COURSE SPECIFICATION FORM, approved by the Academic Council 17.06.2015 (#39) SECTION A:DEFINITIVE Items in this section may be reviewed and developed within Schools as part of the Annual Program Monitoring Process and in line with the Guidelines to Modifications to Programs and Courses. 1. 1.1 1.2 1.3 1.4 1.5 2. General course information School: School of Engineering and Digital Credits (ECTS): 6 1.6 Sciences Course Title: Applied Probability and Statistics 1.7 Course Code: ENG 201 Pre-requisites: Calculus II Effective from: 2018 1.8 (year) Co-requisites: none Programs: __Bachelor of Engineering_____________________ (in which the course is Core Elective Course description (max.150 words) This course provides an introduction to basic probability theory and statistics. Topics include sample spaces, events, classical and axiomatic definition of probability, conditional probability, independence, expectation and conditional expectation, variance, distributions of discrete and continuous random variables, joint distributions, central limit theorem, descriptive statistics, confidence interval estimation, and hypothesis testing. 3. 3.1 3.2 3.3 3.4 4. Summative assessment methods(tick if applicable): Examination 3.5 Presentation Term paper 3.6 Peer-assessment Project 3.7 Essay Laboratory Practicum 3.8 Other (specify) Course aims _Homework____ The course aims to equip students with: 1) basic probability theory and techniques of descriptive statistics 2) important continuous and discrete random variables 3) basics of inferential statistics 1 COURSE SPECIFICATION FORM, approved by the Academic Council 17.06.2015 (#39) 5. Course learning outcomes (CLOs) By the end of the course the student will be expected to be able to 3 PLO 7 2 PLO 6 3 PLO 5 2 PLO 4 PLO 3 CLO 1: Describe various interpretations of probability and the difference between discrete and continuous random 3 variables CLO 2: List important continuous and discrete distributions. 2 CLO 3: Calculate descriptive statistics and summarize a dataset CLO 4: Calculate confidence intervals and conduct hypothesis tests PLO 2 PLO 1 Course Learning Outcome (CLO) (1=Objective addressed, 2=moderately, 3=substantially) The description of various PLOs is as given below: ABET Program learning Outcomes (PLOs): PLO 1. An ability to identify, formulate, and solve complex engineering problems by applying principles of engineering, science, and mathematics PLO 2. An ability to apply the engineering design process to produce solutions that meet specified needs with consideration for public health and safety, and global, cultural, social, environmental, economic, and other factors as appropriate to the discipline PLO 3. An ability to develop and conduct appropriate experimentation, analyze and interpret data, and use engineering judgment to draw conclusions PLO 4. An ability to communicate effectively with a range of audiences PLO 5. 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 PLO 6. An ability to recognize the ongoing need to acquire new knowledge, to choose appropriate learning strategies, and to apply this knowledge PLO 7. An ability to function effectively as a member or leader of a team that establishes goals, plans tasks, meets deadlines, and creates a collaborative and inclusive environment 2 COURSE SPECIFICATION FORM, approved by the Academic Council 17.06.2015 (#39) Mapping of the eight NU graduate attributes to the new program learning outcomes (this table is fixed so no need to change): 2. Be intellectually agile, curious, creative and open-minded 3. Be thoughtful decision makers who know how to involve others 4. Be entrepreneurial. Self-propelling and able to create new opportunities. 5. Be fluent and nuanced communicator across languages and cultures X X X X 6. Be cultured and tolerant citizen of the world 7. Demonstrate personal integrity 8. Be prepared to take a leading role in the development of their country PLO 7 X PLO 6 X PLO 5 PLO 3 X PLO 4 PLO 2 1. Possess an in-depth and sophisticated understanding of their domain of study. PLO 1 NU Graduate Attributes X X X X X X X X 3 COURSE SPECIFICATION FORM, approved by the Academic Council 17.06.2015 (#39) SECTION B: NON-DEFINITIVE Course Syllabus Template Details of teaching, learning and assessment Items in this Section should be considered annually (or each time a course is delivered) and amended as appropriate, in conjunction with the Annual Program Monitoring Process. The template can be adapted by Schools to meet the necessary accreditation requirements. 6. Detailed course information 6.1 Academic Year: 2022-2023 6.3 6.2 Semester: Spring 7. Course leader and teaching staff Position Name 6.4 Schedule(class days, time): Tue, Thu, 13:30 pm 14:45 pm Location (building, room): 3E.224 Office # Contact information Course Leader Amin Zollanvari & Behrouz Maham 3e542 3419 amin.zollanvari@nu.edu.kz behrouz.maham@nu.edu.kz Course Instructor(s) Amin Zollanvari & Behrouz Maham & Yerkin Abdildin & Yerbol Sarbassov 3e542; 3419; 3329; 3508 amin.zollanvari@nu.edu.kz behrouz.maham@nu.edu.kzy yerkin.abdildin@nu.edu.kz Aigerim Baimyrza Yerbolat Kalpakov 3229 3203 aigerim.baimyrza@nu.edu.kz Teaching Assistant(s) Graduate Teaching Assistant 8. Course Outline Session Date (tentative) 1.15 hrs Week 1 ×2 1.15 hrs Week 2 ×2 1.15 hrs Week 3 ×2 1.15 hrs ×2 1.15 hrs ×4 Week 4 1.15 hrs ×2 Week 7 Week 5-6 Office hours/or by appointment By appointment By appointment ysarbassov@nu.edu.kz yerbolat.kalpakov@nu.edu.k z By appointment By appointment Topics and Assignments Course Aims CLOs Sample spaces, events, classical and axiomatic definition Conditional probability: Bayes’ rule and the law of total probability, independence Random variables, Probability distribution function, Probability mass function, Probability density function, expectation, variance Bernoulli, Binomial, Poisson Distributions and Applications Uniform, Exponential, Normal, Gamma Distributions, Relation among exponential, Poisson and gamma distributions and Applications Joint distributions: discrete and continuous Marginal and conditional distributions, independence 1 1 1 1 1 1,2 1,2 2 1, 2 2 1,2 1,2 4 COURSE SPECIFICATION FORM, approved by the Academic Council 17.06.2015 (#39) 1.15 hrs ×1 1.15 hrs ×2 Week 8 1.15 hrs ×2 Week 10 1.15 hrs ×4 Week 9 Week 11 Week 12 1.15 hrs ×2 Week 13 1.15 hrs ×2 Week 14 1.15 hrs ×2 Week 15 2 hrs Week 16 Midterm Covariance, correlation of random variables; expectation of functions of random variables, Linear combinations of random variables, Central limit theorem Summaries of Data, Histograms and Box Plots, Scatter Diagrams Spring break Construction and interpretation of confidence intervals, Confidence intervals for proportion, mean, and variance, Sample Size Determination, Applications Hypothesis testing, Tests of Statistical Hypothesis, one-sided and two-sided Hypotheses, P-values in Hypothesis Tests Connection between Confidence intervals and hypothesis tests, Tests on the Mean of a Normal Distribution Review 1, 2 1,2 1,2 1,2 1 3 3 4 3 4 3 4 1-3 1-4 1-3 1-4 Final Exam 9. 1 Learning and Teaching Methods (briefly describe the approaches to teaching and learning to be employed in the course) Lectures and independent study 10. Summative Assessments # Activity Assignments/quizzes Midterm(s) Final 11. Grading Letter Grade A A- Percent range 95-100 90-94.9 Date (tentative) Before Spring break During the final period Weighting (%) 20% 30% 50% CLOs 1,2,3,4 1,2 1,2,3,4 Grade description (where applicable) Excellent, exceeds the highest standards in the assignment of course Excellent, meets the highest standards for the assignment or course 5 COURSE SPECIFICATION FORM, approved by the Academic Council 17.06.2015 (#39) B+ B BC+ C 85-89.9 80-84.9 75-79.9 70-74.9 65-69.9 C- 60-64.9 D+ D F 55-59.9 50-54.9 0-49.9 Very good, meets the high standards for the assignment or course Good, meets most of the standards for the assignment or course More than adequate; shows some reasonable command of the material Acceptable; meets basic standards for the assignment or course Acceptable; meets some of the basic standards for the assignment or course Acceptable; while falling short of meeting basic standards in several areas Minimally acceptable; falling short of meeting many basic standards Minimally acceptable; lowest passing grade Failing; very poor performance 12. Learning resources (use a full citation and where the texts/materials can be accessed) n/a E-resources, including, but not limited to: databases, animations, simulations, professional blogs, websites, other ereference materials (e.g. video, audio, digests) n/a E-textbooks n/a Laboratory physical resources Special software programs n/a n/a Journals (inc. e-journals) [1]. “Applied Statistics and Probability for Engineers”, 6th edition, Call Text books number: QA276.12 .M645 2014 [2]. Jay L. Devore, Probability and Statistics for Engineering and the Sciences, 8th Edition, 2012. [3]. J. Devroye, N. Farnum, J. Doi, Applied Statistics for Engineers and Scientists, 3rd Edition, 2014. [4]. Sheldon Ross, Introduction to Probability and Statistics for Engineers and Scientists, Academic Press, 5th Edition, 2014. 13. Course expectations List the expectations of students for the course regarding the course attendance, class participation, group work, late/missed submission of assignments. Attendance will be taken randomly throughout the term. Late submissions of assignments may not be accepted. There will be no ‘curving’ of grades. Final exam is cumulative (i.e. may include material covered from the first day of classes). According to the University policy, a student, who is late for 30 or more minutes, will not be allowed to take the exam without permission of School Administration. 6 COURSE SPECIFICATION FORM, approved by the Academic Council 17.06.2015 (#39) Midterms and Final Exam are closed books and closed notes, though you are permitted to bring one hand-written A4 sheet of notes, double sided, so formulas and expressions need not be memorized. Calculators without communication capabilities will be allowed. 14. Academic Integrity Statement Provide a statement requiring the students taking this course to abide by the University policies on academic integrity. You may refer to the Student Code of Conduct and Disciplinary Procedures (approved by the AC on 05.02.2014), specifically, paragraphs 13-16 (plagiarism and cheating). Cheating is strictly prohibited. 15. E-Learning If the content of the course and instruction will be delivered (or partially delivered) via digital and online media, consult with the Head of Instructional Technology to complete this section and/or provide a separate document complementary to this Template. 16. Approval and review Date of Approval: Minutes #: Committee: Date(s) of Approved Change: Minutes #: Committee: 7