MATH203 Introduction to Probability and Statistics

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Course Code Course Title Weekly Hours* ECTS Weekly Class Schedule
T P
MATH203 Introduction to Probability and Statistics 3 2 6
Prerequisite MATH101 It is a prerequisite to
Lecturer Leila Miller Office Hours / Room / Phone
Monday:
12:00-14:00
Tuesday:
11:00-12:00
Wednesday:
13:00-14:00
Thursday:
10:00-11:00
A F1.32
E-mail lmiller@ius.edu.ba
Assistant Assistant E-mail
Course Objectives This course is designed to promote understanding and knowledge of statistical methods and concepts used in engineering and natural sciences. Students will be introduced to a wide range of statistical techniques for analyzing data. Students will learn how, when and why statistics are used and why it is necessary to understand them. The topics to be studied are conceptualization, operationalization, and measurement of phenomena from their applied area of studies. Students will learn how to summarize data with graphs and numbers, make generalizations about populations based on samples of the population, and describe the relationships between variables. Students are not expected to become expert statisticians, but they are expected to gain an understanding of how statistics can be used to contribute to their scientific argumentation and for other more general types of questions. Students will become knowledgeable and critical consumers of statistical information that appears in the media, in the workplace, and elsewhere. Students will also gain basic familiarity with the statistical software package R.
Textbook Probability, Random Variables and Stochastic Processes, Papoulis, Mc Graw Hill
Additional Literature
  • “Elementary Statistics A Step By Step Approach”, 9th ed, by Allan G. Bluman (freely available on the web). Gristead and Snell's "Introduction to Probability"(freely available on the web), Jim Pitman's "Probability".
Learning Outcomes After successful  completion of the course, the student will be able to:
  1. Use basic counting techniques (multiplication rule, combinations, permutations) to compute probability.
  2. Set up and work with discrete random variables. In particular, calculate and inteopret characteristics of the Bernoulli, Binomial, Geometric and Poisson distributions.
  3. Work with continuous random variables. In particular, know the properties of Uniform, Normal and Exponential distributions
  4. Demonstrate understanding what expectation, variance, covariance and correlation mean and be able to compute and interpret them.
  5. Use the theoretical implications of the law of large numbers and the central limit theorem correctly and appropriately in practice on real-world data sets.
Teaching Methods Class discussions with examples. Active tutorial sessions for engaged learning and continuous feedback on progress. Tutorials that involve problems involving concepts covered in lectures, checks through computer simulations, interpretation of the results.
Teaching Method Delivery Face-to-face Teaching Method Delivery Notes
WEEK TOPIC REFERENCE
Week 1 Course description and presentation (Objectives, requirements, rules, students rights and responsibilities)
Week 2 Introduction to Random variables and axioms of probability
Week 3 Probability density function; Experimental design;
Week 4 Random Processes
Week 5 Defining dirac delta function.
Week 6 Understanding the importance of measuring variability (range, interquartile range, the variance, and the standard deviation)
Week 7 Sample spaces and probability; Addition and Multiplication rules;
Week 8 Midterm
Week 9 Continuous Probability Distributions
Week 10 Probability distributions; Discrete Prob. Distributions (mean, variance, standard deviation and expectation)
Week 11 Joint and Conditional Distributions
Week 12 Joint and Conditional Distributions
Week 13 Project Presentations
Week 14 Project Presentations
Week 15 Project Presentations
Assessment Methods and Criteria Evaluation Tool Quantity Weight Alignment with LOs
Final Exam 1 30 3,5
Semester Evaluation Components
Midterm Exam 1 30 2
Project 1 25 1,4
HW 1 15 2
***     ECTS Credit Calculation     ***
 Activity Hours Weeks Student Workload Hours Activity Hours Weeks Student Workload Hours
Lecture Hours 3 15 45 Active tutorials 2 12 24
Home study 4 14 56 In-term exam study 12 1 12
Final Exam study 13 1 13
        Total Workload Hours = 150
*T= Teaching, P= Practice ECTS Credit = 6
Course Academic Quality Assurance: Semester Student Survey Last Update Date: 13/02/2024
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