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MATHEMATICS 3351.004 Higher Mathematics for Engineers and Scientists II Fall 2016 Professor: Dr. Linda Allen; Office: Math 117 I; Main Office Phone: 806-742-2580 Office Hours: MW: 1:00 p.m.–1:50 p.m., TR: 11:00 a.m.–12:00 p.m., or by appointment. Class Meeting Time and Room: TR: 9:30 a.m.–10:50 a.m., Math 109. Course Website: www.math.ttu.edu/linallen/Math3351Fall2016.html Prerequisite: Math 3350 or Math 3354 or equivalent course. Textbook: Advanced Engineering Mathematics, 5th Ed. by Zill and Wright. Material Covered: Chapter 8: Matrices: 8.1–8.8* Chapter 10: Systems of Linear Differential Equations: 10.1-10.2 Chapter 11: Systems of Nonlinear Autonomous Differential Equations: 11.1-11.3* Chapter 12: Orthogonal Functions and Series: 12.1-12.3,12.5* Chapter 13: Boundary-Value Problems in Rectangular Coordinates: 13.1-13.6, 13.8 Chapter 14: Boundary-Value Problems in Other Coordinate Systems: 14.1-14.3 Chapter 15: Integral Transform Methods: 15.1-15.4* *selected topics Expected Learning Outcomes: Students will learn basic theory of linear algebra and matrices including eigen- values and eigenvectors and their application in the solution of systems of linear ordinary differential equations. Students will become familiar with qualitative solution behavior, equilibrium and stability analyses in nonlinear autonomous systems of equations. Students will learn properties of Fourier series and how to apply these series in the solution of boundary value problems for partial differential equations, specifically, the heat equation, the wave equation, and Laplace’s equation in rectangular coordinates on finite domains. Finally, students will gain an understanding of other types of series and transforms useful in solving partial differential equations on various domains with specific boundary or initial data. Methods of Assessment of Learning Outcomes: Continuous assessment of the progress of the course occurs through ongoing communication between the instructor and the students. Students are encouraged to ask questions during class and to seek the instructor’s help outside of class when needed. Formal assessment occurs through exams, homework, in-class assignments, webwork, and attendance. (See descriptions below.) Exams: Three exams will be given (third exam during final exam week). No calculators allowed on exams. No make-up of exams except for documented sickness or participation in a university-sponsored event. Webwork, Homework, In-Class Assignments: Homework or webwork will be assigned approximately ev- ery week. Some assignments will be completed during class. No make-up of homework, webwork or in-class assignments. Attendance: Class attendance is important. The lectures explain and complement the material in the text. A thorough understanding of the material is significantly improved by diligent class attendance. If you need to leave a class early, please tell your instructor before the class starts. Course Grade: The assessment of student progress will include: (1) Three exams (70%), (2) homework, in-class assignments (15%), (3) webwork (15%) (4) attendance (borderline cases). Exam Date Exam 1 Thursday, September 29 Exam 2 Thursday, November 3 Exam 3 Saturday, December 10 (7:30 a.m.–10:00 a.m.)

MATHEMATICS 3351.004 Higher Mathematics for Engineers and

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MATHEMATICS 3351.004Higher Mathematics for Engineers and Scientists II

Fall 2016

Professor: Dr. Linda Allen; Office: Math 117 I; Main Office Phone: 806-742-2580Office Hours: MW: 1:00 p.m.–1:50 p.m., TR: 11:00 a.m.–12:00 p.m., or by appointment.

Class Meeting Time and Room: TR: 9:30 a.m.–10:50 a.m., Math 109.

Course Website: www.math.ttu.edu/∼linallen/Math3351Fall2016.html

Prerequisite: Math 3350 or Math 3354 or equivalent course.

Textbook: Advanced Engineering Mathematics, 5th Ed. by Zill and Wright.

Material Covered:Chapter 8: Matrices: 8.1–8.8*Chapter 10: Systems of Linear Differential Equations: 10.1-10.2Chapter 11: Systems of Nonlinear Autonomous Differential Equations: 11.1-11.3*Chapter 12: Orthogonal Functions and Series: 12.1-12.3,12.5*Chapter 13: Boundary-Value Problems in Rectangular Coordinates: 13.1-13.6, 13.8Chapter 14: Boundary-Value Problems in Other Coordinate Systems: 14.1-14.3Chapter 15: Integral Transform Methods: 15.1-15.4**selected topics

Expected Learning Outcomes: Students will learn basic theory of linear algebra and matrices including eigen-values and eigenvectors and their application in the solution of systems of linear ordinary differential equations.Students will become familiar with qualitative solution behavior, equilibrium and stability analyses in nonlinearautonomous systems of equations. Students will learn properties of Fourier series and how to apply these seriesin the solution of boundary value problems for partial differential equations, specifically, the heat equation, thewave equation, and Laplace’s equation in rectangular coordinates on finite domains. Finally, students will gainan understanding of other types of series and transforms useful in solving partial differential equations on variousdomains with specific boundary or initial data.

Methods of Assessment of Learning Outcomes: Continuous assessment of the progress of the courseoccurs through ongoing communication between the instructor and the students. Students are encouraged to askquestions during class and to seek the instructor’s help outside of class when needed. Formal assessment occursthrough exams, homework, in-class assignments, webwork, and attendance. (See descriptions below.)

Exams: Three exams will be given (third exam during final exam week). No calculators allowed on exams. Nomake-up of exams except for documented sickness or participation in a university-sponsored event.

Webwork, Homework, In-Class Assignments: Homework or webwork will be assigned approximately ev-ery week. Some assignments will be completed during class. No make-up of homework, webwork or in-classassignments.

Attendance: Class attendance is important. The lectures explain and complement the material in the text. Athorough understanding of the material is significantly improved by diligent class attendance. If you need to leavea class early, please tell your instructor before the class starts.

Course Grade: The assessment of student progress will include: (1) Three exams (70%), (2) homework, in-classassignments (15%), (3) webwork (15%) (4) attendance (borderline cases).

Exam Date

Exam 1 Thursday, September 29Exam 2 Thursday, November 3Exam 3 Saturday, December 10 (7:30 a.m.–10:00 a.m.)

Important Dates and Facts:

1. Monday, September 5, Labor Day

2. Wednesday, September 14, Last day of student-initiated drop without academic penalty

3. Wednesday-Sunday, November 23-27, Thanksgiving vacation

4. Monday, October 31, Last day of student-initiated drop with academic penalty

5. Wednesday, December 7, Last day of classes

6. Civility in the Classroom: Texas Tech University is a community of faculty, students, and staff thatenjoys an expectation of cooperation, professionalism, and civility during the conduct of all forms of uni-versity business, including the conduct of student–student and student–faculty interactions in and out ofthe classroom. Further, the classroom is a setting in which an exchange of ideas and creative thinkingshould be encouraged and where intellectual growth and development are fostered. Students who disruptthis classroom mission by rude, sarcastic, threatening, abusive or obscene language and/or behavior will besubject to appropriate sanctions according to university policy.

7. Academic Integrity: It is the aim of the faculty of Texas Tech University to foster a spirit of completehonesty and high standard of integrity. The attempt of students to present as their own any work nothonestly performed is regarded by the faculty and administration as a most serious offense and rendersthe offenders liable to serious consequences, possibly suspension. Scholastic dishonesty includes, but itnot limited to, cheating, plagiarism, collusion, falsifying academic records, misrepresenting facts, and anyact designed to give unfair academic advantage to the student (such as, but not limited to, submission ofessentially the same written assignment for two courses without the prior permission of the instructor) orthe attempt to commit such an act.

8. Observance of Religious Holy Day: “Religious holy day” means a holy day observed by a religion whoseplaces of worship are exempt from property taxation under Texas Tax Code 11.20. A student who intendsto observe a religious holy day should make that intention known in writing to the instructor prior to theabsence. A student who is absent from classes for the observance of a religious holy day shall be allowedto take an examination or complete an assignment scheduled for that day within a reasonable time afterthe absence. A student who is excused may not be penalized for the absence; however, the instructor mayrespond appropriately if the student fails to complete the assignment satisfactorily.

9. Accommodation of Students with Disabilities: Any student who, because of a disability, may requirespecial arrangements in order to meet the course requirements should contact the instructor as soon aspossible to make any necessary arrangements. Students should present appropriate verification from StudentDisability Services during the instructors office hours. Please note: instructors are not allowed to provideclassroom accommodations to a student until appropriate verification from Student Disability Services hasbeen provided. For additional information, please contact Student Disability Services in West Hall or call806-742-2405.