MAT431 Course Introduction

Discrete-Time Mathematical Modeling Course Introduction for MAT431 – Discrete-Time Mathematical Modeling (MAT431)

Discrete-Time Mathematical Modeling Course Introduction for MAT431 – Discrete-Time Mathematical Modeling (MAT431) Discrete-Time Mathematical Modeling Course Introduction for MAT431 – Discrete-Time Mathematical Modeling (MAT431)

Discrete-Time Mathematical Modeling Course Introduction for MAT431 – Discrete-Time Mathematical Modeling (MAT431) Discrete-Time Mathematical Modeling Course Introduction for MAT431 – Discrete-Time Mathematical Modeling (MAT431)

MAT431 Course Description

– Department of Mathematics, College of William and Mary

Department of Mathematics
Department of Mathematics

MAT431 Course Description for MAT431 – Discrete-Time Mathematical Modeling (MAT431) – Department of Mathematics, College of William and Mary

Table of Contents

Required texts

Required text lists can be found on the book website.

– Introduction to Discrete-Time Signal Processing: Basic Concepts, 2nd Edition, by Alan J. Blumlein and Peter J. Brouwer. Recommended Text List

Universities Offering the MAT431 Course

is offered at the following schools/colleges:

What is MAT431 Course About?

Discrete-Time Mathematical Modeling (MAT431) offers a course. Discrete-time mathematical modeling is an attempt to understand how human behavior, social or biological, depends on the discrete values used in time series analysis. The course will be taught by Drs. Liliya A. Ponomareva and Kamran Ebrahimi.

What are the Course Level and Credit Hours for MAT431?

MAT431

MAT431 Course Outline

– Autumn 2018

MAT431 Course Outline for MAT431 – Discrete-Time Mathematical Modeling (MAT431) – Autumn 2018

Massachusetts Institute of Technology MIT OpenCourseWare
MAT431 Discrete-Time Mathematical Modeling
Spring 2018 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms.

MIT OpenCourseWare is a free & open publication of material from thousands of MIT courses, covering the entire MIT curriculum.
No registration required

MAT431 Course Objectives

In this course, students will be able to: • Define discrete-time systems and state space models in vector spaces. • Solve discrete-time nonlinear equations and state-space systems numerically. • Understand the time-domain and frequency-domain representations of linear time-invariant (LTI) systems. • Estimate the input-output relation of discrete-time LTI systems using frequency domain or time domain representation. • Perform a variety of sensitivity analyses using software tools such as Matlab or Excel to determine the effect of system parameters on system

MAT431 Course Pre-requisites

MAT341 – Ordinary Differential Equations (MAT341) MAT322 – Elementary Linear Algebra (MAT322) MAT421 – Linear Algebra (MAT421) MAT422 – Abstract Algebra (MAT422) MAT423 – Applied Mathematics for Computer Science (MAT423) MAT428 – Introduction to Real Analysis (MAT428) MAT431 – Discrete-Time Mathematical Modeling (MAT431)

Secondary Majors Math 436, 536 Mathematics for Business Administration

Math 426, 436 Mathematics for Education

Math

MAT431 Course Duration & Credits

Course Code: MAT431 Course Name: Discrete-Time Mathematical Modeling (MAT431) Credits: 4.0 Delivery Mode: Online Semester Available: Spring & Fall, Online/Blended Learning, In-Class (For Blended Learning only) Typical student workload per week : 2-3 hours reading and studying

Classes held weekly on the University of Waterloo campus via a combination of online classes and in-class sessions.

Course syllabus:

Course outline

Mathematical modeling is an integral part of

MAT431 Course Learning Outcomes

for the Summer 2017 are as follows. Please note that the student will receive credit only for those of the course objectives listed below that have been met by the end of class.

MAT431 – Discrete-Time Mathematical Modeling (Summer 2017) – Final Exam

First Midterm Test: Wednesday, July 19

Second Midterm Test: Wednesday, August 2

Final Exam: Wednesday, August 23 (No Make-up)

Grading Scale for MAT431 – Discrete-Time

MAT431 Course Assessment & Grading Criteria

Course Description and Learning Outcomes The course is based on the following educational goals and outcomes: This course is designed to introduce students to key ideas of discrete-time mathematical modeling, including the representation of continuous-time behavior using discrete-time models, the use of time-domain signal analysis methods, and the modeling of dynamic systems. Students will be able to define discrete-time models for continuous-time problems, develop simple models by employing a variety of methods, and use these models to make predictions about their behavior. This course is

MAT431 Course Fact Sheet

1. This course will focus on the discrete-time mathematical modeling of real-world systems. The typical class work and examination questions for the course are listed below:

MAT431 Course Handout | Calculus – YouTube

Aug 29, 2018MAT431: Discrete Time Mathematical Modeling This is a short video explaining the important elements of discrete time models used in engineering, physics and biology. I show how an ordinary differential equation (ODE) can be solved using numerical integration to generate a model of

MAT431 Course Delivery Modes

This course is taught in three delivery modes: 1. Video lectures on YouTube by Professor Jonathan Brown; 2. Lecture notes written in electronic textbook; 3. In-class discussions and exercises

When is this course offered? MAT431 is normally offered in the Fall term, but can be offered at any time.

What are the prerequisites for this course? For students enrolled in MAT431, it is recommended that they have completed one year of calculus and one year of discrete mathematics.

What will I

MAT431 Course Faculty Qualifications

This course is offered by the Department of Mathematics. The course description and faculty qualifications can be found in the section “Course Description” below. Admission Requirements for MAT431 (DISCRETE-TIME MATHEMATICAL MODELLING) Students are expected to have a strong background in mathematics, and familiarity with basic linear algebra (vectors, matrices). It is recommended that students have taken at least one of the following: Calculus 1 or 2, or Differential Equations and Mathematical Statistics.

MAT431 Course Syllabus

Discrete-Time Mathematical Modeling. The Course is an introduction to the math behind digital systems and controllers, with a focus on discrete-time control theory. Unlike many other courses in discrete-time control theory, this course does not require any previous experience with these topics. In particular, the course covers no… More

The Math 1330/1331 Lab Sequence: Software Engineering (FALL 2016) and Software Engineering II (WINTER 2017) are designed for students who have completed Math

Suggested MAT431 Course Resources/Books

Textbook: Homework and Solutions By Dmitri I. Gelfand, University of Missouri – Kansas City

A Textbook on Discrete-Time Signal Processing, by J.R. Hannan, Prentice-Hall Inc., 1965

Mathematics of Information Theory, by G.E.M. Moore, IEEE Press , 1988.

Mathematical Principles of Communication and Coding – M.P.C. Jain, Pearson Education India Pvt. Ltd., 2007 If you are looking for

MAT431 Course Practicum Journal

Week 4 Due: Friday, September 8

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Suggested MAT431 Course Resources (Websites, Books, Journal Articles, etc.)

(Spring 2013)
MAT431 Course Homepage
Lecture, Textbook, and Course Calendar (for Spring 2013)
Week 0 Introduction and Materials (Ch. 1) Week 1 Discrete-Time Systems (Ch. 2) Week 2 Input-Output Methods (Ch. 3) Week 3 LTI Systems in Continuous Time (Ch. 4) Week 4 State Space Analysis and Design of LTI Systems in Continuous Time (Ch. 5

MAT431 Course Project Proposal

Fall 2016 (LOCI) Mat331, MAT332, MAT333, MAT334

Course Description and Objectives:

This course provides a survey of the physical concepts and mathematical methods that underlie the practice of signal processing. It is intended to provide a solid foundation for graduate students in electrical engineering and computer science. It will focus on the frequency domain concepts used in solving such problems as the analysis of signals (e.g., Fourier transforms), their representation by signal processing techniques (e.g.,

MAT431 Course Practicum

Location: http://courseware.cs.wisc.edu/course/1310/2016

http://courseware.cs.wisc.edu/course/1310/2016 Dates: Tuesday, October 11, 2016 through Thursday, November 3, 2016 Time: All day except for Tuesday and Thursday. Note that the Monday class will be a one-day workshop from 8 am – 5 pm.

All day except for Tuesday and Thursday. Note that the Monday class will be a

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Midterm Exam

Exam 1.

MAT431, Discrete-Time Mathematical Modeling (MAT431) – Spring 2018. This is the final exam for MAT431, Discrete-Time Mathematical Modeling. Only students registered in the course for which this exam is taken are eligible to take it.

MAT431 Homework #1 Due Friday, March 16th at 5pm Homework Number 2 due Friday April 6th at 5pm.

The midterm will be held on Tuesday March 20th, and you

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MAT431 is a laboratory course that teaches students the concepts and procedures of mathematical modeling. Students will be required to learn, implement, and understand techniques for representing the state of the world as a mathematical function over time.

The course is designed to serve two purposes. The first purpose is to teach students how to solve mathematical problems in discrete-time systems. Students

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MAT431/MAT431N MAT431 Discrete-Time Mathematical Modeling Fall 2013 Important: Please use this site to help prepare for and take your midterm exam. This is not a place where you can study for the course. It is a place to access material, review your notes, and ask questions about the course material. The exams will be open book, however you are expected to take notes and do some studying before coming to class. See below for exam tips!

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Final Exam

Answers

13. The following data, produced by a discrete-time system, correspond to the observations and outputs of an H-infinity observer for this system: x(0) = 1, 2, 3, 4, 5, 6, x(n) = x(n-1) + cos(2 πnx), where n is in the range of [-10, -2]. Write a state estimator for this system.

14. Compute the smallest positive value for t

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Course

MAT431 Final Exam is a final exam required to pass MAT431 Discrete-Time Mathematical Modeling (MAT431) course. It is also one of the most important exams in your MAT431 syllabus. Don’t let this exam catch you unprepared. You can use these tips and strategies to get prepared for your MAT431 final exam:

Before taking the MAT431 final exam, go through the textbook for each chapter thoroughly. This will help you understand the concepts better.

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Week by Week Course Overview

MAT431 Week 1 Description

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MAT431 Week 1 Outline

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MAT431 Week 1 Objectives

Week 1: Introduction, Modeling Practice, and Demo 1.1 – Discrete-Time Modeling Practice

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MAT431 Week 1 Pre-requisites

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MAT431 Week 1 Duration

Week 1 Assignment (Grading Criteria) Write a two to three (2-3) page paper describing the discrete-time mathematical model you have chosen. You are encouraged to use other models that can be found in textbooks, journal articles, or online sources. The assignment should include the following: • A brief discussion of mathematical modeling. Consider the following: how a system is modeled, its application(s), and the potential impact on decision-making. What role does modeling play in solving practical problems? How

MAT431 Week 1 Learning Outcomes

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MAT431 Week 1 Assessment & Grading

DISCRETE TIME MATHEMATICAL MODELING SAVANNAH INSTITUTE OF TECHNOLOGY MAT431 Week 1 Assessment & Grading for MAT431 Discrete-Time Mathematical Modeling (MAT431) Discrete Time Mathematical Modeling Tutorial / Assignment #1: Learning Objectives: • At the end of this tutorial you should be able to: – Define and introduce discrete time systems. • Examine system behavior using basic algebraic analysis techniques. – Determine performance characteristics of a discrete time system. •

MAT431 Week 1 Suggested Resources/Books

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Week 1 Assignment Question (20 Questions) for MAT431 – Discrete-Time Mathematical Modeling (MAT431) Homework Pointers The homework pointers are a set of points that help you understand the process in an intuitive manner. This helps you to understand the concepts easily. These homework pointers are not intended to replace a book or course textbook; rather, they are meant to provide additional points and references to enable further study of topics.

Use this pointer and read the assigned chapters from the chapter books listed below.

MAT431 Week 1 Discussion 1 (20 Questions)

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MAT431 Week 1 Discussion 2 (20 Questions)

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MAT431 Week 1 DQ 2 (20 Questions)

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MAT431 Week 1 Quiz (20 Questions)

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MAT431 Week 2 Description

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MAT431 Week 2 Outline

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MAT431 Week 2 Objectives

– Spring 2016

For this assignment, the student must prepare an initial solution to a discrete-time mathematical modeling problem.

This assignment has two parts. The first part is due at the start of the week; the second part will be completed during Week 5. You are required to submit your assignment using Turnitin.

Assignment Description:

You will be expected to address the following in your paper:

1. Describe a discrete-time mathematical modeling problem from class.

2. Describe how you would approach and

MAT431 Week 2 Pre-requisites

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MAT431 Week 2 Duration

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MAT431 Week 2 Learning Outcomes

WEEK 2 DISCRETE-TO-CONTINUOUS ASSESSMENT Prepare a case study in which you have been asked to build a discrete-time linear control system, and determine the magnitude of the disturbance that would cause the output to go outside the set point range. Instructions: Answer the following questions. Submit your assignment through Blackboard. Each question is worth 10 points. 1. To establish an equilibrium condition for a discrete-time closed-loop control system, you need to solve (1

MAT431 Week 2 Assessment & Grading

– Due: Week 2 in class and by the end of the lecture on Sunday, January 21st. The Midterm will cover Chapters 1-5, and the Final Exam will cover Chapters 6-10. Evaluation should be based on course work, projects, class participation and examinations.

MAT431 Week 3 Assignment Introduction to Probability & Statistics for Discrete-Time Mathematical Modeling (MAT431) – Due: Week 3 in class and by the end of the lecture on Sunday,

MAT431 Week 2 Suggested Resources/Books

Week 2 Suggested Resources/Books For MAT431 – Discrete-Time Mathematical Modeling (MAT431) week 2 introduction to discrete time models of systems with continuous states and inputs the following books are provided for additional study on discrete time systems. These textbooks are available from a number of sources including the bookstore, and online web sites. The text is not intended to be a comprehensive review; this page includes only material covered in the textbook, and does not represent an exhaustive list of resources.

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MAT431 Week 2 Assignment (20 Questions)

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MAT431 Week 2 Assignment Question (20 Questions)

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MAT431 Week 2 Discussion 1 (20 Questions)

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MAT431 Week 2 MCQ’s (20 Multiple Choice Questions)

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MAT431 Week 3 Description

Week 3: Discrete Time Mathematical Modeling Description This discussion questions answers will help you prepare for a final exam. Notes & video course contents will also be covered. For this weeks discussion, please answer the following questions and post your response to the discussion board: • What is discrete time? How is it different from continuous time? • Discuss the difference between discrete and continuous functions in discrete time. • What are the advantages/disadvantages of using discrete-time models to make predictions about data in continuous time

MAT431 Week 3 Outline

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– Chapter 4 introduces the matrix algebra

MAT431 Week 3 Objectives

Week 3 Objectives for MAT431 – Discrete-Time Mathematical Modeling (MAT431) Week 3 Objectives for MAT431 – Discrete-Time Mathematical Modeling (MAT431) Week 3 Objectives for MAT431 – Discrete-Time Mathematical Modeling (MAT431) Week 3 Objectives for MAT431 – Discrete-Time Mathematical Modeling (MAT431) Week 3 Objectives for MAT431 – Discrete-Time Mathematical Modeling (MAT431) Week 3 Objectives for MAT431 – Dis

MAT431 Week 3 Pre-requisites

Discrete-Time Mathematical Modeling (MAT431) Midterm Exam 1 Part I – Multiple Choice Question (10 points) 1) The sum of all the real values of X is 16. You are working as a safety officer for the company. The limit is given by Z=-5, and Z must be negative. A = {(x, y) ∈ R4 | x > 0 } B = {(x, y) ∈ R4 | y > x }. If the extreme

MAT431 Week 3 Duration

Discrete-Time Mathematical Modeling (MAT431) DISCRETE-TIME MATHEMATICAL MODELLING 3 1 1 6.00 L T P. ANS: A, D, F. This course is an introduction to the concepts and methods of discrete time mathematical modeling. While the general tools and techniques used in this area are well established, this course emphasizes the application of these tools and techniques to a range of real-world problems, including financial markets, government regulation,