Everything:

- §5.1: 19, 30
- §5.2: 7, 23, 27, 53, 65, 71, 72, 73
- Problems Plus, Chapter 5 (p. 420): 11(a) (see Example 10 on p. 105; draw pictures for
*n*= 1, 2, and 3)

## 1 Riemann Sums and Definite Integral (Sec 5.1-5.2)

### 1.1 The geometric interpretations of Riemann sums and definite integrals

Sec 5.2, Q5, 7

### 1.2 Applying definitions and summation algebra

Sec 5.1, Q29; Sec 5.2, Q23, 25, 27, 29

### 1.3 Reversing a Riemann sum back to a definite integral

Sec 5.1, Q22, 23, Sec 5.2, Q19, 71,72

### 1.4 Linearity, algebraic rules and inequalities

Sec 5.2, Q53, 61, 65

### 1.5 Proofs and special examples

Sec 5.2, Q67, 69-70, 73

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