**Differential Equations**: Order, initial conditions,
general solutions/family of solutions, equilibrium points/solutions.

** **

**Method of Differential Equations**: Slope fields(graphical),
Euler’s method (numerical), separation of variables (analytical)

** **

**Modeling**: Growth and decay, Newton’s law of heating
and cooling, flow rate/mixing problems.

** **

**Vectors**: Definition, direction, length or magnitude,
unit vector, geometric definition of vector addition, subtraction, scalar
multiplication, resolving into *i*, *j*, *k* components.

**Dot Product**: Geometric definition, algebraic
definition in terms of *i*, *j*,
*k* components, using dot product to find angles, determine
perpendicularity, the equation of a plane with normal vector passing through a
given point, projection of a vector along any given vector.

**Cross Product**: Geometric definition, algebraic definition
in terms of *i*, *j*, *k*
components, use cross product to find area of triangles, parallelograms, use
cross product to find normal vectors of planes.

**Partial Review Problems**: All homework, quiz, lecture
example problems. **Page 558**: 1, 5, 9,21, 29,30,31,35, **Page 528**:
11, 15,17.

**Page 649**: 1,3,4,5,7,9,13,14,15,16,17,18,19,27,28.