Homework: | 10% |
Quizzes: | 10% |
Midterm Exam I: | 20% |
Midterm Exam II: | 20% |
Final Exam: | 40% |
04/02/2013: | Introduction to vector algebra (Sections 7.1-7.5); Scalar product, cross product (Section 7.6) |
06/02/2013: | Equation of line, planes, and spheres (Section 7.7); Finding distances (Section 7.8) |
11/02/2013: | Matrix algebra (Sections 8.3-8.7) |
13/02/2013: | 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!) |
18/02/2013: | Vector spaces: Definition, linear independence, basis (Sections 8.1, 8.1.1); Linear maps: rank, null space, range, definition of inverse (Sections 8.2, 8.10) |
20/02/2013: | Change of basis (Section 8.15); Computation of the matrix inverse - note that we will not follow the presentation in the book. Please follow the lectures and handouts closely!) |
25/02/2013: | Determinants (Section 8.9); Eigenvalues and eigenvectors (Section 8.13) |
27/02/2013: | Finding eigenvalues and eigenvectors (Section 8.14); Diagonalization (Section 8.16) |
04/03/2013: | Midterm review |
06/03/2013: | Midterm I |
11/03/2013: | Inner products (Section 8.1.2); Gram-Schmidt orthonormalization (Section 8.13.1) |
13/03/2013: | Orthonormal functions; Fourier series I (Sections 12.1-12.4) |
18/03/2013: | Fourier series II (Selected topics from Sections 12.5-12.8) |
20/03/2013: | Fourier transform (Section 13.1) |
03/04/2013: | Dirac delta function (Sections 13.1.3-13.1.4) |
08/04/2013: | Properties of the Fourier transform (Sections 13.1.5-13.1.6) |
10/04/2013: | Convolution and deconvolution, correlation functions, Parseval's theorem (Sections 13.1.7-13.1.9) |
15/04/2013: | Midterm review |
17/04/2013: | Midterm II |
22/04/2013: | Notions from set theory, Venn diagrams, sample space, events, probability (Sections 30.1, 30.2.1) |
24/04/2013: | Conditional probability, Bayes' theorem (Sections 30.2.2, 30.2.3) |
29/04/2013: | Permutations and combination (Section 30.3) |
06/05/2013: | Random variables and distributions (Section 30.4) |
08/05/2013: | Expectation, important distributions (Selected topics from 30.5-30.9) |
13/05/2013: | The central limit theorem (Section 30.10) |
15/05/2013: | Review for final exam |
23/05/2013 | Final Exam, 12:30-14:30 in the Campus Center East Wing and Conference Hall |