# MATH 3D Elementary Differential Equations (2015-2016)

#### MATH 3D Elementary Differential Equations

**MATH 3D Elementary Differential Equations (Credit Units: 4)** Linear differential equations, variation of parameters, constant coefficient cookbook, systems of equations, Laplace transforms, series solutions. Prerequisite: MATH 2D and MATH 3A. School of Physical Sciences and School of Engineering majors have first consideration for enrollment. (Design units: 0)

Required-free online Differential Equations text by Jiri Lebl at http://www.jirka.org/diffyqs/

- Introduction to Differential Equations
- Integrals as Solutions, Slope Fields
- Separable Equations
- Linear Equations and Integrating Factors
- Substitution
- Autonomous Equations
- Second Order Linear ODEs
- Constant Coefficient Second Order Linear ODEs
- Higher Order Linear ODEs
- Nonhomogeneous Equations
- Mechanical Vibrations,Forced Oscillations and Resonance
- Systems of ODEs, Matrices and Linear Systems
- Linear Systems of ODEs
- Eigenvalue Method, Multiple Eigenvalues
- Matrix Exponential
- Nonhomogeneous Systems
- Laplace Transform
- Transform of Derivatives and ODEs
- Dirac Delta Functions and Laplace Transform
- Convolution
- Power Series
- Series Solutions of Linear Second Order ODEs
- Series Solutions about Singular Points

Meets for 3 hours of lecture and 2 hours of discussion each week for 10 weeks.

- Option 1:
- Final: 50%
- Midterm: 25%
Quizzes/Homework: 25%

Option 2:

- Homework: 10%
- Quizzes: 10%
- Midterms: 40%
- Final: 40%

Mathematics and Basic Science: 0.0 credit units

Computing: 0.0 credit units

Engineering Topics: 0.0 credit units

Engineering Science: 0.0 credit units

Engineering Design: 0.0 credit units