Liberty ENGR 210 Probability and Statistical Methods for Engineering Entire Class
Course Description
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 the analysis of variance methods.
For information regarding prerequisites for this course, please refer to the Academic Course Catalog.
Rationale
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 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.
Measurable Learning Outcomes
Upon completion of this course the student will be able to (SO 1, 3, 5, 6, 7):
- Calculate and use descriptive statistics to represent data (SO 6).
- Identify, formulate and solve problems by applying principles in probability and using various probability distributions (SO 1, 6).
- Compute the expected value of a probability distribution and function and use it in decision-making (SO 6).
- Calculate confidence intervals for a population mean, proportion, and standard deviation (SO 6).
- Use hypothesis testing to analyze and interpret data, and draw conclusions (SO 1, 6).
- Use regression analysis and curve-fitting to determine the correlation between sets of data (SO 1, 6).
- Use Analysis of Variance (ANOVA) to compare different treatments or populations (SO 1, 6).
- Research and synthesize biblical principles relevant to mathematics and/or statistics (SO: 3, 7).
- Participate in teams to apply statistical principles to various projects and produce appropriate reports (SO 3, 5, 6).
Please consult Liberty University for details on the requirements for this course.
Relation to Student Outcomes
| Student Outcome | Level | Demonstrate Proficiency | |
| 1 | an ability to identify, formulate, and solve complex engineering problems by applying principles of engineering, science, and mathematics | E | Exams, homework, projects, quizzes |
| 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 | N | |
| 3 | an ability to communicate effectively with a range of audiences | R | Projects, discussion boards |
| 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 | N | |
| 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 | R | Projects |
| 6 | an ability to develop and conduct appropriate experimentation, analyze and interpret data, and use engineering judgment to draw conclusions | E | Homework, quizzes, exams, projects, discussion boards |
| 7 | an ability to acquire and apply new knowledge as needed, using appropriate learning strategies | I | Project, quizzes, discussion boards |
| N = none; I=introduced; R=reinforced; E=emphasized |
Course Assignment
Textbook Readings and Lecture Presentations
Course Requirements Checklist
After reading the Course Syllabus and Student Expectations, the student will complete the related checklist found in the Course Overview.
Discussions (2)
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.
Homework Assignments (8)
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 the textbook sections covered. The purpose of the homework is to reinforce the 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!
Project Assignments (4)
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 the integration of the biblical worldview to the maximum extent possible. Team members must be proactive – those not contributing will earn a zero.
Review Quizzes (8)
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.
Cumulative Quizzes (3)
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.
