This class was tough.
Course Overview:
I would recommend it because differential equations are used to model many physical processes that happen in nature, and understanding how to manipulate and understand differential equations is essential to further a career in engineering.
Course highlights:
The highlights of this course were using summation series in order to figure out the solutions to a second order differential equation with polynomials for coefficients. Especially Euler-cachy equations.
Hours per week:
9-11 hours
Advice for students:
Study hard, do your homework and go to class as often as you can. The book is your friend, but only if you learn to read and understand the notation in it. It is an extremely difficult class, but it is understandable if you put your mind to it.
Not too easy. Not too difficult.
Course Overview:
Dr. Rusnak is encouraging, fair, and direct. His test reflect his notes, and he strives to understand the problem solving strategies of his students along with his own advice into correcting any patterns the students may have developed along above mentioned strategies.
Course highlights:
I learned about homogeneous differential equations, Non-Homogeneous Differential Equations, the physics of vector fields and how to force Non- Exact forms such as Mdx-Ndy=p into Exact forms to perform any necessary integrations required to obtain particular solutions to work integral problems. You will learn about Ordinary Differential Equations, Regular Singular Points and Irregular Singular Points along side the necessary Power Series Solutions required to solve them. He will explain in detail Reduction of Order which is required to obtain a second solution, variation of parameters which takes into account any Forcing Functions e.g. alternating current (A.C.). You will learn how to find solutions about singularities, Solve Laplace Transforms and much more. The course neglects systems, although Dr. Lucas Rusnak regrets not teaching systems. Systems is not offered at the University of Texas at Austin either, but Austin Community College does. I currently tutor systems now, and was able to help many students due to Dr. Rusnaks very will structured course, and fair grading system. The course is very direct and thorough. I highly recommend Dr. Rusnak, because he will make sure you understand the above mentioned concepts clearly.
Hours per week:
12+ hours
Advice for students:
Brush up on your College Algebra, Trigonometry, Hyperbolic Functions, Integration by parts, partial fraction decomposition, and Calculus Three. Calculus Three is not required; but you will be using Differential Equation techniques as a means to force exactness, and exactness is very important and the integrals are performed in Calculus Three. I highly recommend taking Calculus Three even though it is not a course requirement.