MATH1011 Summer 2017/18

Unit plan

Date	Workshop	Content	Lecturettes	Unit reader
4/12	1	\(\mathbb{R}^n\), multivariable and vector valued functions, visualisations	1.1-1.4	Chapter 1
6/12	2	Limits of functions of one variable, vector valued functions, and functions of two variables, continuity	2.1-2.7	Chapter 2
8/12	3	Differentiation of functions of one variable, L’hospital’s rule, inverse functions	3.1-3.3	3.1-3.3
11/12	4	Differentiation of vector valued functions, motion in space	3.4, 3.6	3.4, 3.6
13/12	5	Partial derivatives tangent vectors, tangent planes	3.6-3.10	3.6, 3.7
15/12	6	Chain rule for partial derivatives, directional derivatives, differentiability of multivariable functions, Jacobian matrix	3.11-3.14	3.7-3.10
18/12	7	Extrema of multivariable functions	4.1-4.5	Chapter 4
20/12	8	Integration by substitution, partial fractions, and parts	5.1,5.2,5.4,5.5	6.2 excluding 6.2.3
22/12		Mid-summester test (30%)
		Christmas/New year
5/1		Census and Academic withdrawal
8/1	9	Riemann sums and integrals with applications	5.6, 5.7	6.3, 6.5
10/1	10	Double integrals	6.1-6.3	7.1
12/1	11	Triple integrals, centre of mass	6.4-6.6	7.2,7.3
15/1	12	Change of coordinates in double and triple integrals, polar, cylindrical and spherical coordinates	7.1,7.2	Chapter 8
17/1	13	Path and surface integrals of functions	8.1-8.3	Chapter 9
19/1	14	Path and surface integrals of vector fields	8.4	10.1,10.3
22/1	15	Differential equations, solutions and applications, first order ODE solution techniques	9.1-9.3	12.1-12.3
24/1	16	Solution techniques for linear second order ODE	9.4-9.6	12.4-12.7
26/1		Australia Day, no classes
5/2-9/2		Examination period