The following calendar reflects topics covered in class and discussions.
On any day, the list of topics is final for all lectures that have already taken place.
The contents of
future lectures and the dates of home assignments are tentative

Week 1
Lecture 1   8/30 Syllabus, course organization, prerequisites.

Discussion 1: No meeting (Labor day)

Week 2
Lecture 2   9/4 Prerequisites (cont'd). Sect.1.2. Energy and power signals. Sect.1.1.
Lecture 3   9/6 Unit impulse, unit step. Even and odd signals. Sect.1.4,1.5.

Discussion 2: Prerequisites in calculus and basic math. Signal models.
Week 3
Lecture 4   9/11 Systems and their properties. Sect.1.7. Reading assignment: Examples, Sect.1.8.

Lecture 5   9/13 Response of linear systems. Unit impulse response. Sect.2.3, 2.3.

Discussion 3: Systems and their properties. Memorylessness, Causality, Invertibility, Stability, Time Invariance & Linearity

Week 4
Lecture 6   9/18 Unit impulse response for DT systems. Convolution sum. Sect.3.1,3.2 (pp.245-253).

Lecture 7   9/20 Convolution integral Sect.2.4.1-2.4.3. Problem set 3
Discussion 4: Impulse response. Examples of computing the convolution Integral.
Week 5
Lecture 8   9/25 Stability of LTI systems. Sect. 2.6.
Lecture 9   9/27 Resonsance (Sect.2.7-7). Forced and natural response (Sect. 2.5). Discrete-time signals. (Sect.3.1-3.3) Problem set 4

Discussion 5: Linear systems described by differential equations and computing their Impulse response. Computing the Zero-input and Zero-state response.
Week 6
Lecture --  10/2 No class

Lecture 10  10/4 Discrete-time systems (Sect.3.3-3.6)
Discussion 6: Linear systems described by difference equations and computing their impulse response. Zero-state and Zero-input response.
Week 7
Lecture 11 10/9 Unit impulse response of discrete-time systems. Zero state response. (Sect. 3.7-3.8, slides lect2-3
)
Lecture 12 10/11 Characteristic modes; unit impulse response (slides lect2-3)
Discussion 7: Convolution sum. Graphical computation continued. Similarities of Continuous time and Discrete time systems
Week 8
Midterm 1 10/16
Lecture 13 10/18 Block diagram representation of discrete-time systems. Impulse response. (Slides, Lect.2-3)
Discussion 8: Review of Midterm 1, Laplace transform: Properties, ROC

Week 9
Lecture 14 10/23 Block diagram representation of continuous-time systems. The Laplace transform (slides, lect. 4,5)

Lecture 15 10/25 Properties of the Laplace transform. (Sect.4.3, Slides Lect.5)
Discussion 9: Laplace transform: Solution of differential equations, Transfer functions of LTI systems
Week 10
Lecture -- 10/30 Sandy, no class

Lecture 16 11/1 Analysis of LTIC systems using the Laplace transform (Sect.4.3)
Discussion 10: Inverse Laplace transform, Frequency Response of LTI systems
Week 11
Lecture 17 11/6 Frequency response (Sect. 4.8, 4.9, slides lect.9)

Lecture 18 11/8 Frequency response. Bode plots (Sect. 4.8-4.9, slides lect.10)
Discussion 11: Bode Plots, Filter design by pole-zero placement
Week 12
Lecture 19 11/13 Bode plots. Filter design (Sect.4.10)

Midterm 2 11/15
Discussion 12: Z-transform, ROC, LTI system analysis using Z-transform
Week 13
Lecture 20 11/20  z-transform (Sect. 5.1-5.3)
Thanksgiving break 11/21-24
Discussion 13: Inverse Z-transform, solution of Difference Equations using Z-transform

Week 14
Lecture 21 11/27 Properties of z-transform. (Sect. 5.2)
Lecture 22
11/29 Use of z-transform for the analysis of discrete-time LTI systems and finite difference equations (Sect. 5.3, slides lect. 6 )
Discussion 14: Fourier series, Fourier transform, Parseval's Theorem, Duality, Bandwidth, Sampling Theorem
Week 15
Lecture 2
3 12/4 Fourier representations and Fourier series (Sect. 6.1, 6.2, 6.5-4; slides Lect. 14)
Lecture 24 12/6 Fourier series (Sect. 6.3). Fourier Transform (Sect. 7.1,7.2)
Discussion 15: Sample problems from Fourier transform and Fourier series
Week 16
Lecture 25 12/11 Fourier Transform (Sect. 7.3,7.6)

Final Exam December 13, 8:00-10:00am, usual class room CHE2116