Cameron Devine

Engineering Analysis I MME 502

Course description

An introduction to the mathematical foundations of advanced engineering analysis. The course prepares one for the further study of specific analytic techniques and begins with a survey of the mathematical fields and their applications to engineering analysis. Topics introduced in some detail include probability theory, statistics, Fourier analysis, solution of partial differential equations using methods including separation of variables, differential and vector calculus, and complex analysis. (Adapted from the course catalog.)

General information

Cameron Devine Ph.D.
[email protected]
Classroom location
Cebula Hall 201B or zoom (password on moodle)
MWF 3:00-4:50 pm
Lecture Notes


Homebrew texts and notes

A partial text (with fill-ins) originally written by Dr. Rico Picone is posted on the Mathematical Foundations of Engineering Analysis page (Abbreviation: MF).

Have a service such as that of the SMU Computer Resource Center print them in bulk for you. Whichever printing service you use, I recommend binding them such that pages can be replaced (e.g. three-ring bindable) in case there are major revisions to a section during the term.

You are required to have a binder (or equivalent) ready to show by our third class to avoid a 10% deduction on your first quiz grade. (Or you can show me those lectures on your note-taking tablet.)

Throughout the semester, you should be ready to show these (current) in any class, with threat of 10% quiz grade deductions.

Video pre-class lectures

Before every class, there will be one or more video lectures you will be required to watch! See the Schedule. They are all available on YouTube. Watch them with the texts printed out, filling in the blank sections as you go.


The following schedule is tentative. Bonus lectures denoted “+” are optional, but recommended. The class dates listed in bold will be in person.

day pre-class lectures to watch reading due
10/25/21 Course introduction
01.01 Truth
01.02 Foundations of mathematics
Kr Preface, Ch 9.1-5  
10/27/21 02.00 Mathematical reasoning, logic, and set theory
02.01 Set theory
02.02 Logical connectives and quantifiers
10/29/21 03.01 Probability and measurement
03.02 Basic probability theory
03.03.1 Independence and conditional probability
03.03.2 Independence and conditional probability example
03.04 Bayes’ theorem
Kr Ch 24 Ass. 1
11/1/21 03.05 Random variables
03.06 Probability density and mass functions
03.07 Expectation
03.08 Central moments
04.00 Statistics
Kr Ch 24  
11/3/21 Advising Day    
11/5/21 04.01 Populations, samples, and machine learning
04.02 Estimation of sample mean and variance
04.03 Confidence
04.04 Student confidence
04.05 Multivariate probability and correlation
Kr Ch 25 Ass. 2
11/8/21 05.00 Vector calculus
05.01 Divergence, surface integrals, and flux
05.02 Curl, line integrals, and circulation
Kr Ch 10  
11/10/21 05.03 Gradient
05.04 Stokes and divergence theorems
06.01.1 Fourier series
Kr Ch 10, 11  
11/12/21 06.01.2 Fourier series example
06.02 Fourier transform from the Fourier series
06.03 Generalized Fourier series and orthogonality
Kr Ch 11 Ass. 3
11/15/21 07.00 Partial differential equations intro
07.01 Classifying PDEs
07.02.1 Sturm-Liouville problems
07.02.2 Sturm-Liouville problems example
Kr Ch 12  
11/17/21 07.03 Separation of variables
07.04 The 1D wave equation
Kr Ch 12  
11/19/21 PDE Numerical Solutions Kr Ch 12 Ass. 4
11/22/21 08.01 Gradient descent optimization
08.02 Constrained linear optimization
08.03 The simplex algorithm
Kr Ch 22, 23  
11/24/21 Thanksgiving    
11/26/21 Thanksgiving    
11/29/21 Linear Regression    
12/1/21 Non-Parametric Regression    
12/3/21 Data Clustering   Ass. 5
12/6/21 SVD, PCA, and Facial Recognition    
12/10/21     Ass. 6
12/17/21 Final Exam    


Assignment 1

  • Do the assigned reading.
  • Kr problems:
    • 9.1: 4, 18, 34;
    • 9.2: 9, 16, 19, 33, 38; and
    • 9.3: 2, 25;
  • Take the weekly homework quiz on moodle.

Assignment 2

  • Do the assigned reading.
  • Kr problems:
    • 9.4: 3, 7, 12, 16;
    • 9.5: 7, 26, 41;
    • 24.3: 12, 14;
    • 24.4: 6;
  • Take the weekly homework quiz on moodle.

Assignment 3

  • Do the assigned reading.
  • Kr problems:
    • 24.5: 8, 12;
    • 24.6: 10, 18;
    • 24.7: 8, 12;
    • 24.8: 8;
    • 24.9: 6, 8, 14;
    • 25.3: 6, 10, 14;
    • 25.9: 6.
  • Take the weekly homework quiz on moodle.

Assignment 4

  • Do the assigned reading.
  • Kr problems:
    • 9.7: 4, 18, 24;
    • 9.8: 2, 10;
    • 9.9: 8, 12, 16;
    • 10.1: 2;
    • 10.2: 4;
    • 10.3: 18;
    • 10.4: 2;
    • 10.6: 2;
    • 10.7: 10;
    • 10.9: 6;
    • 11.2: 12;
    • 11.9: 8, 12;
  • MF problem four.stanislaw.
  • Take the weekly homework quiz on moodle.

Assignment 5

  • Do the assigned reading.
  • MF problems pde.horticulture and opt.lateness.
  • Take the weekly homework quiz on moodle.

Assignment 6

  • Do the assigned reading.
  • MF problems stats.laboritorium and stats.robotization.
  • Take the weekly homework quiz on moodle.


Everyone is required to join the Slack workspace Prof. Cameron Devine. We’ll use it to communicate with each other during the semester. Join by clicking here. Be sure to join the channels #mme502-general and #mme502-homework.

Homework, quiz, & exam policies

Homework & homework quiz policies

Weekly homework will be “due” on Fridays, but it will not be turned in for credit. However – and this is very important – each week a quiz will be given on Friday that will cover that week’s homework.

Quizzes will be available on moodle each Friday, and must be completed by that evening (before midnight). Late quizzes will receive no credit. Your lowest quiz scores will be dropped.

Working in groups on homework is strongly encouraged, but quizzes must be completed individually.

Exam policies

The final exam will be take home. If you require any specific accommodations, please contact me.

Calculators will be allowed. Only ones own notes and the notes provided by the instructor will be allowed. No communication-devices will be allowed.

No exam may be taken early. Makeup exams require a doctor’s note excusing the absence during the exam.

The final exam will be cumulative.

Grading policies

Total grades in the course may be curved, but individual homework quizzes and exams will not be. They will be available on moodle throughout the semester.

Homework Quizzes
Final Exam

Academic Honesty/Professionalism

What is Academic Integrity?

Saint Martin’s University is a community of faculty, students and staff engaged in the exchange of ideas in the ongoing pursuit of academic excellence. Essential to our mission is a focused commitment to scholarly values and intellectual integrity, and a respect for the ideas, beliefs and work of others. This commitment extends to all aspects of academic performance. All members are expected to abide by ethical standards both in their conduct and their exercise of responsibility to themselves and toward other members of the community. As an expression of our shared belief in the Benedictine tradition, we support the intellectual, social, emotional, physical and spiritual nurturing of students.

What is Academic Dishonesty?

Saint Martin’s University defines academic dishonesty as violating the academic integrity of an assignment, test and/or evaluation of any coursework. This dishonest practice occurs when you seek to gain for yourself or another an academic advantage by deception or other dishonest means. You have a responsibility to understand the requirements that apply to particular assessments and to be aware of acceptable academic practice regarding the use of material prepared by others. Therefore, it is your responsibility to be familiar with the policies surrounding academic dishonesty as these may differ from other institutions.

The Acceptable Use of AI in Coursework

Any use of technology that misleads a reviewer in assessing the student’s mastery of a specific set of skills or knowledge is a type of intellectual dishonesty, that is, a type of cheating. Students who are unsure about the appropriateness of using an artificial intelligence tool (or “AI”) should check with the instructor before using it. This includes the use of tools that generate text, images, video, code, and other works. If you are permitted by your instructor to use one or more AI tools in producing your work, you should disclose the use of that tool. You should say which tool you used and how you used it. Then if you use specific AI generated content (text, images, videos, audio, code, and so on) you should cite it in the style (APA, MLA, and so on) specified by your instructor.

University-Sanctioned Activities

If you are absent from class due to university-sanctioned activities, such as sports, it is your responsibility to request that the absence be excused; otherwise, the absence will be recorded as unexcused. Absent students are responsible for catching up with the class, and if any assignments are due on the day of the absence, it is your responsibility to turn in the assignments on time.

Counseling and Wellness Center

There may be times, as a college student, when personal stressors interfere with your academic performance and your daily life. The Counseling and Wellness Center supports students by addressing mental and emotional well-being with FREE and confidential services. To schedule an appointment, call 360-412-6123 or email [email protected] or stop by the CWC (1 st floor St. Raphael Center).

If you would rather not go to the CWC or need support in the evenings and weekends, please consider using the TimelyCare app ( to speak with a mental health provider, free, 24/7, from your phone or computer.

Center for Student Success

The Center for Student Success is an integrated learning assistance program that offers services for students at all levels of achievement in pursuit of intellectual growth and academic excellence. The Center offers peer tutoring, study support, first year/early major advising, and writing support. Please investigate ways in which to support your learning. The CSS is located in the lower level of O’Grady Library. You can sign up for tutoring appointments on the webpage:

Religious Accommodation Statement

Saint Martin’s University, in honor of the sacredness of the individual, and being deeply rooted in the Catholic Benedictine tradition of higher education, values the many religious and spiritual practices of our campus community. Saint Martin’s University supports our students in their ongoing journey of becoming. In compliance with Washington State Law RCW 28B.137.010, Saint Martin’s University reasonably accommodates students for reasons of religious observances.

Access and Accommodations

Your experience in this class is important to me. If you have already established accommodations with Disability Support Services (DSS), please communicate your approved accommodations to me at your earliest convenience so we can discuss your needs in this course. If you have not yet established services through DSS, but have a temporary health condition or permanent disability that requires accommodations (conditions include but are not limited to mental health, attention- related, learning, vision, hearing, physical or health impacts), you are welcome to contact DSS at 360-438-4580 or [email protected] or [email protected]. DSS offers resources and coordinates reasonable accommodations for students with disabilities and/or temporary health conditions.  Reasonable accommodations are established through an interactive process between you, your instructor(s) and DSS.  It is the policy and practice of the Saint Martin’s University to create inclusive and accessible learning environments consistent with federal and state law.

Sexual Misconduct/Sexual Harrassment Reporting

Saint Martin’s University is committed to providing an environment free from sex discrimination, including sexual harassment and sexual violence. There are Title IX/sexual harassment posters around campus that include the contact information for confidential reporting and formal reporting. Confidential reporting is where you can talk about incidents of sexual harassment and gender-based crimes including sexual assault, stalking, and domestic/relationship violence. This confidential resource can help you without having to report your situation to the formal reporting process through the Dean of Students – Ms. Melanie Richardson, Associate VP of Human Resources – Ms. Cynthia Johnson, Public Safety – Ms. Sharon Schnebly, or the Office of the Provost – Dr. Tanya Smith-Brice, unless you request that they make a report. Please be aware that, in compliance with Title IX and under the Saint Martin’s University policies, educators must report incidents of sexual harassment and gender-based crimes including sexual assault, stalking, and domestic/relationship violence. If you disclose any of these situations in class, on papers, or to me personally, I am required to report it.

Correlation of course & program outcomes

In keeping with the standards of the Department of Mechanical Engineering, each course is evaluated in terms of its desired outcomes and how these support the desired program outcomes. The following sections document the evaluation of this course.

Desired course outcomes

Upon completion of the course, the following course outcomes are desired:

  1. Students will demonstrate the ability to use the fundamentals of advanced engineering analysis mathematics.
  2. Students will demonstrate the ability to solve partial differential equations with the method of separation of variables.
  3. Students will demonstrate the ability to use Fourier analysis.
  4. Students will demonstrate the ability to use differential vector calculus.
  5. Students will demonstrate an understanding of probability and statistics and how they relate to truth.
  6. Students will demonstrate an understanding of the meaning of “truth” in the context of engineering analysis, with its foundations in mathematical, physical, and philosophical analysis.

Desired program outcomes

In accordance with ABET’s student outcomes, our desired program outcomes are that mechanical engineering graduates have:

  1. an ability to identify, formulate, and solve complex engineering problems by applying principles of engineering, science, and mathematics
  2. an ability to apply engineering design to produce solutions that meet specified needs with consideration of public health, safety, and welfare, as well as global, cultural, social, environmental, and economic factors
  3. an ability to communicate effectively with a range of audiences
  4. an ability to recognize ethical and professional responsibilities in engineering situations and make informed judgments, which must consider the impact of engineering solutions in global, economic, environmental, and societal contexts
  5. an ability to function effectively on a team whose members together provide leadership, create a collaborative and inclusive environment, establish goals, plan tasks, and meet objectives
  6. an ability to develop and conduct appropriate experimentation, analyze and interpret data, and use engineering judgment to draw conclusions
  7. an ability to acquire and apply new knowledge as needed, using appropriate learning strategies.

Correlation of outcomes

The following table correlates the desired course outcomes listed along the left hand side with the desired program outcomes listed along the top.

  1 2 3 4 5 6 7