PHYC380 Classical Mechanics Independent Study Azusa Pacific University College of Liberal Arts and Sciences Department of Mathematics and Physics PHYC 380 Classical Mechanics Fall 2012 This course carries three units of university credit. Following the APU Credit Hour policy, to meet the identified student learning outcomes of this course, the expectations are that this 3-unit course, delivered over a 15-week term will approximate: 3 hours/week classroom or direct faculty instruction In addition, out-of-class student work will approximate a minimum of 6 hours (undergraduate) each week. Instructor: Dr. Rick Markley, Cell: 909-525-0353, Email rmarkley@apu.edu Office Hours: TR 2:45 – 4:15, but suggest that you call/email for an appointment. I can also meet you in the Segerstrom Math Center when it is mutually convenient. Math/Physics Department Office: Kim Bartlett, Administrative Assistant, 626-815-3841, kbartlett@apu.edu B. Faculty Information Instructor: Dr. Rick Markley Office Location: SEG 115, Department of Mathematics and Physics, Segerstrom Science Center Hours: TTh 11:15 a.m.–12:15 p.m., but suggest that you call/email for an appointment. I can also meet you in the Segerstrom Math Center when it is mutually convenient. Email: rmarkley@apu.edu, Cell: 909.525.0353. Office fax number is 626.387.5907. Math/Physics Department Office: Kim Bartlett, Administrative Assistant, 626.815.6470, kbartlett@apu.edu. Emergency number is 909.625.7463. No calls between 10 p.m. and 6:30 a.m. C. University Information Azusa Pacific University Mission Statement Azusa Pacific University is an evangelical Christian community of disciples and scholars who seek to advance the work of God in the world through academic excellence in liberal arts and professional programs of higher education that encourage students to develop a Christian perspective of truth and life. Department Mission Statement The Department of Mathematics and Physics at Azusa Pacific University: 1) offers undergraduate degree programs in mathematics and physics, a single-subject waiver for a teaching credential in mathematics, and a pre-degree engineering program; 2) provides general education mathematics and science courses consistent with the outcomes of a liberal arts education; and 3) prepares students for graduate study or success in their chosen careers. D. Course Information Course Description from APU Catalog This course applies mathematical methods to the study of the general motion of particles, and includes Newtonian and Lagrangian mechanics. It includes the study of projectiles experiencing linear and quadratic resistance; damped and driven oscillations; two-body central force motion; and rigid body rotational motion. This is a part of the core physics program. Class Times/Location: PHYC 380 Time: Independent Study E. Student Learning Outcomes Mastery of material in this course should enable students to do the following: 1. Apply Newton’s laws with calculus-based analytical skills to projectile equations including those involving air resistance. Page 1 PHYC380 Classical Mechanics Independent Study 2. 3. 4. 5. 6. 7. State principles of conservation of energy and momentum for translation and rotation motion, and apply these principles in problem solving. State the Universal Law of Gravity, and use this law in problem solving. Apply advanced mathematical tools to analyze oscillations and coupled oscillators. Apply Lagrange's equations to mechanics in the presence of motion constraints. Apply mathematical tools to study two-body central force motion. Apply mathematical tools to study rotational motion of rigid bodies Faith Integration A Faith integration paper (TBD) will be required during the semester to develop perspective on a subject such as the multidimensional universe and presence and intervention of God. F/G. Required Textbook and Study Resources Required Student Resources Text (Required): Classical Mechanics, by John R. Taylor. Published by University Science Books, ISBN 13:978-1-891389-22-1, 2004. (Optional) Schaum’s Outline Series: Vector Analysis (Second Edition), by Murray R. Spiegel et al. Published by McGraw Hill, 978-0-07-161545-7, 2009. Calculator: Students will also need a scientific calculator. A scientific calculator is one that includes trigonometric, logarithmic, and statistical functions (such as a Texas Instruments TI-30XA). Assignments and Support Material: http://home.apu.edu/~rmarkley/phyc380 H. Course Calendar See Appendix A Tentative Test Dates: Thursday, October 4, 2012 Thursday, November 8, 2012 Grading Criteria and Scale Mid-term Exams (2) and Final Exam 70% Final: Tuesday December 11, 2012 7:30 a.m. HW 30% I. Assignments Homework will be assigned regularly during the semester. The assignments will be given in class and posted on the Internet (home.apu.edu/~rmarkley/phyc380), and will comprise questions and problems from the textbook and from the professor. Homework assignments should be completed prior to class and are due at the beginning of the class period for which they are assigned. Feel free to discuss homework with other students. The result turned in, however, should reflect your understanding of the material. Exam questions will test understanding of concepts assigned for homework. Page 2 PHYC380 Classical Mechanics Independent Study J. Information Literacy and Use of the Library Library Use: The Library will not be required for this class. K. Evaluation/Assessment Rationale for Grade Determination Grading Criteria and Scale 1. Mid-term Exams (2) and Final Exam: 70% 2. HW and special assignments: 30% 3. The Final test is equivalent to two mid-term tests. With two midterms, there are a total of four equivalent test grades: two single-weight mid-terms, one double-weight final. The lowest of the four grades will be dropped, and the resulting average of three grades will be 70% of your final grade. 4. Your homework and special assignments (30%) can make a significant difference in your final course grade. For example, if you could earn a 100% on every test, but turn in no homework, you will earn a 70 in the class (“C–”). Grading Scale Points Earned 920-1000 900-919 880-899 820-879 800-819 780-799 720-779 700-719 670-699 600-669 560-599 Percent 92+% 90+% 88+% 82+% 80+% 78+% 72+% 70+% 67+% 60+% 56+% Letter Grade A A− B+ B B− C+ C C− D+ D D− Grade Guidelines A Superior knowledge regarding details, assumptions, implications, history; superior thinking with information relevant to application, critique, and relationship to other information. B More than adequate knowledge regarding technical terms, distinctions, and possesses an ability to use information. C Basic knowledge needed to function and carry on learning regarding major principles, central terms, major figures, also possesses an awareness of field or discipline. D Serious gaps in knowledge, confusion of concepts and categories, inability to recall basic information. F Absence of knowledge, incapable of carrying on a conversation about the subject, misunderstands most concepts, confuses all categories. L. Course Policies 1. Attendance is required. Students who may miss class due to participation in APU extracurricular activities must notify the instructor well in advance. Two or more unexcused missed classes may reduce your test average grade by 10%. 2. Always come to class prepared to do problems in class (notebook and calculator). 3. Tests must be taken on the day announced. There will be no makeup tests, early exams, or late exams. Late-arriving students will not be given any additional time to complete any test. 4. You may NOT use a smartphone as a calculator in a test. Page 3 PHYC380 Classical Mechanics Independent Study Academic Integrity Policy The mission of Azusa Pacific University includes cultivating in each student not only the academic skills that are required for a university degree, but also the characteristics of academic integrity that are integral to a sound Christian education. It is therefore part of the mission of the university to nurture in each student a sense of moral responsibility consistent with the biblical teachings of honesty and accountability. Furthermore, a breach of academic integrity is viewed not merely as a private matter between the student and an instructor but rather as an act which is fundamentally inconsistent with the purpose and mission of the entire university. A complete copy of the Academic Integrity Policy is available in the Office of Student Life, the Office of the Vice Provost for Undergraduate Programs, and online. M. University Policies All university and departmental policies affecting student work, appeals, and grievances, as outlined in the Undergraduate Catalog and/or Department Handbook will apply, unless otherwise indicated in this syllabus N. Support Services Students in this course who have a disability that might prevent them from fully demonstrating their abilities should meet with an advisor in the Learning Enrichment Center (ext. 3849) as soon as possible to initiate disability verification and discuss accommodations that may be necessary to ensure full participation in the successful completion of course requirements. O. Bibliography The textbook is the primary reading. The textbook from PHYC 161 “Physics for Science and Engineering I” will be a valuable resource. Page 4 PHYC380 Classical Mechanics Independent Study Appendix A: Classical Mechanics (PHYC 380) Class Schedule – Fall 2012 Week 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Dates 9/6 9/11 9/13 9/14 9/18 9/20 9/25 9/27 10/2 10/4 10/9 10/11 10/16 10/18 10/23 10/25 10/30 11/1 11/6 11/8 11/9 11/13 11/15 11/20 11/22 11/27 11/29 12/4 12/6 12/11 Chapter 1 1 1 1 1 1 2 2 3 3 3 3 3 4 4 4 4 5 5 5 7 7 8 8 Topics Vector Mechanics Vectors Relative Motion and Lorentz Transformations Friday, 9/14 Last Day to Add or Drop Classes Newton’s Second Law applied to Statics Newton’s Second Law applied to Dynamics Polar Coordinates Trajectories Linear and Quadratic Air Resistance Test 1 Impulse Conservation of Linear Momentum, Center of Mass Rockets Rotation about a Fixed Axis, Moment of Inertia Angular Momentum Conservation of Angular Momentum Work and Kinetic Energy Potential Energy and Conservative Forces Force as the Gradient of Potential Energy Central Forces Test 2 Friday, 11/9 Last Day to Withdrawal from Classes Hooke’s Law, Simple Harmonic Motion Damped Oscillations Driven Damped Oscillations, Resonance Thursday, November 22, Thanksgiving Holiday Lagrange’s Equations and Examples Two-Body Central Force Problems (Orbits) Kepler’s Equations Final, Tuesday, 12/11/12 Page 5