M427J: Differential Equations with Linear Algebra - Fall Semester 2015 Syllabus, Lecture notes of Differential Equations

M427J is a course offered in the Fall Semester of 2015 that covers topics such as ordinary differential equations, introduction to vector spaces, linear operators and eigenvalues, systems of linear differential equations, introduction to partial differential equations and Fourier series. The course is aimed at engineering and science students and focuses on teaching basic techniques to solve problems arising from applications. The course carries the Quantitative Reasoning flag and comprises of quizzes on homework, two midterm exams, and a cumulative final exam. The course textbook is Differential Equations and Their Applications (Fourth Edition) by Martin Braun, Springer.

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M427J: Differential Equations with Linear Algebra
Unique Number 53285
Fall Semester 2015
Course Description:
Topics to be covered in M427J includes ordinary differential equations, introduc-
tion to vector spaces, linear operators and eigenvalues, systems of linear differential equations, introduction
to partial differential equations and Fourier series. Geared to an audience primarily consisting of engineer-
ing and science students, the course aims to teach the basic techniques to solve problems arising from
applications. The approach is problem-oriented and not particularly theoretical.
Prerequisites:
M408D, M408L, M408S or equivalent with at least a C- grade.
Instructor:
Bubacarr Bah
Teaching Assistants:
Iordan Ganev
Lecture Timings and Venue:
Modays, Wednesdays and Fridays: 1 - 2pm in JGB 2.216.
Discussion Sessions Timings and Venue:
Tuesdays and Thursdays: 5 - 6pm in CPE 2.208.
Course Information:
This course will use canvas. The syllabus, class announcements, homeworks,
solutions and supplementary learning materials will be posted there. A link to the course information will
be provided on my website: www.ma.utexas.edu/users/bah
Course Textbook:
Differential Equations and Their Applications (Fourth Edition) by Martin Braun,
Springer
Assessment:
This course carries the Quantitative Reasoning flag. Quantitative Reasoning courses are
designed to equip you with skills that are necessary for understanding the types of quantitative arguments
you will regularly encounter in your adult and professional life. You should therefore expect a substantial
portion of your grade to come from your use of quantitative skills to analyze real-world problems.
Your assessment for this course will comprise of quizzes on homeworks, two midterm exams, and a cumu-
lative final exam. The final score will be computed according to the following breakdown:
1. Homeworks/quizzes: 15 %
2. Two midterm exams: 50%
3. Final exam: 35%
Your final score will be rounded to the nearest integer and you will be assigned a final letter grade which
will be based on the follwoing grading scheme:
92–100 90–91 88–89 82–87 80–81 77–79 63–76 60–62 58–59 53–57 51–52 50
A A- B+ B B- C+ C C- D+ D D- F
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M427J: Differential Equations with Linear Algebra

Unique Number 53285

Fall Semester 2015

Course Description: Topics to be covered in M427J includes ordinary differential equations, introduc- tion to vector spaces, linear operators and eigenvalues, systems of linear differential equations, introduction to partial differential equations and Fourier series. Geared to an audience primarily consisting of engineer- ing and science students, the course aims to teach the basic techniques to solve problems arising from applications. The approach is problem-oriented and not particularly theoretical.

Prerequisites: M408D, M408L, M408S or equivalent with at least a C- grade.

Instructor: Bubacarr Bah

Teaching Assistants: Iordan Ganev

Lecture Timings and Venue: Modays, Wednesdays and Fridays: 1 - 2pm in JGB 2.216.

Discussion Sessions Timings and Venue: Tuesdays and Thursdays: 5 - 6pm in CPE 2.208.

Course Information: This course will use canvas. The syllabus, class announcements, homeworks, solutions and supplementary learning materials will be posted there. A link to the course information will be provided on my website: www.ma.utexas.edu/users/bah

Course Textbook: Differential Equations and Their Applications (Fourth Edition) by Martin Braun, Springer

Assessment: This course carries the Quantitative Reasoning flag. Quantitative Reasoning courses are designed to equip you with skills that are necessary for understanding the types of quantitative arguments you will regularly encounter in your adult and professional life. You should therefore expect a substantial portion of your grade to come from your use of quantitative skills to analyze real-world problems.

Your assessment for this course will comprise of quizzes on homeworks, two midterm exams, and a cumu- lative final exam. The final score will be computed according to the following breakdown:

  1. Homeworks/quizzes: 15 %
  2. Two midterm exams: 50%
  3. Final exam: 35%

Your final score will be rounded to the nearest integer and you will be assigned a final letter grade which will be based on the follwoing grading scheme:

A A- B+ B B- C+ C C- D+ D D- F

Homeworks/Quizzzes: There will be eleven homework assigments. Each assignment will be posted on canvas approximately one week before it is due. Assignments will be due on most Tuesdays; see schedule below. The main purpose of the homework is learning, not assessment. So the homework itself will not be graded but there will be a short quiz during discussion session each Tuesday that homework is due. Each quiz will consist of a couple of the homework problems from that week - verbatim. So if you work deligently on the homework, you will be well prepared for the quiz.

  • The lowest three quiz scores will be dropped to allow for valid excues.
  • The remaining eight scores will be averaged to determine the 15% homework score.
  • There will be no make-up quizzes except for religious holidays (see below). So a missed quiz counts as zero, hence qualifies as one of your three dropped scores.

Midterm Exams: We will have two midterm exams to be held during class time on Friday October 2 and on Monday November 9, see schedule below. Each midterm will count for 25% of your overall score.

  • No exam scores will be dropped.
  • If you miss an exam, you must contact me before the exam and provide a valid written serious excuse in order to be allowed to take a make-up.

Final Exam: There will a cumulative final exam that will count for 35% of your overall score. It will be held on Saturday, December 12, 2 - 5pm. The location will be announced later. In the final exam you are permitted to to bring a single 8. 5 ′′^ × 11 ′′^ double-sided sheet of your handwritten notes. No other notes, books, calculators, phones, or electronic devices are permitted during the exams.

Note: A valid photo ID must be available to present upon request at all exams.

Academic Dishonesty: The University of Texas Honor Code applies to the course. All work you submit in this course, whether homework or exam must be your own. You are allowed and encouraged to discuss assignments with other students in the class but you should submit your homework individually. Copying each others answers will be penalise by a zero score. Instances of cheating will be dealt with severely.

Special Needs: Any student with a documented disability who requires academic accommodations should contact Services for Students with Disabilities (SSD) at (512) 471-6259 (voice) or 1-866-329- (video phone).

Student Resources:

  • Counselling and Mental Health Center, Student Services Bldg (SSB), 5th Floor, Hours: M–F 8am–5pm, (512) 471-3515, www.cmhc.utexas.edu
  • Sanger Learning Center, http://www.utexas.edu/ugs/slc

Religious Holidays: By UT Austin policy, you must notify me of your pending absence at least fourteen days prior to the date of observance of a religious holiday. If you miss a class, a homework or an exam to observe a religious holiday, you will be given an opportunity to do the missed work within a reasonable time after the absence.

Deadlines:

  • August 31: Last day of the official add/drop period.
  • September 11: Last day to drop a class for a possible refund.
  • November 03: Last day an undergraduate student may, with the dean’s approval, drop a class except for urgent and substantiated, nonacademic reasons.