Math 166: Calculus I

Dr Langford
Contact me:
e-mail:
laurel(dot)langford(at)uwrf(dot)edu
My schedule
My office phone number:
715-425-3119
Grading policies, etc
General syllabus
Useful Links

a graph

Class schedule (This will change as we go along--mostly by things taking longer than planned.  Don't take exam dates too seriously until they are a week away and I start announcing them in class)
Monday
Wednesday
Thursday
Friday


Sept 2
Introductory stuff.
Limits as a way of finding/describing the best answer you can get to a problem (such as 0/0) that doesn't directly have an answer.
Limits
HW: 2.2 # 1-4, 6-10, 13, 14, 19-24

Labor day
Sept 8
2.3: calculating limits using algebra
Assn: 2.3 # 11-19 odd, 25, 28, 101
3.1 Derivatives (slope of tangent lines) using limits
Assn
3.2: More derivatives using limits (emphasis on polynomials and fractions)
Assn: 3.2 # 17, 19, 20, 21, 24, 25
Sept 13
3.2 Still more derivatives using limits (emphasis on square roots)
Assn: 3.1 # 29, 30;
3.2 # 22, 23, 26
2.4: Proving limits
2.4 # 1-6, 12
Video of how to solve #4
Another gratuitous example
(FYI--if you are using a campus computer lab, you can check out headphones from the help desk)
2.5: Continuity
Assn: 2.5 # 3, 4, 15-20
Derivatives and physics
3.1 # 13-16
2.5 # 37-39
Sept 20
Visual derivative functions
3.2 # 3-7, 9

Problems to expect
Test 1
3.4 Derivatives of polynomials, etc. the short way. 
HW 3.3 # 1-5, 7-19
Sept 27
Sin and cos derivatives and the product rule
3.3 # 23-26, 39
3.4 # 1, 2, 5, 13
Extra problems 101-107
The quotient rule and the remaining trig functions
3.3 # 27-30
3.4 # 9-12, 17-19
Extra problems 110-112
the chain rule and tangent line equations
3.5 # 1-12, 51-53
Extra problems 120-122
Theory and mixed practice
3.5 # 17, 18, 19, 21, 23, 25, 27, 29, 31, 33, 37
Extra problems 130-134
Oct 4 Rates of change
3.7 # 1-3, 5, 6, 13, 15, 18
Extra problems 140-144
 3.6: Implicit derivatives
5, 7, 10, 11, 13, 17,
Extra probs 150-153
vid of 151, vid of 153
 class cancelled--I was sick.



3.8 Related rates
Worksheet probs: # 14-17, 19, 20
Extra probs 160-163
vid of 160, vid of 19
Oct 11 Yet more related rates
Worksheet probs: # 1-4,
Extra probs 170-174
Vid of 171, vid of 174, vid of 3
3.6: 25, 26, 27, (or 25, 27, 28)
Worksheet probs # 5, 6, 7, 9
Extra probs 180-183(Note: this link to the extra problems also includes all of the answers on the second page.
review
The test will have derivatives on them.  A lot of derivatives.  Some will require implicit differentiation.  Some will be word problems.  Some will be related rates problems.  One will probably ask you to prove the formula for tan, sec, cot or csc.  Practice taking derivatives.
Exam2: Derivatives(chapter 3)
Oct 18
4.1 critical numbers
# 29-39 odd, 40

4.3 inc/dec/concavity
#9, 12, 16, 29, 31
For each make a table that shows f', f'' sign chart and a sketch of the graph.
vid of polynomial, vid of rational function
Max&Min&graphing
Sorry I'm late getting these out. 
Here's #13 part 1, part 2
#14  part 1, part 2, part 3
I think this is #401 part 1, part 2 (There's an error in this one)
the other assigned problems were 4.3 # 37, 39
More max mins including absolute max and min
The problems
Oct 25
4.4 Infinite limits and horizontal asymptotes
#7-17 odd, 16, 18
4.4 More infinite limits and graphing
4.4 # 19, 20, 43, 45,
4.5 # 11, 17
today's vid walkthrough: #17
4.7 Min/max problems5, 6, 9, 11, 13, 14, 15
vids of 9 and 14
4.7 More min/max problems
31, 32, 47.   Vid of 48 with lots of hints for how to do 47.
Nov 1
Graph sketching from givens
4.4 # 5, 21-23
4.5 # 51-53
Do all graphing steps for 4.5 # 28
vid help for 28

Exam 3, part 1
Review problems to practice for Thursday
Solutions to review problems
Exam 3:
Review problems to practice for Friday
Solutions
Nov 8
4.10
5.1 # 1, 3, 5, 11 5.2 # 22, 23
5.3# 7-17 odd
Nov 15
5.3  21-33 odd
5.2 # 35-37
5.4 # 9-15 odd, 23-35 odd
5.5 # 35, 37, 38, 39, 43, 45, 49
5.5 # 7-17 odd
7, 9, 11, 13, 15, 17, 21, 28, 29, 47
New and improved! (11/20)
Nov 22
5.5 # 28, 29, 30, 47, 48
Practice integration # 481-484
New and improved! (11/20)
5.5 # 19, 20, 23, 24, 25, 26, 27
Practice integration # 491-494
New and improved! (11/20)
*If you can figure these out and have it all done and turned in before Weds, you don't have to come to class.
Thanksgiving
Thanksgiving
Nov 29
6.1 # areas between curves
homework 6.1 # 5, 8, 9, 12, 16, 18, 23, 24
Practice integration # 501-509
Note that the Practice integration file includes worked solutions to 501-508
6.2 volume
6.2 #1-5 and practice integration # 511-518
6.3 volume
6.2 # 7, 9, 11
6.3 # 3, 5, 9, 11
integration practice # 521-528
6.5 Average value of a function
integration practice # 531-538
6.2 # 15, 27, 29
6.3 # 4, 6, 10, 12
6.5 # 1, 5, 7, 11a
Dec 6 Work
6.4 # 1, 3, 7, 8
Linear approximations and differentials and Newton's method
3.9 # 1, 3, 19, 21
4.8 # 5, 7 (due Friday)
Max/min probs revisisted.  Problems to do to make up test points here
Second derivative test: For the problems 4.3 # 29, 30, 31, 39
  • find the critical numbers
  • use the second derivative test on each
  • tell what the second derivative test says (max/min/don't know)
Average value of a function
Dec 13  review.



Dec 20 final exam 10:15-12:15