Course Outline of Record Los Medanos College 2700 East Leland Road Pittsburg CA Course Title: General College Physics Calculus Supplement I

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1 New Course OR Existing Course Author(s): Kurt Crowder Subject Area/Course No.: PHYS-037 Units: 0.5 Discipline(s): Physics, Astronomy, Engineering Pre-Requisite(s): NONE Co-Requisite(s): PHYS-035; MATH-037or MATH-050 Advisories: None Catalog Description: This course, taken with PHYS 35, is equivalent to a calculus-based physics course. Students learn how to solve calculus-based physics problems in mechanics and thermodynamics, such as center of mass, moments of inertia, and the work done by a gas undergoing various types of expansion. Students will also learn how to convert from approximate, non-calculus formulas to the exact, calculus-based formulas. Schedule Description: Taking this course, along with PHYS 35, is equivalent to taking a calculus-based physics course. You will learn how to solve calculus-based physics problems in mechanics and thermodynamics, such as center of mass, moments of inertia, and the work done by a gas undergoing various types of expansion. You will discover that it is actually easier to formulate the laws of physics in terms of exact calculus based formulas than in terms of the approximate formulas used in non-calculus courses. This course is typically required for Architecture and Pre-Med majors. Hrs/Mode of Instruction: Lecture: _9 Scheduled Lab: HBA Lab: Composition: Activity: Total Hours _9 Credit Credit Degree Applicable (DA) Grading Pass/No Pass (P/NP) Repeatability 0 Credit Non-Degree (NDA) Letter (LR) 1 Student Choice (SC) 2 3 Last date of Assessment: Fall 2014 Cohort #: _3 Please apply for: LMC General Education Requirement(s): None Transfer to: CSU UC IGETC Area CSU GE Area C-ID Number Course is Baccalaureate Level: Yes No Form Revised Page 1 of 6

2 Signatures: Department Chair Librarian Dean (Technical Review) Curriculum Committee Chair President/Designee CCCCD Approval (Board or Chancellor's Office) STAND ALONE COURSE: YES NO Course approved by Curriculum Committee as Baccalaureate Level: YES NO LMC GE Requirement Approved by the Curriculum Committee: FOR OFFICE OF INSTRUCTION ONLY. DO NOT WRITE IN THE SECTION BELOW. Begin in Semester Catalog year 20 /20 Class Max: Dept. Code/Name: T.O.P.s Code: Crossover course 1/ 2: ESL Class: Yes / No DSPS Class: _Yes / No Coop Work Exp: Yes / No Class Code A Liberal Arts & Sciences SAM Code A Apprenticeship Remediation Level B Basic Skills B Developmental Preparatory B Advanced Occupational NBS Not Basic Skills C Adult/Secondary Basic Education C Clearly Occupational D Personal Development/Survival D Possibly Occupational E For Substantially Handicapped E* Non-Occupational F Parenting/Family Support G Community/Civic Development *Additional criteria needed H General and Cultural 1 One level below transfer I Career/Technical Education 2 Two levels below transfer J Workforce Preparation Enhanced 3 Three levels below transfer K Other non-credit enhanced Not eligible for enhanced Form Revised Page 2 of 6

3 Institutional Student Learning Outcomes: General Education SLOs: At the completion of the LMC general education program, a student will: 1. read critically and communicate effectively as a writer and speaker. 2. understand connections among disciplines and apply interdisciplinary approaches to problem solving. 3. think critically and creatively 4. consider the ethical implications inherent in knowledge, decision-making and action. 5. possess a worldview informed by diverse social, multicultural and global perspectives. None Program-Level Student Learning Outcomes (PSLOs): None. Course-Level Student Learning Outcomes (CSLOs): At the end of the course, students will be able to: 1. Solve mechanics and thermodynamics physics problems using single variable calculus. 2. Derive exact calculus based formulas for mechanics and thermodynamics from approximate, non-calculus formulas using the theory of limits and Riemann sums. 3. Justify certain calculus-based mechanics and thermodynamics physics formulas from first principles. Assessment Instruments: Homework In-Class Midterms/Final CSLO 1 X X X CSLO 2 X X X CSLO 3 X X X CSLO 1: (Homework Problems, In-Class Work, Midterm and Final Exam) The homework, in-class work, midterm, and final exam require the student to use calculus to solve a physics problem. A typical homework, in-class, midterm, or final exam problem would be: Using the integral formula for the moment of inertia, compute the moment of inertia for a homogeneous sphere about an axis through its center. Let the mass be M and let the radius be R. If the mass is 5.0 kg and the radius is 0.35 m, then what is the moment of inertia? Rationale: This allows the professor to assess the student s ability to use calculus to solve calculus based mechanics and thermodynamics physics problems. Calculus is the most precise and powerful tool for solving physics problems. For example, if we have a function of displacement versus time, we can find the approximate values of the velocity by locating two points on the curve, computing rise over run, and using this ratio to compute the approximate slope between the two points. With calculus, however, we can find the exact value of the velocity by taking the derivative of the displacement versus time function. Form Revised Page 3 of 6

4 CSLO 2: (Homework Problems, In-Class Work, Midterm and Final Exam) The homework, in-class work, midterm, and final exam require the student to develop exact calculus based formulas from approximate, non-calculus formulas. A typical homework, in-class, midterm, or final exam problem would be: Convert this formula into the corresponding calculus formula: Δ Δ Consider the limit as the Dmi s become infinitesimally small. For a student to truly understand a calculus formula, he or she must be able to retrieve it from the approximate formula given in Physics 35. These assessments allow the professor to assess the student s ability to derive exact calculus based formulas from approximate, non-calculus formulas. CSLO 3: (Homework Problems, In-Class Work, Midterm and Final Exam) The homework, in-class work, midterm, and final exam require the student to derive certain calculus-based physics formulas from first principles. A typical homework, in-class, midterm, or final exam problem would be: Using the definitions for displacement, velocity, and acceleration, derive the constant acceleration kinematic formulas for velocity and displacement as functions of time. Using the relationship:, derive the formula for v 2 as a function of displacement and acceleration. A student cannot truly understand a physics formula unless she or he is able to derive it from first principles. This is also a very valuable skill to have when a book is not available. These assessments allow the professor to assess the student s ability to justify certain calculus based mechanics and thermodynamics physics formulas from first principles. Method of Evaluation/Grading: A-level student work is characterized by: completing mechanics and thermodynamics physics homework problems when due, with detailed explanations of problem solutions, formula conversions, and derivations that are at least 90% accurate; in class work, midterms and the final that answer thermodynamics physics problems with a minimum of 90% accuracy and include detailed, correct explanations. Units are carried through entire calculations. C- level student work is characterized by: completing mechanics and thermodynamics physics homework problems when due, with detailed explanations of answers that are 70% to 79% accurate; in class work, midterms and the final that answer thermodynamics physics problems with 70% to 79% accuracy and include correct explanations. Correct units are given with numerical answers. Grading: Possible Point Structure: Homework: 35% In-Class Work: 20% Midterm: 20% Final: 25% Form Revised Page 4 of 6

5 Course Content: I. Review of Calculus Principles A. The concept of the derivative. B. Solving max-min problems. C. The concept of the integral. II. Applications to Mechanics A. Kinematics 1. Straight line motion. 2. Projectile motion. B. Newton s second law 1. Applications to linear motion. 2. Applications to centripetal force. C. Generalized Newton s second law 1. Impulse and momentum. 2. Variable mass systems. D. Work and Energy 1. Work as a line integral. 2. Defining power and energy. 3. Kinetic energy 4. Potential energy 5. Work-Energy theorem 6. Conservation of energy E. Rotational Mechanics 1. Rotational analogs to translational variables. 2. Gravitational torques and center of mass. 3. Moment of inertia. F. Gravitation 1. Newton s Universal Law of Gravitation 2. Kepler s laws and orbital mechanics III. Applications to Thermodynamics A. Definitions 1. Temperature 2. Heat 3. Internal energy B. Heat transfer 1. Conduction 2. Convection 3. Radiation C. Work Done by Expanding Gases 1. Isothermal 2. Adiabatic D. The First Law of Thermodynamics 1. General results 2. Heat capacities E. The Second Law of Thermodynamics Form Revised Page 5 of 6

6 1. The Clausius statement of the 2 nd law 2. Heat engines, efficiencies, and the Carnot formula 3. Definition of entropy 4. Some problems from the Kinetic Theory of Gases IV. Oscillations A. Hooke s Law B. Energy transformations during oscillations C. Applications Lab By Arrangement Activities (If Applicable): NA Instructional Methods: Lecture (All CSLOs) Lab Activity Problem-based Learning/Case Studies (CSLOs 1 and 2) Collaborative Learning/Peer Review (All CSLOs) Demonstration/Modeling (All CSLOs) Role-Playing Discussion (All CSLOs) Computer Assisted Instruction (All CSLOs) Other (explain) Textbooks: Young and Stadler, (aka: Cutnell & Johnson) Physics, Wiley, 10 th Edition, Form Revised Page 6 of 6