Differential Equations Syllabus for 2019-2020
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Instructor Information

Office Location

Engineering 201C

Office Hours

Office Hours:

I will be holding my office hours everyday after class!  If you need me during the day, you can see my class schedule to see which room I wil be in and I will be happy to meet with you after ANY of my classes (not just the one you are in!)

** I am also always available through email if you need immediate assistance – please email tgmeraz@actx.edu (You will reach me by email much faster than by my office phone).

You will be provided with my cell phone number (and rules!) during the first class..

Course Information

COVID-19 Protocols

Recording Policy

Disability Statement

If you have a disability (learning, mental, physical) that affects your ability to participate effectively and have access to any program or service at Amarillo College please contact Disability Services at (806) 345-5639 . Our offices are located in the Student Service Center office 112. More information may be found at www.actx.edu/disability.
Disability Services facilitates access to all programs and services according to the ADA, Americans with Disabilities Act and Section 504 of the Rehabilitation Act, as well as other federal and state laws.

Amarillo College Web Accessibility Policy Statement

Amarillo College is committed to providing equal access to all programs and services, including all working, learning, and service environments that affect equal access for persons with disabilities. This commitment to provide equal access and opportunity for persons with disabilities is in compliance with federal and state law. Amarillo College also strives to provide Electronic and Information Resources (EIR) that are accessible to all authorized users.

If you find you are unable to access material in an accessible format please contact the Disability Services Office at (806) 345-5639 . This office will work in conjunction with other campus resources to address and accommodate your issue in a timely manner.

Statement for Mental Health and Advocacy & Resource Center:

As a student you may experience a range of issues that can cause barriers to learning, such as strained relationships, increased anxiety, alcohol/drug problems, feeling down, difficulty concentrating and/or lack of motivation. These mental health concerns or stressful events may lead to diminished academic performance or reduce a student's ability to participate in daily activities. Amarillo College offers services to assist you with addressing these and other concerns you may be experiencing. If you or someone you know are suffering from any of the aforementioned conditions, you can learn more about the broad range of confidential mental health services available on campus by calling the AC Counseling Center at 806-371-5900. The AC Counseling Center website is https://www.actx.edu/counseling/ . Also, if you are in need of social services (affordable housing, utilities, transportation, food, clothing, childcare, medical/dental/vision, legal), please call the AC Advocacy & Resource Center at 806-371-5439. The AC Advocacy & Resource Center website is https://www.actx.edu/arc

Amarillo College Tutoring for Success Policy:

The Tutoring for Success policy applies to any student whose grade or performance in the course falls below a departmentally determined minimum threshold. In either of those cases, the instructor will direct the student to the appropriate tutoring service, which may be faculty-led, discipline-specific, and/or general. Under this policy, the instructor will follow specific departmental guidelines governing the use, duration, and grade component of the tutoring need.

Administrative Drop Policy

Students who do not attend class on or prior to the census date will be administratively dropped. Effective Fall, 2016

Student Withdrawal Procedures

Students who wish to withdraw from a course must complete all steps indicated on the Academic Withdrawal Request form by the course withdrawal deadline.

NOTE: Students who are attending Texas institutions of higher education, for the first time fall 2007 and later, may not withdraw from more than six courses during their academic career. This withdrawal limitation does not include dual credit or developmental classes (Senate Bill 1231 Rule 4.10.) For more information on Drop and Withdrawal Policies, please visit the Registrar's Office Web site.

Privacy Statement

The Amarillo College Privacy Policy is found at https://www.actx.edu/-amarillo-college-privacy-notice , and applies to all Amarillo College students.  If you have questions about this privacy statement or you believe that your personal information has been released without your consent, send email to humanresources@actx.edu .

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 ResourcesStudent Resources Website

Department Expectations

Occupational License Disclaimer

Notice to Students enrolled in an educational program for preparation of issuance of certain occupational licenses:

Students enrolled in an educational program in preparation for obtaining certain occupational licenses are potentially ineligible for such license if the student has been convicted of an offense. For further information, please contact:

Melodie Graves
Justice Involved Advocate
Student Service Center 117
mgraves24@actx.edu
806-371-5995
Make appointment at https://melodiegraves.youcanbook.me

You can also contact the Legal Clinic, or the faculty member in charge of the educational program that you seek to enroll in. The further information you will receive will include notification to you of your right to request a criminal history evaluation letter from the licensing authority in order to clarify your particular situation.

Hours

(3 sem hrs; 3 lec, 1 lab)

Class Type

On Campus Course

Syllabus Information

Textbooks

Elementary Differential Equations with Boundary Value Problems, 6th ed.

By C. Henry Edwards and David E. Penney

Pearson/Prentice Hall Publishing Company

Supplies

The textbook for this course is required and should be brought to every class meeting.

A graphing calculator is needed for this course.  All classroom demonstrations will be done on the TI-84 Plus.  Other forms of Texas Instruments or Casio graphing calculators will also be permitted at the instructor’s discretion.

Other supplies include a notebook, college ruled notebook paper, pencils, erasers, and a straightedge, and of course your brain! 

Student Performance

Upon successful completion of this course, students will:

  1. Identify homogeneous equations, homogeneous equations with constant coefficients, and exact and linear differential equations.
  2. Solve ordinary differential equations and systems of equations using:
    • Direct integration
    • Separation of variables
    • Reduction of order
    • Methods of undetermined coefficients and variation of parameters
    • Series solutions
    • Operator methods for finding particular solutions
    • Laplace transform methods
  3. Determine particular solutions to differential equations with given boundary conditions or initial conditions.
  4. 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.

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. For a full discussion of appropriate behavior and student responsibilities, please refer to the Student Rights & Responsibilities Handbook which can be accessed using the link above or through the AC Website http://www.actx.edu .  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 a zero on an assignment or test, an F in the course, or permanent removal from the classroom.

Plagiarism and cheating will not be tolerated in any math course at Amarillo College.  On the first day of class, you will be required to sign and date a Course Contract. Included in the contract is the following statement:  "I fully understand that if I cheat, or attempt to cheat, on any test, I will receive an automatic "F" in the course.  This grade will go on my permanent transcript and cannot be removed.  Cheating includes, but is not limited to:  the use of a cell phone, notes, notecards, or books during an exam, copying work from another student, or leaving the classroom or Math Testing Center with a test or questions from a test.  Cheating also includes helping, or attempting to help, other students cheat on a test".  You will not be allowed to take your tests until this contract is signed and on file with your instructor.  Please Note:  NO CELL PHONES may be used during an exam in class or in the Math Testing Lab.  If your phone is out at any time for any reason during while in the Testing Room, you will receive an automatic "F" for the course.

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 student having trouble maintaining the pace should seek extra help from the instructor and/or a tutor.

Grading Criteria

Your semester grade (90-100 A, 80-89 B, 70-79 C, 60-69 D, Below 60 F) will be calculated using the following scale:

Homework Average………………..…....8%

Class-time Assignment..........................2%

Major and Final Exams.......……………90% (Weighted equally)

No late work will be accepted and no makeup exams will be given.

Class-Time Assignment:

We will be doing a specialized class-time assignment at least once a week. This assignment is due before you leave class that day.  NO LATE WORK WILL BE ACCEPTED.  

The class-time assignments will consist of varying exercises, discussions, etc.  Students are welcome, and encouraged, to propose ideas/topics for this assignment.  

DAILY HOMEWORK

Homework assignments will be given from either the textbook or a worksheet posted on Blackboard.  

Expect to have a homework assignment following each section covered in class.  Homework assignments for each chapter will be due on the day you take the exam.  A subset of problems from each section will be graded for correctness.  The two lowest homework grades will be dropped.  Note that no late homework will be accepted.

MAJOR EXAMS

At least three major (topic) exams will be given. In the event that we get behind schedule, you may be required to take an exam outside of class in the Math Testing Lab.  You must abide by all rules of the Math Testing Lab as stated on your course agreement the first day of class.  Note that no makeup exams will be given.  

Graded exams will be brought to class the FIRST day after graded.  Students will be handed back their exams to view in the classroom this ONE time only, after that all exams will be kept on file by the instructor and the student will be allowed to view the exam with the instructor present, and by appointment.

NO PICTURES or copying of exam problems will be permitted.  If a student is caught trying to duplicate any problem on the exam this will be considered cheating and the student will receive an F for the course, no exceptions. 

If you score below a 70 on an exam, you will be required to spend at least one hour receiving help in the Math Outreach Center or with your instructor before you will be allowed to take the next exam.

Final Exam:

The final exam will be cumulative, with an emphasis placed on material covered after the last major exam.  Everyone is expected to take the final exam and it will be administered on the date set forth by Amarillo College from 7:30-9:30 AM in our usual classroom.  The final does NOT replace your lowest exam score (see  Retake Exam below).  

Retake Exam:

Students will be allowed to retake ONE exam  ONLY if all previous exams have been taken.  If you choose to retake an exam, it must be taken BEFORE the last major exam.  If you choose not to retake your lowest exam then your overall average will consist of your other exams plus your homework.  You do not have to retake an exam, and only ONE exam may be retaken.

 If you choose to retake an exam the grade received on that exam will REPLACE the original exam grade even if it is a lower score. You have the option, after having retaken the exam, to choose to not have it graded and the original score will stand.  

Attendance

Although I do not give an attendance grade, the weekly class-time assignment will only be accepted if you are present.  Studets are also aware that daily attendance is conducive to satisfactory achievement. 

Note that the last day to withdrawal is Tuesday, November 26, 2019.  You will need me to sign your withdrawal request by 12PM (noon) in order to process your request in time.  Students who stop attending class and do not officially withdrawal will receive a grade of F if their average falls below a 60. 

Calendar

Tentative Schedule:  This schedule is subject to change by the instructor at any time. (Note that schedule is topic based, not chapter specific)

Tentative Schedule 

Topics

Week 1

Syllabus                                                                                 

Introduction to Differential Equations                                            

Solving Variables Separable DE's                                                                                                                          

Week 2

Solving Exact DE's, and integrating factor                               

Solving Homogeneous DE's                                                                                                                                                        

Week 3

Solving Linear DE's                                                                   

Solving DE's by grouping terms                                              

Week 4

Solving Bernoulli DE's                                                                          

Newton's Law of Cooling

Week 5

Growth/Decay of Various Kinds of Populations                                              

Week 6

Exam 1                                                                                    

Higher Ordered Linear DE's, Reduction of Order

Week 7

Homogeneous Linear DE's with Constant Coefficients                 

The Method of Undetermined Coefficients  

Week 8

The Method of Variation of Parameters                                     

Exam 2 

Week 9

Vibrations of Mass on a Spring:                                                        

Free, Undamped Motion                                                                          

Week 10

Free, Damped Motion                                                             

Electric Circuits

Week 11

*Exam 3

Week 12

The Laplace Transform                                                                      

The Inverse Laplace Transform

Week 13

The Inverse Laplace Transform                                                            

The Convolution

Week 14

Solving Initial Value Problem Using Laplace Transforms

Week 15

Retake Exam 

Week 16

Final Exam

 

Additional Information

Syllabus Created on:

08/22/19 10:30 PM

Last Edited on:

08/24/19 7:29 AM