MTH 235 Calculus III Calendar Semester 101

Maple labs will be assigned normally each week during the lab class. 

Students in this class are entitled to purchase Maple 14 at a discounted price from the Maplesoft Web Store (http://webstore.maplesoft.com).  To do this,  you will need to enter the promotion code where prompted.
 
Our Promotion Code: AP64235

 

 

The discount promotion is only valid for the entire semester. 

 

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.

Presentation Grade Sheet

Date

Exams or Quizzes

Reading Assignments From Larson Calculus

Assignments Due

(Tentative – Check for Updates)

Mon.

08/23

 

 

 

Wed.
 8/25

 

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.
8/27

 

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.
8/30

 

 

Set 2(9.1, part 2)

Wed.
9/01

 

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.
9/06

 

LABOR DAY - NO CLASS

 

Wed.
9/08

 

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

 

Fri.
9/10

Quiz  9.2-9.4  Topics

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 4: Sect 9.3

Mon.
9/13

 

.

Set 5:  Sect. 9.4

Wed.
9/15

Exam 1

 

Set 6:  Sect. 9.5

Fri.
9/17

 

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

 

Mon.
9/20

 

 

 

Wed.
9/22

 

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 7: Sect. 9.6

Fri.
9/24

 

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

 

Mon.
9/27

 

 

 

 

Wed.
9/29

 

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

Fri.
10/01

 

 

Set 9: Section 9.8

Mon.
10/04

 

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 10: Section 9.9

Wed.
10/06

 

 

 

Fri.
10/08

Exam 2

 

Set 11: Section 9.10

Mon.
10/11

 

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

 

Wed.
10/13

 

 

Set 12:  Section 10.1

Fri
10/15

 

MIDTERM BREAK - NO CLASS

 

Mon.
10/18

 

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.

 

Wed.
10/20

 

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

 

Fri.
10/22

 

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

Set 13:  Section 10.2

 

Mon.
10/25

 

 

 

Wed.
10/27

 

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.

Set 14:  Section 10.3

Fri.
10/29

 

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 15:  Section 10.4

Mon.
11/01

 

Review

Set 16:  Section 10.5

Wed.
11/03

Exam 3

 

 

Fri.
11/05

 

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

 

 

Mon.
11/08

 

 

 

Wed.
11/10

 

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 18: 11.1

Fri.
11/12

 

 

Set 19: 11.2

Mon.
11/15

 

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.

 

Wed.
11/17

 

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 20:  11.3

Fri.
11/19

 

 

Set 21: 11.4

Mon.

11/22

Wed.

11/23

Fri.

11/25

 

THANKSGIVING BREAK  --NO CLASSES

 

Mon.

11/29

 

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

Set 22:  11.5

 

Wed.

12/01

 

 

 

Fri.

12/03

Exam 4

 

Set 23: 11.6

 

Mon.
12/06

 

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

 

Wed.

12/08

 

 

 

Fri.
12/10

 

Review for Final

Set 24: 11.7

Wed

12/15

Final Exam

1:00 p.m.  Comprehensive

 

 

Set Number

Written Problem Assignments

1

Section 9.1 Part 1: 2, 3, 8, 11,14, 32, 34, 35, 38, 40

2

Section 9.1 Part 2: 40, 48, 54, 60, 67, 71, 72, 85, 88, 90, 93, 94, 96, 99, 100, 105, 106, 108 

3

Section 9.2: 1, 6, 10, 12, 15, 25, 26, 29, 38, 39, 41, 42, 55, 60, 61,64, 67, 71, 74, 83, 86, 94, 102, 105, 106, 113

4

Section 9.3:   2,  4, 5, 12, 16, 19, 20, 28, 29, 31, 32, 40, 41, 52, 71, 76

5

Section 9.4:  4, 5, 9, 10, 17, 18, 21, 22, 29 through 36  (For 29-36 use tests agreed upon in class), 55-60

6

Section 9.5:  9, 11, 12, 16, 18, 21, 22, 29, 32, 41, 44, 47, 48, 51, 54, 57, 60, 61

7

Section 9.6:  15, 16, 20, 23, 26, 35, 28, 45, 48, 53, 56, 62, 77, 78 (use ratio test), 88, 98 (Apply ratio test  to find interval-- test end points separately)

8

Section 9.7:  1 through 4, 13, 16, 24, 29, 30, 43, 44, 45, 46, 49, 52

9

Section 9.8:  1, 2, 3, 4, 5, 9, 10, 11, 16, 17, 22, 24, 26, 27, 41, 42, 49 – 52

10

Section 9.9:  1, 4, 5, 10, 17, 19, 20, 21, 25, 35, 36, 38, 39, 40

11

Section 9.10:  2, 4, 7, 13, 18, 24, 27, 30, 36, 42, 43, 59, 60, 69, 70

12

Section 10.1:  1 thru 8, 11 16, 21, 24, 33, 34, 41, 44, 47, 48, 51, 52, 58, 61, 68, 70, 73, 75, 120

13

Section 10.2:   3, 6, 15, 24, 32, 33, 41, 49, 55, 56

14

Section 10.3:   7, 10, 14, 17, 18, 29, 32, 40, 48, 52, 60, 67, 70, 72

15

Section 10.4: 1, 2, 3, 4, 11, 12, 13, 14, 23, 24, 25, 26, 27, 28, 32, 35, 37, 40, 44, 45, 48, 53, 60, 78, 79, 86, 90, 96

16

Section 10.5:  1, 2, 3, 4, 6, 7, 12, 19, 22, 25, 26, 32, 43, 46, 58, 59, 67, 68

17

Section 10.6:  7-12, 14, 19, 22, 37, 40, 42  Cancelled

18

Section 11.1:  1, 4, 6, 10, 11, 18, 24, 26, 29, 33, 36, 37, 45, 48, 49, 52, 53, 60, 71, 72, 81

19

Section 11.2:  7, 8, 9, 10, 26, 35, 38, 41, 44, 49, 50, 54, 62, 65, 72, 74, 79, 82, 96, 112

20

Section 11.3:  4, 9, 12, 17, 21, 22, 24, 31, 38,  45,  50, 71, 74

21

Section 11.4:  8, 13, 30, 36, 34, 37, 44, 45

22

Section 11.5:  7,  10, 11, 17, 20, 21, 24, 28, 31, 32, 37, 40,  43, 44, 47, 48,  56, 66, 67,  83, 94, 99, 103

23

Section 11.6:  7, 10, 11, 14,  20, 22,  27, 30, 47, 48, 50

24

Section 11.7:  3, 6, 8, 11, 13, 14, 18, 19, 20, 21, 24, 26, 27, 32, 32, 35, 36, 99, 100