Degree Essentials

Mathematics

Faculty

Associate Professor Thomas C. Bressoud, Chair

Professors Daniel D. Bonar, Michael D. Westmoreland; Associate Professors Lewis D. Ludwig, Matthew Neal, Sarah Rundell; Assistant Professors Wm. Andy Lorenz, May Mei; Visiting Instructor Timothy DeGenero; Academic Administrative Assistant Dee Ghiloni

Departmental Guidelines and Goals

The study of mathematics is a challenging and exciting activity that sharpens logical reasoning and improves problem solving ability. The curriculum is designed so that students can apply these skills to analyze both real-world quantitative questions and fascinating theoretical puzzles.

Students interested in mathematics should take 123-124 followed by 231 and 232 by the end of the sophomore year. Prospective mathematics majors or minors should also take 210 the first semester of the sophomore year. It is recommended that Mathematics students take CS 109, 110, or 111 by the end of their sophomore year.

300-level courses fall into two categories. Foundations courses focus on teaching abstract reasoning and the reading, creation, and writing of rigorous proofs in the study of the foundational structures of mathematics. Currently these courses are MATH 321, 322, 331, and 332. Applied courses, while not devoid of proofs, include a significant study of how mathematical techniques can be used to model and analyze real world problems. Currently, we regularly offer MATH 329, 334, 337, 341, and 357 as applied courses. Other courses, such as MATH 361-362, MATH 363-364, or MATH 400, have variable topics.

Denison offers several research opportunities, including funding for summer projects. Interested students should consult a faculty member as early as possible in the fall semester.

Students interested in taking only one or two courses in Mathematics should choose MATH 102, 121, 122, or 123 or a First Year studies course.

Mathematics Majors

Bachelor of Arts Degree: The "Core" courses consist of MATH 124, 210, 231, 232 and CS 109, 110, or 111. The "Foundations" courses are MATH 321, 322, 331, and 332.

Students who did not receive a 4 or 5 on the Calculus AB advanced placement exam will usually need to take MATH 123 before MATH 124 but may count MATH 123 toward the Math Major (see category IV below).

The minimum requirements for a B.A. are the Core and five distinct courses chosen from the following categories:

  1. MATH 321 or MATH 332.

  2. A second "Foundations" course chosen from MATH 321, 322, 331, or 332.

  3. Two elective 300-level mathematics courses excluding 361-362 and 363-364.

  4. One elective that may be any mathematics or computer science course (excluding MATH/CS 361-362, 363-364, or MATH/CS 199) PHYS 306, or CHEM 342.

Any student who takes MATH 124 and subsequently takes a 100-level math course may not count that course toward elective (category IV) in the Math Major. However, any student who takes a 100-level math course before taking MATH 124 may count that course toward elective (category IV) in the Math Major. Any Computer Science course aside from CS 109, 110, or 111 may count toward elective (category IV) in the Math Major regardless of when the student takes MATH 124.

Bachelor of Science Degree: The "Core" courses consist of MATH 124, 210, 231, 232 and CS 109, 110, or 111. The "Foundations" courses are MATH 321, 322, 331, and 332.

Students who did not receive a 4 or 5 on the Calculus AB advanced placement exam will usually need to take MATH 123 before MATH 124 but may count MATH 123 toward the Math Major (see category IV).

The minimum requirements for a B.S. are the "Core" courses, all four "Foundations" courses, and four elective courses chosen from the following categories:

  1. Three elective 300 or 400-level mathematics courses excluding MATH 361-362 and 363-364.

  2. One elective that may be any mathematics or computer science course (excluding MATH/CS 361-362, 363-364, or MATH/CS 199), PHYS 305, PHYS 306, or CHEM 342.

Mathematics Minor

The minimum requirements for a Mathematics Minor are MATH 124, 210, 231, 232 and an elective that must be CS 109, 110, or 111, or any 200 or 300-level math course excluding 361-362 and 363-364.

Computational Science concentration

Computational Science is the field of study concerned with constructing mathematical models and numerical solution techniques, and using computer algorithms and simulation to analyze and solve scientific, social scientific, and engineering problems. The Computational Science concentration consists of: four core courses (MATH 124, 231, CS 109, 110, or 111, and CS 173), and an additional course at the 200-level or above. This additional course, which may be in another department, must have a strong and persistent mathematical modeling or computing component and must be pre-approved by the Mathematics and Computer Science department. In addition, the student must take a two (2) semester sequence of courses in another department besides Mathematics and Computer Science. A written plan for completing the concentration must be approved by the Mathematics and Computer Science department prior to enrollment in the elective course. In particular, the elective course and cognate requirements above must be chosen consistently with a valid educational plan for the study of Computational Science (as defined above). Any Mathematics major who wishes to complete this concentration must choose a computer science course as their elective course. Any Computer Science major who wishes to complete this concentration must choose a mathematics course for their elective course. A double Mathematics and Computer Science major is not eligible for this concentration.

Additional Points of Interest

It is recommended that a B.A. candidate in Mathematics consider a second major or a strong minor. Economics would be a reasonable second major or minor for students planning to go into business or into an MBA program following graduation. Computer Science would also be a strong second major or minor.

Students who intend to pursue graduate study in mathematics should pursue a Bachelor of Science degree.