Partial Differential Equations

In these recitation sessions, my primary goal is to help you develop a grasp of the concepts and techniques discussed in the main lectures. I will focus on problem-solving and provide additional exercises to enhance your understanding of the covered material. Below you will find exercise sheets corresponding to each recitation session. I aim to cover as many problems as possible during our sessions. However, if time constraints prevent me from solving all the exercises, I encourage you to work on them as independent exercises. If you encounter any questions or difficulties while working on the exercises, please feel free to reach out to me via email, specifying the problem number, and I will do my best to assist you.

Week 1

Notes: Find the notes on integral curves and vector fields here: Link to Notes
Exercise Sheet: Access the exercise sheet here: Link to Exercise Sheet
Answer Key for Recitation 1: You can find the answer key to the exercise sheet here: Link to Answer Key

Week 2

Exercise Sheet: Access the exercise sheet here: Link to Exercise Sheet
Answer Key for Recitation 2: You can find the answer key to the exercise sheet here: Link to Answer Key

Week 3

Exercise Sheet: Access the exercise sheet here: Link to Exercise Sheet
Answer Key for Recitation 3: You can find the answer key to the exercise sheet here: Link to Answer Key

Week 4

Exercise Sheet: Access the exercise sheet here: Link to Exercise Sheet
Answer Key for Recitation 4: You can find the answer key to the exercise sheet here: Link to Answer Key
Solution Key for Recitation 4: You can find the solution key to the exercise sheet here: Link to Solution Key

Week 5

Exercise Sheet: Access the exercise sheet here: Link to Exercise Sheet
Answer Key for Recitation 5: You can find the answer key to the exercise sheet here: Link to Answer Key (will be updated)

Practice Midterm Exam 1

Practice Midterm Exam 1: Available
Practice Midterm Exam 1 (Solution key): Available

Week 6

Exercise Sheet: Access the exercise sheet here: Link to Exercise Sheet
Solution Key for Recitation 6: You can find the solution key to the exercise sheet here: Link to Solution Key

Week 7

Exercise Sheet: Access the exercise sheet here: Link to Exercise Sheet(will be uploaded)

Week 8

Exercise Sheet: Access the exercise sheet here: Link to Exercise Sheet
Solution Key for Recitation 8: You can find the solution key to the exercise sheet here: Link to Solution Key

Week 9

Exercise Sheet: Access the exercise sheet here: Link to Exercise Sheet
Solution Key for Recitation 9: You can find the solution key to the exercise sheet here: Link to Solution Key

Practice Midterm Exam 2

Practice Midterm Exam 2: Available
Practice Midterm Exam 2 (Solution key): Available

Week 10

Exercise Sheet: Access the exercise sheet here: Link to Exercise Sheet
Solution Key for Recitation 10: You can find the solution key to the exercise sheet here: Link to Solution Key

References

1. Constanda, C. (2010). Solution Techniques for Elementary Partial Differential Equations (2nd ed.). Chapman and Hall/CRC. https://doi.org/10.1201/b12773
2. Debnath, L. (2012). Nonlinear Partial Differential Equations for Scientists and Engineers (3rd ed.). Springer. https://doi.org/10.1007/978-0-8176-8265-1
3. Olver, P. J. (2014). Introduction to Partial Differential Equations. Springer International Publishing. https://doi.org/10.1007/978-3-319-02099-0
4. Sinha, R. K. (n.d.). Partial Differential Equations [Course notes]. Indian Institute of Technology, Guwahati. https://nptel.ac.in/courses/111103021
5. Sneddon, I. N. (1957). Elements of Partial Differential Equations. International Series in Pure and Applied Mathematics. McGraw-Hill.
6. Zachmanoglou, E. C., & Thoe, D. W. (1976). Introduction to Partial Differential Equations with Applications. Dover Publications.