Math 1A 2011-12

Weekly Calendar

The first two weeks will be a review of continuity and differentiability, with emphasis on the Intermediate Value Theorem and the Mean Value Theorem.
The next six weeks will cover the theory and practice of integration.
The last four weeks will cover applications of integration and differentiation.

The tutorial topics will be covered on Friday of the given week (T02) and Monday and Tuesday of the subsequent week (T01 and T03). Thus, in all cases, the tutorial will be at the end of the week. After Thanksgiving, the "week" will begin on Tuesday and end on the following Monday for Sections 01 and 02


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