Spring Semester 2003

Engineering and Science Mathematics 2B


Riley, Hobson, and Bence: Mathematical Methods for Physics and Engineering, 2nd edition.



Missed Work:
Late homework or quizzes will not be accepted under any circumstances as they pose undue burden on the instructor and the graders. Also, there will not be any extra credit problems, so please don't ask for it - you already have enough work to do! For missed exams standard IUB policies apply. Short version: Don't miss exams. If you do, you need to supply written proof from a medical doctor to the Registrar's office as soon as this is possible.


Tentative Class Schedule

03/02/2003: Vector algebra review; Equation of line, planes, and spheres (Section 7.7); Finding distances (Section 7.8)
05/02/2003: Complex Numbers (selected topics from Sections 3.1-3.4)
10/02/2003: Matrix algebra (Sections 8.3-8.7)
12/02/2003: Solving linear systems (Essentially covered in Section 8.18.2. Note, however, that we will not follow the presentation in the book. In particular, we will not use Cramer's rule. Please follow the lectures and handouts closely!)
17/02/2003: Vector spaces: Definition, linear independence, basis (Sections 8.1, 8.1.1)
19/02/2003: Change of basis (Section 8.15); Linear maps: rank, null space, range, inverse (Sections 8.2, 8.10). For matrix inversion we will not follow the presentation in the book. Please follow the lectures and handouts closely!)
24/02/2003: Determinants (Section 8.9); Eigenvalues and eigenvectors (Section 8.13)
26/02/2003: Finding eigenvalues and eigenvectors (Section 8.14); Diagonalization (Section 8.16)
03/03/2003: Midterm review
05/03/2003: Midterm I
10/03/2003: Inner Products (Section 8.1.2); Gram-Schmidt orthonormalization (Section 8.13.1)
12/03/2003: Orthonormal Functions; Fourier Series I (Sections 12.1-12.4)
17/03/2003: Fourier Series II (Selected topics from Sections 12.5-12.8)
19/03/2003: Fourier transform, Dirac delta function (Sections 13.1, 13.1.3)
24/03/2003: Properties of the Fourier transform (Sections 13.1.5-13.1.9)
26/03/2003: Laplace transform (Section 13.2)
31/03/2003: Application of the Laplace transform to linear Differential Equations (Section 15.1.5)
02/04/2003: Orthogonal Polynomials (Sections 17.1-17.3)
07/04/2003: Special Differential Equations (Sections 17.5, 17.6)
09/04/2003: Midterm review
09/04/2003: Midterm II, 19:00 in the Research II Lecture Hall
14/04/2003: No class
16/04/2003: Spring Break
21/04/2003: Spring Break
23/04/2003: Preparation for Probability: notions from set theory and combinatorics (Section 26.1)
28/04/2003: Probability (Section 26.2, 26.2.1)
30/04/2003: Conditional probability, Bayes' theorem (Sections 26.2.2, 26.2.3)
05/05/2003: Permutations and Combination (Section 26.3); Random variables and distributions (Section 26.4)
07/05/2003: Expectation, important distributions (Selected topics from 20.5-20.9)
12/05/2003: The central limit theorem (Section 20.10)
14/05/2003: Review for final exam
24/05/2003: Final Exam, 18:30-20:30 in Sports Hall 1

Last modified: 2003/03/11
This page: http://math.iu-bremen.de/oliver/teaching/iub/spring2003/esm2b.html
Marcel Oliver (m.oliver@iu-bremen.de)