Differential equations online course community college

Department of Science, Technology, Engineering & Mathematics: Mathematics

I. Course Number and also TitleMATH250Differential EquationsII. Number of Credits3 creditsIII. Number of Instructional Minutes2250IV. PrerequisitesMATH141 (C or better)CorequisitesNoneV. Other Pertinent InformationA minimum of 3 (3) tests and a Departpsychological Final Examination will be had in the course.VI. Catalog Course DescriptionTopics for this course incorporate first order and greater order simple differential equations; linear differential equations with consistent coefficients; differential operators, non-homogenous differential equations and their options, special methods for solving simple differential equations, and also Lalocation transforms.VII. Required Course Content and Direction

Course Learning Goals

Students will:

acknowledge assorted forms of differential equations; solve differential equations by unique techniques; apply differential equations to resolve troubles including mechanical vibrations; and usage Laplace Transcreate to resolve differential equations.

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Planned Sequence of Topics and/or Learning Activities

Direction fields and also the approximation approach of EulerFirst order differential equations, consisting of separable, exact, linear Homogenous equations and also Bernoulli equationsLiclose to Differential OperatorsFundamental Solutions of Homogenous equations Homogenous Linear equations with consistent coefficients Superposition and Nonhomogenous differential equations Methods of Unfigured out coefficients Mechanical Vibrations and Simple Harmonic MotionDamped Free Vibrations and also Forced Vibrations Definitions and also properties of Lalocation Transdevelop Inverse Lalocation Transdevelop Solving initial value difficulties using Laarea Transcreate Lalocation Transforms and also distinct functions

Assessment Methods for Course Learning Goals

The student uses mathematical principles and values to recognize and also resolve problems presented through informal assessment, such as oral communication among students and also between teacher and students. Formal assessment is composed of open-finished inquiries mirroring theoretical and applied situations.

A minimum of 70% of a student"s grade must be determined from proctored assessments and work. These proctored assessments include tests, quizzes, last exam, or various other proctored in-class assignments.

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The last exam should be at least 20% of the course grade. Study guides, formula sheets, and other aids may not be used on the last exam.

Reference, Reresource, or Learning Materials to be provided by Student:

Departmentally-selected textbook and a TI-30X IIS clinical calculator (not the MultiView series). Details provided by the instructor of each course area. See course syllabus.

Review/Approval Date - 9/98; New Core 8/2015; Updated 11/2019