## Veatriki Eleni Vritsiou

## Fall Term 2024 (1890)

### MATH 217 - Honors Calculus III

3 units (fi 6)(FIRST, 4-0-0)

Axiomatic development of the real number system. Topology of Rn. Sequences, limits and continuity. Multi-variable calculus: differentiation and integration, including integration in spherical and polar coordinates. The differential and the chain rule. Taylor's Formula, maxima and minima. Introduction to vector field theory. Prerequisites: One of MATH 102, 125 or 127, and either MATH 118 or MATH 216. Notes: (1) MATH 216 may be accepted as corequisite with consent of the Department. (2) Engineering students will receive a weight of 4.0 units for this course.

LECTURE EA1 (47312)

2024-09-03 - 2024-12-09

MWF 10:00 - 10:50

2024-09-03 - 2024-12-09

R 17:00 - 17:50

LECTURE SA1 (47629)

2024-09-03 - 2024-12-09

MWF 10:00 - 10:50

2024-09-03 - 2024-12-09

R 17:00 - 17:50

### 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.

LECTURE C1 (55324)

2024-09-03 - 2024-12-09

01:00 - 01:00

## Winter Term 2025 (1900)

### MATH 315 - Calculus IV

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

Vector calculus. Line and surface integrals. The divergence, Green's, and Stokes' theorems. Differential forms. Prerequisite: One of MATH 102, 125 or 127, and either MATH 214 or MATH 217. Notes: Credit can be obtained in at most one of MATH 215 and MATH 315. This course may not be taken for credit if credit has already been obtained in MATH 209 or 317.

LECTURE Q1 (72989)

2025-01-06 - 2025-04-09

MWF 09:00 - 09:50

### MATH 317 - Honors Calculus IV

3 units (fi 6)(SECOND, 4-0-0)

Implicit function theorem. Proof of the Change of Variables Theorem. Line integrals. Theorems of Green, Gauss and Stokes in their classical form. Differential forms and Stokes' Theorem in their context. Sequences and series of functions. Uniform convergence. Prerequisite: MATH 217.

LECTURE Q1 (78390)

2025-01-06 - 2025-04-09

MWF 10:00 - 10:50

2025-01-06 - 2025-04-09

R 17:00 - 17:50