**Prerequisite:**You must have B or higher in MATH 1502 OR MATH 1512 OR MATH 1555 OR MATH 1504 ((MATH 1552 OR MATH 15X2 OR MATH 1X52) AND (MATH 1522 OR MATH 1553 OR MATH 1554 OR MATH 1564 OR MATH 1X53)) to enroll.

**Meeting time**: TuTh 3-4:15 in Skiles 249

**Office hours:**TBA, or by appointment

**Required Text:**Ordinary Differential Equations: Basics and Beyind, Schaeffer and Cain (free download from GT library)

Suggested Text: Differential Equations, Dynamical Systems, and an Introduction to Chaos, Hirsch, Smale, and Devaney

**Grading:**Quizzes (20%), 2 exams (40%), final exam (30%), project (10%)

**[still in flux]**

Final grades will be calculated as follows: A:90-100, B:80-89, C:70-79, D:60-69, F: <60

Official Syllabus

Our quantitative understanding of the world is often expressed as relationships between rates of change of quantities, such as position and time, chemical concentrations and time, population densities and time, amplitude and space, energy and temperature, etc. Such relationships are expressed in the language of differential equations. In this course we will explore classical, qualitative, and numerical approaches to finding exact and approximate solutions of ordinary differential equations. Since the vast majority of ODEs in science and engineering are non-linear and do not possess classical (closed form analytical) solutions, qualitative and numerical methods are most often used in practice to analyze ODEs. In this honors course will will study qualitative methods of nonlinear ODEs in greater depth than in Math 2552, and be somewhat more rigorous in our study throughout the semester.

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Students with disabilities who require reasonable accommodations to participate fully in the course activities or meet course requirement are encouraged to register with the ADAPTS Disability services at 404.894.2564 or http://adapts.gatech.edu. Please contact me ahead of time to discuss any issues related to disabilities.

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Students with disabilities who require reasonable accommodations to participate fully in the course activities or meet course requirement are encouraged to register with the ADAPTS Disability services at 404.894.2564 or http://adapts.gatech.edu. Please contact me ahead of time to discuss any issues related to disabilities.

**Homework Exams Links Lecture Schedule**