Math 1080
Spring 1999

HOMEWORK ASSIGNMENTS

Homework is collected on Fridays, after having been
assigned on the preceding FMW.  Problems may be assigned
from the text ``Calculus Made Easy,'' from the blackboard, 
or from handouts.

HW due April 23
(A) Problems from handout of Monday, April 19:
  (1) Differentiate various functions involving sin and cos.
  (2) Verify addition angle formulas for sin and cos for
     some decimal values
  (3) Plot some basic angles (natural fractions of 1 complete
     revolution = 2*Pi radians).
  (4) Find the sines and cosines of some of these natural
    angles from (3).
(B) Problems from handout of Wednesday April 21.

HW due April 16
(A) Problems from handout of Friday April 9 (discussed in class
    on Monday April 12th): solve problems
    about exponential decay and exponential growth, geometrically
    (from graphs) and analytically (with your calculator).
(B) Do two carbon-dating problems and one exponential growth problem,
    from Varberg-Purcell xerox, handed out April 14.  
  

No HW due on April 9 (midterm exam week)

HW due April 2 (Was actually collected April 5th)
(A) Problems assigned from handout Friday March 26:
  (1) Verify ln properties on your calculuator, with 4 examples
  (2) Compute derivative of three functions made out of ln.
  (3) Antidifferentiate two functions via substitution and ln.
  (4) Solve three equations using exp and ln.
(B)  Do a least squares fit of the data collected Monday March 29
  in the physics lab, to verify the constant acceleration hypotheses
  and estimate the acceleration ``g'' of gravity.


HW due March 26
(A) Bring in at least 5 pairs of human height-weight data
  for our study of a possible power law relating them...
  and the possible degree of validity of the body-mass index.
(B) One homework problem assigned Wed March 24th, to do a
  least squares line fit for four points.


HW due March 12
(A) The reading assignment from last week
(B) 4 integration exercises from Fri March 5 notes
(C) 4 exercises assigned on Monday March 8. (The first
   one was modified on Wednesday.)
(D) An additional exercise assigned on Wednesday: use
   first and second derivative information to graph the 
   function y=2*x^3 -3*x^2 -12*x.

HW due March 5
(A) Read text, pages 116-131
(B) 7 exercises from first Maple Project...the project
   is available at the web address
   http://www.math.utah.edu/~korevaar/1080proj1.txt, or click
   on the appropriate spot of my home page.  NOTE ADDED:
   THIS HOMEWORK IS NOW DUE ON MARCH 8, MONDAY.

HW due Feb 26
(A) seven exercises about antidifferentiation,
  from the handout of Friday Feb 19.
(B) three more exercises about antidifferentiation,
  from the handout of Wednesday Feb 24.
(C) Read pages 191-226 of the text.

HW due Feb 19
(A) Read pages 94-102
(B) problems page 100 #1,3,7
    problems page 101-2 #1,2,3

EXAM ON WEDNESDAY FEB 17
(Class meets Tuesday Feb 16!)

HW due Feb 12
(A) Read pages 79-93
(B) problems page 77 #4,5,6,7,8
(C) Find the derivatives of the following functions:
  C1) f(x)= (sqrt(x))(x^2 + 2x)  (sqrt is short for square root)
  C2) g(x)= sqrt(x)/(x^3 + 1)
  C3) h(x)= (x^2 + 3x + 1/x)(x^3 +2)
(D) problems page 92-93 #2,4,9

HW due Feb 5
(A) Read pages 59-78
(B) problems page 64 #1,2,6; page 76 #1
(C) 3 HW problems on page 3 of Friday Jan 29 handout: 
  C1) Use the x, x+dx method to calculate the derivative
     function for y=x^2 + 4x.
  C2) Complete a table of values for y and dy/dx at x-values
     of -4,-3,-2,-1,0,1.
  C3) At the appropriate points on the plot of y=x^2 +4x
     draw tangent lines with slopes predicted by your table in C2.
(D) Compute first and second derivatives of the following functions:
  D1) f(t) = 3t^2 + 6t
  D2) g(x) = x^3 -7/(x^2)

HW due Jan 29
(A) Read pages 38-58
(B) 2 problems from Monday Jan 25 handout:
  B1) What is the predicted population of the earth in 2020?  How
    fast is the population predicted to be growing then?
  B2) Answer the same questions for the year 2060.  Is the predicted
    population growth rate then larger or smaller in 2060 vs. 2020?
(C) problems page 58 #1,2,5,9,10

HW due Jan 22
(A) 3 HW problems from Wednesday Jan 20 handout:
  A1) Find the tangent line to the graph of the area function
     A=x^2, at the point with x=10, and estimate its slope.
  A2) Use the algebraic method to find the slope of the secant
     line through the points on the graph with x=10 and x=11.
  A3)  Use the algebraic method to compute the secant-line slopes
     for points with x-values 10 and 10+dx.  Simplify your expression
     and let dx -> 0.  What answer do you get? How does it compare
     to your answers to A1 and A2?
  A4) (Done in class Jan 22) Repeat the work of A3, except for points
     with horizontal coordinates x and x+dx.


HW due Jan 15
(A) Make a list of 5 functions which are used in everyday life