625.201.81 - General Applied Mathematics

Course Structure

The course materials are divided into modules which can be accessed by clicking Modules on the menu. A module will have several sections including the overview, content, readings, discussions, and assignments. You are encouraged to preview all sections of the module before starting. Most modules run for a period of seven (7) days, exceptions are noted in the Course Outline. You should regularly check the Calendar and Announcements for assignment due dates.

Course Topics

• Introduction to Matrices and Solution of Systems of Algebraic Equations
• Vectors and Spaces
• Matrices and Linear Equations
• Eigenvalues and Eigenvectors
• Calculus Review
• Differential Calculus of Functions of Several Variables
• Vectors in 3-Space
• Curves, Surfaces, and Volumes
• Scalar and Vector Field Theory
• First-Order Differential Equations and Modeling
• Second and Higher Order Ordinary Differential Equations

Course Goals

To review and to expose the student to the fundamental mathematical techniques used in science and engineering, and to demonstrate these techniques by the solution of problems in various disciplines.

Course Learning Outcomes (CLOs)

• Solve derivatives
• Calculate integrals
• Solve logarithm and exponential problems
• Apply matrix methods to solve systems of linear equations
• Represent linear transformations between vector spaces
• Solve eigenvalue/eigenvector problems
• Apply vector algebra and calculus methods to solve engineering problems
• Calculate line and surface integrals in scalar and vector fields for various geometries and coordinate systems
• Solve first and second order ordinary differential equations

Textbooks

Electronic Version

Kreyszig, Advanced Engineering Mathematics, 10th Ed., John Wiley & Sons, New York, 2018.

ISBN 13: 978-0-470-45836-5

ISBN 10: 0-470-45836-4

Textbook information for this course is available online through the appropriate bookstore website: For online courses, search the BNC website at http://ep.jhu.edu/bookstore.

Other Materials & Online Resources

Additionally, any of the following texts or other texts that you may have from previous courses may be useful for this class if you find yourself struggling with specific skills:

• Greenberg, Michael D., Greenberg, Advanced Engineering Mathematics, 2nd Ed., Prentice Hall, Upper Saddle River, New Jersey, 1998.
• H. Anton, I. Bivens, and S. Davis, Calculus, 9th Ed., John Wiley & Sons, New York, 2009.
• W. Boyce and R. DiPrima, Elementary Differential Equations, 9th Ed., John Wiley & Sons, New York, 2009.
• D. Zill, A First Course in Differential Equations with Applications, 4th Ed., PWS-Kent Publishing Co., Boston, 1989.

Online Textbook

KR Matthews, Elementary Linear Algebra, http://www.numbertheory.org/book/.

Student Coursework Requirements

It is expected that each module will take approximately 7–10 hours per week to complete. Here is an approximate breakdown: reading the assigned sections of the texts (approximately 2–3 hours per week) as well as some outside reading, listening to the audio annotated slide presentations (approximately 1–2 hours per week), and writing assignments (approximately 3–5 hours per week).

This course will consist of the following basic student requirements:

Preparation and Participation (10% of Final Grade Calculation)

You are responsible for carefully reading all assigned material and being prepared for discussion. The majority of readings are from the course text. Additional reading may be assigned to supplement text readings.

Post your initial response to the discussion questions by the evening of day 3 for that module week. Posting a response to the discussion question is part one of your grade for module discussions (i.e., Timeliness).

Part two of your grade for module discussion is your interaction (i.e., responding to classmate postings with thoughtful responses) with at least two classmates (i.e., Critical Thinking). Just posting your response to a discussion question is not sufficient; we want you to interact with your classmates. Be detailed in your postings and in your responses to your classmates' postings. Feel free to agree or disagree with your classmates. Please ensure that your postings are civil and constructive.

I will monitor module discussions and will respond to some of the discussions as discussions are posted.

Evaluation of preparation and participation is based on contribution to discussions.

Preparation and participation is evaluated by the following grading elements:

1. Timeliness (50%)
2. Critical Thinking (50%)

Assignments (30% of Final Grade Calculation)

Assignments will be quantitative problem sets utilizing WileyPLUS.

All assignments are due according to the dates in the Calendar.

Late submissions will be reduced by 10 points per day late and will not be accepted after the solutions have been posted (no exceptions without prior coordination with the instructor).

Quantitative assignments are evaluated by the following grading elements:

1. Each part of question is answered (20%)
2. Assumptions are clearly stated (20%)
3. Intermediate derivations and calculations are provided (25%)
4. Answer is technically correct and is clearly indicated (25%)
5. Answer precision and units are appropriate (10%)

Quantitative assignments (not performed on WileyPLUS) are graded as follows:

100–90 = A—All parts of question are addressed; All assumptions are clearly stated; All intermediate derivations and calculations are provided; Answer is technically correct and is clearly indicated; Answer precision and units are appropriate.

89–80 = B—All parts of question are addressed; All assumptions are clearly stated; Some intermediate derivations and calculations are provided; Answer is technically correct and is indicated; Answer precision and units are appropriate.

79–70=C—Most parts of question are addressed; Assumptions are partially stated; Few intermediate derivations and calculations are provided; Answer is not technically correct but is indicated; Answer precision and units are indicated but inappropriate.

<70=F—Some parts of the question are addressed; Assumptions are not stated; Intermediate derivations and calculations are not provided; The answer is incorrect or missing; The answer precision and units are inappropriate or missing.

Exams (60% of Final Grade Calculation, combined from 30% for Midterm and 30% for Final)

The midterm exam will be available in Module 7 and the final exam will be available in the last Module. You will have one week to complete the exams and they will be due by 11:59 PM exactly one week from their release. You may use the course text to complete the exams.

The exams will be conducted via WileyPLUS and are evaluated by the following grading elements (if partial credit is granted):

Exams are evaluated by the following grading elements (:

1. Each part of question is answered (20%)
2. Assumptions are clearly stated (20%)
3. Intermediate derivations and calculations are provided (25%)
4. Answer is technically correct and is clearly indicated (25%)
5. Answer precision and units are appropriate (10%)

Exams are graded as follows:

100–90 = A—All parts of question are addressed; All assumptions are clearly stated; All intermediate derivations and calculations are provided; Answer is technically correct and is clearly indicated; Answer precision and units are appropriate.

89–80 = B—All parts of question are addressed; All assumptions are clearly stated; Some intermediate derivations and calculations are provided; Answer is technically correct and is indicated; Answer precision and units are appropriate.

79–70=C—Most parts of question are addressed; Assumptions are partially stated; Few intermediate derivations and calculations are provided; Answer is not technically correct but is indicated; Answer precision and units are indicated but inappropriate.

<70=F—Some parts of the question are addressed; Assumptions are not stated; Intermediate derivations and calculations are not provided; The answer is incorrect or missing; The answer precision and units are inappropriate or missing.

Grading Policy

Academic Policies

Deadlines for Adding, Dropping and Withdrawing from Courses

Students may add a course up to one week after the start of the term for that particular course. Students may drop courses according to the drop deadlines outlined in the EP academic calendar (https://ep.jhu.edu/student-services/academic-calendar/). Between the 6th week of the class and prior to the final withdrawal deadline, a student may withdraw from a course with a W on their academic record. A record of the course will remain on the academic record with a W appearing in the grade column to indicate that the student registered and withdrew from the course.

Academic Misconduct Policy

All students are required to read, know, and comply with the Johns Hopkins University Krieger School of Arts and Sciences (KSAS) / Whiting School of Engineering (WSE) Procedures for Handling Allegations of Misconduct by Full-Time and Part-Time Graduate Students.

This policy prohibits academic misconduct, including but not limited to the following: cheating or facilitating cheating; plagiarism; reuse of assignments; unauthorized collaboration; alteration of graded assignments; and unfair competition. Course materials (old assignments, texts, or examinations, etc.) should not be shared unless authorized by the course instructor. Any questions related to this policy should be directed to EP’s academic integrity officer at ep-academic-integrity@jhu.edu.

Students with Disabilities - Accommodations and Accessibility

Johns Hopkins University values diversity and inclusion. We are committed to providing welcoming, equitable, and accessible educational experiences for all students. Students with disabilities (including those with psychological conditions, medical conditions and temporary disabilities) can request accommodations for this course by providing an Accommodation Letter issued by Student Disability Services (SDS). Please request accommodations for this course as early as possible to provide time for effective communication and arrangements.

For further information or to start the process of requesting accommodations, please contact Student Disability Services at Engineering for Professionals, ep-disability-svcs@jhu.edu.

Student Conduct Code

The fundamental purpose of the JHU regulation of student conduct is to promote and to protect the health, safety, welfare, property, and rights of all members of the University community as well as to promote the orderly operation of the University and to safeguard its property and facilities. As members of the University community, students accept certain responsibilities which support the educational mission and create an environment in which all students are afforded the same opportunity to succeed academically. 

For a full description of the code please visit the following website: https://studentaffairs.jhu.edu/policies-guidelines/student-code/

Classroom Climate

JHU is committed to creating a classroom environment that values the diversity of experiences and perspectives that all students bring. Everyone has the right to be treated with dignity and respect. Fostering an inclusive climate is important. Research and experience show that students who interact with peers who are different from themselves learn new things and experience tangible educational outcomes. At no time in this learning process should someone be singled out or treated unequally on the basis of any seen or unseen part of their identity. 
 
If you have concerns in this course about harassment, discrimination, or any unequal treatment, or if you seek accommodations or resources, please reach out to the course instructor directly. Reporting will never impact your course grade. You may also share concerns with your program chair, the Assistant Dean for Diversity and Inclusion, or the Office of Institutional Equity. In handling reports, people will protect your privacy as much as possible, but faculty and staff are required to officially report information for some cases (e.g. sexual harassment).

Course Auditing

When a student enrolls in an EP course with “audit” status, the student must reach an understanding with the instructor as to what is required to earn the “audit.” If the student does not meet those expectations, the instructor must notify the EP Registration Team [EP-Registration@exchange.johnshopkins.edu] in order for the student to be retroactively dropped or withdrawn from the course (depending on when the "audit" was requested and in accordance with EP registration deadlines). All lecture content will remain accessible to auditing students, but access to all other course material is left to the discretion of the instructor.