Maricopa Community Colleges  MAT274   19946-19965 
Official Course Description: MCCCD Approval: 04/26/94
MAT274 19946-19965 LEC 3 Credit(s) 3 Period(s)
Differential Equations
Ordinary differential equations with applications including LaPlace transforms with numerical methods. Prerequisites: Grade of "C", or better, in MAT224, or MAT231, or equivalent.
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MCCCD Official Course Competencies:
 
MAT274   19946-19965 Differential Equations
1. Solve ordinary differential equations, primarily of first or second order, using the following solution types: exact, implicit, series, or discrete approximations. (I-III)
2. Solve systems of ordinary linear differential equations of first or second order by differential operator, Laplace, or matrix methods. (IV)
3. Apply ordinary and systems of differential equations to solving applications. (V)
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MCCCD Official Course Outline:
 
MAT274   19946-19965 Differential Equations
    I. Exact methods of solution
        A. First order equations
          1. Separable
          2. Nonseparable exact
          3. Homogeneous
          4. Integrating factor techniques
          5. Linear coefficient functions
        B. Second order equations
          1. Homogeneous
          2. Nonhomogeneous
          3. Cauchy-Euler
      II. Power series methods
          A. Homogeneous
            1. Ordinary point solutions
            2. Regular singular point solutions (optional)
          B. Nonhomogeneous-Taylor series solutions (optional)
          C. Successive approximations (optional)
        III. Discrete approximations (optional)
            A. Euler and improved Euler
            B. Runge-Kutta
            C. Adams-Bashforth/Adams-Moulton
          IV. Systems of differential equations
              A. Laplace transform
              B. Differential operator method
              C. Matrix method (optional)
            V. Applications
                A. First order
                B. Second order
                C. Systems
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