Julian West, instructor
office 360-331
office telephone x2313
home telephone 245-5406 (billi-0-n)
e-mail westj@mala.bc.ca

Math 121 course outline Spring 2003

text: Larson, Hostetler, Edwards: Calculus (of a single variable), seventh edition

section 1: Mondays, 8:30-9:30 (370-217), Tuesdays and Thursdays, 13:00-14:30 (370-217) section 2: Mondays, 9:30-10:30 (370-217) Tuesdays and Thursdays, 11:30-13:00 (360-323) office hours: Mondays, 10:45-11:45, Thursdays 2:30-3:30
In this course we learn about limit processes, the major idea underpinning the calculus. We then use the idea of a limit to develop the operation of differentiation, and its opposite, antidifferentiation. This takes us through chapters 1,2 and 3 and half of chapter 4.
There are 8 1/2 homework assigments, worth 15% in total. They are due at the beginning of class on the indicated days. At the end of these classes, solution sets will be distributed and no further assignments will be accepted for marks, though if you turn them in, they may be evaluated. Your lowest homework score will be dropped, so you can miss one without penalty. The three midterms are worth 15% each, and the final worth 40%. Additionally, your lowest midterm mark will be replaced by your mark on the final, if this is advantageous to you. Note that this again means that you can miss one midterm without penalty.
If you know in advance that you will be absent on the day of a midterm and want to make alternate arrangements, see me as early as possible. Arrangements will not be made for students missing exams without notice.
Please feel free to ask questions in class and at office hours. 
Homework assignments (with due dates).

#1:    1.2: 10,12,15,16                  1.3: 14,20,22,34,36,38,40,105    (Tues, 18 Jan.)
#2:    1.3: 56,58,62,70,72,74,76,77,123  1.4: 8,10,18,38,40,50,59,64      (Tues, 25 Jan.)
#3:    1.5: 18,24,28,29,31,32,44,49      2.1: 4,18,26,48,86               (Mon., 31 Jan.)
#4:    2.2: 18,28,34,44,48,88            2.3: 26,28,30,36,38,42,44,58,70,86,88 (  8 Feb.)
#5:    2.4: 64,66,104                    2.5: 6,29                        (Thur, 17 Feb.)
#6:    3.1: 14,16,24,38,42               3.2: 14,23,33,38                 (Mon.,  7 March)
#7:    3.3: 14,22,26,54                  3.4: 32,40,54                    (Mon., 21 March)
#8:    3.5: 26,32,40,42,44               4.1: 28,32,33,38,42,60           (Tues, 29 March)
#8-1/2:4.2: 32,48                        4.3: 18,24,30,53,54              (Thur,  7 April)
Note. In the first few lectures we will spend some time on material in the "preliminary" chapter P. Some of the material in chapter P and all of the material in appendix D should be familiar to you from courses you took to prepare yourself for calculus. (Appendix D is on the WWW.) If there is material there with which you are not immediately comfortable, it is a very good idea to catch up. No homework is assigned in the first week to give you a bit more time to do this. For instance, do you immediately know the sine, cosine and tangent of π/3
Here is the planned syllabus. (An h indicates days when homework is due.) 
Tuesday 4 January:       
Thursday 6 January:      1.1  a preview of calculus

Monday 10 January:       1.2  finding limits graphically
Tuesday 11 January:      1.2/1.3  ... and numerically
Thursday 13 January:     1.3  ... analytically
       
Monday 17 January:       1.4  continuity and one-sided limits
Tuesday 18 January:    h 1.5  infinite limits
Thursday 19 January:     1.5  infinite limits
       
Monday 24 January:       2.1  the deriviative
Tuesday 25 January:    h 2.2  basic differentiation rules
Thursday 27 January:     2.2  rates of change
     
Monday 31 January:     h 2.2  the product rule
Tuesday 1 February:        FIRST MIDTERM
Thursday 3 February:     2.3  the quotient rule 
       
Monday 7 February:       2.4  the chain rule
Tuesday 8 February:    h 2.4  the chain rule
Thursday 10 February:    2.5  implicit differentiation
       
Monday 14 February:      2.5  implicit differentiation
Tuesday 15 February:     2.6  related rates      
Thursday 17 February:  h 2.6  related rates  


       
Monday 28 February:      3.1  extrema
Tuesday 1 March:         3.2  Rolle's Theorem
Thursday 3 March:        3.3  the FDT 
       
Monday 7 March:        h
Tuesday 8 March:           SECOND MIDTERM
Thursday 10 March:     
       
Monday 14 March:         3.4  concavity
Tuesday 15 March:        3.4  the SDT
Thursday 17 March:       3.5  limits at infinity 
       
Monday 21 March:       h 4.1  antiderivatives
Tuesday 22 March:        4.1  indefinite integration
Thursday 24 March:       4.2  area under a curve

Tuesday 29 March:      h 4.3  definite integrals
Thursday 31 March:        THIRD MIDTERM  
       
Monday 4 April:          4.3  definite integrals
Tuesday 5 April:         4.4  the FTC
Thursday 7 April:      h 4.4  the FTC  

Monday 11 April: