Faculty of Science Department of Mathematics
数学优化代写 This course is intended for students interested in optimization and is especially useful for stu- dents studying data science.
1 Course Details
Course Title & Number MATH 3490: Optimization
Number of Credit Hours 3
Class Times & Days of Week
Prerequisites MATH 2740/2090, 2150/2720
2 Instructor Contact Information 数学优化代写
Instructor(s) Name
Office Location 536 Machray Hall
Office Hours or Availability Please make an appointment by email.
Office Phone Number
I will usually respond to your email within 12 hrs.
3 Minimum Technological Requirements
The Faculty of Science has indicated that all students enrolled in this course must ensure they have access to the following:
- acomputing device where one can create and edit documents;
- aninternet connection capable of streaming videos and downloading software; and
- access to a web-cam and microphone.
- MATLAB, OCTAVE or similar mathematicalsoftware
4 Course Goals 数学优化代写
This course is intended for students interested in optimization and is especially useful for stu- dents studying data science. It introduces the theory and practice of optimization. Both un- constrained and constrained problems are considered, as well as continuous and discrete opti- mization. Applications to calculus of variations, statistics, data science, optimal control, signal processing and neural networks are given. Some computer programming will be required. A detailed list of topics is given below.
- Applications (1week)
- Convexsets, convex functions, subdifferentials (1 week)
- System of nonlinear equations (1week)
- Unconstrained optimization (basic theory, descent methods, conjugate gradient methods, Newton’smethod, quasi-Newton’s methods, BFGS) (1.5 weeks)
- Constrained optimization (basic theory, primal methods, penalty and barrier methods, du- ality) (2weeks)
- Linear programming (basic theory, Simplex method, duality, interior-point methods) (2 weeks)
- Quadratic programming (1week)
- Convex programming (1week)
- Integerprogramming (branch and bound, cutting planes) (1 week)
- Advanced topics (time permitting) such as probabilistic methods, vector optimiation, neu- ralnetworks, machine learning, methods for large-scale, non-smooth problems (1 week)
5 Using Copyrighted Materials
Please respect copyright. We will use copyrighted content in this course. I have ensured that the content I use is appropriately acknowledged and is copied in accordance with copyright laws and University guidelines. Copyrighted works, including those created by me, are made available for private study and research and must not be distributed in any format without permission. Do not upload copyrighted works to a learning management system (such as UM Learn), or any website, unless an exception to the Copyright Act applies or written permission has been confirmed. For more information, see the University’s Copyright Office website at http://umanitoba.ca/copyright/ or contact um [email protected].
Posting/uploading course materials to note-sharing sites is prohibited:
https://umanitoba.ca/admin/vp_admin/ofp/copyright/media/Note_sharing_Web_sites.pdf
6 Recording Class Lectures
Course materials, presentations and lectures that form part of this course are copyrighted mate- rial. No audio or video recording of lectures or presentations is allowed in any format, openly or surreptitiously, in whole or in part without permission. Course materials (both paper and digital) are for the participant’s private study and research.
7 References 数学优化代写
Course notes will be provided. The following references are either freely available online, or available electronically from the library.
- AnIntroduction to Optimization (4th Ed) by K. P. Chong and S. H. Zak, Wiley, 2013.
- ConvexOptimization by Boyd and L. Vandenberghe, Cambridge University Press, 2004.
- Linear and Nonlinear Programming (4th Ed.) by G. Luenberger and Y. Ye, Springer, 2016.
- Numerical Optimization (2nd Ed.) by J. Nocedal and S. J. Wright,Springer,
- Integer Programming by L. Wolsey, Wiley,1998
8 Course Technology
It is the University of Manitoba policy that all technology resources are to be used in a responsi- ble, efficient, ethical and legal manner. The student can use all technology in classroom setting only for educational purposes approved by instructor and/or the University of Manitoba Student Accessibility Services. Student should not participate in personal direct electronic messaging / posting activities (e-mail, texting, video or voice chat, wikis, blogs, social networking (e.g. Face- book) online and offline “gaming” during scheduled class time. If student is on call (emergency) the student should switch his/her cell phone on vibrate mode and leave the classroom before
using it. (§c S Kondrashov. Used with permission)
Course notes and other materials such as solutions to homeworks will be posted on UM Learn.
https://centre.cc.umanitoba.ca/technology/umlearn/.
The classes will take place on Zoom (https://zoom.us/j/96579687302) and will be recorded.
9 Class Communications
The University requires all students to activate an official University email account. For full details of the Electronic Communication with Students please visit: https://umanitoba.ca/ admin/governance/governing_documents/community/electronic_communication_with_students_ policy.html
Please note that all communication between myself and you as a student must comply with
the electronic communication with student policy—see http://umanitoba.ca/admin/governance/ governing_documents/community/electronic_communication_with_students_policy.html You are required to obtain and use your U of M email account for all communication between your- self and the university.
10 Expectations: I Expect You To 数学优化代写
Remote Learning Etiquette in the Virtual Classroom:
(i)Whileyou are strongly encouraged to attend class, there is no penalty for not attending.
(ii)Pleasefeel free to interrupt me during class if you have a question.
(iii)Please keep all course communications, including both public and private chats, profes- sional and respectful.
Professional Conduct
We recognize that these are unusual circumstances and some adjustments need to be made when working virtually. At the same time, we do want to remind you that University policies, such as the Respectful Work and Learning Environment policy, still apply, as do basic expecta- tions around how students will engage with each other and all members of the University. This means that when participating in classes, online meetings, etc., students are expected to behave professionally, and follow the same basic norms as they would in person, such as being properly clothed, not being impaired, and participating respectfully. Essentially, if you wouldn’t do it in an in-person class, don’t do it in a virtual setting.
Please familiarize yourself with the UM Respectful Work and Learning Environment (RWLE),
http://umanitoba.ca/admin/governance/media/Respectful_Work_and_Learning_Environment_ RWLE_Policy_-_2016_09_01.pdf
Section 2.5(c) of the Student Non-Academic Misconduct and Concerning Behaviour Proce-
dure describes types of inappropriate or disruptive behaviour https://umanitoba.ca/admin/ governance/media/Student_Non-Academic_Misconduct_and_Concerning_Behaviour_Procedure_-_2018_09_01.pdf
I will remain online for 10 minutes after the class time. I will treat you with respect and would appreciate the same courtesy in return. See Respectful Work and Learning Environment Policy. 数学优化代写
Academic Integrity:
(i)While students may discuss homework assignments, they must work independently when writing down the
(ii)For the course project, students must reference all
(iii)For the examination, students may use the course notes and assignments. No other sources (books or internet resources) are permitted. Students cannot contact anyone except the instructor during the exam. Throughout the final exam, students are expected to be visible infront of their webcam which must be turned
(iv)Students are NOT permitted to allow anyone other person access to their UM Learn ac- count. Doing so is a breach of the University’s Computer Usage Agreements:https://umanitoba.ca/ist/accounts/usage-agreement.html
11 Student Accessibility Services
If you are a student with a disability, please contact SAS for academic accommodation supports and services such as note-taking, interpreting, assistive technology and exam accommodations. Students who have, or think they may have, a disability (e.g. mental illness, learning, medical, hearing, injury-related, visual) are invited to contact SAS to arrange a confidential consultation.
Student Accessibility Services http://umanitoba.ca/student-supports/accessibility 520 University Centre
204 474 7423
student [email protected]
12 Grading
There will be 5 homeworks (7% each due approximately every two weeks), one final project (30% due at a mutally agreed upon date after the exam) and a 3-hour final exam (35% during the exam period on a mutually agreed upon date). By the withdrawal date, you will have been assessed in four homeworks.
Letter Grade | Percentage out of 100 | Grade Point Range | Final Grade Point |
A+ | 90-100 | 4.25-4.5 | 4.5 |
A | 85-89 | 3.75-4.24 | 4.0 |
B+ | 80-84 | 3.25-3.74 | 3.5 |
B | 75-79 | 2.75-3.24 | 3.0 |
C+ | 68-74 | 2.25-2.74 | 2.5 |
C | 60-67 | 2.0-2.24 | 2.0 |
D | 50-59 | Less than 2.0 | 1.0 |
F | Less than 50 | 0 |
Fall 2020 / Winter 2021 Grading Accommodation: Students may choose to exclude from their UM GPA either: (a) up to one (1) grade received in Fall term, and up to one (1) grade received in Winter term; or (b) up to one (1) grade received in a spanned course which runs through both Fall and Winter terms. Students must decide whether to exercise this option at the end of the academic year (during the period May 1 to July 1, 2021).
For more information, discuss with an academic advisor, or see https://umanitoba.ca/ coronavirus/students.
13 Assessment Grading Times 数学优化代写
Students should expect to receive their graded assessments by email within one week.
14 Assessment Extension and Late Submission & Missed Work Policy
Students are expected to email to me the solutions of their homework. The pdf must be in my mailbox by noon of the due date. There is a late penalty of 20% per day, starting at 12:00:01. I will only accept one submission (pdf). If you are unable to submit your solution due to technical issues (computer problem, power outage or loss of internet connectivity), please contact me as soon as you are able to.
Students who are unable to fulfill a course requirement for medical reasons will not be re- quired to submit medical notes. However, students are required to contact their instructor or academic advisor by email to inform them of the missed work and make arrangements for ex- tensions, deferrals, or make-up assignments.
Please contact an advisor in your faculty of registration and myself for a missed final exam (scheduled in the final examination period) within 48 hours of the date of the exam.
Please note that circumstances that result in missing multiple course assignments/tests/classes may require medical documentation (e.g., Authorized Withdrawal, Tuition Fee Appeal, Leave of Absence, or accessibility-related accommodations). Students are advised to speak with an advi- sor in their faculty/college/school of registration in this instance.
15 Voluntary Withdrawal & Authorized Withdrawal 数学优化代写
Voluntary Withdrawal Deadline: MARCH 31, 2021.
Students have the opportunity to voluntarily withdraw (VW) from this class on or before the date above. By this date, students will have received some feedback to gauge their progress in the course. Students may contact their instructor to make an appointment to review their progress in more detail, or discuss the VW option with an academic advisor in their home Faculty. Students enrolled in the course after the VW deadline above will be assigned a final grade. Note that students may retake a course they have decided to VW in the next semester (if available).
See http://umanitoba.ca/u1/know_yourself/573.html.
Authorized Withdrawal
At times medical or compassionate circumstances arise in a student’s life that prevent them from performing as they would in normal circumstances. If you are in this position, please con- tact a Faculty academic advisor to discuss your options. Be prepared to provide documentation to support/explain your circumstances. http://www.umanitoba.ca/student/resource/student_ advocacy/authorized-withdrawal/index.html
16 Academic Integrity
The Department of Mathematics, the Faculty of Science and the University of Manitoba all regard acts of academic dishonesty in quizzes, tests, examinations or assignments as serious offences and may assess a variety of penalties depending on the nature of the offence.
Acts of academic dishonesty include bringing unauthorized materials into a test or exam, copying from another student, plagiarism and examination personation. Students are advised to read the sections entitled Academic Integrity and Final Examinations: 4. Personations in the General Academic Regulations of the current Undergraduate Calendar. Note, in particular, that cell phones and pagers are explicitly listed as unauthorized materials, and hence may not be present during tests or examinations. 数学优化代写
Penalties for violation include being assigned a grade of zero on a test or assignment, be- ing assigned a grade of “F” in a course, compulsory withdrawal from a course or program, suspension from a course/program/faculty, or even expulsion from the University. Further in- formation about suggested minimum penalties assessed by the Faculty of Science can be found here: https://sci.umanitoba.ca/statement-on-academic-dishonesty/.
All students are advised to familiarize themselves with the Student Discipline Bylaw, which is printed in its entirety in the Student Guide; also available online or through the Office of the University Secretary.