For December 1 and 4, please begin reading Chapter 6 on the Laplace transform. Sections 6.1 and 6.2 describe the forward and inverse Laplace transform operations. You should study these sections carefully, focusing on the unilateral Laplace transform. Please note that Sections B.3-2 and B.5 in the Background chapter are useful. Sections 6.3 and 6.4 describe the application of the Laplace transform to solving differential equations and circuits (ZSR and ZIR!). Since you have done this in MATH 212 and ELEC 225-226, we will mention it only briefly in this course. The concept of the transfer function of an LTIC system, H(s), is very important. Please browse Section 6.5 on block diagrams and Section 6.6 to understand how higher-order systems are designed. You will use these methods extensively next year in ELEC 480 (Control Systems). You can skip Sections 6.7, 6.8, and 6.9.
If you have notes on the Laplace transform from previous courses (MATH 212 and ELEC 225-226), you might want to find and review those notes.
If you would like to read more about topic that began the course, analog filters, please read Sections 7.1 and 7.2 on frequency response and Bode plots. We have already covered the basic material in these sections, and we will not consider all of the details in these sections. Section 7.4 is useful and interesting - it explains filter design by placing poles and zeros in the s-plane. Section 7.5 discusses the Butterworth filter. These sections will provide an introduction to the design of higher-order analog filters (higher than first-order). However, we will not have time to discuss this material in class.
Problems 6.2-1 and 6.2-3 (for practice with the forward and inverse L.T.)
Problems 6.3-1(b) and 6.3-5 (for solving differential equations)
Problems 6.4-3 and 6.4-9 (for L.T. applied to circuit analysis)
Problems 6.5-2 and 6.6-1 (for block diagrams and system realization)
Problem 7.1-1 (for frequency response from H(s))
Problem 7.4-1 (for frequency response from pole-zero locations)
Problem 7.5-1 (for Butterworth filter design, but you can use the tables)
Thank you.