MTH 235 Calculus III Calendar Semester 061

Maple labs will be assigned normally each week during the lab class.  Students may purchase their own copy of Maple 10 if they have their own computer at a special discount price.  Go to the Maple web site:  http://www.maplesoft.com/academic/adoptioncenter/adoptioncenter_coursedetail.aspx?EID=1510  and use the Maple adoption code 

AP15104U


Write out complete answers NEATLY and CLEARLY.

For written problem assignments:

Number each exercise to the left.
Work only one problem across the page -- i.e. problems should proceed form top to bottom.
You must show your work! Correct mathematical notation must be used.  Partial credit is given when work is shown even if answer is incorrect. However, correct answers without any work shown will in general be given no credit.
If the problem is a computation leading to a final answer, box the answer.
Use pencil and eraser  -- do not scratch out work.

Start homework early and see me for help with problems you don't know how to work! It is inappropriate to ask how to do a problem in class the day it is due!!!! Staple your pages together before submitting.  My office is Core 257-- See my schedule for office hours or call or send email for an appointment. I am always delighted to help.

 

Date

Exams or Quizzes

Reading Assignments

Written Problem Assignments

Wed.
 8/23

 

Section 9.1:  Know definition and notations for an infinite sequence, limit of a sequence, and determining convergence or divergence of a sequence, including L'Hopital's rule. the Squeeze Theorem, and the Absolute value Theorem.   Understand monotonic sequences, bounded sequences, and Theorem 8.5.

 

Fri.
8/25

 

Section 9.2:  Understand the definition of an infinite series, convergent and divergent series, criteria for convergence/divergence of a geometric series, and the n'th term test for divergence.

Section 9.1: 2, 8, 12, 32, 33, 36

Mon.
8/28

 

 

Section 9.1: 48, 49, 50, 62, 67, 73, 74, 84, 86, 90, 94, 109, 110

Wed.
8/30

 

Section 9.3:  Use the Integral Test to determine convergence / divergence.  Know when p-series converges/diverges.
Know what harmonic series is.

 

Fri.
10/01

Quiz

 

Section 9.2: 2, 3, 7, 8, 12, 17 thru 22, 35, 36, 40, 41, 62, 62, 70, 72, 103, 108, 132

Wed
9/06

 

Section 9.4:  Know how to apply the Direct Comparison Test and the Limit Comparison Test to determine convergence/divergence.

 

Fri.
9/08

 

Section 9.5:  Use the Alternating Series test to determine convergence / divergence.  Use the Alternating Series Remainder Theorem to approximate the sum of an alternating series to desired degree of accuracy.  Determine whether a sereis is absolutely or conditionally convergent.

Section 9.3:  3, 5, 12, 21, 24, 25, 26, 29, 30, 32, 46, 47, 51, 56

Mon.
9/11

 

Section 9.6:  Use Ratio and Root test to determine convergence / divergence.


Wed.
9/13

 

Section 9.7:  Understand how to find Taylor polynomial approximations of elementary functions.  Use the Remainder Theorem to find bounds on error in approximation.

 Section 9.4:  3, 6, 7, 10, 15, 18, 22, 24, 29 through 36

Fri.
9/15

 

 


Mon.
9/18

 

Section 9.8:  Definition of a power series.  Find the radius and interval of convergence of a power series, including endpoints.  Differentiate and integrate a power series.

Section 9.5 1 thru 6, 11, 14, 15, 20, 37, 40, 44, 47, 50, 58, 65

Wed.
9/20

 

 

Section 9.6:  13, 14, 18, 21, 24, 33, 37, 38, 48, 87, 88

Fri.
9/22

 

 

Section 9.7:  1 through 4, 5, 14, 17, 18, 25, 28

Mon.
9/25

Exam 1

 

 Section 9.7  45, 46, 56, 57, 58

Wed.
9/27

 

Section 9.9:  Geometric power series.  Construct power series for functions from known power series including the methods of partial fractions and integration.


Fri.
9/29

 

 

 

Mon.
10/02

 

Section 9.10  Find Taylor series for a function.  Deriving Taylor series from known Taylor series basic list by algebraic manipulation.  Use a power series to approximate a definite integral.


Wed.
10/04

 

 

 Section 9.8:  1, 3, 11, 14, 17, 18, 22, 25, 30, 41, 42, 65, 68

Fri.
10/06

 

Section 10.1:  Definition and properties of parabolas, ellipses, and hyperbolas. Be able to write and analyze equations for each.

Section 9.9:  2, 3, 5, 8, 17, 29, 20, 21, 39, 40

Mon.
10/09

 

Section 10.2:  Plane Curves and Parametric Equations.  Know what a parametric equation is, be able to sketch its graph and eliminate the parameter in a set of parametric equations.  Find a set of parametric equations to represent a curve.

 Section 9.10:  2, 7, 21, 24, 26, 28, 32, 33, 55, 58,

Wed.
10/11

Quiz
Cancelled

 


Mon.
10/16

 

Section 10.3:  Learn how to find slope of a tangent line to curve, arc length of curve, and area of surface of revolution for curves represented by parametric equations

Section 10.1:  1 thru 8, 14, 22, 25, 34, 40, 41, 44  48, 52, 57, 62, 68, 69, 73, 76.

Wed.
10/18

 

Section 10.4  Convert between polar and rectangular coordinates, including equations. Sketch polar graphs.  Find the slope of tangent lines.

Section 10.2: 5, 10, 16, 20, 24, 39, 41, 43, 48, 52.

Fri.
10/20

 

 

Section 10.3:  2, 8, 10, 13, 16, 24, 29, 32, 35, 37, 40, 45, 46, 48, 49, 68, 69.

Mon.
10/23

Exam 2

 

Section 10.4: 1, 4, 12, 13, 23, 24, 25, 26, 27, 28, 30, 34, 35, 38, 40, 41, 45, 48, 70, 73, 76.

Wed.
10/25

 

Section 10.5 Find points of intersection of two polar graphs, the area bounded by regions in polar graphs, arc length and surface area of revolution, using polar coordinates.

 

Fri.
10/27

 

Section 10.6:  Recognize the polar equations of conic sections,  apply Kepler’s Laws to planetary motion problems.

 

Mon.
10/30

 

Section 11.1:  Definition of vector in the plane, component form, vector operations  -- algebraic and geometric, unit vectors, linear combination of vectors, force and velocity problems.

Section 10.5:  4, 6, 7, 12, 13, 16, 17, 20, 24, 31, 34, 51, 56.

Wed.
11/01

 

Section 11.2:  Three dimensional coordinate system and extension of concepts of vectors in plane to vectors in space.
Application to problems


Fri.
11/03


 

 

Mon.
11/06

 

Section 11.3:  Definition of and properties of dot product of vectors and relationship to angle between two vectors, direction cosines, and projection vector.  Application to work and force problems.

 

Wed.
11/08

 

 


Fri.
11/10

 

Section 11.4  Formula for and interpretation of cross product of two vectors in space and triple scalar product of three vectors in space.  Application to problems.

Section 11.1:  1, 4, 5, 6, 11, 14, 18, 21, 22, 24, 27, 30, 32, 33, 37, 38, 42, 50,

Mon.
11/13

 

Section 11.5 Parametric equations for a line in space.   Equation of a plane in space.  Distance between points, planes and lines in space.

Section 11.1:
 52, 57, 65, 68, 70, 84, 91, 94.
Section 11.2:  7, 10, 26, 36, 38, 41, 44, 53, 56, 60, 66, 73, 76, 77, 82, 86, 112, 113.

Wed.
11/15

 

 

Section 11.3:  8, 10, 18, 21, 22, 23, 24, 29, 36, 41, 42, 45, 47, 50, 71, 74.

Fri.
11/17

Exam 3

 

 

Mon.
11/27

 

Section 11.6  Recognize and write equations for cylindrical and quadratic surfaces, surfaces of revolution

 

Wed.
11/29

 

 

Section 11.4: 7, 10, 16, 23, 30, 35, 38, 43, 46.

Fri.
12/01

 

Section 11.7  Use cylindrical and spherical coordinates in space to represent surfaces.

 Section 11.5: 5, 8, 9, 12, 15, 20, 21, 24, 27, 28, 37, 38, 42, 43, 59, 60,  76, 77, 78, 79, 80, 83, 89, 93, 96, 99.

Revised List for Section 11.5:  5, 12, 20, 21, 28, 37, 42,  43, 60, 83, 89, 96, 99.  Complete through 60 for Friday  (save 83, 89, 96, 99 for later).

Mon.
12/03

Quiz

 

 Section 11.6:  1 through 6, 7, 10, 13, 14, 15, 20, 22, 24, 27, 28, 29, 45, 48, 50.

Wed.
12/05

 

 

Section 11.7:  3, 6, 8, 11, 13, 14, 16, 29, 20, 21, 24, 26, 27, 31, 34, 35, 40, 41, 42, 43, 48, 49, 52, 56, 57, 62, 65, 70, 97, 98, 102.

Fri.
12/07

 

 

 

Wed.
12/13

Final Exam
3:00 p.m.