Currently viewing 2010-11 bulletin
Faculty: R. Foote (chair), D. Limmer, E. Poffald, P. Thompson, W. Turner, C. Westphal
The Department of Mathematics and Computer Science has as its goals:
- To give all students who take mathematics courses a sense of the nature of mathematics and its place in society;
- To give our majors and minors an understanding of mathematics and computer science, their nature, and uses, to prepare students to become effective users of mathematics and computer science in their careers;
- To prepare future high school teachers of mathematics;
- To give our students interested in continuing to graduate study in mathematics, statistics, or computer science an adequate preparation to succeed in that study.
Mathematics
Mathematics majors may opt for either the Pure Mathematics Major, the Computational Mathematics Major or the Financial Mathematics Major. There is a great deal of overlap between these choices.
Requirements for the Pure Mathematics Major:
1) Calculus I (111) or Calculus I with Pre-Calculus Review (110), Calculus II (112), Linear Algebra (223), Abstract Algebra (331)
2) Real Analysis (333) or Topology (341)
3) Electives to reach the Department’s 9-credit minimum
Requirements for the Computational Mathematics Major:
1) Calculus I (111) or Calculus I with Pre-Calculus Review (110), Calculus II (112), Linear Algebra (223), and Abstract Algebra (331)
2) Computer Science 111. This does not count towards the major, but it is a prerequisite for 337 and 338.
3) Numerical Methods (337) or Topics in Computational Mathematics (338)
4) Electives to reach the Department’s 9-credit minimum
Requirements for the Financial Mathematics Major:
1) Calculus I (111) or Calculus I with Pre-Calculus Review (110), Calculus II (112), Linear Algebra (223), Abstract Algebra (331)
2) Mathematical Finance (251), Mathematical Interest Theory (252), Probability Models I (253), Probability Models II (353), Statistical Models (254)
3) Mathematical Statistics (354) or Regression Models (355)
4) Mathematics electives to reach the department’s 9-credit minimum
Electives may not include 010, 103, 104, 106, or 108.
Additional courses to consider, especially for students who are considering graduate school:
- Pure mathematics: 219, 221, 222, 224, 225, 323, 324, 332, 334, 344
- Computational mathematics: 219, 222, 224, 226, 314, 323, 332
- Financial mathematics: 224, 324, 333
Incoming freshmen interested in pursuing mathematics at Wabash College will typically take Mathematics 111 or Mathematics 112 in the fall (depending on placement) and Mathematics 112 or Mathematics 223 in the spring. Course choices in the fall of the sophomore year will usually depend on the direction the student sees himself headed. Students should plan on taking Mathematics 331 in the spring of their sophomore year. It is a good idea for all mathematics students to discuss their plans with one of the mathematics professors.
Requirements for the Minor: Five or more course credits, including Mathematics 110 or 111, 112, 223, excluding Mathematics 010, 103, 104, 106 and 108. Mathematics 010 may not be used in an area concentration.
An Area of Concentration and High School Teaching licensure in this discipline is awarded by the Teacher Education Program. For licensure information please see the Indiana Teacher Licensing Requirements for Adolescent and Young Adult License section and for information on this specific discipline see the Content Area Course Requirements for Teaching at the Adolescent and Young Adult Licensure Level section.
Computer Science
No major is offered.
Requirements for the minor: The requirements for a minor in computer science are five courses in computer science and one course in mathematics. The computer science courses must be: Computer Science 111 and 112 and three other Computer Science courses. The mathematics course must be Mathematics 108 or 219.
Advanced Placement
- A student who gets a 5 on the AB calculus exam receives immediate credit for Mathematics 111 and is placed into Mathematics 112.
- A student who gets a 4 on the AB calculus exam is placed into Mathematics 112 without immediate credit for Mathematics 111.
- Any student starting in Mathematics 112 (by the AP exam or our internal placement) who gets a B- or better will receive retroactive credit for Mathematics 111.
- A student who gets a 4 or 5 on the BC calculus exam receives immediate credit for Mathematics 111 and 112, and is placed into Mathematics 223.
- A student who gets a 5 on the statistics AP exam receives immediate credit for Mathematics 103 and 104.
Course | Title | Credits | Prerequisites |
---|---|---|---|
MAT 010 | Pre-calculus with an Introduction to Calculus I | 1 | Prerequisite: Admission by department placement only. |
MAT 103 | Probability | 1/2 | |
MAT 104 | Statistics | 1/2 | |
MAT 106 | Topics in Contemporary Mathematics | 1 | |
MAT 108 | Introduction to Discrete Structures | 1 | |
MAT 110 | Calculus I with Pre-calculus Review | 1 | Prerequisite: Mathematics 010 |
MAT 111 | Calculus I | 1 | Prerequisite: Departmental placement examination. |
MAT 112 | Calculus II | 1 | Prerequisite: Mathematics 110 or 111, departmental placement examination, AP examination, or permission of the department. |
MAT 219 | Combinatorics | 1 | Prerequisite: Mathematics 223 or consent of instructor. Students may not present both Mathematics 108 and Mathematics 219 for credit towards graduation. |
MAT 221 | Foundations of Geometry | 1 | Prerequisite: Mathematics 112 or permission of the instructor. |
MAT 222 | Theory of Numbers | 1 | Prerequisite: Mathematics 112 or consent of the instructor. |
MAT 223 | Elementary Linear Algebra | 1 | Prerequisites: Mathematics 112, departmental placement examination, AP examination, or permission of the department. |
MAT 224 | Elementary Differential Equations | 1 | Prerequisites: Mathematics 112 and 223. |
MAT 225 | Multivariable Calculus | 1 | Prerequisites: Mathematics 112 and 223. |
MAT 226 | Operations Research | 1 | Prerequisite: Mathematics 223 or consent of the instructor. |
MAT 251 | Mathematical Finance | 1/2 | Prerequisite: Mathematics 112 (Calculus II) |
MAT 252 | Mathematical Interest Theory | 1/2 | Prerequisite: Mathematics 112 (Calculus II) |
MAT 253 | Probability Models | 1/2 | Prerequisite: Mathematics 112 (Calculus II) |
MAT 254 | Statistical Models | 1/2 | Prerequisite: Mathematics 112 (Calculus II) |
MAT 314 | Modeling with Differential Equations | 1 | Prerequisite: Mathematics 224. |
MAT 323 | Topics in Linear Algebra | 1 | Prerequisite: Mathematics 223 or consent of the instructor. |
MAT 324 | Topics in Differential Equations | 1 | Prerequisite: Mathematics 224 or consent of the instructor. |
MAT 331 | Abstract Algebra I | 1 | Prerequisite: Mathematics 223 or consent of the instructor. |
MAT 332 | Abstract Algebra II | 1 | Prerequisite: Mathematics 331. |
MAT 333 | Introduction to Functions of a Real Variable I | 1 | Prerequisite: Mathematics 223. It is recommended that students take Mathematics 331 before Mathematics 333. |
MAT 334 | Introduction to Functions of a Real Variable II | 1 | Prerequisite: Mathematics 333. |
MAT 337 | Introduction to Numerical Analysis (CSC 337) | 1 | Prerequisite: Computer Science 111 (or permission of the instructor) and Mathematics 223. |
MAT 338 | Topics in Computational Mathematics (CSC 338) | 1 | Prerequisite: Computer Science 111. Some topics may have additional prerequisites. |
MAT 341 | Topology | 1 | Prerequisite: Mathematics 223 or consent of the instructor. |
MAT 344 | Complex Analysis | 1 | Prerequisite: Mathematics 223 or consent of the instructor. |
MAT 353 | Probability Models II | 1/2 | Prerequisite: Mathematics 253 (Probability Models) |
MAT 354 | Mathematical Statistics | 1/2 | Prerequisite: Mathematics 253 (Probability Models) and Mathematics 254 (Statistical Models) |
MAT 355 | Regression Models | 1/2 | Prerequisite: Mathematics 223 (Linear Algebra), Mathematics 253 (Probability Models) and Mathematics 254 (Statistical Models) |
MAT 377 | Special Topics in Mathematics | 1 or 1/2 | |
MAT 387 | Independent Study | 1 or 1/2 | Prerequisite: Permission of the department. |
MAT 388 | Independent Study | 1 or 1/2 | Prerequisite: Permission of the department. |
MAT 400 | Seminar | 1/2 | Prerequisites: Usually taken by mathematics major. Admission in other cases is by permission of the department chair. |
Computer Science Courses | |||
CSC 101 | Introduction to Computer Science | 1 | |
CSC 111 | Introduction to Programming | 1 | Prerequisite: Computer Science 101 or permission of the instructor. |
CSC 112 | Advanced Programming | 1 | Prerequisite: Computer Science 111 or equivalent programming background. |
CSC 211 | Introduction to Data Structure | 1 | Prerequisite: Computer Science 112. |
CSC 271 | Special Topics in Computer | 1/2 | |
CSC 311 | Introduction to Machine Organization | 1 | Prerequisite: Computer Science 112. |
CSC 321 | Programming Languages | 1 | Prerequisite: Computer Science 112. |
CSC 331 | Analysis of Algorithms | 1 | Prerequisites: Computer Science 112 and Mathematics 108 or 219. |
CSC 337 | Introduction to Numerical Analysis (MAT 337) | 1 | Prerequisite: Computer Science 111 (or permission of the instructor) and Mathematics 223. |
CSC 338 | Topics in Computational Mathematics (MAT 338) | 1 | Prerequisite: Computer Science 111. Some topics may have additional prerequisites. |
CSC 341 | Introduction to Automata, Computabiligy, and Formal Languages | 1 | Prerequisites: Computer Science 111 and Mathematics 108 or 219. |
CSC 387 | Independent Study | 1/2 | Prerequisite: Permission of the instructor. |
CSC 388 | Independent Study | 1/2 | Prerequisite: Permission of the instructor. |