Week |
Topic |
Work to do this week |
Remarks/ topic of Tuesday lecture |
Week 1 Jan 7 - 11 |
5.3, 5.4: definite integrals and
the fundamental theorem |
Assignment 10 |
Lectures this week given by Dr
Valeriote |
Week 2 Jan 14 - 18 |
5.5, 5.6 substitution and
integration by parts |
Assignment 11 Solutions 11 |
Quiz 6 on Tuesday at 13:30 |
Week 3 Jan 21 - 25 |
5.7 more techniques of
integration 5.10 improper integrals |
Assignment 11 Assignment 12 |
The problem of trisecting the angle |
Week 4 Jan 28 - Feb 1 |
6.1 area 7.1, 7.2 intro to differential equations, direction fields |
Assignment 12 Solutions 12 Assignment 13 |
Quiz 7 on Tuesday Jan 29 at
13:30 covers integration by parts, trig integrals, trig substitution
and partial fractions |
Week 5 Feb 4 - 8 |
7.3, 7.4 separable equations 7.5 models of population growth |
Assignment 13 Solutions 13 Assignment 14 |
Constructible numbers |
Week 6 Feb 11 - 15 |
7.6 predator-prey systems Appendix E summation notation and induction 8.1 sequences |
Assignment 14 Solutions 14 Assignment 15 |
Quiz 8 on Tuesday at 13:30
covers improper integrals, area, slope fields, euler's method and
separable differential equations |
Reading Week Feb 18 - 22 |
|||
Week 7 Feb 25 - Mar 1 |
8.2 series 8.3, 8.4 convergence tests |
Assignment 15 Solutions 15 Assignment 16 |
Some algebra of the constructible
numbers |
Week 8 Mar 4 - 8 |
8.5, 8.6 power series |
Assignment 16 Solutions 16 |
Midterm (in evening) on Tuesday Midterm
solutions |
Week 9 Mar 11 - 15 |
8.7, 8.8 Taylor series |
Assignment 17 Solutions 17 |
Angle trisection as an algebraic
problem and the angle \pi/3 cannot be trisected. |
Week 10 Mar 18 - 22 |
The material for the preceding 9
weeks will probably expand into this week. |
Quiz 9 on Tuesday at 13:30
covers sections 8.1, 8.2, 8.3 and the alternating series test from 8.4. |
|
Week 11 Mar 25 - 29 |
11.1, 11.2 functions of several
variables |
Assignment 18 | visit by Jim Stewart Easter Friday - no classes |
Week 12 Apr 1 - 5 | 11.3 partial derivatives |
Assignment 18 |
Quiz 10 on Tuesday at 13:30 for the record - covers 8.4, 8.5, 8.6, 8.7 |
Week 13 Apr 8 - 10 |
review |