I. ASCRC General Education Form Group XI Natural Sciences Dept/Program Physics and Astronomy Course Title Prerequisite Course # PHYS U 141N Relativity: From Galileo to Einstein and Beyond Working knowledge of high Credits 3 school physics & high school calculus or consent of instructor II. Endorsement/Approvals Complete the form and obtain signatures before submitting to Faculty Senate Office Please type / print name Signature Instructor Phone / Email Date James Jacobs 4986 j.jacobs@umontana.edu Program Chair Andrew Ware Dean Gerald Fetz III. Description and purpose of the course: General Education courses must be introductory and foundational. They must emphasize breadth, context, and connectedness; and relate course content to students’ future lives: See Preamble: http://www.umt.edu/facultysenate/gened/GEPreamble_final.htm Einstein's Special Theory of Relativity is one of the great triumphs of the human mind in this century, yet most people have only a vague notion of what relativity is and what it means. In this course, industrious students with a working knowledge of algebra and trigonometry and a modest exposure to calculus gain deep insight into the counterintuitive nature of space and time and will acquire a greater appreciation for the power and beauty of theoretical physics. We begin with a brief historical view of the study of motion including the works of Aristotle, Galileo, and Newton. We explore the necessity of introducing relativity theory to match known experimental results. Einstein's special theory of relativity is introduced from a modern, geometrically oriented perspective, using spacetime diagrams throughout, and emphasizing the deep connection between time and space. We carefully develop the Lorentz transformation equations and use them to explore several of the apparent “paradoxes” of the theory. Finally, we apply the results of relativity theory to the practical real world problems of high-energy particle physics, where the use of relativity is essential. Throughout the course, we emphasize the logical structure of relativity to show how the unexpected and counter intuitive consequences of the theory follow directly and inevitably from the principle of relativity (“the laws of physics are the same in all inertial reference frames”). We are committed to the idea of bringing a 3-credit physics course at the 100-level with broad intellectual appeal to students from all disciplines across campus. IV. Criteria: Briefly explain how this course meets the criteria for the group. See: http://www.umt.edu/facultysenate/ASCRCx/Adocuments/GE_Criteria5-1-08.htm 1. Courses explore a discipline in the natural sciences and demonstrate how the scientific method is used within the discipline to draw scientific conclusions. The study of Special Relativity encompasses virtually all sub-fields of physics including mechanics, electricity, magnetism, optics, and high-energy particle physics. The course serves as a nearly ideal general introduction to the knowledge, process, interpretation, and experimental verification of the natural sciences, including both an historical perspective and contemporary interpretations. Although we use special relativity as a springboard, this course examines general theoretical principles common to all of physics. 2. Courses address the concept of analytic uncertainty and the rigorous process required to take an idea to a hypothesis and then to a validated scientific theory. In this course students solve real problems in a variety of topics in modern physics. The intimate connection between experiment and theory is stressed in this course. Broad classes of phenomena are distilled into general physical laws on a weekly basis. The non-intuitive nature of relativity helps reinforce the rigorous process required to take an idea to a hypothesis and then to a validated scientific theory. This is not a lab course. 3. Lab courses engage students in inquirybased learning activities where they formulate a hypothesis, design an experiment to test the hypothesis, and collect, interpret, and present the data to support their conclusions. V. Student Learning Goals: Briefly explain how this course will meet the applicable learning goals. See: http://www.umt.edu/facultysenate/ASCRCx/Adocuments/GE_Criteria5-1-08.htm We explore the necessity of introducing 1. Students will understand the general relativity theory to match known experimental principles associated with the discipline(s) results. studied. 2. Students will understand the methodology and Special relativity has but one assumption. All of the startling consequences of the theory follow activities scientists use to gather, validate and from that; this course emphasizes the techniques interpret data related to natural processes. 3. Students will detect patterns, draw conclusions, develop conjectures and hypotheses, and test them by appropriate means and experiments. 4. Students will understand how scientific laws and theories are verified by quantitative measurement, scientific observation, and logical/critical reasoning. 5. Students will understand the means by which analytic uncertainty is quantified and expressed in the natural sciences. used in all areas of theoretical physics, but in a very self contained format. Although direct experimental verification of theory is difficult in the classroom, we study several famous experiments that provide verification. Also, the necessity of using relativistic corrections to navigational and GPS systems is stressed in the course. Since this is mainly a theory course, we rely on logical/critical reasoning the most, and students are challenged to match hypotheses to experimental results. We examine the uncertainty in several famous experiments that provide verification for Einstein’s theory of special relativity. VII. Syllabus: Paste syllabus below or attach and send digital copy with form. ⇓ The syllabus should clearly describe how the above criteria are satisfied. For assistance on syllabus preparation see: http://teaching.berkeley.edu/bgd/syllabus.html *Please note: As an instructor of a general education course, you will be expected to provide sample assessment items and corresponding responses to the Assessment Advisory Committee.