### Course List

Mathematics has a long history and is still developing at a dazzling speed. It may be described, in a nutshell, as a science which provides the language and conceptual backgrounds for various branches of science. The fundamental principles, which lie at the basis of research in natural sciences, social sciences, humanities, engineering, political science, economics, and environmental sciences etc, can often be most efficiently expressed in mathematical terms.

The scope of modern mathematical research is becoming ever wider and more diversified, partly as a result of rapid developments in other sciences and various branches of engineering. While the depth and breadth of scope of pure mathematics are well recognized and historically proven, it is also true that in recent years research in applied mathematics and combinatorial-computational mathematics is picking up momentum at an accelerated pace.

The philosophical goal of our undergraduate program is to produce highly trained individuals who will be able to use their knowledge in mathematics to make significant contributions to the balanced development of the society. With this goal in mind, our curriculum has been designed to enable the students to acquire in-depth knowledge in pure mathematics (including algebra, analysis, geometry, and topology), applied mathematics (including nonlinear analysis, applied statistics, and fluid mechanics), and combinatorial-computational mathematics (including numerical analysis, combinatorics, computer vision, and cryptology). Another of our aims is to train our students so that they are adequately prepared to pursue graduate study at our department or elsewhere.

Our new curriculum, which went into effect in spring 2000, is designed so that the student can choose a program of study with more flexibility. The only required mathematics courses for a Bachelor of Science degree in Mathematics are Math 200, 210, 230, 261, 301, 302, 311, 312, 351, 421 and 426. Additionally, the student has to perform satisfactorily on a comprehensive examination which is based on the selected four required courses with Math 110 and 113 out of the eight required courses. In addition to these courses the student's program of study must include a minimum of 21 credit hours in elective mathematics courses, which may be selected in consultation with an academic advisor to best fit the student's own interests and career goals. Finally, in order to enable the student to learn a subject which is not normally taught at our department, we have instated a course entitled the Independent Study (Math 491), which may be taken individually or by a small group of students, after obtaining the approval of a faculty member who is knowledgeable in that subject and will guide the independent study.

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Grade | Spring | Fall | ||||

Course # | Course Name | Course # | Course Name | |||

1 | Basis Required | MATH110 MATH113 |
Calculus Calculus Lab |
Basis Required Major Required |
MATH112 MATH230 |
Applied Linear Algebra Probability and Statistics |

2 | Major Required Major Required |
MATH200 MATH261 |
Differential Equations Discrete Mathematics |
Major Required Major Required |
MATH210 MATH311 |
Applied complex Variables Analysis I |

3 | Major Required Major Required |
MATH301 MATH312 MATH351 |
Modern Algebra I Analysis II Introduction to Numerical Analysis |
Major Required Major Elective |
MATH302 |
Modern Algebra II |

4 | Major Required | MATH426 | Introduction to Differential Geometry | Major Elective | MATH421 | General Topology |