson, and Kristin R. Swanson, 2002. Bradford Book, Massachusetts Institute of Technology Press. Bulletin of Mathematical Biology 66(5):1459-1461.
        • Ruiz Moreno, D., Federico, P., Canziani, G.A. (2002) Population Dynamics Models Based on Cellular Automata that includes Habitat Quality Indices defined through Remote Sensing. The 29th International Symposium on Remote Sensing of Environment.
        • Ruiz Moreno, D., Federico, P., Canziani, G.A. (2001) AC: Simulación Espacial de la Dinámica de una Población sujeta a Perturbaciones. Anales de la IX RPIC, Trabajos Presentados, Volumen 1: 240-245.
        • Federico, P., and Canziani, G.A. (2000) Population Dynamics trough metapopulation models: When do cyclic patterns appear? Tendencias en Matematica Aplicada e Computacional 1, No. 2:85-99 ISBN: 85-86883-02-06


    • David Reed, Ph.D.


      David Reed

      Mathematics, Computer Science and Physics
      Battelle Hall
      Room 117B


      • Biography

        Dr. David Reed is the creator of the Attendance iOS app and co-author of Data Structures and Algorithms Using Python and C++. Dr. Reed was the co-principal investigator on two National Science Foundation grants — one that created scholarships for computer science, engineering and mathematics scholarships, and another that supported course curriculum and laboratory improvement to develop courses for a computational science minor. He also was co-principal investigator for a grant from the Keck Undergraduate Computational Science Education Consortium.

      • Teaches

        Introduction to Computer Science
        Algorithms and Data Structures I
        Introduction to Unix
        Introduction to Database Systems
        Computer Architecture
        Software Engineering
        Programming Languages
        Algorithms and Data Structures II
        Introduction to Parallel Computing
        Computer Graphics
        Operating Systems
        Scientific Visualization

      • Degrees

        Ph.D. in computer science, The Ohio State University
        Master of Science in computer science, The Ohio State University
        Bachelor of Arts in math and computer science, Wittenberg University

    • Jonathan Stadler

      Professor of Mathematics, Computer Science and Physics

      Jonathan Stadler

      Mathematics, Computer Science and Physics
      Battelle Hall
      Room 125

      (614) 236-6905

      • Biography

        Jon Stadler earned his Ph.D. in algebraic combinatorics in 1997 from The Ohio State University. He arrived at Capital University in 1999 and has served as chair of the Department of Mathematics, Computer Science, and Physics for five years. Dr. Stadler has been very active in the Ohio Section of the Mathematical Association of America, serving as chair of the Program Committee, and currently serves as president of the section. His research interests remain in combinatorics and revolve around the mathematics of juggling and the relation between it and numerous other areas of mathematics. He is an expert in the mathematics of juggling, mathematics of the lottery, and recreational mathematics.

        Dr. Stadler is president of the Ohio Section of the Mathematical Association of America. He also received Friends of Education Award from the Westerville Education Association in 2011 for his work with mathematics in a fifth grade classroom.

      • Teaches

        Calculus I
        Calculus III
        Introduction to Mathematical Proof
        Introduction to Combinatorics
        Quantitative Reasoning
        Discrete Mathematics
        Integrated Mathematics I
        Integrated Mathematics II
        College Algebra
        Intermediate Algebra

      • Degrees

        Ph.D. in mathematics, The Ohio State University
        Bachelor of Arts in education, Bowling Green State University 


    • The People Person

      Student-Success-Math-200x300LeighAnne Given Baker (’81) never imagined working in human resources. It was manufacturing that appealed to her. In college, she spent a summer working at a paper factory and fell for the whole scene.

      “There’s something special to me about manufacturing,” she says. “The sounds. Sights. Lights. Smells. People walking with purpose from place to place. And forklifts moving about.”

      She quickly put her knack for it to good use. After graduating with a Bachelor of Arts degree in math, she worked in several manufacturing positions, starting as an industrial engineer and working her way up to plant manager in the mid-’90s. Baker’s employer at that time, The Timken Company in Canton, Ohio, recognized her ability to motivate and manage people, and selected her for a prestigious one-year master’s in management program at Stanford University. When she returned, they proposed a new direction for her: human resources.

      “I started to warm up to the idea that I could make an impact and contribute in a new way in HR,” she says. It proved to be another natural fit. In 1999, she became director of human resources for Timken’s business units in Europe, Africa and West Asia. The move launched an impressive career spearheading HR programs for thousands of employees around the world.

      Today, as executive vice president and chief human resources officer for Hertz Global Holdings, she continues a decades-long professional mission to create innovative employee programs that result in loyalty and a more positive work environment.

      Driving Change

      Rental car company Hertz is a corporate giant with 10,400 locations in approximately 150 countries. Baker is responsible for 43,000 full-time and 8,000 part-time employees worldwide, and oversees HR policies, compensation and benefits, recruiting and management programs, and employee development. When Hertz recruited her in 2007, the company was at a critical turning point following a split from Ford Motor Company. She’s proud of the way she and the management team helped transform the company since then.

      One of her first major tasks was defining a new recruiting profile, to better identify employees who empathize with customers. She also invested heavily in professional development designing on-the-job training, mentoring programs, and leadership development plans, including one in partnership with The Wharton School.

      Programs developed under Baker’s direction have garnered recognition. In 2011, Hertz won two awards from international business event planner Stamford Global – one for excellence in talent management practices and another for creating value through HR practices. Hertz was also awarded United Healthcare’s Apex Award for its forward-thinking Journey to Better Health initiative, which offers premium discounts to employees participating in wellness and preventive care.

      A former colleague at Baker’s first job says this kind of leadership is no surprise. Even back then, when Baker inherited a difficult labor situation at the plant she managed, she was undaunted, says Kari Groh, Timken’s vice president of communications and public relations.

      “LeighAnne won the workforce over through sheer personal fortitude, with high involvement, a sincere desire to understand and solve underlying issues, and unflagging energy to debunk misperceptions,” Groh says. “Not only is she wicked smart, she drives for results, motivates people to do more than they ever thought possible, and creates an environment where people enjoy the work.”

      A Solid Start

      It all started at Capital, where she majored in math. Well, maybe a little sooner. Baker says even in high school her favorite classes were in applied math – statistics, geometry and trigonometry.

      As a freshman (she was Anne Given then), she clicked with a math professor, Robert Knupke, who became a longtime mentor and friend. Baker graded papers as his teaching assistant, and he helped her prep for job interviews. It was an enduring relationship – they talked several times a year until he died in the early ’90s. Another mentor, religion professor Carl Skrade, posed thought-provoking questions about applying faith in one’s daily life and challenged Baker to choose a career that mattered, she says.

      “He really guided me in so many ways,” she says. “He talked about being a decent human being, how your work should inspire your life, how it shouldn’t be drudgery – all life lessons that stick with you.

      “I received a great academic background,” she says. “I graduated from Capital University and ended up at Stanford. Having smaller class sizes with professors who were true teachers from the heart – there was no better college education.”