Math 166: Calculus 1

E-mail your instructor: laurel.langford@uwrf.edu
Office hours: 10:00-11:30 MWF, NH 206F
Syllabus

Schedule and assignments

  Monday Wednesday Thursday Friday
Sept 5  

Change of plan!
Graphing rational functions by understanding how factors relate to roots and vertical asymptotes.
Assignment
Written example
Video example

Introduction to differential calculus
Assn 1
Review: graphing piecewise functions. Good videos: patrickJMT; Lutemann
Do: pg 22 # 41, 43, 44

 Limits of functions (sec 2.2)
Pg 75 # 4-8, 12-16, 25, 26
Sept 12 The algebra of limits (sec 2.3)
Pg. 84 # 10-24, 48

Finding derivatives using limits I (sec. 3.1)
Pg. 119-121 # 3a(ii), b, 4a(ii),b, 6, 9, 25
Review: simplify complex fractions. Watch these examples: vid 1, vid 2, and do problems:
pg. 85 # 25, 28

 Finding derivatives using limits II
Do these problems.		 Finding derivatives using limits III
Sec 3.1 (pg 120) # 5, 7, 14ab, 15, 27, 28, 30
Notes from class
Sept 19 Theory of limits I: continuity (sec. 2.5)
pgs. 105-107 # 3, 4, 15-20, 37-39, 41		 Misc: Binomial theorem and the Squeeze theorem.
sec. 2.3 # 33, 35, 36, 37
Expand these using the binomial thm.: (a+h)4; (x+2)3
review sheet (not turned in)
 Review Exam 1
Sept 26 2.4 (pg 96)# 15, 16, 17, 20 Derivative rules #1--the easy parts.
section 3.3 # 1-19		 Derivative rules #2--trig functions and the product rule.
3.4 (pg 154) # 1-8, 14, 15, 21		 Derivative rules #3--trig functions and the quotient rule.
3.3 # 27, 29, 30, 31, 34, 53, 55
3.4 # 9-12, 16, 17-19, 23
Oct 3 Derivative rules #4--the chain rule
3.5 # 1-6, 7, 9, 11, 12, 13, 15, 22, 24, 33, 51 and these problems
 Derivative rules #5--harder chain rule problems.
3.5 # 17-20, 21, 23, 25-27, 29, 32, 34, 37, 39, 40, 41, 44, 46		 Second derivatives and more quiz practice
3.5 # 47-50, 54
Quiz practice		 3.7 # 1-4 parts 1-g, 5-9. Hint for 9b: first find the time when the ball is at height 25m.
Oct 10 Quiz in class
3.6 # 5-10, 25		 3.6 & 7
3.6 # 11-14, 26, 27
3.7 # 10, 1, 12a, 13b&c, 14, 15, 16b

3.8
Do problems 1-9 on this sheet
Check your answers

 3.8 Do problems 14-19 on the same sheet
Check your answers
Oct 17 3.9 # 1, 3, 15, 17, 31, 33
review sheet		 review
solutions		 exam 4.3# 1&2 parts a, b, and tell the coordinates of the local maxima and minima, 5, 6
3.2 # 1-4
Oct 24 For each function, a) find intervals where increasing and decreasing and b) find local max and min. 4.3 # 9, 11, 13, 14; 4.1 # 41 and these 4 probs (file contains solutions of 1&3) 4.1 # 45, 47, 49, 51, 55, 56   4.3 # 9, 11, 13, 14 part c.
Oct 31 4.4 # 9-17 odd, 16, 18 4.4 # 19, 20; 4.5 # 13 4.5 # 28, 17, 3 4.3 # 39; 4.5 # 23, 35
Nov 7 4.7 # 9-15. Vid of 9, vid of 14 As per your request here are some more problems and the solutions Exam 3a Exam 3b
Nov 14 4.9 (pg. 279) 1-17 odd, 21, 27, 29, 33-39 odd. Using the infinite Riemann sum strategy find the area between y=9-x^2 and the x-axis on the interval [0,3] 5.1 #3, 5.2 # 22 5.3 # 7-17 odd
Nov 21 5.3 # 19-35 odd, 37 Happy Thanks- giving
Nov 28 5.4 # 5-13 odd, 19, 23-39 odd 5.5 # 7-17 odd, 21 5.5 # 19, 20, 23, 25, 27, 29, 30 5.5 # 35-40, 45, 47, 48
Dec 5 6.1 # 1, 5, 7, 13
Quiz practice here		 6.1 # 3, 9, 11, 17, 19, 23 6.2 # 3, 5, 7, 9, 27, 28 Integral quiz
Dec 12      

Final exam review and solutions
I have also put the previous tests in the content section of the D2L website, but it might be a better idea to practice with the previous review sheets, since you have solutions to 2 of those.
Please e-mail me if you find errors in the solutions

Dec 19   Dec 21 3:30 final exam