# Exams¶

Exams will be held during the regular lecture hour. Exams will be closed-book. You will be permitted one sheet of 8.5x11 paper, with handwritten notes on both sides. Calculators and computers are not allowed.

On-line section: if you’re in the online section, we will proctor you via zoom. You will need to have your camera on. The exam will be made available to you, on Gradescope, at the start of the exam hour. One of the course staff will watch you over zoom while you take the exam, then you’ll photograph your answers, and upload the result to Gradescope.

Conflict exam: if you have a time conflict, please make arrangements at least one week prior to the regular exam.

Past exams will be made available to you on this page.

## Exam 1¶

Exam 1 was held Monday September 27, in class.

Topics will include phasors, spectrum, Fourier series, and sampling. Problems from previous semesters that would be fair game for this exam include:

Fall 2011 Exam 1 problems 1 (find \(X_k\) instead of \(a_k,b_k\)), 4(a), and 5(b) (\(X_d(\omega)\) means the spectrum of the discrete-time signal).

Fall 2011 Exam 3 problem 6(a-e)

Fall 2013 Exam 1 problems 1, 2, and 3 ( solutions )

Fall 2013 Exam 3 problems 1, 2, and 8. In problem 8, “Sketch \(X(\omega)\)” means “sketch the spectrum plot.”

Fall 2014 Exam 1 problems 1, 2, and 3 ( solutions )

Fall 2014 Exam 3 problem 3.

## Exam 2¶

Exam 2 was held Monday November 1, in class. Here are the exam and solutions:

Topics included LSI systems, convolution, frequency response, and DTFT. Problems from previous semesters that would be fair game for this exam include:

Fall 2011 Exam 3 problem 3(a,c), 4, 8(a), 9

Fall 2013 Exam 1 problems 4, 5 ( solutions )

Fall 2013 Exam 2 problems 3, 4

Fall 2013 Exam 3 problems 3(a,c), 4, 5, 6

Fall 2014 Exam 1 problem 4 ( solutions )

Fall 2014 Exam 2 problem 1, 2, 4 ( solutions )

Fall 2017 Exam 2 problem 1, 2, 3, 4 ( solutions )

## Final Exam¶

The final exam will be December 14, 8:00-11:00am. The final exam will be about the length of two midterm exams. Calculators and computers are not permitted. You may bring two sheets of handwritten notes, front and back. The exam will also have a formula sheet, which will be posted here in advance of the exam. If you are taking the exam online, it will be provided to you by e-mail and on zoom; you’ll need to upload your solutions to Gradescope.

Topics covered will include:

17%: topics from exam 1

17%: topics from exam 2

66%: topics from the last third of the course, including DFT and circular convolution, Z transform and inverse Z transform, IIR filters, causality and stability, notch filters, and second-order filters.

Here is a draft of the title page and formula sheet as they will appear on the exam:

Here is a sample exam, covering only the topics from the last third of the semester:

The practice exam contains some new questions, as well as these exam questions from previous semesters:

Fall 2011 Exam 3 problem 5, 6(f), 10

Fall 2013 Exam 3 problems 3(b,d)

Fall 2013 Exam 2 problems 1, 2 (Solutions)

Fall 2014 Exam 2 problem 3 (Solutions)