Math 205

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Effective Spring 2014
MATH 205-<section #> Applied Calculus II
<Quarter, Year>
<Days, Time, Location>
Instructor:
Office hours: <office hours and location>
Tutorial center hours: <tutorial center hours and location>
Office phone: <only if you have an actual office>
Tutorial center phone: 323-343-5374
Email:
Final Exam: <date, time, location>
Text: Mathematics for the Life Sciences – A Modeling Approach
Volume II Integral Calculus and Differential Equations (ISBN13: 978-1-269-52946-4)
The text is a custom edition and is available at the bookstore and the Bookmart.
Math 205 Prerequisites: Math 204 with minimum grade of C.
Math 205 Catalog course description: Integration methods, definite and indefinite integrals,
numerical, graphical and exact methods for solving basic differential equations, analysis of
stability of equilibria of systems, with a focus on applications in biology.
Topical outline:
Examples of differential equations (DEs) and use of Euler’s method, solving pure-time DEs, methods of
integration (special functions, substitution, by parts), use of sums to approximate integrals, definite and
indefinite integrals, applications of integrals, improper integrals, examples of important DEs, equilibria
and graphical display of DEs, stable and unstable equilibria, solving autonomous DEs, two-dimensional
DEs, Phase plane, solutions in the phase plane, modeling application.
Student learning outcomes: Upon completion of this course, students will be:
1. able to determine which method to apply to solve an integration problem
2. able to understand the derivation of the integral as a limit of Riemann sums
3. able to use integration to solve problems involving area, average, and mass
4. able to compute equilibria for models and determine their stability with appropriate methods
5. familiar with basic terminology of differential equations
6. able to solve an autonomous differential equation
7. able to use graphical and numerical methods to solve more complicated differential equations
8. familiar with some classic difference and differential equation models
Grading system: <indicate your grading system>
Last updated 3/27/14
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Effective Spring 2014
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Last updated 3/27/14
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