2DI60 syllabus – 2015-2016 This is an introductory course in stochastic operations research. As such, you cannot avoid being introduced to several basic ideas and principles that can prove quite challenging at first. However, regardless whether you plan to go to industry after finishing your degree or if you are planning on further studies, you will certainly use material from this class. The course is designed to help you master this material. To this purpose the course material is divided into theory, exercises/instructions and pc instructions. During regular and pc instruction days you are strongly advised to bring your laptop. It will help with solving the exercises. Instructor: Dr. Stella Kapodistria Department of Mathematics and Computer Science, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands Co-Instructor: email: s.kapodistria@tue.nl office: (+31) 40 247 5825 fax: (+31) 40 243 6685 Location: MF 4.080 Murtuza Ali Abidini, M.Sc. Department of Mathematics and Computer Science, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands email: m.a.abidini@tue.nl Location: MF 4.066-67 Course material: 1) V.G. Kulkarni, Springer Texts in Statistics, Introduction to Modeling and Analysis of Stochastic Systems. 2) Handout with additional topics. 3) Mathematica modules provided in OASE. Tentative class schedule (will be submitted to changes and will be updated weekly as soon as the quartile starts): Here is how you should read the schedule that follows: hours 1 and 2 will be devoted to theory, hour 3 will be PC instruction hour (demonstrations with Mathematica) and hour 4 will be devoted to exercises (working on your own). However, in practise ALL contact hours include both theory and "exercises" (for example, during PC instruction we might repeat the theory or go deeper into theory, or during exercise hour we might solve properly one exercise on board, etc.). I will also try each time to make sure than not more than 2 hours (out of the 4) have theory and that you also have the time to work on your own. In this sense, I expect that I will be refreshing theory during “exercise” hours and I will be doing exercises during “theory” hours. Notation: H stands for the extra handout. Exercises are denoted either by Conc. or by Comp. Week 1: Chapter 1 and sections 2.1 – 2.4 Ex.: Conc. 2.8 – 2.11, Comp. 2.1, 2.5 – 2.9, 2.12, 2.13, 2.16 e.g. of week 1 schedule Lecture 1 h1 Theory 2.1 & 2.2 Lecture 1 h2 Examples 2.2, 2.4, 2.6, 2.8 Instructions 1 Self study examples+exercises PC instruction 1 Mathematica Intro Lecture 2 h1 Lecture 2 h2 PC instruction 2 Instructions 2 Theory 2.3 Theory 2.4 Mathematica Intro Self study examples+exercises Exercises: Conc 2.8-2.11 Exercises: Comp 2,8, 2,9, 2,12, 2.5 (only creation of matrices) Exercises: Comp 2.1, 2.6, 2,7, 2,16 Exercises: Comp 2.6, 2,7, 2,16 Week 2: 2.5, H 1 and 2.6 Ex.: Conc. 2.12, 2.15, 2.16, Comp. 2.19, 2.20, 2.21, 2.24, 2.25, 2.26, and H 1 ex. 2, 3, 4. Week 3: 2.6, 2.7 and H 2 Ex.: Conc. 2.18, 2.19, Comp. 2.33, 2.37, 2.40, 2.45, and H 2 ex. 1, 2 Week 4: 3.1 – 3.5, 4.1, 4.2 Ex.: Comp. 3.4, 3.6, 3.7, 3.9, 3.10, 3.16, 3.17, 3.19, 3.20, 3.21 MIDTERM. Material: TBA Week 5: 4.1, 4.2, 4.3, 4.6, 4.7.2, 4.8 Ex.: Conc. 4.1, 4.2, 4.4, 4.5, 4.8, 4.9, Comp. 4.21, 4.24, 4.25, 4.26, 4.27, 4.37, 4.38, 4.44, 4.45, 5.2, 5.3, Week 6: Sections 6.1, 6.2, 6.3, 6.4, 6.7, Handout 4 Chapter 6: Conc. 8, 9 and 10. Comp. 1, 2, 6, 7, 8, 21, 41 and 45. Handout 4: 2 and 3 Week 7: 6.5, 6.6 Exercises: Chapter 6: Conc. 20, 21. Comp. 10, 11, 12, 13, 27, 28, 32, 33, 35, 36 and 40. Week 8: Exercises: old exams (also maybe additional exercises, interesting for the final exam) Exams: Midterm exam: TBA (during the instruction hours) Final exam: January TBA Material: TBA Resit exam: April TBA The exams have an open book policy. Namely, you may use the following sources (the following material has been revised): 1) Laptop. 2) Mathematical software (Mathematica or R or Matlab). 3) The book (new or old edition, hard copy or digital) with no notes (i.e., no solved exercises on the empty pages, no glued pages with solutions, no added notes, etc.). 4) The handout (hard copy or digital) again with no notes (i.e., no solved exercises on the empty pages, no glued pages with solutions, no added notes, etc.). 5) The statistical compendium (hard copy or digital) with no notes. 6) The slides (hard copy or digital) with no notes. Anything else (mathematica modules, notes, old exams, solutions of homework, etc) is NOT allowed. The proctors will control during the examination that you have complied with these regulations. Any irregularities noticed at the end of the examination could result to your disqualification. Grading: 30% of the grade for the midterm and 70% of the grade for the final. All rules of the Bachelor College are applicable. A minimum of 5 out of 10 at the final exam is needed to pass the course. Useful tips: For this class, you need basic probability, basic calculus, basic algebraic computational skills, such as solving equations, inequalities, first degree linear differential equations, power series, limits and continuity, etc, and very basic knowledge of linear algebra. We will revise most of these notions too. Slides, and solutions to the exercises are available online. I will be posting them with a delay in OASE, so as to help people who wish to see the solutions after they have tried to solve the exercises on their own. However, a search will provide this material to curious students early on. All announcements will be posted in OASE. Students are expected to: o contribute to a positive, respectful, and engaged academic environment inside and outside the classroom; o appear regularly for class meetings in a timely fashion; o appear at a mutually convenient appointment for official matters of academic concern; o full attendance at examination, midterms, presentations, with the exception of formal pre-approved excused absences or emergency situations; o be prepared for class, appearing with appropriate materials and having completed assigned readings and homework; o full engagement within the classroom, including meaningful focus during lectures, appropriate and relevant questions, and class participation; o act with integrity and to adhere to the formal university policies (read: no cheating!)