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

Fall 2022 Courses

• MATH 311 - 003-67897 Vector Analysis . Hybrid Instructional Method: Face-to-Face Plus 9:30 am - 10:45 am T, Remote Set Day/Time 9:30 am - 10:45 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. See course web page for further information
• MATH 569 - 001- 72763 Selected Topics in Analysis. Hybrid Instructional Method: Face-to- Face 2:00 pm - 3:15 pm T, Remote (MS Teams) 2:00 pm - 3:15 pm R. See also the Course Information page.

Fall 2022 Office Hours: I will have office hours through Microsoft Teams on M 3:30pm-4:30pm & Th 4:30pm-5:20pm. You can also send me an email to arrange a meeting.

Past Courses

Spring 2022 courses

• MATH439 ST: Intro to Diff Manifold & MATH536 Introduction to Differentiable Manifolds , Time TTh 8:00-9:15.  Prerequisites: Linear Algebra and Calculus III, preferably also MATH431, 322 will be helpful. Course web page.
• MATH 533 Algebraic Topology II & MATH538 Riemannian Geometry II, Time TTh 1400-1515.  Course Web Page

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

Spring 2020 Schedule for Vassilev, D.

• MATH 439 - 001 T: Differential Geometry(3), Time MWF 11:00-11:50, Location: SMLC 356 ,  Course web page.

• MATH 536 001 Introduction to Differentiable Manifolds(3), Time MWF 9:00-9:50, Location SMLC 352. Course web page

Fall 2019 Schedule for Vassilev, D.

• MATH 539 - 001 Selected Topics in Geometry and Topology - 66026 (3), Time MWF 11:00-11:50, Location: SMLC 120 ,  Course web page.

• MATH 431 - 001 Introduction to Topology - 44643 & MATH 535 - 001 Foundations of Topology - 66000(3), Time MWF 14:00-14:50, Location DSH-229. Course web page

Spring 2019 Class Schedule for Vassilev, D.

• MATH536-001 46637 Introduction to Differentiable Manifolds. (3) Time TTh 12:30-13:45, Location CLT-120. Textbook: Introduction to smooth manifolds, J. Lee, Course web page.
• MATH321-001 32505 Linear Algebra. (3), Time TTh 14:00-15:15, Location DSH-228. Textbook: Linear Algebra done wrong, S. Treil, Course web page

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 

• MATH311 002 3363 Vector Analysis, Time MW  1600-1715, Location SMLC-120. Course web page with Syllabus & Homework.
• MATH511 001 34538 Intro To Analysis II, Time MW 1300-1415, Location SMLC-124. Course web page with Syllabus & Homework.

Fall 2016 

• 18798-MATH 510 001 Intro To Analysis. Class time  10:00 am-10:50 pm. Location MITCH-202. Course web page with Syllabus & Homework.
• MATH 264 Calculus III. Class time 8:00-8:50. Location DSH-324. Syllabus & Homework.

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

• MATH 50036-306 / 50036- 506 MW 1600-1715 SMLC-120. College Geometry, Time MW 1600-1715 SMLC-124.  Syllabus and homework.

Spring 2014

• MATH 538 Riemannian Geometry II. Lectures TR 1100-1215 SMLC 124. Syllabus. Course Readings: https://learn.unm.edu/

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

• Math 536 001 Intro Diff Manifolds MWF 1100-1150, CENT-1028. Syllabus and homework.

Fall 2012

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

Spring 2012

• Math 562 001 25493  Func of Cmplx Var II TR 0930-1045 MITCH 218.  Syllabus and HW.    

Spring 2011

• 25493 Math 562 001 Func of Cmplx Var II TR 1230-1345 MITCH 212.  Syllabus and HW

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

• 18738 Math   431 001 Intro to Topology & 24909 Math   535 001 Found of Topology TR 0930-1045 HUM 424 Syllabus and homewor

Spring 2009

• Math  402  001  & Math  502  001 TR  1400-1515  DSH 229, Syllabus and homework
• Math  511  001  TR  1100-1215  HUM 424, Syllabus and homework

Fall 2008

• 32127 Math 401 001 Adv Calculus I   & 18787 Math 501 001 Intro Real Analysis    T R 1400-1515    M H 113, Syllabus and homework
• 18798 Math 510 001 Intro to Analysis I       T R 1100-1215    HUM 428, Syllabus and homework

Spring 2008

• 22747 Math 311 001 Vector Analysis T R 0930-1045  DSH 234 Syllabus and HW
• 18417 Math 180 007 Elements of Calc I T R 1100-1215 DSH 225 Syllabus and HW
• 22748 Math 311 002 Vector Analysis T R 1400-151 MITCH 107 Syllabus and HW