Currently viewing 2005-06 bulletin
Faculty: J.D. Phillips (chair), M. Axtell, R. Foote, D. Maharry, 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 students in departments which use mathematics or computer science adequate understanding to know when to use a particular result as well as how to use it;
• 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 or the Computational Mathematics Major. There is a great deal of overlap between these two choices.
Requirements for the Pure Mathematics Major:
1) Calculus I (111), Calculus II (112), Linear Algebra (223), Abstract Algebra (331)
2) Real Analysis (333) or Topology (341)
3) Senior Seminar (400)
4) Electives (excluding Mathematics 003, 106, 107, 108, and 217) to reach the Department's 9-credit minimum
Requirements for the Computational Mathematics Major:
1) Calculus I (111), Calculus II (112), Linear Algebra (223), and Abstract Algebra (331)
2) Differential Equations (224)
3) Numerical Methods (337) or Topics in Computational Mathematics (338)
4) One additional course from 219, 226, 314, 337, and 338
5) Senior Seminar (400)
6) Electives (excluding Mathematics 003, 106, 107, 108, and 217) to reach the Department's 9-credit minimum
Incoming freshmen interested in pursuing mathematics at Wabash College will typically take Math 111 or Math 112 in the fall (depending on placement) and Math 112 or Math 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 Math 331 in the spring of their sophomore year. It is a good idea for all mathematics students to contact one of the mathematics professors.
Requirements for the Minor: Five or more course credits, including Mathematics 111, 112, 223, excluding Mathematics 003, 106, 107, and 108. Mathematics 003 should not be used in an area concentration.
Advanced Placement Credit: Students should take the BC Advanced Placement exam (as opposed to the AB exam) if they have covered the appropriate material. If placed into Mathematics 112 on the basis of the Advanced Placement exam or the departmental exam, credit will be given for Mathematics 111 upon successful completion of Mathematics 112 with a grade of B- or better. If placed into a more advanced course, credit will be given for Mathematics 111 and 112 upon successful completion of Mathematics 224 or 225 with a grade of B- or better.
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.
Course | Title | Credits | Prerequisites |
---|---|---|---|
Mathematics Courses | |||
MAT 003 | Pre-calculus | 1 | Admission to Mathematics 003 is by permission of the department chair only. |
MAT 106 | Topics in Contemporary Mathematics | 1 | No prerequisite. |
MAT 107 | Statistics: Concepts and Controversies | 1 | |
MAT 108 | Introduction to Discrete Structures | 1 | Prerequisite: Good background in high school mathematics. |
MAT 111 | Calculus I | 1 | Prerequisite: Departmental placement examination. |
MAT 112 | Calculus II | 1 | Prerequisite: Mathematics 111, departmental placement examination, AP examination, or permission of the department. |
MAT 217 | Introduction to Statistics | 1 | Prerequisite: Mathematics 111 or equivalent. |
MAT 219 | Combinatorics | 1 | Prerequisite; Mathematics 223 or consent of instructor. Students may not present both Mathematics 108 and Mathematics 219 for credit towads 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. Intermediate. |
MAT 223 | Elementary Linear Algebra | 1 | Prerequisite: Mathematics 112, departmental placement examination, AP examination, or permission of the department. |
MAT 224 | Elementary Differential Equations | 1 | Prerequisite: Mathematics 112 and 223. |
MAT 225 | Multivariable Calculus | 1 | Prerequisite: Mathematics 112 and 223. |
MAT 226 | Operations Research | 1 | Prerequisite: Mathematics 223 or consent of the instructor. |
MAT 227 | Probability and Statistics | 1 | Prerequisite: Mathematics 112 (227 is a prerequisite for 228). |
MAT 228 | Probability and Statistics | 1 | Prerequisite: Mathematics 112 (227 is a prerequisite for 228). |
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 | 1 | Prerequisite: Mathematics 223 or consent of the instructor (331 is a prerequisite for 332). |
MAT 332 | Abstract Algebra | 1 | Prerequisite: Mathematics 223 or consent of the instructor (331 is a prerequisite for 332). |
MAT 333 | Introduction to Functions of a Real Variable | 1 | (333 is a prerequisite for 334). |
MAT 334 | Introduction to Functions of a Real Variable | 1 | (333 is a prerequisite for 334). |
MAT 337 | Introduction to Numerical Analysis | 1 | Prerequisite: Consent of instructor. |
MAT 338 | Topics in Computational Mathematics (CSC 338) | 1 | Prerequisite: Computer Science 111. |
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 377 | Special Topics in Mathematics | 1/2 | |
MAT 387 | Independent Study | 1/2 | Prerequisite: Permission of the department. Credit will be based upon results as judged by the department chair. |
MAT 388 | Independent Study | 1/2 | Prerequisite: Permission of the department. Credit will be based upon results as judged by the department chair. |
MAT 400 | Seminar | 1/2 | Admission in other cases is by permission of the department chair. |
Computer Science Courses | |||
CSC 101 | Introduction to Computer Science | 1 | Prerequisite: None. |
CSC 111 | Introduction to Programming | 1 | Prerequisite: Computer Science 101 or equivalent programming background. |
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 | Prerequisite: Computer Science 112 and Mathematics 108 or 219. |
CSC 338 | Topics in Computational Mathematics (MAT 338) | 1 | Prerequisite: Computer Science 111. |
CSC 341 | Introduction to Automata, Computabiligy, and Formal Languages | 1 | Prerequisite: 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. |