Editing MATH 2552
From Georgia Tech Student Wiki
Warning: You are not logged in. Your IP address will be publicly visible if you make any edits. If you log in or create an account, your edits will be attributed to your username, along with other benefits.
The edit can be undone. Please check the comparison below to verify that this is what you want to do, and then save the changes below to finish undoing the edit.
| Latest revision | Your text | ||
| Line 1: | Line 1: | ||
{{DISPLAYTITLE:MATH 2552 - Differential Equations}} |
{{DISPLAYTITLE:MATH 2552 - Differential Equations}} |
||
| − | '''MATH 2552''' |
+ | '''MATH 2552''' is a 4 credit core [[Mathematics|math]] class in differential equations. |
== Topic List == |
== Topic List == |
||
| Line 38: | Line 38: | ||
*** Repeated Eigenvalues |
*** Repeated Eigenvalues |
||
*** Zero Eigenvalues |
*** Zero Eigenvalues |
||
| − | ** Free Vibrations |
||
| − | ** Nonhomogeneous Equations |
||
| − | *** Method of Undetermined Coefficients |
||
| − | *** Variation of Parameters |
||
| − | ** Forced Vibrations |
||
| − | * The Laplace Transform |
||
| − | ** The Inverse Laplace Transform |
||
| − | ** Solving Differential Equations |
||
| − | ** Discontinuous Functions |
||
| − | ** Periodic Functions |
||
| − | ** Impulse Functions |
||
| − | ** Convolution |
||
| − | * Nonlinear Systems |
||
| − | ** Stability |
||
| − | ** Almost Linear Systems |
||
| − | ** Competing Species |
||
| − | ** Predator-Prey Systems |
||
| − | ** Lorenz Attractor |
||
| − | * Numerical Methods |
||
| − | ** Euler's Method |
||
| − | ** Improved Euler's Method |
||
| − | ** Runge-Kutta Method |
||
| + | This list is incomplete |
||
| − | == Class Structure == |
||
| − | MATH 2552 is a core math class focused more on computation than pure theory. |
||
| − | |||
| − | === Chen === |
||
| − | At the beginning of the course, Chen posts a comprehensive course schedule that contains all topics, lecture notes, and textbook exercises. In addition, Chen makes lectures and studios optional, allowing the course to be easily self-studied. Chen's quizzes and exams tend to be straightforward, containing problems very similar to the textbook examples, if not easier. |
||
== Prerequisite Knowledge == |
== Prerequisite Knowledge == |
||
=== Single Variable Calculus === |
=== Single Variable Calculus === |
||
| − | [[Single Variable Calculus|Single variable calculus]] is used extensively throughout MATH 2552. Differential equations is often considered to be another calculus course, and uses differentiation and/or integration in almost every topic. Partial fraction decomposition is used frequently when working with Laplace transforms. |
||
=== Linear Algebra === |
=== Linear Algebra === |
||
| ⚫ | |||
| − | [[Linear Algebra|Linear algebra]] is also used extensively throughout MATH 2552. Eigenvalues and eigenvectors are used to analyze systems of differential equations and second order linear differential equations. Other linear algebra topics, such as row reduction, linear combinations, and linear independence are also used in the analysis of these types of differential equations. |
||
| − | |||
| − | == Scheduling == |
||
| − | MATH 2552 is required by most engineering and science majors, and it is also required for the [[modsim]] thread in [[cs]]. It is a prerequisite itself for many classes required by engineering and science majors. Due to its prerequisites, MATH 2552 is generally taken sometime between late freshmen year and early sophomore year. |
||
| − | |||
| − | === Equivalent Courses === |
||
| − | |||
| − | * [[MATH 2562]] is the honors equivalent, which includes additional topics and goes into more depth in general. |
||
| − | |||
| − | == Resources == |
||
| − | |||
| − | * https://www.youtube.com/user/msebastiznf/playlists is a set of youtube videos created by Sebastian Fernandez, a former MATH 2552 TA. These videos cover the entire course and are very popular. |
||
| − | |||
| ⚫ | |||
