MATH225 Spring, 2014Differential EquationsInstructor: Jennifer Strong• Contact Information:Office: SH206 Phone: x3715 Email: [email protected]• Office Hours: 1:00 - 3:50 TR• Class Day/Time: 1:00 - 1:50 or 3:00-3:50 MWF, Class Location: BBW280• Web Page/Blackboard link: blackboard.mines.eduTeaching Assistant:• Contact Information:Office: Phone: Email:• Office Hours:Instructional Activity: 3 Hours Lecture 1 Hours Lab 3 Semester HoursCourse Designation: X Common CoreCourse Description:Classical techniques for first and higher order equations and systems of equations. Laplace transforms.Phase plane and stability analysis on nonlinear equations and systems. Applications to physics, mechanics,electrical engineering, and environmental sciences. Prerequisites: C or better in MATH112 or MATH122.Text: Differential Equations with Boundary-Value Problems, 8th ed., Zill, Wright & Cullen, 2013.Student Learning Outcomes:At the conclusion of the class students will:1. Investigate the models of physical systems such as exponential and logistic growth, spring-mass systems,and LRC circuits using first and second order differential equations.2. Solve first and second order linear ordinary differential equations using classical techniques such asIntegrating Factors, the Method of Undetermined Coefficients, and Laplace Transforms.3. Solve 2 × 2 linear, constant-coefficient, homogeneous systems of differential equations using eigenvaluesand eigenvectors, and interpret the corresponding phase portraits.4. Apply the concepts of linearity, superposition, and existence & uniqueness of solutions to solve lineardifferential equations.Grading Procedures:Exams (2 @ 25% each): 50%Final Exam: 30%Worksheets: 15%Recitation Attendance: 5%Total: 100%90 - 100% A80 - 89% B70 - 79% C60 - 69% DBelow 60% FCoursework Return Policy:Barring any unforeseen circumstances, coursework (including worksheets, homework, quizzes, and exams)will be graded and returned to students within two weeks. Feedback will be provided on all coursework orsolutions will be posted. In general, final exams are not returned to the student nor are solutions posted,but students may schedule an appointment to review their final exam with their instructor.Absence Policy:The website http://inside.mines.edu/Student-Absences outlines CSM’s policy regarding student ab-sences. It contains information and documents to obtain excused absences. Note: “All absences that are notdocumented as excused absences are considered unexcused absences. Faculty members may deny a studentthe opportunity to make up some or all of the work missed due to unexcused absence(s). However, thefaculty members do have the discretion to grant a student permission to make up any missed academic workfor an unexcused absence. The faculty member may consider the student’s class performance, as well astheir attendance, in the decision.”Homework:In general, homework is due in class on the indicated due date. Though faculty members may choose, attheir discretion, to collect work at other times. The late policy for homework is determined by the individualinstructor of the course.The late policy for this course is:Common Exam Policy:All core courses in the AMS department have common exams. The dates of the common exams are listedon the course schedule below. Make-ups will only be issued in the event of excused absences (see the aboveabsence policy). It is the student’s responsibility to contact the instructor as soon as possible regarding theneed for a make-up due to an excused absence.Disability Accommodations:The website http://disabilities.mines.edu/accommodations.html outlines CSM’s disability services.The AMS department requests that any student requiring accommodations contact the instructor via emailor individual meeting within the first two weeks of class or within two weeks of receiving the accommodation.Policy on Academic Integrity/Misconduct:The Colorado School of Mines affirms the principle that all individuals associated with the Mines academiccommunity have a responsibility for establishing, maintaining an fostering an understanding and appreciationfor academic integrity. In broad terms, this implies protecting the environment of mutual trust within whichscholarly exchange occurs, supporting the ability of the faculty to fairly and effectively evaluate every studentsacademic achievements, and giving credence to the universitys educational mission, its scholarly objectivesand the substance of the degrees it awards. The protection of academic integrity requires there to be clearand consistent standards, as well as confrontation and sanctions when individuals violate those standards.The Colorado School of Mines desires an environment free of any and all forms of academic misconduct andexpects students to act with integrity at all times.Academic misconduct is the intentional act of fraud, in which an individual seeks to claim credit for the workand efforts of another without authorization, or uses unauthorized materials or fabricated information in anyacademic exercise. Student Academic Misconduct arises when a student violates the principle of academicintegrity. Such behavior erodes mutual trust, distorts the fair evaluation of academic achievements, violatesthe ethical code of behavior upon which education and scholarship rest, and undermines the credibility ofthe university. Because of the serious institutional and individual ramifications, student misconduct arisingfrom violations of academic integrity is not tolerated at Mines. If a student is found to have engaged in suchmisconduct sanctions such as change of a grade, loss of institutional privileges, or academic suspension ordismissal may be imposed.The complete policy is online at http://bulletin.mines.edu/undergraduate/policiesandprocedures/.Course Schedule and Important Dates:Week ofImportant DatesSectionsJan. 6 Classes Begin (Jan. 8th) 1.1Jan. 13 Recitations Begin (Jan. 16th) 1.2, 1.3, 2.1Jan. 20 Last Day to Add/Drop without W (Jan. 23rd) 2.1, 2.2, 2.3Jan. 27 2.3, 4.4-1st-order, 2.5-BernoulliFeb. 3 3.1, 3.2, 3.3Feb. 10 4.1, 4.3, 4.4Feb. 17 President’s Day-No Class (Feb. 17th) 4.4, 4.6Feb. 24 Exam 1 (Feb. 27th, 6:30-8:00pm) 4.6March 3 5.1March 10 Spring Break-No Class (March 10th-March 14th)March 17 7.1, 7.2, 7.3March 24 7.3, 7.4March 31 Last Day to W (April 3rd), E-Days-No Class (April 4th) 7.5April 7 Exam 2 (April 10th, 6:30-8:00pm) 7.5, App. IIApril 14 8.1, 8.2April 21 Last Day to W for New
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