Not too easy. Not too difficult.
Course Overview:
I would highly recommend this course to any mathematicians, engineers, physicists, or even those who may have to apply both ordinary and partial differential equations within their line of work or research. Dr. Liu has been a phenomenal and understanding professor just for a course that lasts only 8 weeks. Homework assignments are not implacable, the professor is always available not just for in-class questions regarding homework and assignments but also for questions regarding research and recommendation letters. The course has been stimulating, challenging, and very applicable for me since a lot of the mathematical concepts and proofs are usable for applications such as heat conduction, the wave equation, and even Poisson's equation.
Course highlights:
After taking this course, I learned in terms of application how to recognize the partial differential equations that model real life situations that occur frequently in physical, engineering and other sciences, classify partial differential equations in terms of order, linearity, degree, and type, transform given second-order equations into one of three standard forms: hyperbolic, parabolic, or elliptic, apply methods of Fourier series and Separation of variables, and apply transform methods for solving partial differential equations which are all very handy and useful skills in my treasure box of tools as a physicist. I learned how to also study and to prepare adequately for class (which helps in terms of professional development), and I also learned more about my own self – this class really demonstrated to me not only my own natural aptitude for math but also my capability for achieving.
Hours per week:
6-8 hours
Advice for students:
If you attend lecture (which I had to do as an online student since I was also conducting summer research at the same time), ask questions, go over notes, are willing to put in at least 5-6 hours of study time for every lecture, and are willing to prepare study sheets or utilize current study sheets to prepare for exams, this class will not only be enjoyable but you should find yourself exhibiting a lot of success in this class.