Math 125 Fall '09 Course Homepage

Handouts

Office Hours: MWF 11:05 - 12:25 in ILB 426.

Section 104 course handout

Section 109 Course handout

Theory you should be able to recreate
Exam 5 will be on the material covered in weeks 12, 13 and 14.  The topics the exam will cover are: the fundamental theorem of calculus, differentiation (including the use of the new techniques covered), implicit differentiation, linear approximation, l'Hopital's rule and the definition of a limit. You should expect to be asked to recreate certain pieces of theory as discussed in class. This exam will be similar to the mock exams given out in class.
The makeup exam will cover the same material as exam 4. This material includes integration, rates of change, optimization and related rates. For this test you should work and understand the type of problems on homework 9, 10 and 11.
The final exam will be comprehensive. You should expect to be asked to recreate certain pieces of theory as discussed in class (see also the handout above). You can have a note card and your table of derivatives. As for revision, in addition to the homework problems, you should work through the six exam papers below.

Old exam papers

Old exam papers: Exam papers from Spring 2009 (note the coverage of last year's exams will differ from this year's): 1, 2, 3, 4, 5, final

Schedule

A very tentative course schedule can be found here. What really happened is below.

Week  Date Topic Notes
1 17 Aug Introduction
hw1 19 Aug guessing limits Rogawski Sec 2.2
hw1 sols 20 Aug guessing limits and asymptotes Rogawski Sec 2.2 & 4.5
21 Aug Limit laws Rogawski Sec 2.3
2 24 Aug Tutorial
hw2 26 Aug Finding limits algebraically Rogawski Sec 2.5
hw2 sols 27 Aug Trig review Rogawski Sec 1.4
28 Aug trig review and trig limits Rogawski Sec 1.4 & 2.6
3 31 Aug Tutorial
hw3 2 Sep functions review
 Rogawski Sec 1.5
hw3_sols 3 Sep inverse trig functions & continuous functions Rogawski Sec 1.5 and 2.4
4 Sep continuous functions Rogawski Sec  2.4
4 7 Sep Holiday
hw4 9 Sep Tutorial
hw4 sols 10 Sep Exam 1 (sols)
11 Sep IVT + Squeeze theorems Rogawski Sec  2.6 & 2.7
5 14 Sep Tutorial
hw5 16 Sep The derivative at a point Rogawski Sec  3.1
hw5 sols 17 Sep the derivative Rogawski Sec  3.2
18 Sep product and quotient rules (sols) Rogawski Sec  3.3
6 21 Sep The chain rule Rogawski Sec  3.7
hw6 23 Sep more on the chain rule (sols) Rogawski Sec  3.5 & 3.7
24 Sep Some theory about derivatives
25 Sep Some theory about derivatives
7 28 Sep Tutorial
hw7 30 Sep Exam 2
hw7 sols 1 Oct increasing and decreasing intervals Rogawski Sec  4.3
2 Oct maximum and minimum values Rogawski Sec  4.2
8 5 Oct maximum and minimum values Rogawski Sec  4.2
hw8 7 Oct second derivative test Rogawski Sec  4.4
8 Oct concavity and graph sketching Rogawski Sec  4.4 & 4.5
9 Oct graph sketching Rogawski Sec  4.5
9 12 Oct Tutorial
hw9 14 Oct Exam 3
hw9 sols 15 Oct rates of change Rogawski Sec  3.1 & 3.4
16 Oct rates of change Rogawski Sec  3.4
10 19 Oct related rates
 Rogawski Sec  3.11
hw10 21 Oct Rogawski Sec  3.11 Rogawski Sec  4.6
hw10_sol 22 Oct optimization Rogawski Sec  4.6
23 Oct optimization Rogawski Sec  4.6
11 26 Oct Summation notation
 Rogawski Sec  5.1
hw11 28 Oct The definite integral Rogawski Sec  5.2
hw11 sol 29 Oct The definite integral Rogawski Sec  5.2
30 Oct Fundamental theorem of calculus Pt 1 Rogawski Sec  5.3
12 2 Nov Tutorial 
hw12 4 Nov Exam 4
hw12 sols 5 Nov Fundamental theorem of calculus Pt 2 Rogawski Sec  5.4
6 Nov l'Hopital's Rogawski Sec  4.7
13 9 Nov trig derivatives and derivs of inverses Rogawski Sec  3.6 & 3.9
hw 13 11 Nov derivs of exp and log Rogawski Sec  3.10
hw13_sols 12 Nov implicit differentiation Rogawski Sec  3.8
13 Nov more on critical points Rogawski Sec  4.2
14 16 Nov more on critical points Rogawski Sec  4.3
hw 14 18 Nov Linear approximation Rogawski Sec  4.1
hw14 sols 19 Nov Definition of a limit Rogawski Sec  2.8
20 Nov Definition of a limit Rogawski Sec  2.8
15 23 Nov Exam 5
25 Nov Holiday
26 Nov Holiday
27 Nov Holiday
16 30 Nov exam 4  makeup