Homework: | 10% |
Quizzes: | 10% |
Midterm Exam I: | 20% |
Midterm Exam II: | 20% |
Final Exam: | 40% |
02/02/2004: | Introduction to vector algebra (Sections 7.1-7.5) |
04/02/2004: | Scalar product, cross product (Section 7.6); Equation of line, planes, and spheres (Section 7.7); Finding distances (Section 7.8) |
09/02/2004: | Matrix algebra (Sections 8.3-8.7) |
11/02/2004: | 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!) |
16/02/2004: | Vector spaces: Definition, linear independence, basis (Sections 8.1, 8.1.1) |
18/02/2004: | 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!) |
23/02/2004: | Determinants (Section 8.9); Eigenvalues and eigenvectors (Section 8.13) |
25/02/2004: | Finding eigenvalues and eigenvectors (Section 8.14); Diagonalization (Section 8.16) |
01/03/2004: | Midterm review |
03/03/2004: | Midterm I |
08/03/2004: | Inner products (Section 8.1.2); Gram-Schmidt orthonormalization (Section 8.13.1) |
10/03/2004: | Orthonormal functions; Fourier series I (Sections 12.1-12.4) |
15/03/2004: | Fourier series II (Selected topics from Sections 12.5-12.8) |
17/03/2004: | Fourier transform (Section 13.1) |
22/03/2004: | Dirac delta function (Sections 13.1.3-13.1.4) |
24/03/2004: | Properties of the Fourier transform (Sections 13.1.5-13.1.6) |
29/03/2004: | Convolution and deconvolution, correlation functions, Parseval's theorem (Sections 13.1.7-13.1.9) |
31/03/2004: | Midterm review |
31/03/2004: | Midterm II, 19:00 in the Research II Lecture Hall |
05/04/2004: | No class |
07/04/2004: | Spring Break |
12/04/2004: | Spring Break |
14/04/2004: | Laplace transform (Section 13.2); Application of the Laplace transform to linear differential equations (Section 15.1.5) |
19/04/2004: | Introduction to orthogonal polynomials (Sections 17.1-17.3) |
21/04/2004: | Preparation for probability: notions from set theory and combinatorics (Section 26.1) |
26/04/2004: | Probability (Section 26.2, 26.2.1) |
28/04/2004: | Conditional probability, Bayes' theorem (Sections 26.2.2, 26.2.3) |
03/05/2004: | Permutations and combination (Section 26.3); Random variables and distributions (Section 26.4) |
05/05/2004: | Expectation, important distributions (Selected topics from 20.5-20.9) |
10/05/2004: | The central limit theorem (Section 20.10) |
12/05/2004: | Review for final exam |
TBA | Final Exam |