ECE595 Foundations of Advanced Engineering I

Summer, 2014

Now ECE539

Course Information

  • Instructor:  Sarah Koskie

    • Email:  skoskie@iupui.edu

    • Office Hours:   MTRF 4:00–6:00 pm and 8:15–9:15 pm or by appointment, in SL-164F

  • Lectures:   MTRF 6:00–8:00 pm in SL-150

    • Class meets June 16th through August 1st, except the week of July 4th when there will be no class.

  • Recommended Texts: Combinatorics and Graph Theory
  • Recommended Texts: Groups, Rings, and Fields
    • (LaLonde) Notes on Abstract Algebra by Scott M. LaLonde, 2013.

    • (Herstein) Abstract Algebra by I. N. Herstein, Macmillan, 1986. ISBN: 0-02-353820-1.

  • 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

  • Assigned Readings
    • Combinatorics (Week 1)

      • HHM Graph Theory: Introduction, Section 1.1, pp. 1–17.
      • HHM Combinatorics: Introduction, Section 2.1–2.3, pp. 130–150.
      • HHM Combinatorics: Pigeonhole Principle, Section 2.4, pp. 150–156.
      • HHM Combinatorics: Inclusion-Exclusion Principle, Section 2.5, pp. 156–163.
      • HHM Combinatorics: Generating Functions, Section 2.6, pp. 164–19.0
    • Groups, Finite Fields, and Probability (Week 2)

      • HHM Graph Theory: Introductory Concepts, Section 1.1, pp.2–17.
      • HHM Graph Theory: Definitions and a Few Properties, Section 1.2.2, pp. 21–25.
      • HHM Combinatorics: Permutation Groups, Section 2.7.1, pp. 191–196.
      • LaLonde, Chapters 2 Group Theory and 3 Ring Theory
      • Cameron, Notes on Probability, Chapters 1 and 2, pp. 1–38.
      • Schay, Chapter 3 Probabilities, pp. 37–70.
      • VLiP Probability Spaces, Topics 1 through 5.
    • Statistics (Week 3)

      • Cameron, Notes on Probability, Chapters 3 and 4, pp. 39–78.
      • Schay, Chapters 4, 5, and 7, pp. 71–176 and pp. 221–270.

    • 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)

      • Berger, Chapters 1 and 2
      • Berger, Sections 4.1–4.5
      • Berger, Sections 7.3 and 7.5
      • Berger, Chapter 5
    • Problems (Week 6)

  • Homework
    • Assignments    (Updated July 10, 2014)

    • Grading:  

      • 60% Three Midterm Exams (20% each)
      • 40% Homework (best 4 of 5 worth 10% each), due at 6pm on Tuesdays: PS1 6/24/14, PS2 7/08/14, PS3 7/15/14, PS4 7/22/14, PS 5 7/29/14. The lowest score will be dropped so no late homework will be accepted.

  • Some Useful Links:

Last modified July 22, 2014.