MATH 214 - Calculus III

3 units (fi 6)(EITHER, 3-0-0)

Sequences and series, convergence tests, and Taylor series. Curves, tangent vectors, and arc length. Applications of partial differentiation. Polar, cylindrical, and spherical coordinates. Multiple integration. Prerequisite: One of MATH 101, 115, 118, 136, 146 or 156. One of MATH 102, 125 or 127 recommended. Note: This course may not be taken for credit if credit has already been obtained in MATH 209 or 217.

MATH 418 - Linear Analysis

3 units (fi 6)(EITHER, 3-0-0)

Classical Banach spaces. Hahn-Banach, open mapping and closed graphs theorems. Hilbert spaces, orthonormal bases. Elements of spectral theory, spectra of compact operators, spectral theorem for compact self-adjoint operators. Prerequisite: MATH 417. Corequisite: MATH 447 or consent of the Department.

MATH 497 - Reading in Mathematics

3 units (fi 6)(EITHER, 3-0-0)

This course is designed to give credit to mature and able students for reading in areas not covered by courses, under the supervision of a staff member. A student, or group of students, wishing to use this course should find a staff member willing to supervise the proposed reading program. A detailed description of the material to be covered should be submitted to the Chair of the Department Honors Committee. (This should include a description of testing methods to be used.) The program will require the approval of both the Honors Committee, and the Chair of the Department. The students' mastery of the material of the course will be tested by a written or oral examination. This course may be taken in Fall or Winter and may be taken any number of times, subject always to the approval mentioned above. Prerequisite: Any 300-level MATH course.

MATH 516 - Linear Analysis

3 units (fi 6)(EITHER, 3-0-0)

Classical Banach spaces. Hahn-Banach, open mapping and closed graphs theorems. Hilbert spaces, orthonormal bases. Elements of spectral theory, spectra of compact operators, spectral theorem for compact self-adjoint operators. Prerequisite: MATH 417. Corequisite: MATH 447.