Skip to content Skip to navigation
The University of New Mexico

Dimiter Vassilev

Professor

Email: vassilev@unm.edu

Phone: (505) 277-2136

Fax: (505) 277-5505

Office Location: SMLC 326

Office Hours: 
Monday: 15:30-16:30
Thursday: 14:30-15:30

Research Area/s: 

Analysis

Geometry

Partial Differential Equations

See  www.unm.edu/~vassilev for the most updated class information.

 

Fall  2021 Schedule for Vassilev, D. 

MATH311 Vector Analysis - 67897 - MATH 311 - 003. Hybrid Instructional Method: Face-to-Face Plus 8:00 am - 9:15 am T, Remote Set Day/Time 8:00 am - 9:15 am R Remote Instruction Microsoft Teams. Course Description. Vector algebra, lines, planes; vector valued functions, curves, tangent lines, arc length, line integrals; directional derivative and gradient; divergence, curl, Gauss’ and Stokes’ theorems, geometric interpretations. Prerequisite: Calculus III. Course web page with Syllabus & Homework

Office Hours Fall 2021. I have office hours through Microsoft Teams on Monday 3:30pm-4:30pm and Thursday 2:30pm-3:30pm. You can also send me an email to arrange a meeting.

(Future) Spring 2022 courses

MATH439 ST: Intro to Diff Manifold, Time TTh 8:00-9:15. Description: The main goal of the course is to familiarize you with topological and geometric notions and structures through a gentle introduction to some topics motivated by physics and geometry. Specific topics will include basic topology, smooth manifolds, vector field and their flows, differential forms, Stokes theorem, DeRham theory, Lie groups and algebras, Riemannian and semi-Riemannian metrics, vector and fiber bundles, connections. Some applications will be given to Maxwell's Equations and the Yang-Mills Equation. . Prerequisites: Linear Algebra and Calculus III, preferably also MATH431, 322 will be helpful. Course web page

MATH 533 Algebraic Topology II, Time TTh 1400-1515. Description: Morse theory in finite and infinite dimensions. Applications in geometry and existence of solutions to variational problems and partial differential equations. Course Web Page

Past Courses

Spring 2020 Schedule for Vassilev, D.

Fall 2019 Schedule for Vassilev, D.

Spring 2019 Class Schedule for Vassilev, D.

Fall 2018

  • MATH313-001 44939 Complex Variables for Engineering. (3) Time TTh 12:30-13:45, Location DSH-233.  Description: Theory of functions of a complex variable with application to physical and engineering problems. Although not required, skill in vector analysis will be helpful in taking this course. Prerequisite: 264 and one MATH course 300-level or above Course web page.

  • MATH 539-001 62064 Selected topics Geometry & Topology, Time TTh 14:00-15:15, Location SMLC352. Description:  Course web page.

Spring 2018

  • MATH439-001 40631 ST: Intro to Diff Manifold, Time TTh 8:00-9:15 SMLC-120.  Description:Maxwell's Equations, Manifolds, Vector Fields, Differential Forms and DeRham Theory, Lie groups and Lie Algebras. Basics on Bundles and Connections, Gauge transformations, Holonomy, Curvature and the Yang-Mills Equation. Prerequisites: 264, 321. 322 will be helpful. Course web page.

  • MATH 538-001 44849 Riemannian Geometry II, Time TTh 1230-1345, Location SARAR-107. Description: Continuation of MATH 537 with emphasis on adding more structures. Comparison theorems in Riemannian geometry, Riemannian submersions, Bochner theorems with relation to topology of manifolds, Riemannian Foliations, Complex and Kaehler geometry, Sasakian and contact geometry. Prerequisite: 537. Course web page.

Fall 2017

  • MATH 306-001 59458 College Geometry, Time MW 1600-1715 SMLC-124. Description: An axiomatic approach to fundamentals of geometry, both Euclidean and non-Euclidean. Emphasis on historical development of geometry. (T). Prerequisites: 162 or 215. Course web page with Syllabus & Homework

  • MATH 537-003 60880 Riemannian Geometry I, Time MW 1230-1345, Location SMLC-124. Description: Theory of connections, curvature, Riemannian metrics, Hopf-Rinow theorem, geodesics. Riemannian submanifolds. Prerequisite: 536. Course web page with Syllabus & Homework.

Spring 2017 

Fall 2016 

Spring 2016 

  • MATH 439-001 55949 ST: Intro to Diff Manifold & MATH 536 - 001 51950 Introduction to Differentiable Manifolds. Class time  11:00 am-12:15 pm. Location SMLC 352. Course web page with Syllabus & Homework.

Fall 2015 

  • 44643-MATH 431 001 Intro To Topology & 44644-MATH 535 001 Foundations of Topology MWF 1400-1450  Location Dane Smith Hall DSH-233  Syllabus and Homework.
  • 54094-MATH 579 002 ST: Part Diff Equas 3 MWF  1100-1150 Location Dane Smith Hall DSH126. Syllabus. 

Spring 2015

Spring 2014

Fall 2013

  • Math264 Sections 003 and 004, Calculus III, Lectures MWF 1100-1150 DSH-326. Recitation Sections  003 T 1100-1215 DSH-234 & 004 T 1100-1215 DSH-234. Syllabus and Homework.
  • Math431 Introduction to Topology & Math 535  Foundations of Topology, MWF 900-950, Location SMLC-356 Syllabus and Homework.

Spring 2013

Fall 2012

  • Math 431 Introduction to Topology & Math 535  Foundations of Topology, MWF 1300-1350, Location DSH-327. Syllabus and Homework & WebCT

Spring 2012

Spring 2011

Fall 2010

  • 37221 Math 561 001 Func of Cmplx Var I MWF 1400-1450 HUM 428 Syllabus and HW
  • 39785 Math 180 016 Elements of Calc I MWF 0900-0950 ECON 1002,   Syllabus and HW,   WebCT link for current grades

Spring 2010

  • 30243 Math 536 001 Intro Diff Manifolds MWF 1000-1050 HUM 422 Syllabus and homework .
  • 18497 Math 314 002 Linear Algebra with Applications MWF 1200-1250 MITCH 220.Syllabus and homework.

Fall 2009

Spring 2009

Fall 2008

Spring 2008