Math 472 Homework Assignment !!EXCLUSIVE!!
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I grew up right around the corner in the Montgomery County and attended Upper Dublin High school (class of 2007). I then did my undergraduate degree in Electrical Engineering at Princeton University and my master's and Ph.D. degrees in Electrical And Computer Engineering at Duke University (heavily studying math and CS along the way). I finally started my dream job at Ursinus College in Fall of 2019! You can read more about my interests on my professional web site. Looking forward to getting to know everyone as we work through this course together!
Develop broad knowledge of analysis and synthesis techniques for digital audio, with an eye towards musical applications.Learn how to incrementally design, implement, and test signal processing pipelines in code.Use mathematical and physical models to synthesize audio and to process messy real-world data.
We will be using Canvas, but only to submit assignments and to store all of the grades. I will also keep all of the due dates current on the calendar there, as students have appreciated this common space for all of their classes in the past.
Ursinus now has a professional license for Zoom. During class time, we will meet on Zoom in synchronous, virtual sessions. The main reason we're using Zoom instead of Teams for class is because of its breakout room functionality. Students will also have discord open during class for more advanced polling. Due to the hybrid classroom during COVID-19, please note the important points below:We will all be logged into Zoom during class time. This means that students who are in person are expected to bring laptops and headphonesIn the absence of accommodations, students will keep their cameras on at all times. This includes students in class. Surveys at Ursinus last semester showed that remote students felt better in hybrid learning environments when everyone, including students in class, had their cameras on.Students who attend class in person are expected to wear a mask at all times, to practice social distancing (6 feet distance to nearest neighbor), and to wipe down their places before they leave. This is all common courtesy during a global pandemic, and it will help to keep our workplace safe. Students who violate this will be asked to move online. We will do the following activities during class:At the beginning of each session, students will have an opportunity to ask questions on the pre-class modulesDuring most classes, students will work together in groups in virtual break-out rooms on slightly more challenging problems than the modules to hone skills for the assignments.We may also reserve some of the class sessions for working on assignments so that students have a chance to get a head start to ask me questions.DiscordTo facilitate informal, class-wide discussions about the class, we will have a Discord channel for the class. My goal is for this to turn into a flourishing area to work through confusion and to share ideas as a group. All questions are welcome! We will also keep the CS 371 Discord channel open during class so we can do more advanced polling than Zoom allows.
Since the goal is to give you a broad overview of digital music processing, the bulk of the grade in the course will be earned by completing 8 medium scale programming assignments throughout six units in the course. Be sure to start them early, since debug time can often be unpredictable! Please refer to the collaboration and sharing rules for these assignments.
If you're taking this course, then you've certainly had experience with debugging, but it is a skill you will still need to work on, so you should expect to hit some roadblocks. In fact, it is time consuming and difficult even for very experienced programmers. So do not be hard on yourself if your programs don't work the first time around (they rarely do, even if you've been programming for decades!). But be sure you leave yourself adequate time to work on the assignments, because the amount of time it takes to resolve issues can be unpredictable.
In the absence of accommodations or communication with me, all assignments are due at 11:59PM EST on the date(s) stated on the schedule. Students can turn in those assignments past the deadlines, and the scores will be adjusted as follows:
.Furthermore, I want all students to feel comfortable expressing their opinions or confusion at any point in the course, as long as they do so respectfully. As I will stress over and over, being confused is an important part of the process of learning computer science. Learning computer science and struggling to grow is not always comfortable, but I want it to feel safe. In other words, I will regularly keep you at the boundary of your comfort zone with challenging, real-world assignments, but I want you to feel comfortable with me and your peers and respected as a learner during the process.
Finally, I am aware that, particularly during the pandemic, there are a variety of factors that may make it difficult to perform at your best level in class. At Ursinus, we are fortunate to have quite a mix of students from different backgrounds, many of whom need to work part time, and an increasing number of whom are commuters and have family obligations. If you find yourself having difficulty performing at the level that you want and/or turning assignments in on time because of any of these issues, please communicate with me, and we can come up with a solution together (I will gently reach out if I notice any slips even if you don't communicate). This is a foundational course for the CS major, and I want to work to keep your excitement alive, regardless of your personal circumstances. You belong in CS!
The collaboration policy for this class walks the line between encouraging openness and collaboration during a challenging learning process, while also making sure that each students is progressing technically at an individual level without relying on 100% on other classmates. Communication between students is allowed (and encouraged!) on most assignments, but it is expected that every student's code or writeups will be completely distinct. Please do not copy code off of the Internet. Please cite any sources in addition to materials linked from the course website that you used to help in crafting your code and completing the assignment.
To encourage collaboration, students will be allowed (not required) to choose one or more "buddies" to work "near" during the programming assignments. Students are still expected to submit their own solutions, but they are allowed to provide substantial help to each other, and even to look at each others' code during the process. Students should indicate their buddies in the README upon assignment submission. Please let me know if you would like a buddy but are having trouble finding one.
In the event that the College closes due to inclement weather or other circumstances, our in-person class sessions, drop-in office hours, or other meetings will not be held. I will contact you regarding our plan with regard to rescheduling the class or the material, any assignments that are outstanding, and how we can move forward with the material (for example, any readings or remote discussions that we can apply). If necessary, I may schedule online virtual sessions in lieu of class sessions, and will contact you with information about how to participate in those. I will communicate this plan to the department so that it can be posted on my office door if it is feasible to do so. This policy and procedure will also apply in the event that the College remains open but travel conditions are hazardous or not otherwise conducive to holding class as normal. Should another exigent circumstance arise (for example, illness), I will follow this policy and procedure as well.
Topics in mathematics that every educated person needs to know to process, evaluate, and understand the numerical and graphical information in our society. Applications of mathematics in problem solving, finance, probability, statistics, geometry, population growth. Note: This course does not cover the algebra and pre-calculus skills needed for calculus.
Fundamental and relevant mathematics for prospective elementary school teachers, including whole numbers and place value operations with whole numbers, number theory, fractions, ratio and proportion, decimals, and percents. For Pre-Early Childhood and Pre-Elementary Education majors only.
Various topics that might enrich an elementary school mathematics program, including probability and statistics, the integers, rational and real numbers, clock arithmetic, diophantine equations, geometry and transformations, the metric system, relations and functions. For Pre-Early Childhood and Pre-Elementary Education majors only.
Continuation of MATH 127. Elementary techniques of integration, introduction to differential equations, applications to several mathematical models in the life and social sciences, partial derivatives, and some additional topics.
Introduction to ordinary differential equations. First and second order linear differential equations, systems of linear differential equations, Laplace transform, numerical methods, applications. (This course is considered upper division with respect to the requirements for the major and minor in mathematics.)
Students will learn how to read, understand, devise and communicate proofs of mathematical statements. A number of proof techniques (contrapositive, contradiction, and especially induction) will be emphasized. Topics to be discussed include set theory (Cantor's notion of size for sets and gradations of infinity, maps between sets, equivalence relations, partitions of sets), basic logic (truth tables, negation, quantifiers). Other topics will be included as time allows. Math 300 is designed to help students make the transition from calculus courses to the more theoretical junior-senior level mathematics courses. 2b1af7f3a8