### ALA-B, 2005, week 2

Home, w 1, w 2, w 3, w 4, w 5, w 6, w 7. Matlab: analysis, linear algebra, facit.

Goal: Understand the construction and the basic properties of the functions log, exp, sin, cos and friends. Numerical quadrature.

basic: Ch 29, 30.1-30.3, 31, 32
advanced: 30.4, the proof in 31.2

Exercise 2.1:
basic: 29.1 (hint: use the right endpoint rectangle rule), 29.2, 29.6, 29.7, 29.11, 29.12, 30.1
advanced: 29.3, 29.5, 29.9, 30.4, 30.6
demo: 29.4, 29.11b, 29.12b

Exercise 2.2:
basic: 31.6, 31.8, 31.9, 31.10, 31.11, 31.12, 31.16, 31.19
advanced: 31.2, 31.3, 31.4, 31.5, 31.13, 31.14, 31.15, 31.17, 31.18
demo: 31.10a, 31.11a, 31.12a
Corrections to the answers for Ch 31.

Lecture 2.1: Numerical quadrature. The logarithm. The exponential function. Lecture 2.1

Studio 2.1: The integral.

Lecture 2.2: The exponential function. Lecture 2.2

Studio 2.2: How small is the error? (Numerical quadrature.)

Lecture 2.3: The trigonometric functions.

Studio 2.3: The Exponential Function

/stig