Washtenaw Community College Comprehensive Report. MTH 295 Differential Equations Effective Term: Fall 2011

Transcription

1 Page 1 of 6 Washtenaw Community College Comprehensive Report MTH 295 Differential Equations Effective Term: Fall 2011 Course Cover Division: Math, Natural and Behavioral Sciences Department: Mathematics Discipline: Mathematics Course Number: 295 Org Number: Full Course Title: Differential Equations Transcript Title: Differential Equations Is Consultation with other department(s) required: No Publish in the Following: College Catalog, Time Schedule, Web Page Reason for Submission: Three Year Review j Assessment Report Change Information: Course description Pre-requisite, co-requisite, or enrollment restrictions Outcomes/ Assessment Objectives/Evaluation Rationale: Update course objectives and course materials. Proposed Start Semester: Fall 2011 Course Description: This is a one-semester course on solving elementary differential equations. Topics include: solving 1st order basic differential equations, solving higher order linear differential equations with constant coefficients, Laplace Transforms, solving systems of linear equations using the eigenvalue method. Successful completion of MTH 197 (Linear Algebra) is strongly recommended. A graphing calculator is required for this course. See the time schedule for current brand and model. Course Credit Hours Variable hours: No Credits: 4 Lecture Hours: Instructor: 6o Student: 6o Lab: Instructor: o Student: o Clinical: Instructor: o Student: o Total Contact Hours: Instructor: 6o Student: 6o Repeatable for Credit: NO Grading Methods: Letter Grades Audit Are lectures, labs, or clinicals offered as separate sections?: NO (same sections) College-Level Reading and Writing College-level Reading & Writing College-Level Math No Level Required Requisites Prerequisite MTH 293 minimum grade "C" jwww.curricunet.comjwashtenawjreportsjcourse_outline_html.cfm?cour... 3/25/2011

2 Page 2 of6 General Education Degree Attributes Assoc in Applied Sci - Area 3 Assoc in Science - Area 3 Assoc in Arts - Area 3 MACRAO Science & Math Request Course Transfer Proposed For: Student Learning Outcomes 2. Solve systems oflinear differential equations. jwww.curricunet.comjwashtenawjreportsjcourse_outline_html.cfm?cour... 3/25/2011

3 Page 3 of 6 4 Use Laplace Transforms to solve differential equations or systems of differential equations. Course section(s)/other population: All sections s. Solve both homogeneous and non-homogeneous differential equations. 7. Use a graphing approach to illustrate the properties of solutions to differential equations or systems of differential equations. Course seetion(s)jother population: All sections / 3/25/2011

4 Page 4 of 6 Course Objectives 1. Recognize differential equations by type, order and linearity, then find appropriate approaches for their solutions. 2. Solve both separable and non-separable differential equations using a variety of methods. 3. Determine the characteristic equation of a linear differential equation, then solve the differential equation. 4 Solve Initial Value Problems using the Laplace Transform method, numerical methods or other methods. / 3/25/2011

5 Page 5 of 6 s. Apply a variety of methods for solving differential equations or systems of differential equations. 6. Generate and analyze slope fields, direction fields and solution curves. Class Attendance, Participation or Work 7. Apply the differential equations concepts and tools to everyday practical problems such as the following: electrical circuits, mechanical systems, simple harmonic oscillator and population growth. / 3/25/2011

6 Page 6 of6 New Resources for Course Course Textbooks/Resources Textbooks Manuals Periodicals Software Equipment/Facilities Level III classroom Reviewer Faculty Preparer: Department Chair I Area Director: Kristin Chatas Dean: Martha Showalter Vice President for Instruction: Stuart Blacklaw Action Faculty Preparer Recommend Approval Recommend Approval Approve Date Dec 09, 2010 Dec 15, 2010 Dec 21, 2010 Feb 04, jwww.curricunet.comjwashtenaw /reports/ course_outline_html.cfm?cour... 3/25/2011