Curriculum Vitae

Erik Talvila Mathematics and Statistics [email protected] University of the Fraser Valley 604-504-7441 (office) Abbotsford, British Columbia V2S 7M8 Canada

Place of birth: Toronto, Canada. My Erd¨osnumber is 3.

Education

• Ph.D. University of Waterloo, Applied Mathematics. January, 1997. Supervisor: D. Siegel. Thesis title: Growth estimates and Phragm´en-Lindel¨ofprinciples for half space problems.

• M.Sc. University of Western Ontario, Applied Mathematics. September, 1991. Supervisor: D. Naylor. Thesis title: A finite Bessel transform.

• B.Sc. University of Toronto, Mathematics and Physics. May, 1988.

Employment history

• 2014 to present, Associate Professor; 2005-2014, University College Professor; 2003- 2005, Probationary Faculty; Mathematics and Statistics, University of the Fraser Valley.

• July 2000 to July 2003, Visiting Assistant Professor, Mathematical and Statistical Sciences, University of Alberta.

• August 1998 to July 2000, NSERC Postdoctoral Fellow, Mathematics, University of Illinois at Urbana–Champaign.

• September 1997 to July 1998, Lecturer, Applied Mathematics, University of Western Ontario.

• January 1997 to September 1997, Assistant Professor, Applied Mathematics, Uni- versity of Waterloo.

• January 1993 to December 1997, Part time lecturer: University of Waterloo, Wilfrid Laurier University, Wichita State University.

Publications in refereed journals UFV student authors in bold face.

29. Erik Talvila, The continuous primitive integral in the plane, Real Analysis Exchange, 20(2020), 283–326. Curriculum Vitae - Erik Talvila 2

28. Erik Talvila, Fourier transform inversion using an elementary differential equation and a contour integral, American Mathematical Monthly, 126(2019), 717–727.

27. Cameron Grant and Erik Talvila, Elementary numerical methods for double inte- grals, Minnesota Journal of Undergraduate Mathematics, 4(2018-2019), 1–19.

26. Erik Talvila, Higher order corrected trapezoidal rules in Lebesgue and Alexiewicz spaces, Journal of Classical Analysis, 8(2016), 77–90.

25. Erik Talvila, The one-dimensional heat equation in the Alexiewicz norm, Advances in Pure and Applied Mathematics, 6(2015), 13–37.

24. Erik Talvila, The Lp primitive integral, Mathematica Slovaca, 64(2014), 1497–1524.

23. Seppo Heikkil¨aand Erik Talvila, Distributions, their primitives and integrals with applications to distributional differential equations, Dynamic Systems and Applica- tions, 22(2013), 207–249.

22. Erik Talvila, Trigonometry of The Gold-Bug, Mathematical Gazette, 97, Number 538, March 2013, 124–127.

21. Erik Talvila and Matthew Wiersma, Optimal error estimates for corrected trape- zoidal rules, Journal of Mathematical Inequalities, 6(2012), 431–445.

20. Erik Talvila and Matthew Wiersma, Simple derivation of basic quadrature for- mulas, Atlantic Electronic Journal of Mathematics, 5(2012), 47–59.

19. Erik Talvila, Integrals and Banach spaces for finite order distributions, Czechoslovak Mathematical Journal, 62(2012), 77–104.

18. Erik Talvila, Fourier series with the continuous primitive integral, Journal of Fourier analysis and applications, 18(2012), 27–44.

17. Erik Talvila, The regulated primitive integral, Illinois Journal of Mathematics, 53(2009), 1187–1219.

16. Erik Talvila, Convolutions with the continuous primitive integral, Abstract and Ap- plied Analysis (2009), Art. ID 307404, 18 pp.

15. Erik Talvila, The distributional Denjoy integral, Real Analysis Exchange 33(2008), 51–82.

14. Erik Talvila, Continuity in the Alexiewicz norm, Mathematica Bohemica 131(2006), 189–196.

13. Erik Talvila, Estimates for Henstock–Kurzweil Poisson integrals, Canadian Mathe- matical Bulletin 48(2005), 133–146. Curriculum Vitae - Erik Talvila 3

12. Erik Talvila, Estimates of the remainder in Taylor’s theorem using the Henstock– Kurzweil integral, Czechoslovak Mathematical Journal 55(130)(2005), 933–940.

11. Peter A. Loeb and Erik Talvila, Lusin’s Theorem and Bochner integration, Scientiae Mathematicae Japonicae 60(2004), 113–120.

10. Parasar Mohanty and Erik Talvila, A product convergence theorem for the Henstock– Kurzweil integral, Real Analysis Exchange 29(2003/2004), 199–204.

9. Erik Talvila, Henstock–Kurzweil Fourier transforms, Illinois Journal of Mathematics 46(2002), 1207–1226.

8. David Siegel and Erik Talvila, Sharp growth estimates for modified Poisson integrals in a half space, Potential analysis 15(2001), 333–360.

7. Erik Talvila, Rapidly growing Fourier integrals, American Mathematical Monthly 108(2001), 636–641.

6. Erik Talvila, Necessary and sufficient conditions for differentiating under the integral sign, American Mathematical Monthly 108(2001), 544–548.

5. Erik Talvila, Some divergent trigonometric integrals, American Mathematical Monthly 108(2001), 432–436.

4. Peter A. Loeb and Erik Talvila, Covering theorems and Lebesgue integration, Sci- entiae Mathematicae Japonicae 53(2001), 209–221.

3. Erik Talvila, Limits and Henstock integrals of products, Real Analysis Exchange 25(1999/2000), 907–918.

2. David Siegel and Erik Talvila, Pointwise growth estimates of the Riesz potential, Dynamics of Continuous, Discrete and Impulsive Systems 5(1999), 185–194.

1. David Siegel and Erik Talvila, Uniqueness for the n-dimensional half space Dirichlet problem, Pacific Journal of Mathematics 175(1996), 571–587.

Other publications

15. Erik Talvila, I had to call in a mathematician, Mathematical Intelligencer 41(2019) 43.

14. Erik Talvila, You know you’re a mathematician when..., American Mathematical Monthly 125(2018), 714.

13. Erik Talvila, Folk Music Festivals and Mathematics Conferences, Mathematical In- telligencer 37(2015), 39–40.

12. Erik Talvila, Review of A Garden of Integrals, American Mathematical Monthly 116(2009), 90–94. Curriculum Vitae - Erik Talvila 4

11. Erik Talvila, Characterizing integrals of Riemann integrable functions, Real Analysis Exchange 33(2008), 487. 10. Erik Talvila, Ralph Henstock: research summary, Scientiae Mathematicae Japonicae 67(2008), 11–12. 9. Erik Talvila, The regulated primitive integral on the real line, Real Analysis Ex- change 2006, 30th Summer Symposium Conference, 35–38. 8. Erik Talvila, Distributional integrals on the real line, Real Analysis Exchange 2005, 29th Summer Symposium Conference, 7–8. 7. Erik Talvila, Covering theorems and integration, Real Analysis Exchange 2004, 28th Summer Symposium Conference, 41–47. 6. Erik Talvila, Estimates of Henstock/Kurzweil Poisson integrals, Real Analysis Ex- change 2002, 26th Summer Symposium Conference, 47–51. 5. Erik Talvila, Half plane Dirichlet and Neumann problems, Real Analysis Exchange 2001, 25th Summer Symposium Conference. 4. Patrick Muldowney and Erik Talvila (eds.), AMS Special Session on Nonabsolute Integration, University of Toronto (2000) http://www.emis.de/proceedings/index.html 3. Erik Talvila, Nonabsolutely convergent Poisson integrals, AMS Special Session on Nonabsolute Integration, University of Toronto (2000) http://www.emis.de/proceedings/index.html 2. Erik Talvila, Some divergent integrals and the Riemann–Lebesgue lemma, Real Anal- ysis Exchange 2000, 24th Summer Symposium Conference, 161. 1. Erik Talvila, Limit theorems for products of Henstock integrable functions, Real Analysis Exchange 1999, 23th Summer Symposium Conference. Real Analysis Ex- change 25(1999/2000), 17–18. Research interests • non–absolute integration (Henstock–Kurzweil integrals and distributional integrals) with applications to differential equations and integral transforms • Fourier analysis • numerical integration Talks I have given over 50 talks at international conferences, colloquia and seminars and have addressed faculty, graduate, undergraduate and high school students. Here are most of the talks I have given over the past years. Curriculum Vitae - Erik Talvila 5

• “The Lp primitive integral” October 23, 2019, International Online Seminar M´exico– Czech Republic–Canada–Brazil, Monterrey, M´exico.

• “How large is a conditionally convergent series or integral?” April 21, 2018, Math- ematical Association of America, Seattle University.

• “The heat equation with the continuous primitive integral” July 25, 2017, Mathe- matical Congress of the Americas, Montr´eal.

• “What is an algorithm?” February 21, 2017, Microlecture, University of the Fraser Valley.

• “Henstock–Kurzweil integrals” March 11, 2016, Math Club, University of the Fraser Valley, Abbotsford.

• “Continuous functions on the extended real plane” January 6, 2016, Mathematical Association of America, Seattle.

• “Applications of the Alexiewicz norm” January 15, 2014, Mathematical Association of America, Baltimore.

• “Distributional solutions of the heat equation” November 19, 2013, Applied Math- ematics Seminar, University of Arizona, Tucson.

• “Distributions” November 12, 2012, Math Club, University of the Fraser Valley.

• “Fourier series with the continuous primitive integral” June 27, 2012, XXXVI Sum- mer Symposium in Real Analysis, Berks College, Pennsylvania State University, Reading, Pennsylvania.

• “Research tools in mathematics and statistics” January 23, 2012, Math Club, Uni- versity of the Fraser Valley.

• “A simple derivation of the trapezoidal rule for numerical integration” January 6, 2012, Mathematical Association of America, Boston.

• “Integration of distributions” November 23, 2011, Microlecture, University of the Fraser Valley.

• “Fourier series with the continuous primitive integral” November 19, 2010, 24th Auburn mini-conference in harmonic analysis, Auburn, Alabama.

• “Distributional integrals” October 16, 2010, Colloquium on differential equations and integration theory, Kˇrtiny, Czech Republic.

• “Convolutions with the continuous primitive integral” July 14, 2010, XXXIV Sum- mer Symposium in Real Analysis, College of Wooster, Wooster, Ohio. Curriculum Vitae - Erik Talvila 6

• “The continuous primitive integral” April 4, 2009, Mathematical Association of America, Central Washington University, Ellensberg.

• “Math on YouTube” November 10, 2008, Math Club, University of the Fraser Valley.

• “Banach lattice for distributional integrals” June 8, 2008, XXXII Summer Sympo- sium in Real Analysis, Chicago State University.

• “Integration” March 18, 2008, NSERC lecture series, University of the Fraser Valley.

• “Distributional integrals” January 7, 2008, Mathematical Association of America, San Diego.

• “The regulated integral on the real line” June 2006, XXX Summer Symposium in Real Analysis, University of North Carolina, Asheville.

• “Distributional integrals on the real line” June 22, 2005, XXIX Summer Symposium in Real Analysis, Whitman College, Walla Walla, Washington.

• “The Morse covering theorem and integration” July 16, 2004, 11th Meeting on Real Analysis and Measure Theory, Hotel Terme, Ischia, Italy.

• “Covering Theorems and Integration” June 2004, XXVIII Summer Symposium in Real Analysis, Slippery Rock University, Slippery Rock, Pennsylvania.

• “Distributional integrals: descriptive and Riemann sum definitions” April 3, 2004, American Mathematical Society, University of Southern California, Los Angeles.

• “The distributional Denjoy integral” June 15, 2003, Canadian Mathematical Society, University of Alberta.

• “Henstock–Kurzweil Fourier transforms” March 11, 2003, University of Missouri, Kansas City.

• “Conditionally convergent Fourier transforms” November 6, 2002, Approximation theory seminar, University of Alberta.

• “Nonabsolutely convergent Fourier transforms” August 20, 2002, University of Wa- terloo.

• “Asymptotics of Fourier transforms” June 6, 2002, University College of the Fraser Valley.

• “The Dirichlet problem with Henstock/Kurzweil boundary data” June 26, 2002, XXVI Summer Symposium on Real Analysis, Washington and Lee University, Lex- ington, Virginia.

• “Application of the Henstock–Kurzweil integral to the half plane Dirichlet problem” May 4, 2002, American Mathematical Society, Universit´ede Montr´eal. Curriculum Vitae - Erik Talvila 7

• “Henstock/Kurzweil Fourier transforms” March 22, 2002, Spring Mini-Conference on Real Analysis, San Bernardino State University, San Bernardino, California.

• “Pointwise Fourier inversion without the Riemann-Lebesgue Lemma” October 5, 2001, American Mathematical Society, Chattanooga, Tennessee.

• “Half plane Dirichlet and Neumann problems” May 26, 2001, XXV Summer Sym- posium in Real Analysis, Weber State University, Ogden, Utah.

• “A survey of nonabsolute integration” May 3, 2001, Colloquium, University of Illi- nois at Urbana–Champaign.

• “Nonabsolutely convergent Poisson integrals” September 24, 2000, American Math- ematical Society, University of Toronto.

• “Covering theorems and Lebesgue integration” September 1, 2000, Summer School on Geometric and Dynamical Aspects of Measure Theory, R´evf¨ul¨op,Hungary.

• “Some divergent integrals and the Riemann–Lebesgue lemma” May 25, 2000, XXIV Summer Symposium in Real Analysis, University of North Texas, Denton.

• “Two applications of finite sums of spherical harmonics” January 10, 2000, San Diego Symposium on Asymptotics and Applied Analysis, San Diego State Univer- sity.

• “Some divergent integrals and the Riemann–Lebesgue lemma” December 9, 1999, Analysis Seminar, University of Illinois at Urbana–Champaign.

• “Limit theorems for products of Henstock integrable functions” June 21, 1999, XXIII Summer Symposium in Real Analysis,L´odzUniversity, Poland.

• “Pointwise Growth Estimates for Riesz Potentials” January 8, 1999, Conference on Singular and Oscillatory Integrals, University of Wisconsin, Madison.

• “Pointwise Growth Estimates for Riesz Potentials” November 12, 1998, Graduate Student Seminar, University of Illinois at Urbana–Champaign.

• “Introduction to non-absolute integration” October 22, 1998, Analysis Seminar, University of Illinois at Urbana–Champaign.

• “Growth estimates for Newtonian potentials” July 14, 1998, Society for Industrial and Applied Mathematics Annual General Meeting, University of Toronto.

• “Infinitely large numbers” March 24, 1998, High School Contest Problems Group, University of Western Ontario.

• “Phragm´en-Lindel¨ofprinciples and elliptic differential equations” November 25, 1997, Department of Mathematics Seminar, University of Western Ontario. Curriculum Vitae - Erik Talvila 8

• “Finite sums of spherical harmonics and the unique continuation problem for the Schr¨odingerequation” November 11, 1997, Applied Mathematics Colloquium, Uni- versity of Western Ontario.

• “Growth estimates for modified Poisson integrals” September 28, 1997, American Mathematical Society, Universit´ede Montr´eal.

• “Growth estimates for the Riesz potential” (abstract only) August 4, 1997, Inter- national Conference on Differential Equations and Dynamical Systems, University of Waterloo.

• “Integrals that depend on a parameter” July 9, 1997, Applied Mathematics/Pure Mathematics Club, University of Waterloo.

• “The Poisson integral for the half space Laplace equation” October 22, 1996, Math- ematics Colloquium, Wilfrid Laurier University, Waterloo, Ontario.

• “Modified Poisson integrals in a half space” June 11, 1996, Applied Mathematics Colloquium, University of Western Ontario.

• “A new Phragm´en-Lindel¨ofprinciple for the half space Dirichlet problem” January 19, 1995, Differential Equations Seminar, University of Waterloo.

• “A Phragm´en-Lindel¨ofprinciple for elliptic partial differential equations” March 7, 1994, “A new Phragm´en-Lindel¨ofprinciple” April 4, 1994, Mathematics Colloquium, Wichita State University.

• “Uniqueness for the half space Dirichlet problem” October 15, 1993, Mathematics Seminar, University of Alberta.

• “Uniqueness for the n-dimensional half space Dirichlet problem” June 6, 1993, Inter- national Symposium on Comparison Methods and Stability Theory, Fields Institute, Waterloo.

Conference organisation

• Mathematical Congress of the Americas, Advances in Analysis, Partial Differential Equations and Related Applications. July 2017, Montr´eal(with Tepper Gill and Marcia Federson).

• Mathematical Association of America Joint Meeting, Topics and Techniques for Teaching Real Analysis. January 2016, Seattle (with Paul Musial, Jimmy Peterson and Robert Vallin).

• Mathematical Association of America Joint Meeting, Topics and Techniques for Teaching Real Analysis. January 2014, Baltimore (with Paul Musial, Jimmy Peter- son and Robert Vallin). Curriculum Vitae - Erik Talvila 9

• Mathematical Association of America Joint Meeting, Topics and Techniques for Teaching Real Analysis. January 2012, Boston (with Paul Musial, Jimmy Peterson and Robert Vallin).

• Mathematical Association of America Joint Meeting, Topics and Techniques for Real Analysis. January 2008, San Diego (with Jimmy Peterson and Robert Vallin).

• Canadian Mathematical Society, Symposium on Real Analysis. June 2003, Univer- sity of Alberta, Edmonton.

• American Mathematical Society, Special Session on Nonabsolute Integration. Septem- ber 2000, Toronto (with Patrick Muldowney). The proceedings, edited P. Mul- downey and E. Talvila, have been published by The Electronic Library of Mathe- matics. http://www.emis.de/proceedings/index.html

Teaching Experience Since 1994 I have taught at seven universities. This includes pre-calculus, linear algebra, first and second year calculus, discrete mathematics, business mathematics, ordinary and partial differential equations, real and complex analysis, metric spaces, Fourier analysis, and quantum mechanics. These courses have ranged from elementary level for general students to advanced level for mathematics majors. Class sizes run from 2 to 150. I have taught one correspondence course, online courses, and have taught students of mathemat- ics, business, education, science and engineering. I have taught graduate courses at the Universities of Alberta and Illinois and supervised one M.Sc. thesis.

Undergraduate

93. University of the Fraser Valley, Fall 2020. M265 Transition to advanced mathemat- ics.

92. University of the Fraser Valley, Fall 2020. M444 Metric spaces.

91. University of the Fraser Valley, Fall 2020. M499 Honours Supplement.

90. University of the Fraser Valley, Winter 2019. M265 Transition to advanced mathe- matics.

89. University of the Fraser Valley, Winter 2019. M440 Fourier analysis.

88. University of the Fraser Valley, Winter 2018. M444 Metric spaces.

87. University of the Fraser Valley, Fall 2017. M255 Differential equations.

86. University of the Fraser Valley, Winter 2017. M141 Business calculus.

85. University of the Fraser Valley, Winter 2017. M499 Honours Supplement.

84. University of the Fraser Valley, Winter 2017. M221 Linear algebra. Curriculum Vitae - Erik Talvila 10

83. University of the Fraser Valley, Fall 2016. M480 Reading and writing in mathemat- ics.

82. University of the Fraser Valley, Winter 2016. M265 Transition to advanced mathe- matics.

81. University of the Fraser Valley, Winter 2016. M440 Fourier analysis.

79.,80. University of the Fraser Valley, Fall 2015. M211 Advanced calculus(2).

78. University of the Fraser Valley, Fall 2015. M340 Introduction to analysis.

77. University of the Fraser Valley, Winter 2015. M095 Pre-calculus.

76. University of the Fraser Valley, Winter 2015. M265 Transition to advanced mathe- matics.

75. University of the Fraser Valley, Fall 2014. M141 Business calculus.

74. University of the Fraser Valley, Fall 2014. M211 Advanced calculus.

73. University of the Fraser Valley, Winter 2013. M095 Pre-calculus.

72. University of the Fraser Valley, Winter 2013. M141 Business calculus.

71. University of the Fraser Valley, Winter 2013. M440 Fourier analysis.

69.,70. University of the Fraser Valley, Fall 2012. M141 Business calculus(2).

68. University of the Fraser Valley, Winter 2012. M095 Pre-calculus.

67. University of the Fraser Valley, Winter 2012. M141 Business calculus.

66. University of the Fraser Valley, Fall 2011. M141 Business calculus.

65. University of the Fraser Valley, Fall 2011. M340 Introduction to analysis.

64. University of the Fraser Valley, Summer 2011. M112 Calculus.

63. University of the Fraser Valley, Winter 2010. M095 Pre-calculus.

62. University of the Fraser Valley, Winter 2010. M265 Transition to advanced mathe- matics.

61. University of the Fraser Valley, Winter 2010. M444 Metric spaces.

60. University of the Fraser Valley, Fall 2009. BUS 162 Mathematical methods for business.

59. University of the Fraser Valley, Fall 2009. M340 Introduction to analysis. Curriculum Vitae - Erik Talvila 11

58. University College of the Fraser Valley, Winter 2009. M095 Pre-calculus.

57. University College of the Fraser Valley, Winter 2009. M265 Transition to advanced mathematics.

56. University College of the Fraser Valley, Fall 2008. M094 Pre-calculus.

55. University College of the Fraser Valley, Fall 2008. M265 Transition to advanced mathematics.

54. University College of the Fraser Valley, Fall 2008. M440 Fourier analysis.

53. University College of the Fraser Valley, Winter 2008. M095 Pre-calculus.

52. University College of the Fraser Valley, Winter 2008. M112 Calculus.

51. University College of the Fraser Valley, Fall 2007. M111 Calculus.

50. University College of the Fraser Valley, Fall 2007. M255 Differential equations.

49. University College of the Fraser Valley, Fall 2007. M340 Introduction to analysis.

48. University College of the Fraser Valley, Winter 2007. M095 Pre-calculus.

47. University College of the Fraser Valley, Winter 2007. M112 Calculus.

46. University College of the Fraser Valley, Fall 2006. M094 Pre-calculus.

45. University College of the Fraser Valley, Fall 2006. M255 Differential equations.

44. University College of the Fraser Valley, Fall 2006. M444 Metric spaces.

43. University College of the Fraser Valley, Winter 2006. M095 Pre-calculus.

42. University College of the Fraser Valley, Winter 2006. M112 Calculus.

41. University College of the Fraser Valley, Winter 2006. M440 Fourier analysis.

40. University College of the Fraser Valley, Fall 2005. M094 Pre-calculus.

39. University College of the Fraser Valley, Fall 2005. M111 Calculus.

38. University College of the Fraser Valley, Fall 2005. M255 Differential equations.

37. University College of the Fraser Valley, Winter 2005. M095 Pre-calculus.

36. University College of the Fraser Valley, Winter 2005. M214 Introduction to analysis.

35. University College of the Fraser Valley, Fall 2004. M094 Pre-calculus.

34. University College of the Fraser Valley, Fall 2004. M110 Pre-calculus. Curriculum Vitae - Erik Talvila 12

33. University College of the Fraser Valley, Fall 2004. M255 Differential equations.

32. University College of the Fraser Valley, Winter 2004. M255 Differential equations. 15 students.

31. University College of the Fraser Valley, Winter 2004. M320 Analysis. 8 students.

30. University College of the Fraser Valley, Fall 2003. M094 Pre-calculus. 12 students.

29. University College of the Fraser Valley, Fall 2003. M111 Calculus I. 35 students.

28. University College of the Fraser Valley, Fall 2003. M112 Calculus II. 35 students.

26. University of Alberta, Fall 2002. M209 Calculus III. 90 students.

25. University of Alberta, Fall 2002. M222 Introduction to discrete mathematics. 90 students.

24. University of Alberta, Winter 2002. M114 Intermediate Calculus I. 75 students.

22.,23. University of Alberta, Fall 2001, 2000. M300 Advanced boundary value problems I. 90 students.

19.-21. University of Alberta, Winter 2003, 2002, 2001. M309 Mathematical methods for electrical engineers. 90 students.

18. University of Alberta, Fall 2000. M114 Elementary Calculus I. 90 students.

16. University of Illinois at Urbana–Champaign, Fall 1998. M285 Differential equations and orthogonal functions. This was taught using Mathematica as part of the UIUC Calculus and Mathematica program. There were 30 students in my section.

15. University of Western Ontario, Winter 1998. AM356 Advanced quantum mechanics. 3 students.

11.-14. University of Western Ontario, Fall 1997 and Winter 1998. AM20 Calculus. I had two sections of this multi–section, general level course. Class sizes were 25 and 85.

10. University of Western Ontario, Fall 1997. AM376 Complex analysis and partial differential equations for electrical engineers. 50 students.

9. University of Waterloo, Spring 1997. M136 Linear algebra for mathematics majors. Class size 150, a multi–section course.

8. University of Waterloo, Winter 1997. M138 Calculus for mathematics majors. Class size 120, a multi–section course.

6.,7. Wilfrid Laurier University, Fall 1996. M130 Calculus for business students. I taught two sections of this multi–section course. Each class had about 90 students. Curriculum Vitae - Erik Talvila 13

4.,5. University of Waterloo, Spring 1996 and Fall 1996. AM351 Ordinary differential equations. This was a single section course, enrollment 25.

3. University of Waterloo, Winter 1996. M220A Advanced calculus (correspondence). I corresponded with students by mail, telephone and email.

2. University of Waterloo, Spring 1995. M237 Advanced calculus for mathematics majors. A single section course, enrollment 90.

1. Wichita State University, Spring 1994. M111 College algebra, general level. This was a multi-section course, class size 25.

Graduate

27. University of Alberta, Winter 2002. M600 Introduction to Henstock integration.

17. University of Illinois at Urbana–Champaign, Fall 1999. M468 Partial differential equations.

Teaching interests

• using mathematics seminar courses and written assignments to improve student reading, writing and speaking ability

• incorporating simple proofs of the trapezoidal, midpoint and Simpson’s rules into calculus

• creating a stimulating and challenging mathematics course for students in other disciplines

Student research supervision

• 2019, Emily Ell, “Methods of linear regression”, Work/Study, University of the Fraser Valley.

• 2018, Emily Ell, “Variations on least squares”, Work/Study, University of the Fraser Valley.

• 2016, Cameron Grant, “Multivariate numerical integration”, Work/Study, Univer- sity of the Fraser Valley.

• 2015, Danielle Osborne, “Numerical integration”, Work/Study, University of the Fraser Valley.

• 2013, David Watson, “Applications of cycloids”.

• 2012, Chris Dugdale, “Higher order corrected trapezoidal rules”, Work/Study, Uni- versity of the Fraser Valley. Curriculum Vitae - Erik Talvila 14

• 2011, Kyler Johnson, “Maple for differential equations”, Work/Study, University of the Fraser Valley.

• 2011, Kyler Johnson, “Summation methods”, Research Assistant, University of the Fraser Valley.

• 2011, Matthew Wiersma, “Numerical integration algorithms”, NSERC Undergrad- uate Student Research Award, University of the Fraser Valley.

• 2010, Josh Wiebe, “Summing series via first order differential equations”, Work/Study, University of the Fraser Valley.

• 2009, Lewis Van Dyke, “Ordinary differential equations with Maple”, Work/Study, University of the Fraser Valley.

• 2009, Matthew Wiersma, “Generalisations of the trapezoidal and Simpsons rules”, NSERC Undergraduate Student Research Award, University of the Fraser Valley.

• 2009, Derek Lacoursiere, “Trapezoidal rule for Lp functions”, Work/Study, Univer- sity of the Fraser Valley.

• 2007, Daniel Mori, “Numerical integration of monotonic functions”, NSERC Under- graduate Student Research Award, University of the Fraser Valley.

• 2007, Keith Heywood, “Algebras and complex numbers”, NSERC Undergraduate Student Research Award, University of the Fraser Valley.

• 2005, Luke Born, “Generalised trigonometric functions”, Work/Study, University of the Fraser Valley.

• 2004, Gareth Perry, “Fractals in Maple”, Work/Study, University of the Fraser Valley.

• 2004-2005, Max Neville, “Multiple point Taylor series”, NSERC Undergraduate Student Research Award, Work/Study, University of the Fraser Valley.

• 2004, Brianna Stusiak, Pauline van Ruitenberg, “Methods for summing series”, Work/Study, University of the Fraser Valley.

• 2002-2003, Parasar Mohanty, “Operators commuting with translations”, Postdoc- toral fellow, University of Alberta.

• 2001-2003, Chris Palmer, “A Henstock–Kurzweil approach to numerical integra- tion”, M.Sc., University of Alberta.

• 2002, Aaron Levin, “Exact evaluation of Poisson integrals”, Research assistant, University of Alberta. Curriculum Vitae - Erik Talvila 15

• 2002, David Steinberg, Knots in Maple, University Teaching Research Fund, Uni- versity of Alberta.

• 2001, Stephanie Lee, “Summing series using differential equations”, NSERC Under- graduate Student Research Award, University of Alberta.