Biophysics & Soft Matter Physics, London (ON)

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Courses 2006:

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Applied Mathematics AM375a:

  • Lecturer: Dr. Mikko Karttunen. Email: mkarttu [at] uwo.ca. Please include 'AM375a' on the subject line. Office hours: Wednesdays 4 pm-5 pm.

  • TAs: Jin Choi: jchoi92 [at] uwo.ca, James Marshall tmarsha8 [at] uwo.ca.
    Office hours: Jin Choi: Email to arrange an appointment; James Marshall: Tuesdays 3pm-4pm

  • Lectures: Mon, Wed, Fri, 12:30-13:30, Room: Social Science Centre, Room 2050
  • Midterm: Monday, October 30, 7pm-22pm. 3M building, room 3250.

    • Material: Chapters 4 and 12 (lesser focus on 12.6) in Zill & Cullen. Lecture notes and examples in them, problem sets 1-6. Note: work out all the examples in the text book and lecture notes. No calculators will be needed, no extra material allowed.
      Exam formula sheet.

  • Final exam: Monday December 11, 2006.
  • In-class exams (2): 1) Monday, October 16, 2006, 2) Wednesday, November 15, 2006.

    • In-class exam on Monday, October 16, 2006: Material: Chapter 4 and Secs. 12.1 and 12.2 in Zill & Cullen. Lecture notes and examples in them, problem sets 1-4. Note: work out all the examples in the text book and lecture notes. No calculators will be needed, no extra material.
      Exam formula sheet.

    • In-class exam on Wednesday, Nov 15, 2006: Material: Chapter 12 and Secs. 5.3, 13.1 and 13.2, 13.3 in Zill & Cullen. Lecture notes and examples in them, problem sets 5-9. Note: work out all the examples in the text book and lecture notes. No calculators will be needed, no extra material.

  • Textbook: Advanced Engineering Mathematics by Zill and Cullen, 2nd edition. Required. We will cover Chapters 4, 12, 13 and 15.

  • Weekly assignments: Will be posted on Fridays. The first one will appear here on Fri. Sep. 15, 2006.

Course outline - be sure to read this!

Weekly lecture schedule (on-line material below)

  • Week 1 (Sep. 11 - Sep. 15): Defintion of the Laplace transform & some related theorems. Material: lecture notes and Sections 4.1-4.2 in Zill & Cullen.
  • Week 2 (Sep. 18 - Sep. 22): The inverse Laplace transform, transforms of the derivatives, and translation theorems. Material: lecture notes and Sections 4.2-4.3 in Zill & Cullen.
  • Week 3 (Sep. 25 - Sep. 29): Translation theorems, pulses and impulses: Heaviside step function and the Dirac delta function Material: lecture notes and Sections 4.3-4.5 in Zill & Cullen. (excluding convolution)
  • Week 4 (Oct. 2 - Oct. 6): Convolution (Sec. 4.4) and its applications, 4.6. The rest of Ch. 4
  • Week 5 (Oct. 9 - Oct. 13): Orthogonal functions, Fourier series, Sec. 12.1, 12.2
  • Week 6 (Oct. 16 - Oct. 20): Fourier cosine and sine series, frequency spectrum. Sec. 12.3, 12.4
  • Week 7 (Oct. 23 - Oct. 27): Sturm-Liouville problem, Bessel and Legendre series. Sec. 12.5, 12.6
  • Week 8 (Oct. 30 - Nov. 3): Boundary value problems, Sec. 13.1,13.2,13.3
  • Week 9 (Nov. 6 - Nov. 10): Boundary value problems, wave equation, Bessel functions, Sec. 5.3, 13.4, 13.6
  • Week 10 (Nov. 6 - Nov. 10): Boundary value problems, wave equation, Bessel functions, Sec. 13.7., 13.8
  • Week 11 (Nov. 13 - Nov. 17): Error function, applications of the Laplace transform 15.1 and 15.2
  • Week 12 (Nov. 20 - Nov. 24): Fourier intergarl and Fourier transform, 15.3, 15.4
  • Week 13 (Nov. 27 - Dec. 1): Fourier transforms and FFT, 15.4, 15.5
  • Week 14 (Dec. 4 - Dec. 6): Fourier transforms and FFT, 15.4, 15.5

  • Midterm question sheet
  • In-class exam 1 question sheet
  • In-class exam 2 question sheet

Midterm and in-class exam notifier

  • Happy holidays!

On-line material & problem sets
Last modified Tuesday December 19, 2006