MTH 235 Calculus III Calendar Semester 091

Maple labs will be assigned normally each week during the lab class. Your enrollment in Calculus III - M235 entitles you to purchase a copy of Maple 12 Student Edition at a discounted price for your own personal computer.  To complete your purchase, please visit Maplesoft's webstore at https://webstore.maplesoft.com.  To receive this special discount price, please use the appropriate promotion code for this course: .  The discount promotion is only valid from Monday, August 24, 2009 until

 

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

Assignments Due

(Tentative – Check for Updates)

Mon.

08/24

 

 

 

Wed.
 8/26

 

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 9.5.

 

Fri.
8/28

 

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.

Set 1 (9.1 part 1)

Mon.
8/31

 

 

Set 2(9.1, part 2)

Wed.
9/02

 

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

 

Fri.
9/04

 

 

Set 3:  Sect. 9.2

 

Mon.
9/07

 

LABOR DAY - NO CLASS

 

Wed.
9/09

 

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

 

Fri.
9/11

 

 

Set 4: Sect 9.3

Mon.
9/14

 

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 series is absolutely or conditionally convergent.

Set 5:  Sect. 9.4

Wed.
9/16

 

 

 

Fri.
9/18

 

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

 

Mon.
9/21

 

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

Set 6:  Sect. 9.5

Wed.
9/23

Exam 1

 

Review Guide

Set 7: Sect. 9.6

Fri.
9/25

 

 

 

Mon.
9/28

 

 

 

 

Wed.
9/30

 

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.

 

Fri.
10/02

 

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

Set 8:  Sect 9.7

Mon.
10/05

 

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.

Set 9: Section 9.8

Wed.
10/07

 

 

Set 10: Section 9.9

Fri.
10/09

 

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

 

Mon.
10/12

 

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.

Set 11: Section 9.10

Wed.
10/14

 

 

 

Set 12:  Section 10.1

Fri
10/16

 

MIDTERM BREAK - NO CLASS

 

Mon.
10/19

 

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

Set 13:  Section 10.2

Wed.
10/21

 

 

 

Fri.
10/23

Exam 2

 

Set 14:  Section 10.3

Mon.
10/26

 

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

Presentation Problems from 10.1

Due (email)

 

Wed.
10/28

 

Present your problems from 10.1

In class Presentations

Fri.
10/30

 

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.

 

Mon.
11/02

 

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

Set 15:  Section 10.4

Wed.
11/04

 

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.

Set 16:  Section 10.5

Fri.
11/06

 

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

 

 

Mon.
11/09

 

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.

Set 17:  11.1

Wed.
11/11

 

 

 

Fri.
11/13

 

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.

Set 18: 11.2

Mon.
11/16

 

 

 

Wed.
11/18

 

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

Set 19:  11.3

Fri.
11/20

 

 

Set 20: 11.4

Mon.

11/23

Wed.

11/25

Fri.

11/27

 

THANKSGIVING BREAK  --NO CLASSES

 

Mon.

11/30

 

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

Set 21:  11.5

 

Wed.

12/02

 

 

Set 22: 11.6

 

Fri.

12/04

Exam 3

 

 

Mon.
12/07

 

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

 

Wed.

12/09

 

 

 

Fri.
12/11

 

 

Set 23: 11.7

Thurs.

12/17

Final Exam

1:00 p.m. – You got to be kidding??  Last time slot

 

 

Set Number

Written Problem Assignments

1

Section 9.1: 2, 3, 8, 14, 32, 34, 35

2

Section 9.1: 40, 48, 54, 60, 67, 71, 72, 85, 88, 90, 94, 101, 102, 105, 106, 107, 108  (For 105-108 justify your answers)

3

Section 9.2: 4, 5, 8, 12, 24, 36, 39, 42, 61,  70, 72, 82, 99, 110, 111

4

Section 9.3:   2,  11, 14, 22, 23, 27, 28,  30, 33, 45, 46, 59, 62

5

Section 9.4: 6, 7, 10, 14, 17, 18, 22,  23, 29 through 36

6

Section 9.5:  13, 16, 18,  23, 27, 34, 35, 37, 40, 46,  48, 50, 51

7

Section 9.6:  15, 16, 19, 22, 25, 28, 34, 35, 37, 40, 48,  88

8

Section 9.7:  1 through 4, 13, 16, 18, 21,  29, 45, 46, 51, 52, 55, 58

9

Section 9.8:  1, 4, 5, 9, 10, 12, 13, 20, 22, 26,  29, 42, 43, 48

10

Section 9.9:  1, 4, 7, 10, 18, 19, 20, 21, 39, 40

11

Section 9.10:  1, 4, 11, 12, 22, 23, 26, 28, 37, 50, 51, 55, 56

12

Section 10.1:  1 thru 8, 16, 24, 27, 30, 39, 42, 47,  50, 55, 63, 64, 68, 72, 76

13

Section 10.2: 6, 10, 15, 20, 24,  32, 36, 41, 48, 52

14

Section 10.3:  3, 8, 12, 13, 16, 23, 28, 32, 34, 38, 41, 46, 49, 69, 70

15

Section 10.4: 1, 4, 8, 12, 16, 23, 24, 25, 26, 28, 29, 30, 32, 35, 38, 40, 46, 50, 65, 76

16

Section 10.5:  2, 3, 4, 6, 10, 12, 15, 16, 17, 24, 34, 35, 53

17

Section 11.1:  1, 4, 6, 10, 13, 17, 19,  20, 24, 34, 40, 49,  54, 71, 82, 90

18

Section 11.2:  7, 8, 28, 38, 39, 44, 51,  54, 60, 61, 64, 76, 82, 95, 114

19

Section 11.3:  7, 10, 12, 17, 21, 22, 24, 31, 38,  45, 46, 50, 71, 74

20

Section 11.4:  8, 13, 30, 36, 37, 44, 45

21

Section 11.5:  5,  10, 11, 15, 20, 21, 23, 27, 28, 37, 38, 41, 42, 51, 58, 83, 89, 94, 97, 100

22

Section 11.6:  7, 10, 13, 14,  20, 22,  27, 29, 40, 47, 48, 51

23

Section 11.7:  3, 6, 8, 11, 13, 14, 16, 19, 20, 21, 24, 26, 27, 98, 99