Week 
Topic 
Remarks 
Tutorial 
Week 0 Sept 8  9 
Introduction 
Take the diagnostic test this
weekend; review your weak points in the Math Review Manual (note
that you are now expected to know chapter 8). 
Introduction to WebAssign
(optional) 
Week 1 Sept 12  16 
Continuity, the IVT, root
finding, derivative as slope. Stewart: 2.5, 2.8 
Diagnostic test due Tuesday 13
September. 
Verifying continuity, using IVT. 
Week 2 Sept 19  23 
MVT, Newton's method Stewart: 4.2, 4.8 
Homework for Week 1 due Tuesday
20 September. 
Newton's method. 
Week 3 Sept 26  30 
Review of techniques of
differentiation, with proofs Stewart: 3.1, 3.2, 3.3, 3.4, (3.5) 
Homework for Week 2 due Tuesday 27 September.  Writing a complete solution: IVT
and MVT. 
Week 4 Oct 3  7 
Concept of the integral Stewart: 5.1, 5.2, 5.3 
Homework for Week 3 due Tuesday
4 October. Written homework 1 due Wednesday 5 October by 5pm. 
Review for midterm. 
Week 5 Oct 10  14 
Antiderivatives, integration by
substitution Stewart: 5.4, 5.5 
Homework for Week 4 due Tuesday
11 October. Midterm 1 Thursday October 13 
examples  integration by
substitution 
Week 6 Oct 17  21 
Integration by parts,
trigonometric integrals Stewart: 7.1, 7.2 
Homework for Week 5 due Tuesday 18 October.  examples  integration by parts 
Week 7 Oct 24  28 
Trig substitution, partial
fractions Stewart: 7.3, 7.4 
Homework for Week 6 due Tuesday 25 October.  examples  trig and partial
fractions 
Week 8 Oct 31  Nov 4 
Integration strategies/numerical
integration Stewart: 7.5, 7.7 
Homework for Week 7 due Tuesday 1 November.  examples  finding the right
strategy 
Week 9 Nov 7  11 
Applications of differentiation:
shape of a curve, L'Hopital's rule Stewart: 4.1, 4.3, 4.4, 4.5 
Homework for Week 8 due Tuesday
8 November. Written homework 2 due Wednesday 9 November by 5pm. 
Review for midterm. 
Week 10 Nov 14  18 
Applications of differentiation:
optimisation Stewart: 4.7 
Midterm 2 Thursday November 17 
curve sketching 
Week 11 Nov 21  25 
Applications of integration:
area/arc length Stewart: 6.1, 8.1 
optimisation problems 

Week 12 Nov 28  Dec 2 
Applications of integration:
volumes Stewart: 6.2, 6.3 
volumes 