Probability and Statistical Methods for Engineering
ENGR-210

Introduction to applied probability and the principles and methodologies of statistical inference. Topics include methods of data analysis, point and interval estimation; test of hypotheses, correlation, regression and an introduction to analysis of variance methods.

The engineering degree programs are designed to develop Christ-centered men and women with the values, knowledge, and skills essential to positively influence engineering-related industries in the current and evolving economy. The programs prepare graduates for the thoughtful integration of work and life and to view the engineering profession as a lifelong commitment to serving others. Within a few years of graduating, engineering graduates will be able to advance in an engineering career or graduate studies, be recognized as a creative thinkers exhibiting an aptitude for continuous learning, and display professional ethics and behavior consistent with foundational Christian principles. To that end, the objective of this course is to study applied probability, along with descriptive and inferential statistics. Topics include applied probability, statistical inference including point and interval estimation, tests of hypotheses, correlation, regression and analysis of variance methods.

Upon completion of this course the student will be able to (SO 1, 3, 5, 6, 7):

1. Calculate and use descriptive statistics to represent data (SO 6).
2. Identify, formulate and solve problems applying principles in probability and using various probability distributions (SO 1, 6).
3. Compute the expected value of a probability distribution and function and use in decision-making (SO 6).
4. Calculate confidence intervals for a population mean, proportion, and standard deviation (SO 6).
5. Use hypothesis testing to analyze and interpret data, and draw conclusions (SO 1, 6).
6. Use regression analysis and curve-fitting to determine the correlation between sets of data (SO 1, 6).
7. Use Analysis of Variance (ANOVA) to compare different treatments or populations (SO 1, 6).
8. Research and synthesize biblical principles relevant to mathematics and / or statistics (SO: 3, 7).
9. Participate in teams to apply statistical principles to various projects and produce appropriate reports (SO 3, 5, 6).

Relation to Student Outcomes

Click on the following link to view the required resource(s) for the term in which you are registered: Liberty University Online Bookstore

Additional Materials for Learning

1. Computer with basic audio/video output equipment
2. Internet access (broadband recommended)
3. Canvas recommended browsers
4. Microsoft Office

After reading the Course Syllabus and Student Expectations, the student will complete the related checklist found in the Course Overview.

Discussion boards are collaborative learning experiences. Therefore, there will be 2 discussion boards (@ 20 pts = 40 pts) to apply concepts learned in class, and learn from and encourage other students in the course. 

There will be approximately 200 homework problems: some from the textbook, and most from the online homework problems (worth 200 pts) on WebAssign accessed through Canvas to complete for the textbook sections covered. The purpose of the homework is to reinforce material covered and expand the student's knowledge of problem solving with problems that are too complicated to put on exams or quizzes. The student must not get behind! 

There will be three graded team projects and a team paper during the semester that will reinforce the class learning and provide the student with challenging ways to apply probability and statistical principles (4 @ 50 pts = 200 pts). The paper will include integration of biblical worldview to the maximum extent possible. Team members must be proactive – those not contributing will earn a zero.

There will be 8 periodic quizzes (@ 20 pts / each = 160 points) for the sections of the assigned text covered and based on the homework problems. The purpose of the quizzes is to reinforce the learning process, validate the student’s comprehension of the material in a timed environment, and prepare the student for future tests on this material (e.g., Fundamentals of Engineering Exam). Quizzes are not meant to help the student prepare for cumulative quizzes.

There will be 2 quizzes (@ 130 pts / each), as well as a final quiz (new material) (140 pts). The purpose of these quizzes is to reinforce the learning process and validate the student’s comprehension and retention of the material covered. Solutions, rather than answers, are expected for all problems. An answer is the final answer to the question asked in the problem. By contrast, a solution is more; it also includes the argument/reasoning/work that leads to the answer.

Consistent or improving performance is encouraged. The instructor reserves the right to adjust and curve the final grades based on student effort.  Students are expected to be actively engaged in the course by allocating sufficient time to study the course materials, actively participate in the assigned projects, and making positive contributions to the learning environment.

Course Assignments, including discussions, exams, and other graded assignments, should be submitted on time.

If the student is unable to complete an assignment on time, then he or she must contact the instructor immediately by email.

Assignments that are submitted after the due date without prior approval from the instructor will receive the following deductions:

1. Late assignments submitted within one week after the due date will receive up to a 10% deduction.
2. Assignments submitted more than one week and less than 2 weeks late will receive up to a 20% deduction.
3. Assignments submitted two weeks late or after the final date of the course will not be accepted outside of special circumstances (e.g. death in the family, significant personal health issues), which will be reviewed on a case-by-case basis by the instructor.
4. Group projects, including group discussion threads and/or replies, and assignments will not be accepted after the due date outside of special circumstances (e.g. death in the family, significant personal health issues), which will be reviewed on a case-by-case basis by the instructor.

Students with a disability and those with medical conditions associated with pregnancy may contact Liberty University’s Online Office of Disability Accommodation Support (ODAS) at [email protected] for accommodations.  Such accommodations require appropriate documentation of your condition.   For more information about ODAS and the accommodations process, including how to request an accommodation, please visit https://www.liberty.edu/online/online-disability-accommodation-support/. Requests for accommodations not related to disabilities or pregnancy must be directed to the Registrar’s Office, which generally handles medical needs support.

If you have a complaint related to disability discrimination or an accommodation that was not provided, you may contact ODAS or the Office of Equity and Compliance by phone at (434) 592-4999 or by email at [email protected].  Click to see a full copy of Liberty’s Discrimination, Harassment, and Sexual Misconduct Policy or the Student Disability Grievance Policy and Procedures.

In an effort to comply with U.S. Department of Education policies, attendance is measured by physical class attendance or any submission of a required assignment within the enrollment dates of the course (such as examinations, written papers or projects, any discussion posts, etc.) or initiating any communication with one’s professor regarding an academic subject. More information regarding the attendance policy can be found in the Academic Course Catalogs. Regular attendance in online courses is expected throughout the length of the term. Students who do not attend within the first week of a sub-term by submitting a required academic assignment (such as the Course Requirements Checklist, an examination, written paper or project, discussion post, or other academic activity) will be dropped from the course. Students who wish to re-engage in the course are encouraged to contact Academic Advising to discuss their enrollment options. Students who begin an online course, but at some point in the semester cease attending, and do not provide official notification to withdraw, will be assigned a grade of “FN” (Failure for Non-Attendance). Students wishing to withdraw from courses after the official start date should familiarize themselves with the withdrawal policy.

For courses with a Pass/NP final grade, please refer to the Course Grading section of this syllabus for the assignment requirements and/or point value required to earn a Passing final grade.

The full policy statement and procedures are published in the Policy Directory.

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While we acknowledge that some may disagree with various elements of the Code of Honor, we maintain the expectation that our students will commit to respect and uphold the Code while enrolled at Liberty University.

Adherence to the principles and concepts established within facilitates the success of our students and strengthens the Liberty community.

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