Introduction to Partial Differential Equations
Amherst , United States
Tuition Fee
Start Date
Medium of studying
Duration
Program Facts
Program Details
Degree
Courses
Major
Applied Mathematics | Mathematics | Numerical Analysis
Area of study
Mathematics and Statistics
Course Language
English
Intakes
| Program start date | Application deadline |
| 2024-02-01 | - |
| 2024-05-10 | - |
About Program
Program Overview
This lecture-based undergraduate course in second-order partial differential equations covers topics such as wave equations, heat equations, and Laplace equations. Assessment is based on homework, midterm exam, and final exam. The course is open to undergraduate math students and math & statistics graduate students, with 5 seats reserved for Commonwealth Honors College students.
Program Outline
Outline:
- Course Content: The course covers the following topics:
- Introduction to and classification of second-order partial differential equations
- Wave equation, heat equation and Laplace equation
- D'Alembert solution to the wave equation
- Solution of the heat equation
- Maximum principle
- Energy methods
- Separation of variables
- Fourier series
- Fourier transform methods and operator eigenvalue problems
- (Time-permitting) Numerical methods for partial differential equations
- (Time-permitting) Select examples of nonlinear partial differential equations
- Course Structure: The course is a lecture-based course.
- Course Schedule: The course meets on Mondays and Wednesdays from 2:30 PM to 3:45 PM in Lederle Grad Res Tower room 206.
Assessment:
- Assessment Methods: The final grade is determined based on:
- Homework
- In-class midterm
- Final exam
Teaching:
- Teaching Methods: The course is taught through lectures.
- Faculty: The instructor for the course is Oussama Landoulsi.
Other:
- Eligibility: The course is open to undergraduate Math students or Math & Statistics graduate students.
- Notes:
- 5 seats are reserved for Commonwealth Honors College Students.
- To submit an override request, visit: https://goo.gl/forms
jwWgVZjhsjWDP1y2
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About University
University of Massachusetts Amherst
Overview:
The University of Massachusetts Amherst is a public research university located in Amherst, Massachusetts. It is known for its diverse and inclusive community, offering a wide range of academic programs and research opportunities. UMass Amherst is committed to fostering innovation, creativity, and a health-promoting environment for its students.
Services Offered:
The university provides a comprehensive range of services for students, including:
Academic Advising:
Guidance and support for academic planning and course selection.Living and Dining:
On-campus housing options and dining services.Student Activities:
A variety of clubs, organizations, and events to engage students in extracurricular activities.Student Support and Wellness:
Resources for mental health, physical health, and academic support.Libraries:
Access to extensive library resources and research facilities.Financial Aid:
Financial assistance programs to support students' education.Student Life and Campus Experience:
UMass Amherst offers a vibrant campus life with a strong sense of community. Students can expect:
Diverse and Inclusive Environment:
A welcoming atmosphere for students from all backgrounds.Active Student Body:
Opportunities to participate in clubs, organizations, and events.Engaging Campus Activities:
A variety of social, cultural, and athletic events throughout the year.Life in Amherst:
Access to the town of Amherst, which offers a range of amenities and attractions.Key Reasons to Study There:
World-Class Public Research University:
UMass Amherst is recognized for its high-quality academic programs and research facilities.Innovative Learning Options:
Flexible and innovative learning opportunities, including online programs and UMass Flex.Strong Faculty:
A dedicated and experienced faculty committed to student success.Community Engagement:
Opportunities to engage with the local community through research and service projects.Sustainability Focus:
A commitment to environmental sustainability and responsible practices.Academic Programs:
UMass Amherst offers a wide range of academic programs, including:
Undergraduate Programs:
Over 110 undergraduate majors across various disciplines.Graduate Programs:
Over 127 graduate programs, including master's and doctoral degrees.4+1 Accelerated Master's Degree Programs:
Programs that allow students to earn both a bachelor's and master's degree in five years.Other:
Athletics:
UMass Amherst is home to a Division I athletics program with a variety of sports teams.Arts:
The university has a strong arts program with a Fine Arts Center, museums, and performing arts venues.Alumni Association:
A network of alumni who support the university and its students.Giving:
Opportunities to support the university through donations and philanthropy.Total programs
729
Average ranking globally
#103
Average ranking in the country
#54
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