Spring Semester 2003

Engineering and Science Mathematics 2B

Syllabus

Textbook:

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

Homework:

Homework is assigned each Monday. The homework sheets can be found here.
Exams are here.
It is due Saturdays before 22:00 in the Mailbox marked ESM 2B in the lobby of Research I.
Homework is graded and returned during tutorials the following week.

Quizzes:

For each homework set you have two weeks to take a quiz on that homework set. The last day to take the quiz is each week Monday.
The quiz consists of a random selection of three problems from the homework.
The quiz will be handed to you by Math Support Center staff any time during normal opening hours, up to 20 minutes before closing time.
You have 20 minutes to complete the quiz, after which you hand it back to Math Support Center staff.
You are responsible for keeping the time. Math Support Center staff will note time out and time in on your quiz. There is a penalty of 2 (out of a total of 15) points per 5 minutes overtime.
You may not use any notes or books.

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.

Grading:

The final grade will be computed as a grade point average with the following weights:

Homework: 10%

Quizzes: 10%

Midterm Exam I: 20%

Midterm Exam II: 20%

Final Exam: 40%
The final combined homework/quiz grade and all exams grades are explicit IUB grade points from which the final grade point average is computed.
A weekly quiz grade that is better than the corresponding homework grade will replace the homework grade, but not vice versa.
The lowest two weekly combined homework/quiz grades will be dropped.
Easy/Advanced questions: Some questions on homework, quizzes and exams will be offered in two versions. The maximum score on the easy variant is 80% of the maximum score of the advanced variant. You have to decide which variant you submit. If you submit both versions and do not indicated clearly which of the two you want graded, the two grades will be averaged.

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)

Homework:	10%
Quizzes:	10%
Midterm Exam I:	20%
Midterm Exam II:	20%
Final Exam:	40%