MATH1012 Summer 2017/18

Unit plan

Date	Workshop	Topics	Lecturettes	Unit reader
4/12	1	Systems of linear equations, solution by gaussian elimination	1.1-1.6	Chapter 1
6/12	2	Vector spaces, subspaces, spans	2.1-2.4	2.1-2.3
8/12	3	spanning sets, linear independence, basis and dimension	2.5-2.9	2.3-2.5
11/12	4	subspaces from matrices, rank and nullity	3.1-3.3	3.1-3.3
13/12	5	matrix inverses, invertibility and determinants	3.4-3.8	3.5,3.6
15/12	6	linear transformations, matrix representations	4.1-4.4	4.1-4.6
18/12	7	eigenvectors, eigenvalues, diagonalisation	5.1-5.4	Chapter 5
20/12	8	improper integrals	6.1,6.2	Chapter 7
22/12		Mid-summester test (30%)
		Christmas/New year
5/1		Census and Academic withdrawal
8/1	9	probability models, random variables	7.1-7.4	8.1,8.2
10/11	10	statistical inference, estimation, hypothesis testing	7.5-7.8	8.3
12/1	11	sequences and limits, series, test for divergence	8.1-8.5	9.1, 9.2
15/1	12	integral test, alternating series test, ratio test, power series	8.6-8.9	9.3-9.7
17/1	13	Fourier series, coefficients, convergence	9.1,9.2	10.1-10.4
19/1	14	Even and odd functions, half range expansions, Parseval’s theorem	9.3	10.5-10.9
22/1	15	Laplace transforms, inverse laplace transforms	10.1-10.3	11.1,11.2
24/1	16	Solving differential equations, shift theorems and Heaviside	10.4-10.7	11.3-11.5
26/1		Australia day - no classes
5/2-9/2		Examination period