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.