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#= MA 303 Linear Analysis
= MA 303 (001) Fall 2023 Linear Analysis
Instructor: Chao Chen
Email: chao_chen@ncsu.edu (Please include course number in the subject.)
Times: TuTh 3:00PM - 4:15PM
Location: 3216 Broughton Hall
Office hours: SAS 4236, TuTh 1:00PM - 2:00PM and by appointment
Textbook: N. J. Rose, /Introduction to Linear Analysis/, Department of Mathematics, NC State University, 1999 (hardcopy available at the bookstore)
== Course Description
This course is about the analysis of discrete and continuous dynamical systems, or systems that change with time. Specific topics include
- linear difference equations of first and second order, compound interest and amortization
- linear differential equations of first and second order
- matrices and systems of linear equations, eigenvalues, diagonalization, systems of difference and differential equations.
== Homework
Homework assignments will be given weekly, and students have one week to work on each assignment.
A single PDF file for each homework need to be uploaded to Moodle.
- Computer typeset papers (using, e.g., LaTeX) are preferred.
- Handwritten papers scanned to a PDF will be accepted as long as the handwriting is legible.
-- On an iPhone you can use the Notes app - tap the camera icon and choose Scan Documents.
-- On an Android phone, you can scan using the [https://support.google.com/drive/answer/3145835?co=GENIE.Platform%3DAndroid&hl=en&oco=0 Google Drive app].
Homework assignments will be graded partially (one or two problems).
#- There is no partial credit for homework exercises.
- Any imperfections in a submitted solution (except for minor typos) will render the entire solution incorrect (no partial credit).
- Grading requests must be initiated within one week after grades are released, if you believe a problem on the grade.
See [chrome-extension://efaidnbmnnnibpcajpcglclefindmkaj/https://faculty.chass.ncsu.edu/slatta/hi216/Excused_Absences.pdf Policy on Excused Absences & Missed Assignments] and [https://dasa.ncsu.edu/support-and-advocacy/find-help/absence-notification/ Absence Verification].
== Exams
Three midterm exams (during class time): September 12 (Tuesday), October 12 (Thursday), and November 14 (Tuesday)
#Three midterm exams: September 12 (Tuesday), October 12 (Thursday), and November 14 (Tuesday)
Final exam: December 12 (Tuesday) 3:30PM - 6:00PM
#Final exam: December 12 (Tuesday)
#(All exams will be given in Moodle.) #They will be in multiple choice format.
== Grading
Numerical grade = homework (10\%) \+ 3 x midterms (20\%) \+ final (30\%)
Letter grade
- 97 and above is A+, starting from 93 and below 97 is A, starting from 90 and below 93 is A-.
- Similar for the B, C, and D ranges.
- Anything below 60 is F.
== Moodle
The Moodle page of this course is [https://moodle-courses2324.wolfware.ncsu.edu/course/view.php?id=3432 here].
== Panopto
Lectures will be videotaped and made available via [https://ncsu.hosted.panopto.com/Panopto/Pages/Sessions/List.aspx\#folderID=8fa5be56-1fdc-41b0-95b2-b05600cb7ff7 Panopto].
(Classroom attendance is recommended on the substance.)
== Schedule
Week 1
- Aug. 22: Difference Equations
- AUg. 24: Difference Equations, Compound Interest
Week 2
- Aug. 29: Compound Interest
- Aug. 31: Mortgage Amortizations, 1st Order Difference Equation
Week 3
- Sep. 5: 1st Order Difference Equations
- Sep. 7: Complex Numbers
Week 4
- Sep. 12: Complex Numbers, Fibonacci Numbers
- Sep. 14: Midterm Test 1
Week 5
- Sep. 19: Wellness Day (no class)
- sep. 21: Properties of Solutions of 2nd Order Linear Difference Equations
Week 6
- Sep. 26: Homogeneous 2nd Order Linear Difference Equation
- Sep. 28: Non-homogeneous 2nd Order Linear Difference Equation
Week 7
- Oct. 3: Economic Model, Gambler's Ruin
- Oct. 5: Differential Equations
Week 8
- Oct. 10: Fall break (no class)
- Oct. 12: Separation of Variables
Week 9
- Oct. 16: 1st Order and 2nd Order Linear Differential Equations
- Oct. 19: Midterm Test 2
Week 10
- Oct. 24: Vectors and Matrices
- Oct. 26: Matrix Notation for Linear Systems, Properties of Solutions
Week 11
- Oct. 31: Elementary Operations
- Nov. 2: Solution of Linear Systems, Consistency of Linear Systems
Week 12
- Nov. 7: Matrix Algebra
- Nov. 9: Powers, Transposes, Inverses
Week 13
- Nov. 14: Inverses, Linear Dependence and Linear Independence
- Nov. 16: Midterm Test 3
Week 14
- Nov. 21: Determinants
- Nov. 23: Thanksgiving Holiday (no class)
Week 15
- Nov. 28: Eigenvalues, Eigenvectors
- Nov. 30: Systems of Differential Equations
Week 16
- Dec. 5: Solutions of Systems of Difference Equations
#Dec. 12: Final exam
== Special Needs
Accommodations will be made for students with special needs, who must be properly registered with the [https://dro.dasa.ncsu.edu/ Disability Resource Office]. (Please contact me as soon as possible.)
== Academic integrity and honesty
Students are required to comply with the university policy on academic integrity found in the [https://policies.ncsu.edu/policy/pol-11-35-01/ Code of Student Conduct 11.35.01 sections 8 and 9]. Therefore, students are required to uphold the Pack Pledge: “I have neither given nor received unauthorized aid on this test or assignment.” Violations of academic integrity will be handled in accordance with the [https://policies.ncsu.edu/regulation/reg-11-35-02/ Student Discipline Procedures].
Please refer to the [https://studentconduct.dasa.ncsu.edu/academic-integrity-overview/ Academic Integrity] web page for a detailed explanation of the University’s policies on academic integrity and some of the common understandings related to those policies.