Week	Lecture Topics	Reading (3rd ed. of Calculus)
Week 1	Parameterisation of curves; time as a variable	Ch. 11.5
	2-d and 3-d curves and surface intersection	Ch. 11.7 Ch. 11.9
	Curves as vectors: motion; velocity; acceleration
Week 2	Motion in a circle; arc length; line integrals	Ch. 11
	Rules for vector calculus: derivatives; integrals Line integrals and applications: magnetic fields	Ch. 14.2
Week 3	Functions of several variables: examples	Ch. 12.1
	Cartesian coordinates: distance; graphs and surfaces Surfaces and examples; contour diagrams	Ch. 11.6
Week 4	Contour diagrams and linear functions	Ch. 12.2
	Functions of 3 variables and level surfaces	Ch. 11.6
	Continuity
Week 5	Partial derivatives and surfaces	Ch. 12.3
	Computing and interpreting partial derivatives	Ch. 12.4
	Differentiability and tangent plane
Week 6	Gradients and directional derivatives   Chain rule; 2nd order partial derivatives; Conservative fields	Ch. 12.5   Ch. 12.6 Ch. 14.3
Week 7	Second order Taylor Series, local extrema
	Classification of local extrema	Ch. 12.7
	Review for mid-semester exam ( Wednesday- Anzac Day holiday )
Week 8	Global extrema	Ch. 12.7
	Lagrange multipliers examples	Ch. 12.8
Week 9	simple diff. equations: motion of projectiles	Ch. 11.9
	differential equations: definitions and slope fields	Ch. 15
	( Monday- Labour Day holiday )
Week 10	numerical example: Euler's method separable equations: first order linear and nonlinear Solution by integrating factor	Ch. 15
Week 11	first order equations and applications	Ch. 15
	second-order differential equations: constant coeff.
	simple harmonic motion
Week 12	examples: damped oscillations
	particular solutions to second-order equations
	examples of forced oscillations	Ch. 15
Week 13	systems of first-order differential equations
	review and examples