ECE595 Foundations of Advanced Engineering I

Summer, 2016

Course Information

  • Instructor:  Sarah Koskie

    • Email:  skoskie@iupui.edu

    • Office Hours:   MWR 8:15–9:30 pm or by appointment, in SL-164F

  • Lectures:   MWR 6:00–8:15 pm in SL-056

    • Class meets May 11th through June 22nd, except the Memorial Day Holiday (May 30th) when there will be no class.

  • Detailed Course Information    (Updated May 11, 2016)

  • Recommended Texts by Topic    (Updated June 14, 2016)

    • Recommended Texts: Combinatorics and Graph Theory
    • Recommended Texts: Groups, Rings, and Fields
      • (Knapp) Basic Algebra by Anthony W. Knapp, Springer, 2008. ISBN: 978-0-8176-3248-9 (print), 978-0-8176-4529-8 (online) This text can be accessed through IUCAT once you have logged in.

      • (LaLonde) Notes on Abstract Algebra by Scott M. LaLonde, 2013.

    • Recommended Texts: Probability
    • Recommended Texts: Mathematical Reasoning
      • (DG) Mathematical Logic and Sets, Chapter 1 of First Year Calculus for Students of Mathematics and Related Disciplines by Michael Dougherty and John Gieringer.

      • (Hildebrand) Sample Induction Proofs, Notes for UIUC Math 213 by A. J. Hildebrand.

      • (Kirby) Methods of Proof, by Penelope Kirby.

      • (Schaefer) Logic, Lecture Notes for the Formosan Summer School on Logic, Language, and Computation 2010, by Max Schaefer.

    • Recmomended Texts: Decision Theory
      • (Berger) Statistical Decision Theory and Bayesian Analysis, 2nd ed. by James O. Berger, Springer, 1985. ISBN: 978-0-387-96098-2

      • (LaValle) Planning Algorithms by Steven M. LaValle, Cambridge University Press 2006. ISBN: 9780521862059

      • (RSH) Quantitative Analysis for Management, 12th ed. by Barry Render, Ralph M. Stair Jr., and Michael E. Hanna, Pearson 2015. ISBN: 9780133507331

      • (Tryfos) Business Statistics by Peter Tryfos, McGraw-Hill Ryerson 1989. ISBN: 978-0075497332

  • Assigned Readings (Updated June 16, 2016)
    • Graph Theory and Combinatorics (Week 1)

      • HHM Graph Theory: Introduction, Section 1.1, pp. 1–17.
      • HHM Graph Theory: Colorings, Section 1.6, pp. 85–93, and 97–101.
      • HHM Combinatorics: Some Essential Problems, Section 2.1 pp. 130–137.
      • HHM Combinatorics: Binomial Coefficients, Section 2.2 pp. 137–144.
      • HHM Combinatorics: Multinomial Coefficients, Section 2.3 pp. 144–145 only.
      • HHM Combinatorics: Pigeonhole Principle, Section 2.4, pp. 150–156.
      • HHM Combinatorics: Inclusion-Exclusion Principle, Section 2.5, pp. 156–164.
      • Hildebrand: Sample Induction Proofs
      • (optional) Schay: Chapter 2 Combinatorial Problems, pp. 22–42.

    • Groups, Finite Fields, and Probability (Week 2)

      • HHM Combinatorics: Permutation Groups, Section 2.7.1, pp. 191–196.
      • Guichard, Chapter 3 Generating Functions, pp. 51–67.
      • Knapp, Groups and Subgroups, Section 4.1, pp. 118–129.
      • Knapp, Rings and Fields, Section 4.4, pp. 141–148.
      • (optional) LaLonde, Group Theory, Sections 2.1 throuth 2.7, pp. 19–75
      • (optional) LaLonde, Chapter 3 Ring Theory pp. 111–130
      • Cameron, Notes on Probability, pp. 1–94.
      • (optional) Schay, Chapter 3 Probabilities, pp. 37–70.
      • (optional) Schay, Chapter 4 Random Variables, pp. 71–126.
      • VLiP Probability Spaces, Topics 1 through 5.
      • Griffin, Chapter 9 A Short Introduction to Random Graphs, pp. 127–136.
    • Statistics (Week 3)

      • Schay, Chapter 5 Expectation, Variance, Moments 127. 37–176.
      • Schay, Chapter 7 The Elements of Mathematical Statistics, pp. 221–276.
    • Logic and Mathematical Reasoning (Week 4)

      • DG, Chapter 1, pp. 1–73.
      • Hildebrand, all pages.
      • Kirby, all pages.
      • Schaefer, Chapters 6 through 9, pp. 14–25.
    • Decision Theory (Week 5)

      • RSH, slides for Chapter 3: Decision Analysis
      • Tryfos, Chapter 3: Decision Theory
      • LaValle, Chapter 9: Basic Decision Theory
  • Homework
    • Assignments    (Updated June 16, 2016)

    • Grading:  

      • 100% Homework, due at 6pm on Wednesdays or other dates as assigned.

  • Some Useful Links:

Last modified June 16, 2016.