Review for MIDTERM EXAM I (Friday- September 30).

CHAPTER 2 Differential Equations. Sections 2.2, 2.3, 2.4
-First Order Linear Equations 
-Bernoulli's equation (Section 2.2 Exercise #9) 
-Applications: Radioactivity decay; Mixing problem. 
-Separation of Variables  Method. 

Review problems:
2.2 # 2a-f, 5, 9, 10
2.3 # 6, 7, 10
2.4 # 1a-d, i-n, 6, 7

CHAPTER 8 Linear Systems: Gauss Elimination. Section 8.3
-(REF)  and Gauss Elimination Method 
-(RREF) and Gauss- Jordan Method
Review problems:
8.3 # 1, 2. 

CHAPTER 9  Vector Space. Sections: 9.2-9.5
-Geometrical representation
-Angle, Dot product
- n-Space
- Dot (inner)  product   norm and angle  properties in n-Spaces. 
- Cauchy-Schwarz inequality
- Orthogonal and  Orthonormal sets. 
Review problems:
9.2 # 1, 2, 9
9.3 # 1, 3, 5, 6
9.4 # 2a, 2b
9.5 # 1ab, 7, 8, 9ab, 14.