Differential Equations Syllabus for 2014-2015
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Instructor Information

Office Location

TBA

Office Hours

Monday 12:00PM - 12:30PM
Other times by appointment

Course Information

Recording Policy

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Any student who, because of a disabling condition, may require some special arrangements in order to meet course requirements should contact disAbility Services (Student Service Center room 119, phone 371-5436) as soon as possible.

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Course

MATH-2320-001 Differential Equations

Prerequisites

Prerequisite: MATH 2415-minimum grade of C

Course Description

Ordinary differential equations, including linear equations, systems of equations, equations with variable coefficients, existence and uniqueness of solutions, series solutions, singular points, transform methods and boundary value problems; application of differential equations to real-world problems.

Student Resources Student Resources Website

Department Expectations

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Hours

(3 sem hrs; 3 lec, 1 lab)

Class Type

On Campus Course

Syllabus Information

Textbooks

\ Elementary Differential Equations 6th Edition

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\ By C. Henry Edwards and David E. Penney

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\ Pearson Prentice Hall

Supplies

\ You will need a graphing calculator for this course. All computations and demonstrations in class will be done using a TI-84 Plus. If you already own another graphing utility you need to check with me to see if it is an appropriate calculator for t

Student Performance

\ Upon successful completion of this course, students will:

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  1. \ Identify homogeneous equations, homogeneous equations with constant coefficients, and exact and linear differential equations.
  2. \
  3. \ Solve ordinary differential equations and systems of equations using:\
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    • \ Direct integration
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    • \ Separation of variables
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    • \ Reduction of order
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    • \ Methods of undetermined coefficients and variation of parameters
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    • \ Series solutions
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    • \ Operator methods for finding particular solutions
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    • \ Laplace transform methods
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  4. \
  5. \ Determine particular solutions to differential equations with given boundary conditions or initial conditions.
  6. \
  7. \ Analyze real-world problems in fields such as Biology, Chemistry, Economics, Engineering, and Physics, including problems related to population dynamics, mixtures, growth and decay, heating and cooling, electronic circuits, and Newtonian mechanics.
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Students Rights and Responsibilities

Student Rights and Responsibilities

Log in using the AC Connect Portal

In order to receive your AC Connect Email, you must log in through AC Connect at https://acconnect.actx.edu .

If you are an active staff or faculty member according to Human Resources, use "Exchange". All other students, use "AC Connect (Google) Email".

Expected Student Behavior

Students are expected to behave in the classroom in a manner that is supportive of the learning environment. Behaviors that are not supportive include but are not limited to: tardiness/leaving early, electronic device noises, talking during lecture, abusive, offensive, or disrespectful language and/or demeanor toward AC faculty, staff, students and/or property. Students who fail to comply with the standards outlined in the syllabus and/or "Student Rights & Responsibilities" will be subject to disciplinary action which may include but is not limited to: removal from the classroom, consultation with department chair and/or other AC authority, withdrawal from the course and/or the college.

The Texas Higher Education Coordinating Board sets the topics that must be covered in order to receive credit for a course. The instructor sets the pace to ensure that these requirements are met. Any students having trouble maintaining the pace should seek extra help from the instructor and/or a tutor.

You will be required to sign and date a Course Contract, and return it to me, before you can take any exams. As stated in this contract, knowingly or unknowingly participating in scholastic dishonesty will result in an automatic "F" in the course. Further action at a higher level may be sought if necessary. Scholastic dishonesty is clearly defined in the Student Rights and Responsibilities in the Student Conduct and Responsibilities section.

Note that CELL PHONES are not allowed in the Testing Room. If your cell phone is out AT ANY TIME, FOR ANY REASON, while in the testing room, you will receive an "F" for the course.

Grading Criteria

\ Your semester grade (90-100 A, 80-89 B, 70-79 C, 60-69 D, Below 60 F) will be determined as follows:

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\ Homework\ 10%
\ Quizzes\ 10%
\ Major Exams\ 60%
\ Final Exam\ 20%
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\ All grades will be posted on AC Connect under My Grades. Be aware that the Family Educational Rights and Privacy Act of 1974, as amended, prohibits instructors from disclosing information regarding grades over the phone, via email, or to a third party. Thus, if you need to discuss your grade with me, you must do so in person or check online.

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Attendance

Regular attendance is necessary for satisfactory achievement. If an absence occurs, the student is responsible for the information and assignments covered in class. Attendance will be taken during every class period. I do not accept late homework or give makeup exams.

Please remember the deadline for dropping a class at AC is April 23, 2015. If you stop attending class and your average drops below a 60 due to missed assignments and you do not officially drop the course by this deadline, you will receive an F for the course.

Calendar

Tentative Schedule Topics
Week 1 Syllabus
Introduction to Differential Equations
Week 2 Basic Separable DEs
Separable Equations
Week 3 Exact Equations
Linear Equations
Week 4 Substitutions (Homogeneous, Bernouilli, Z-Sub)
Compartmental Analysis
Week 5 Compartmental Analysis
Exam 1
Week 6 Heating and Cooling
Newtonian Mechanics
Week 7 Basic Theory of Linear DEs
Exam 2 (Take Home)
Reduction of Order
Week 8 Homogeneous Linear Equations with Constant Coefficients
Week 9 Spring Break
Week 10 The Method of Undetermined Coefficients
Variation of Parameters
Week 11 Spring/Mass Systems
Exam 3 (MTC)
Week 12 Electric Circuits
Homogeneous Linear Systems with Constant Coefficients
Week 13 Applications of Systems
The Laplace Transform
Week 14 The Inverse Laplace Transform
Solving Initial Value Problems Using Laplace Transforms
Week 15 Solving Initial Value Problems Using Laplace Transforms
Separable PDEs
Week 16 The Heat Equation
The Wave Equation

Additional Information

Homework
Homework problems will be assigned from each section once we have completed the section. The assigned problems will be posted on the AC Connect website under Content/Homework. The homework is due at the beginning of the next class meeting unless stated otherwise. Questions regarding the assignments will be discussed at the beginning of the class period as time permits. If you have questions that are not covered in class, you are encouraged to meet with me during my office hours or at a prearranged time. Note that late homework will not be accepted! The two lowest homework grades will be dropped.

Homework must be done in pencil. Anything that is wrong or needs to be corrected must be cleanly erased. Do not write, doodle, or perform mathematical calculations in the margins. Homework must be neat and legible. I will be the judge as to what is neat and legible.

Homework must be presented in an orderly manner with the problem running in a single column down the left half of the page. You use the right half of the page for graphs and drawings. Any problem (excluding graphs) with work presented in anything except the first column will not receive credit.

Quizzes
Take home quizzes will be given throughout the semester. I will not accept late quizzes. The lowest quiz grade will be dropped.

Major Exams
At least three exams will be given during the semester. I do not give makeup exams, and late take home exams are not accepted. If you miss an in class exam, the grade will be replaced with the final exam grade. If you do not turn in a take home exam, or you turn it in late, you will receive a 0, and it will not be replaced with the final exam. If you do not miss any exams during the semester, the final exam grade, if higher, will replace the lowest major exam grade.

Final Exam
A comprehensive final exam will be given from 9:00AM - 11:00AM on Wednesday, May 13, 2015.

Syllabus Created on:

11/30/-1 12:00 AM

Last Edited on:

11/30/-1 12:00 AM