Notes

Department of Mathematics

University of Minnesota - Twin Cities

Office: Vincent Hall 270-B

e-mail:  felix077@umn.edu

Fourier Series and Theory of Distributions    

    Notes: Fall 2018 (PDF)

Math-biology:

    MathBook, PDF

    TGF-β-Induced Epithelial-to-Mesenchymal Transition, with Abbigael VanDusen and Elizabeth Wilson, (2017).

Perturbation Methods    

    Notes: Spring 2018 (PDF)

    Problems (PDF)

Excursions in Mass Transfer 

    joint work with Ewnet Gebrehiwot and Scott Hansen 

    Cooling Methods (PDF)

    Lung Preservation (PDF)

    Heat Transfer for a Probe (PDF)

    In Vitro Diagnostics  (PDF)

Real Analysis

    Prelim: Spring 2017

Algebra

Abstract Algebra - Dummit and Foote [3rd]:

§1.1:{9,25}, §1.3:{15,18}, §1.4:{11}, §1.6:{4,6,18}, §1.7:{21,23}, PDF 

§2.1:{6,7}, §2.2:{7,10}, §2.3:{5,16,23}, §2.4:{11,14,15,19}, §2.5:{8}, PDF

§3.1:{14,25,36,42}, §3.2:{9,10,18,21,23}, §3.3:{3,8,9,10}, §3.4:{5}, PDF

§4.1:{1,2,3}, §4.2:{7,9}, §4.3:{6,30}, §4.4:{7,8,9,16}, §4.5:{13,16,30,33,34}, PDF

§5.1:{5}, §5.4:{15}, §5.5:{8},  PDF

§6.3:{4}, PDF

§7.1:{5,12,14,26}, §7.2:{5}, §7.3:{4,13,17,26,28}, §7.4:{8,11,15,19,26,37}, §7.5: {3}, §7.6:{1,2}, PDF

§8.1:{2,3,5,9}, §8.2:{5}, §8.3:{5,8}, PDF

§9,1:{13,14}, §9.2{4,7}, PDF

§10.1:{8,12,18,20}, §10.2:{5,8,13}, §10.3:{5,9,10,11}, PDF

§11.1:{6,7,8,9}, §11.2:{9,11,12,36,37}, §11.3:{2,4}, §11.4:{6}, §11.5:{13}, PDF

§12.1:{4,6}, §12.2:{4,11,18}, §12.3:{16,17,26,32}, PDF

§13.1:{1}, §13.2:{3,8,12,14,16,18}, §13.4:{1,2,3}, §13.5{7,9}, §13.6:{3,4,9}, PDF

§14.2:{3,11,17,18,29,31}, §14.3:{5,10}, §14.6:{2}. PDF

Other

    Solution to the Poisson equation in an Annulus: PDF

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