Extended Syllabus (2013 1ST Semester) Course Course Title Mechanics I Credit 3 Class Time Tue. 10:30~12:00, Thu 10:30~12:00 Instructor's Photo PHY2001 Number Enrollment nd 2 Eligibility grade students of physics major Classroom TBA Name: Bum-Hoon Lee Homepage: http://field.sogang.ac.kr E-mail: bhl@sogang.ac.kr Telephone: 02-705-8427 Office: RA 310 Office Hours: Tue. 13:00~16:00, Thu. 13:00~16:00 Ⅰ. Course Overview 1. Description This course contains the basic theories of particle systems, i.e. single particle motions, oscillations and multi-particle systems of rigid body and so on. And also introduce Lagrangian and Hamiltonian which are new ways to describe particle systems. 2. Prerequisites Fundamentals of PhysicsⅠ, Calculus I and Calculus II 3. Course Format (%) Lecture 100 % Discussion Experiment/Practicum 0% Field study 0% Presentations 0% Other 0% 0% 4. Evaluation (%) mid-term Exam 40 % Final exam 40 % Quizzes 0% Presentations Projects 0% 0% 1 Assignments Participation 15 % 5% Other 0% Ⅱ. Course Objectives Focus on the Newton Mechanics which is the basic theory to understand universe systematically and introduce Lagrangian theory which is higher level technique and compare it. From this, understand how to analysis or physical approach to the system composed by particle(s). Ⅲ. Course Format (* In detail) Every class is composed of 100% lecture. Lecturer will explain basic mathematics of mechanics and basic theories of mechanical systems with simple examples. If time is enough, then the Lecturer will also explain more advanced theories of mechanics. Ⅳ. Course Requirements and Grading Criteria 2 Ⅴ. Course Policies 1. There is an exercise class, in which the Teaching Assistant, will solve assignments and answer questions. Sometimes this class will used for the make-up class. This is not a regular lecture, so the time will be fixed at the first lecture. 2. If a student be late less than 10 minutes in the class, the student gets “late” for that class, while more that 10 minutes, gets “absence” for that class. 3. If a student get the total score less than 10 points, the student gets “F” for the course. 4. If a student cheat during the exam, the student gets “F” for the course Ⅵ. Materials and References 1. Textbook: R.D. Gregory, “Classical Mechanics”, Cambridge, 2006 2. References: G. R. Fowles, G.L. Cassiday, “Analytical Mechanics” 7th edition, ThomsonBrook/Cole, 2005 (참고 : 번역판 : 강주상 역, “해석역학” (에드텍)) Tai L. Chow, “Classical Mechanics”, John Wiley & Sons, Inc., 1995 Thornton, Marion, “Classical Dynamics of Particles and Systems”, 5th edition, Thomson-Brook/Cole, 2004 K. R. Symon, “Mechanics” (연합출판) Ⅶ. Course Schedule (* Subject to change) Learning Objectives Topics Week Class Work 1 (Methods) Materials (Required Readings) Assignments Week 2 Learning Objectives Topics Matrices, Vectors and Vector Calculus Basic Mathematics of Mechanics Lecture Textbook - Chapter 1 and 2 Some problems Newtonian Mechanics - Single Particle Single Particle System 3 Class Work (Methods) Materials (Required Readings) Assignments Learning Objectives Topics Week Class Work 3 (Methods) Materials (Required Readings) Assignments Learning Objectives Topics Week Class Work 4 (Methods) Materials (Required Readings) Assignments Learning Objectives Topics Week 5 Class Work (Methods) Materials (Required Readings) Assignments Week Learning Objectives Lecture Textbook - Chapter 3 Some problems Oscillations Oscillations of Weight with massless spring Lecture Textbook - Chapter 5 Some problems Nonlinear Oscillations and Chaos Chaotic Motions Lecture Textbook - Chapter 8 Some problems Gravitation Particle Motions on the Gravitational Field Lecture Textbook - Chapter 3, 7 Some problems Calculus of Variations 4 6 Topics Class Work (Methods) Materials (Required Readings) Assignments Learning Objectives Topics Week Class Work 7 (Methods) Materials (Required Readings) Stationary of Integral Functional. Lecture Textbook - Chapter 13 Some problems Hamilton's Principle - Lagrangian Euler-Lagrangian Equation Lecture Textbook - Chapter 12 Assignments Some problems Learning Objectives Midterm exam Topics Week Class Work 8 (Methods) Materials (Required Readings) Assignments Learning Objectives Week 9 Topics Class Work (Methods) Materials (Required Readings) Hamiltonian Dynamics Hamilton’s Equations and Phase Space Lecture Textbook - Chapter 14 5 Assignments Learning Objectives Topics Week Class Work 10 (Methods) Materials (Required Readings) Assignments Learning Objectives Topics Week Class Work 11 (Methods) Materials (Required Readings) Assignments Learning Objectives Topics Week Class Work 12 (Methods) Materials (Required Readings) Assignments Week 13 Learning Objectives Topics Some problems Central Force Motion Radial Motion Equation Lecture Textbook - Chapter 7 Some problems Dynamics of a system of particles Multi-Particle Systems Lecture Textbook - Chapter 9 and 10 Some problems Non-inertial Reference Frame Moving (Rotational) Frame Lecture Textbook - Chapter 17 Some problems Rigid Bodies I Basics of Multi-Particle System 6 Class Work (Methods) Materials (Required Readings) Lecture Textbook - Chapter 11 Assignments Some problems Learning Objectives Rigid Bodies II Topics Week Class Work 14 (Methods) Materials (Required Readings) Assignments Learning Objectives Topics Week Class Work 15 (Methods) Materials (Required Readings) Assignments Learning Objectives Details of Rigid Bodies Lecture Textbook - Chapter 11 and 19 Some problems Coupled Oscillations Oscillations with Multi Springs and Normal Modes Lecture Textbook - Chapter 5 and 15 Some problems Final exam Topics Week Class Work 16 (Methods) Materials (Required Readings) Assignments 7 Ⅷ. Special Accommodations For students with physical handicap the instructor will take necessary action to accommodate upon requests, 8