## Quiz Solutions

Quiz 1 Solution. Mean = 13.00 (out of 20), Standard Deviation = 4.62.

Quiz 2 Solution. Mean = 10.06 (out of 20), Standard Deviation = 5.14.

Quiz 3 Solution. Mean = 11.23 (out of 20), Standard Deviation = 3.96.

Quiz 4 Solution. Mean = 18.24 (out of 20), Standard Deviation = 2.28.

Quiz 5 Solution. Mean = 11.36 (out of 20), Standard Deviation = 6.28.

Quiz 6 Solution. Mean = 11.31 (out of 20), Standard Deviation = 4.24.

## Final

**Final Solution** If you would like to pick up your graded Final, you may drop by Landis' office after August 9 (or send an email if he is out).

**Final Results:** Mean = 77.95 (out of 120), Standard Deviation = 17.52.

**Coverage:** The exam will cover all material covered *since* the Midterm (including CT Fourier Transform). A list of topics include

- CT Fourier Transform
- CTFT properties and use of the tables (included on the exam)
- DT Fourier Transform
- DTFT properties and use of the tables (included on the exam)
- Differential/difference equations for DT/CT LTI systems computed via Fourier transform
- Nyquist Sampling Theorem/Sampling/Aliasing
- DT implementation of CT systems/filters
- AM modulation/demodulation; Single-sideband AM
- Laplace transform and ROC's
- Z transform and ROC's

**Preparation:** Reviewing the previous quizzes and homework are good ways to prepare. What I've assigned and quizzed on in the past suggests what I will emphasize on the exam. Also the practice exams below, given in past semesters by other instructors, will be good practice, though may not necessarily reflect our exam.

- Practice Final 1 (no solutions)
- Practice Final 2 (with solutions here)
- Practice Final 3 (with solutions here)

## Final Cheat Sheet

- A page dedicated to a collaborative cheat sheet.

## Midterm

**Midterm Results:** Mean = 64.61 (out of 100), Standard Deviation = 15.31.

**Policy:** No calculators are allowed on the exam, but you will be allowed one 8.5"x11" sheet (front and back) of *hand-written* notes.

**Coverage:** The exam will cover all material through lecture on Wednesday, July 8. Thursday and Friday's lecture will review exam material. The topics include

- Signal properties (even/odd, periodicity, power, energy, etc.)
- Independent variable operations (time shift/scaling/reversal, etc.)
- System properties (Memoryless, causality, time-invariance, linearity, stability, invertibility)
- Finding System properties of LTI systems from properties of the impulse response
- DT and CT LTI system input/output relationship by convolution
- Differential/difference equations to describe LTI systems
- Fourier series of DT and CT periodic signals and Fourier series properties
- Fourier series of output of an LTI system
- Continuous Time Fourier transform (CTFT) and CTFT properties

**Preparation:** Reviewing the previous quizzes and homework are good ways to prepare. What I've assigned and quizzed on in the past suggests what I will emphasize on the exam. Also the practice exams below, given in past semesters by other instructors, will be good practice, though may not necessarily reflect our exam.

- Practice Midterm 1 (no solutions)
- Practice Midterm 2 (with solutions)
- Practice Midterm 3 (with solutions here)

## Midterm Cheat Sheet

- A page dedicated to a collaborative cheat sheet.