| | | Preface | | |
| | | Background | | |
| B.1 | | Complex Numbers | | 1 |
| B.1-1 | | A Historical Note | | 1 |
| B.1-2 | | Algebra of Complex Numbers | | 5 |
| B.2 | | Sinusoids | | 16 |
| B.2-1 | | Addition of Sinusoids | | 18 |
| B.2-2 | | Sinusoids in Terms of Exponentials: Eulers Formula | | 21 |
| B.3 | | Sketching Signals | | 22 |
| B.3-1 | | Monotonic Exponentials | | 22 |
| B.3-2 | | The Exponentially Varying Sinusoid | | 23 |
| B.4 | | Cramers Rule | | 24 |
| B.5 | | Partial Fraction Expansion | | 26 |
| B.5-1 | | Method of Clearing Fractions | | 27 |
| B.5-2 | | The Heaviside "Cover-Up" Method | | 28 |
| B.5-3 | | Repeated Factors of Q(x) | | 32 |
| B.5-4 | | Mixture of the Heaviside "Cover-Up" and Clearing Fractions | | 34 |
| B.5-5 | | Improper F(x) with m = n | | 35 |
| B.5-6 | | Modified Partial Fractions | | 36 |
| B.6 | | Vectors and Matrices | | 37 |
| B.6-1 | | Some Definitions and Properties | | 38 |
| B.6-2 | | Matrix Algebra | | 39 |
| B.6-3 | | Derivatives and Integrals of a Matrix | | 43 |
| B.6-4 | | The Characteristic Equation of a Matrix: The Cayley---Hamilton Theorem | | 45 |
| B.6-5 | | Computation of an Exponential and a Power of a Matrix | | 47 |
| B.7 | | Miscellaneous | | 48 |
| B.7-1 | | LHopitals Rule | | 48 |
| | More... | | |