MATH 316 - Differential Equations
Fall 2013, Section 001
Instruction Mode: Section 001 is (see other Sections below)
Subject: Mathematics (MATH)
Department: LSA Mathematics
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Details

Credits:
3
Requirements & Distribution:
BS
Credit Exclusions:
Credit can be earned for only one of MATH 216, 256, 286, or 316.
Waitlist Capacity:
10
Enforced Prerequisites:
Permission required after credit earned in MATH 216, 256, or 286.
Advisory Prerequisites:
MATH 215, 255, or 285 and 217.
BS:
This course counts toward the 60 credits of math/science required for a Bachelor of Science degree.
Repeatability:
May not be repeated for credit.
Primary Instructor:

Description

Background and Goals: This is an introduction to differential equations for students who have studied linear algebra (MATH 217). It treats techniques of solution (exact and approximate), existence and uniqueness theorems, some qualitative theory, and many applications. Proofs are given in class; homework problems include both computational and more conceptually oriented problems.

Content: First-order equations: solutions, existence and uniqueness, and numerical techniques; linear systems: eigenvector-eigenvalue solutions of constant coefficient systems, fundamental matrix solutions, nonhomogeneous systems; higher-order equations, reduction of order, variation of parameters, series solutions; qualitative behavior of systems, equilibrium points, stability. Applications to physical problems are considered throughout.

Alternatives: MATH 216 covers somewhat less material without presupposing linear algebra and with less emphasis on theory. MATH 286 (Honors Differential Equations) is the Honors version of MATH 316.

Subsequent Courses: MATH 471 (Intro. to Numerical Methods) and/or MATH 572 (Numer. Meth. For Sci. Comput. III) are natural sequels in the area of differential equations, but MATH 316 is also preparation for more theoretical courses such as MATH 451 (Advanced Calculus I).

Schedule

MATH 316 - Differential Equations
Schedule Listing
001 (LEC)
 In Person
12124
Closed
0
 
-
MWF 1:00PM - 2:00PM
002 (LEC)
 In Person
24126
Open
1
 
-
MWF 2:00PM - 3:00PM

Textbooks/Other Materials

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Syllabi

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