# Course 1 (Fall 2020 ) MAP 4305/5304 DIF EQUA EG & PHY SCI/INTERMED DIFF EQUATNS

### Time and Location

MWF2, 8:30-9:20am    Online.

Office Hour: TH 3pm-4pm.

### Description and Goals

Prerequisite: MAP 2302 is required. It is also desirable to have a decent understanding of a Linear Algebra course.

We will cover much of Chapters 8,9, and 10 of the textbook. This includes
Series solutions, Matrix methods for systems,some elementary Partial Differential Equations and Eigenvalue Problems.

### Homework/Textbook

Homework will be regularly assigned and collected regularly.

Fundamentals of Differential Equations and Boundary Value Problems, 7th Edition,
by R. Kent Nagle, Edward B. Saff and Arthur David Snider. Most of my lectures will be based on this textbook.

### Final Grades:  There will be three in class mid-term exams ( 20% each) , which will all be based upon the suggested problems. 10% of the grade will come from homework problems. The final exam is worth 30%.

Exam 1 Sept 28  (mid-term)

Exam 2 October 26  (mid-term)

Exam 3, November 23 (mid-term).

Final Exam: December 17  7:30am-9:30am.

### Schedule of topics:

Taylor Polynomial Approximation, Power Series and Analytic Functions, Power Series Solutions to Linear Differential Equations, Equations with Analytic Coefficients, Method of Frobenius, Finding a second linearly independent solution, Linear Algebraic equations, Linear System in Normal Form, Homogeneous Linear System with Constant coefficients, Complex Eigenvalues, Nonhomogeneous Linear Systems, The matrix Exponential Functions, Method of Separation of Variables, Fourier Series, Fourier Sine and Cosine Series, The Heat Equation, The Wave Equation, Laplace Equation, then possible topics in Chapter 11 as well, if time permits.

Grades will then be assigned based upon the following scale: A 88% – 100% B+ 83% – 87% B 78% – 82% C+ 75% – 77% C 70% – 74% D+ 65% -69% D 60% – 64% E 0% – 59%

### Attendance and Late Policy

Attendance of lectures is voluntary. Make-up exams can be allowed if the student can provide documents to verify the EXTREMELY urgent nature of his/her absence.

ABSOLUTELY NO MAKEUPS WITHOUT MEDICAL DOCUMENTATION. Requirements for class attendance and make-up exams, assignments, and other work in this course are consistent with university policies that can be found at :

### Students that need accommodation

Students with disabilities requesting accommodations should first register with the Disability Resource Center (352-392-8565, www.dso.ufl.edu/drc/) by providing appropriate documentation. Once registered, students will receive an accommodation letter which must be presented to the instructor when requesting accommodation. Students with disabilities should follow this procedure as early as possible in the semester.

### Information on course evaluation

Students are expected to provide feedback on the quality of instruction in this course by completing online evaluations at https://evaluations.ufl.edu. Evaluations are typically open during the last two or three weeks of the semester, but students will be given specific times when they are open. Summary results of these assessments are available to students at https://evaluations.ufl.edu/results/.

### Requirements on class attendance, make-up exams and other things:

Students are required to attend all the lectures. Make-up exams can only be given under extremely rare situations and the students must provide convincing documents to show the extremely urgent nature of absence.  Look at the following link for guidance: