California State University Long Beach
Department of Mathematics
Math 370A: Applied Mathematics I
Sec 01, # 5909
Spring 2022
Instructor: Farid Faridpak
Scheduled Meeting:
1) (VIA ZOOM) MW 8:00 AM – 9:15 AM (Online, Synchronous, through Feb 3)
2) MW 8:00 AM – 9:15 AM LA5 -169 (Feb 7 to end of the semester)
NOTE: The above is the latest update on Scheduled Meeting
Zoom Link: https://csulb.zoom.us/j/2473648690
Zoom Office Hour: TTh 9:30-10:30 AM via zoom
E-mail: farid.faridpak@csulb.edu
Required Textbook & Supplement: Elementary Differential Equations and Boundary Value Problems, 11th Edition,
William E. Boyce and Richard C. DiPrima, Wiley, 2017
Class information: Additional information and course support is available on-line at Beach Board; support includes
pertinent announcements, and other related documents.
Prerequisites: Math 123 with a minimum grade of C or better
Course Objectives: Differential equation is a beautiful and highly interesting subject within mathematics as well as a
powerful tool in its broad applications to the physical sciences and engineering. Diverse physical processes from
mechanical vibrations and electrical oscillations to chemical mixing are governed by differential equations. Hence, a
proper knowledge of the mathematics and their solutions shed new light and deeper understanding into those physical
processes that cannot be obtained otherwise. This information in turn aids engineers in the analysis and design of the
physical system at hands. In this course, students will learn to write down those governing differential equations,
obtain solutions via analytical and numerical techniques; interpret the solutions in order to obtain the physical
meaning. Upon successful completion of this course, students will be well prepared to handle the mathematics found
in their advance engineering courses.
Course Description:
Topics that will be covered in this course include first order differential equations, linear second order differential
equations, numerical solution of initial value problems, Laplace transform, matrix algebra, eigenvalues, eigenvectors,
and applications. Not open for credit to mathematics majors.
Grading Criteria:
Description
Quizzes
Exams (3)
Homework
Final Exam (Comprehensive)
Total Percent
Percent %
8
66
4
22
------------------100 %
Grade %
A 90 - 100
B 80 - 89
C 70 - 79
D 60 - 69
F 0 - 59
Attendance Requirements:
Attendance is the responsibility of the student. Excessive absence will affect overall class performance.
Homework:
Homework problems are listed at the end of this syllabus. They will be collected every two weeks. IT’S DUE ON
SUNDAY @ 11:59 PM EVERY TWO WEEKS. (SUBMIT TO BEACH BOARD DROP BOX)
I will announce the homework assignments that are due at the end of each week during the class. However, keep in
mind submission of assignments are every 2 weeks.
THE GRADING SYSTEM FOR EACH HOMEWORK SET IS CREDIT/NO CREDIT. Grading is based on
completion and accuracy. No points will be awarded for answers only. I will randomly select problems to grade.
LATE HOMEWORK WILL NOT BE ACCEPTED FOR ANY REASON.
The exams are based on homework and Quiz and lecture notes. Therefore, it is important to DO all the homework
problems.
Quizzes:
Weekly quizzes will be given out (starting the third week) on WEDNESDAY (except the exam week). EACH QUIZ
IS DUE @ 11:59 PM ON WEDNESDAY. I will post the quiz on content tab of the beach board right after the class
ends on Wednesday. SUBMIT TO BEACH BOARD DROP BOX by 11:59 PM. LATER WILL NOT BE
ACCEPTED FOR ANY REASON
Quizzes will allow the student to see how they are doing with the materials. Quizzes will also help students to prepare
for exams.
Examinations:
There will be three exams, tentatively scheduled on the Wednesday of week number 4, 8, and 12 of the semester,
based on materials covered in lectures, homework and quizzes. There are no zoom meeting on exam days. You need
to go directly to beach board, then click on content tab and you will see the exam posted (exactly at 8:00 a.m.).
SUBMIT TO BEACH BOARD DROP BOX by 9:25 AM. LATER WILL NOT BE ACCEPTED FOR ANY
REASON
The exams are based on homework and Quiz and lecture notes.
There will be a comprehensive final exam during the week of finals. If you fail to take an exam, you will receive zero
point. Exams cannot be scheduled for an alternate day or time and any missed exams cannot be made up. In case of
emergency, you must contact the instructor, and with the proper documentations, a make-up exam will be granted.
Cheating/Plagiarism:
Cheating and plagiarism are in violation of the California Administrative Code, Title 5, Section 41301. CSULB has
adopted a specific policy with respect to the violations of this nature (see the Bulletin or Schedule of Classes). Any
students in violation of this code and policy in any assignments or examinations related to this course shall be
subjected to the options specified in the policy statement. This may result in the student receiving a failing grade in the
course or in certain circumstances, being expelled from the University.
Disabilities: Students with disabilities who require reasonable academic accommodations are strongly encouraged to
register with the Bob Murphy Access Center (BMAC) Bob Murphy Access Center (BMAC) each semester.
Students must submit supporting disability documentation to BMAC and provide faculty of any BMAC verification of
accommodations as early in the semester as possible. BMAC is located in the Shakarian Student Success Center,
Room 110 and can also be reached by phone at (562) 985-5401 or via email at bmac@csulb.edu. The policy of the
CSU is to make its programs, services, and activities accessible to students, faculty, staff, and the general public, with
disabilities who visit or attend a campus-sponsored event.
Remarks:
• Students are responsible for all announcements and materials covered during their absence.
• The instructor or office staffs have no power to add or change a class for a student. Only the student can add or
change his/her class by going to MyCSULB account or in person at Enrollment Service during the registration
period.
• Class Safety During COVID
To facilitate safe and comfortable in-person learning environments:
1. Students are required to be fully vaccinated and boosted to physically access the classroom or class-related
experiences on- or off-campus, unless approved for a legitimate exemption. Those with a legitimate exemption
are required to test weekly.
2. All those physically attending class or class-related experiences on or off campus must wear approved face
coverings over both the nose and mouth while indoors (see https://www.csulb.edu/covid-19).
3. All students, faculty, and guests physically attending class or class-related experiences on or off campus
must complete the daily COVID-prescreen via their SSO prior to arrival. Check marks can be confirmed daily
by professors and University staff.
4. Not following COVID-19 health & safety policies (including failing to attest vaccination status, failing to
weekly test, etc.) can result in suspension from BeachBoard and/or disciplinary sanctions through Student
Conduct. Faculty are not expected to make course accommodations for BeachBoard suspensions due to the
student’s failure to comply with University policies.
5. Students may be asked to sit in the same seat for each class meeting to facilitate contact tracing.
Be sure to regularly check your CSULB email and the CSULB Covid-19 website both for the most up-to-date
information and for specific information on protocols for exposures to or positive tests for COVID-19.
Withdrawal Policy &Important Dates:
Students may drop classes during the first two weeks of classes (until 2/2/2022) and the class will not appear on their
permanent records.
If withdrawing after the second week of instruction, a “W” will appear on the student’s permanent record. Students
should consider the consequences of this action and consult their academic advisor. After the second week of the term,
withdrawals can impact progress towards degree, future course enrollment, and future financial aid eligibility. In
addition, the withdrawal units will be applied to the student's Undergraduate Withdrawal Limit (18 units over the
course of their entire CSULB undergraduate career). Students should also be aware that after the 2nd week of
instruction, class withdrawals are permissible only for serious and compelling reasons. The definition of serious and
compelling reasons as applied by faculty and administrators will be defined more narrowly as the term progresses.
Please be advised that poor academic performance or poor time management is not justification for withdrawing
from classes.
Withdrawal during the final three weeks of instruction is not permitted unless there are circumstances beyond the
student’s control in which a serious personal life situation, illness or accident prevents the student from continuing in
their classes and Incompletes or other arrangements with instructors are not possible. Categorized as a Catastrophic
Withdrawal, such requests require thorough and credible documentation, normally involve withdrawal of all courses
in the term, and are not intended to be made more than once during a student’s academic career. In order to be
considered, requests for Catastrophic Withdrawals require support from the instructor, chairperson of the department
offering the class, and the Dean of the college in which the class is taught. Final approval can only be granted by
Office of the Provost. *Catastrophic Withdrawal may be initiated at any point during the semester, but no later than
the last day of classes in the requested term. For more information, check the link below:
Drops and Withdrawals,
It’s the students’ responsibility to withdraw from the class.
Wednesday
Feb 2
:
Withdraw without the “W”
Friday
Apr 15
:
Withdraw with the “W”
1. The CNSM is committed to providing a safe and positive learning environment and has established a zero-tolerance
policy for any sexual/gender-based misconduct, including, but not limited to sexual harassment,
assault, dating violence, stalking for all faculty, staff, and students.
(Please note that Title IX reporting is being handled by Equity & Diversity for both student and employee concerns.)
The following entities at CSULB have been established to provide support and assistance for victims of sexual harassment
and assault: Equity & Diversity for Title IX needs (http://www.csulb.edu/equity-diversity/title-ix); CSULB University Police
Department (https://www.csulb.edu/university-police/title-ix); The Women's & Gender Equity Center
(http://web.csulb.edu/divisions/students/wrc/sexual_assault/); and the Counseling & Psychological Services (CAPS) Office
(http://web.csulb.edu/divisions/students/caps/); and Student Health Services
(http://web.csulb.edu/divisions/students/shs/sexual_assault.htm) and https://cla.csulb.edu/natb/ ).
For more information regarding CSULB’s policies on sexual misconduct and discrimination (http://www.csulb.edu/titleix).
2. As members of The Beach community, we practice tolerance and denounce hate and prejudice. Our classroom will
strive to be a place of mutual respect where the focus is on learning and student success.
Sexual Assault, Rape, Dating/Domestic Violence, & Stalking
Title IX prohibits gender discrimination, including sexual harassment and sexual misconduct. If you have experienced sexual
harassment, sexual assault, rape, dating/domestic violence, or stalking, the campus confidential Victim’s Advocate is available
to help. Jaqueline Urtez (e: advocate@csulb.edu, p: (562) 985-2668) can provide free and confidential support,
accommodations, and referrals for victims without having to report the assault to campus authorities. While students are
welcome to discuss assaults with faculty, both faculty and teaching assistants are mandatory reporters who are required to
report all incidents of sexual harassment/misconduct to the Title IX office for follow-up and possible investigation. Students
who do wish to report the assault for possible investigation may contact the confidential victim’s advocate, who can help them
through the reporting process, or they can report the assault directly to the Title IX Office by completing an online reporting
form at https://www.csulb.edu/equity-diversity/title-ix or contacting the Office of Equity & Diversity at OED@csulb.edu.
3. The Office of Equity and Diversity makes available the BEACHIX@LB campaign posters,
bookmarks, handbills and booklets throughout campus physically and
virtually. The BEACHIX@LB campaign asks community partners to:
Refer student concerns to support services and Equity & Diversity;
Intervene appropriately when they see an issue arising;
Support those who may experiencing a Title IX related issue; and Educate themselves,
students, and colleagues about Title IX, campus resources, and sexual misconduct prevention
and awareness.
Wherever we can, we are also attempting to share our Title IX resources electronically so
these materials may be forwarded quickly and in a eco-friendly manner to students and
colleagues. More information regarding Title IX and our campus resources may be found on
the Equity & Diversity website.
Final Exam Date:
MONDAY
MAY 9
8:00 AM - 10:00 AM
The instructor reserves the right to alter policies on this syllabus when necessary. Any changes will be announced
during class meetings well ahead of time.
Technology Requirements and Support
INTERNET ACCESS
Since this is an online course, you will need access to a computer and reliable internet connection. Students may
access campus WiFi in public spaces on campus as long as social distancing is observed; a map of on-campus outdoor
WiFi coverage is available. Similarly, the Los Angeles County internet locator webpage has in interactive map
showing possible locations of publicly accessible WiFi hotspots throughout the county.
LECTURE & EXAMS:
You can access both BeachBoard and Zoom through your Single Sign-On (SSO) dashboard; click on either the
BEACHBOARD or ZOOM chiclet. For BeachBoard, use the latest versions of Google Chrome (PC and Mac),
Mozilla Firefox (PC and Mac), or Safari (Mac) for the best user experience and compatibility if you are downloading
or viewing Microsoft documents from a course.
FOR EXAMS YOU ALSO NEED:
Document Scanner
• App for mobile devices to convert paper-based or handwritten work to a PDF, such as Adobe Scan or
Microsoft Office Lens; both available as a free download from the Apple Store or Google Play
Brightspace Pulse is the free mobile app companion to BeachBoard and is available as a free download from
the Apple Store or Google Play (search for "Brightspace Pulse"). Zoom also has a free mobile app (search for
"Zoom").
HARDWARE
Laptop or Desktop Operating Systems
• Mac OSX 10.9 and newer
• Windows 8.1 and newer
• Ubuntu 16.04 or higher
Tablet Operating Systems
• iPadOS 13 and newer
• Surface Pro 2 and newer running Windows 8.1 and newer
Mobile Operating Systems
• iOS 8.0 and newer
• Android 5.0x and newer
Computer Processor and RAM
• Use a computer no older than five (5) years when possible
• 2GHz processor or higher
• 4GB of RAM or higher
Video
• Webcam – built-in or USB plug-in
Sound
• Speakers and microphone – built-in, USB plug-in, or wireless Bluetooth
Bandwidth
• Sending and receiving 1080p HD video requires 3.0 Mbps (up/down)
SOFTWARE
Productivity Suite
• Microsoft Office 365 (includes Word, Excel, PowerPoint, Outlook, OneNote, and OneDrive) is available free
to CSULB students and can be accessed through your Single Sign-On (SSO) dashboard by clicking on the
OFFICE 365 chiclet
Document Scanner
• App for mobile devices to convert paper-based or handwritten work to a PDF, such as Adobe Scan or
Microsoft Office Lens; both available as a free download from the Apple Store or Google Play
Document Reader
• App such as Adobe Acrobat Reader for viewing, printing, and commenting on PDF documents; available as a
free download
TECHNICAL SKILLS
To complete this course successfully, you should be able to:
• Use computer components such as a keyboard, mouse, or touchpad, to navigate the course BeachBoard site
• Run software programs, such as a PDF reader and a word processor, to view course resources and compose
written answers to assignments
• Possess basic typing skills to engage in peer discussions, respond to writing prompts, and compose emails to
the instructor and/or your peers
• Play embedded videos, using the pause and time display features as needed
• Download and upload file attachments
• Attend and participate in Zoom meetings with video and sound enabled
TECHNICAL SUPPORT
Training and technical assistance specific to BeachBoard is available via BeachBoard Support. In the event that a
technical breakdown makes submitting work through BeachBoard impossible, I will either extend the due date for that
assignment or contact you with alternative instructions for submission (e.g., via email).
Training and technical assistance specific to Zoom is available via the Zoom Help Center online, or by phone at 888799-9666.
If at any time during the course you need general technical assistance, please contact the CSULB Technology Help
Desk online, or by phone at 562-985-4959.
Week
Section
Topics
1
1.1, 1.3, 2.1
Introduction; classification,
solving first order D.E.
2.2, 2.3
Separable equations and
applications of first order D.E.
3
2.6
Exact first order D.E., Euler’s
method
4
3.1-3.3
Homogeneous second order
D.E.; structures of their
solutions
5
3.4, 3.7
Repeated Roots; applications to
Mechanical and Electrical
systems
2
6
4.2, 3.5, 4.3
7
3.6, 3.8
8
6.1, 6.2
9
10
11
12
13
14
15
Higher order D.E.; method of
undetermined coefficients
Variation of parameters;
Applications: Force Vibrations
Introduction to the Laplace
Transform
6.3, 6.4
Using Laplace Transform to
solve D.E. involving step
functions
6.5, 6.6
Using the Laplace Transform to
solve D.E. with delta functions;
convolution
7.1, 7.2
Introduction to systems of D.E.;
matrix algebra, elimination,
inverses
7.3
7.5, 7.6
7.9
Finding determinants,
eigenvalues, eigenvectors
Quadratic forms; solving
system of first order D.E. with
constant coefficients
Solving nonhomogeneous
systems of D.E.
Review for Comprehensive
Final Exam
Tentative schedule
TENTATIVE HOMEWORK LIST
HW SET #1
Section 1.3 # 1, 2, 3, 4, 7, 9, 10
Section 2.1 # 3c, 5c, 7c, 9c, 11c, 20
Section 2.2 # 1, 2, 5, 11a, 13a, 15a
Section 2.3 # 1, 3a, 5ab, 16ab, 20ab
Section 2.6 # 1, 3, 5, 7, 10
---------------------------------EXAM # 1-------------------------------------------HW SET #2
Section 3.1 # 2, 4, 8, 9, 13
Section 3.2 # 1, 2, 3, 11, 14
Section 3.3 # 6, 8, 9, 12, 13, 15, 17a, 19
Section 3.4 # 1, 2, 3, 7, 10, 11
Section 3.7 # 3, 4, 5, 6
Section 3.5 # 1, 5, 6, 8, 9, 12, 13, 16a
Section 3.6 # 2, 5, 6, 7, 10, 12, 13
Section 3.8 # 4, 5abd, 7a
Section 4.2 # 8, 9, 10, 13, 15, 20
.
--------------------------------EXAM # 2 -----------------------------------------------HW SET #3
Section 6.1 # 4b, 5, 6, 9, 10, 12, 16, 17
Section 6.2 # 3, 4, 6, 9, 10, 11, 16
Section 6.3 # 1, 2, 5, 8, 9, 10, 14, 15
Section 6.4 # 1b, 3b, 4b, 5b, 7b
Section 6.5 # 1a, 3a, 4a, 5a, 7a
Section 6.6 # 4, 5, 7, 9
-------------------------------EXAM # 3 ----------------------------------------------HW SET #4
Section 7.1 # 1, 2, 3, 4
Section 7.2 # 1-13odd, 16c, 17, 19
Section 7.3 # 1, 2, 3, 14, 16, 17, 20
Section 7.5 # 1b, 3b, 7, 8, 10, 11
Section 7.6 # 1b, 2b, 5, 7, 8
Section 7.9 # 1, 3, 5, 8