Math 2326 Calculus III Homework
                              Note that this will be updated frequently.
                                                  {Last update: Tuesday April 25, 2017 03:14 PM}

                                                Planned Homework

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Homework for Midterm I
Homework for Midterm 2
Homework after Midterm 2 leading to Final Exam

Date

Section/Problems Assigned: Your homework will be online in uta.mylabsplus.com.  The textbook problems listed correspond directly to the problems in uta.mylabsplus.com. For directions on how to get set up in uta.mylabsplus.com please see the directions found here.

Jan 17:

11.1 Vectors in the Plane. 11, 23, 49, 57, 65, 71, 75, 76, 78, 83

Jan 19:

11.2 Vectors in Three Dimensions. 7, 25, 32, 33, 41, 47, 53, 65, 72, 74
11.3 Dot Products. 

Jan 24:

11.3 Dot Products. 5, 13, 33, 42, 45, 49, 59, 73, 79, 87

Jan 26:

11.4 Cross Products. 5, 13, 19, 23, 27, 31, 41, 51, 65, 73
11.5 Lines and Curves in Space. 5, 9, 23, 28, 33, 41, 45, 51, 60, 66

Jan 31:

11.6 Calculus of Vector-Valued Functions. 11, 24, 37, 43, 50, 55, 63, 71, 81, 84

Feb 2:

11.7 Motion in Space. 7, 21, 25, 33, 37, 43, 47, 56, 65, 67

Feb 7:

11.8 Length of Curves. 1, 9, 13, 15, 23, 31, 35, 43, 48, 56

Feb 9:

11.9 Curvature and Normal Vectors. 11, 15, 27, 37, 42, 48, 54, 57, 69, 72

Feb 14:

12.1 Planes and Surfaces. 11, 15, 25, 35, 41, 47, 52, 59, 63, 91

Feb 16:

12.2 Graphs and Level Curves. 22, 24, 30, 32, 34, 35, 50, 40, 66

Review Problems from Textbook (not included in the online review mylabsplus assignment that I posted on 2/17/2017)

11.3 Dot Products. 4

11.4 Cross Products. 1, 2

11.5 Lines and Curves in Space. 4, 7, 18

11.6 Calculus of Vector-Valued Functions. 2, 40

11.7 Motion in Space. 5, 6

11.8 Length of Curves. 3, 7, 10, 32, 44, 48, 49 [for 44, 48, and 49 Find the curvature using κ(s)=|dT/ds|

11.9 Curvature and Normal Vectors. 1, 4, 5, 6, 69 (use formula from exercise #50, but also verify that this is the same as finding the curvature using κ(t)=|T’(t)|/|r’(t)|.

12.1 Planes and Surfaces.  2, 103

12.2 Graphs and Level Curves. 6, 8, 10 (hint: see pg 881)

Feb 21:

12.3 Limits and Continuity. 13, 18, 27, 32, 37, 39, 45, 51, 56, 59
Review

Feb 23:

Midterm 1: In class (covers 11.1-11.9, 12.1-12.2)

Make sure you bring a photo ID, pencil, and an allowed scientific calculator.
You will need to bring a scantron (Type: SC882-E).

You are allowed to bring a 3 x 5 index card to the exam (I'll assume you'll write information relevant to you on both sides of the card if needed).

Feb 28:

12.4 Partial Derivatives. 13, 26, 33, 37, 41, 47, 49, 56, 80, 88

Mar 2:

12.4 Partial Derivatives (continued)
12.5 The Chain Rule. 4, 9, 16, 21, 23, 33, 36, 40, 64, 68 [video posting]

Mar 7:

12.6 Directional Derivatives and the Gradient. 9, 15, 21, 25, 27, 31, 33, 44, 53, 55

Mar 9:

12.7 Tangent Planes and Linear Approximations. 11, 14, 19, 24, 25, 31, 40, 47, 51 (remaining notes on video, see Blackboard)
12.8 Maximum and Minimum Problems.  12, 17, 22, 27, 40, 47, 50, 53, 65 (on video, see Blackboard)
12.9 Lagrange Multipliers. 3, 7, 11, 15, 21, 26, 30, 31, 35 (on video, see Blackboard)

Mar 21:

Review/Examples from 12.8 and 12.9
13.1 Double Integrals over Rectangular Regions. 1, 5, 8, 17, 22, 23, 28, 31, 47

Mar 23:

13.2 Double Integrals over General Regions. 10, 13, 17, 21, 49, 54, 63, 66, 69, 75
Review

Midterm 2 Review Questions (posted 3/19/2017 on Blackboard):

Section 12.3

#2, 3*, 4, 5*, 6*, 7*, 9, 16*, 17,  29*, 32*, 38, 39*,  [also similar examples worked in class or videos posted], 45*, 51*

Section 12.4

#1*, 2, 3*, 4, 5, 6*, 19, 26*, 33*, 42*, 49*, 56*, 57*

Section 12.5

#1*, 2*, 3, 4*, 6*, 15, 23*, 35*, 55*

Section 12.6

#1*, 2, 3*, 4*, 5, 11*, 25*, 31*, 33*, 39, 55*, [also see example from class on computing path of steepest ascent/descent and video posted]

Section 12.7

#1*, 2, 3*, 4, 5, 6, 7*,8, 11*, 15, 19*, 21, 25*, 29, 31*, 33, 36*, 51*

Section 12.8

#1, 2, 3*, 4*, 5*, 6, 7*,8*, 13*, 17*, 23, 26, 37*, 41, 47*, 51

Section 12.9

#2, 3*, 7*, 11*, 21*, 26*

*Included (or similar problem) in a mylabsplus review assignment. Please make sure you also work the ones above that are not in the mylabsplus review assignment.

**Note any examples that I worked in the videos posted as well as examples from class (or asked you to write in your notes) should be reviewed also.

Mar 28:

Midterm 2: In class (covers 12.3-12.9)

Make sure you bring a photo ID, pencil, and an allowed scientific calculator.
You will need to bring a scantron (Type: SC882-E).

You are allowed to bring a 3 x 5 index card to the exam (I'll assume you'll write information relevant to you on both sides of the card if needed).

Mar 30:

13.3 Double Integrals in Polar Coordinates. 7, 13, 21, 24, 27, 40, 43, 53, 65
13.4 Triple Integrals. 7, 13, 15, 20, 28, 31, 32, 39, 41

Apr 4:

13.5 Triple Integrals in Cylindrical and Spherical Coordinates. 15, 18, 23, 30, 33, 39, 42, 47, 49, 66

Apr 6:

13.6 Integrals for Mass Calculations. 9, 13, 19, 21, 25, 33, 36, 43
13.7 Change of Variables in Multiple Integrals. 5, 19, 27, 29, 31, 33, 37, 41 (see Blackboard for links to video)

Apr 11:

14.1 Vector Fields. 9, 10, 17, 19, 25, 50
14.2 Line Integrals. 11, 13, 27, 31, 33, 37, 39, 44, 45

Apr 13:

14.2 Line Integrals continued.

Apr 18:

14.3 Conservative Vector Fields. 9, 17, 27, 31, 33, 35, 41, 45

Apr 20:

14.4 Green’s Theorem. 11, 13, 14, 17, 21, 23 29, 32, 35
14.5 Divergence and Curl. 9, 17, 23, 27, 31, 41 (see Blackboard for video lecture)

Apr 25:

14.6 Surface Integrals. 12, 17, 27, 29, 31, 35, 38, 43, 53

Apr 27:

14.7 Stokes’ Theorem. 5, 7, 11, 14, 17, 20, 41

May 2:

14.8 The Divergence Theorem. 9, 11, 13, 17, 20, 23, 25

May 4:

Review

May 6:

Final Exam (Departmental) 3:30-6:00 p.m. (cumulative exam—covers 13.1-14.8 and all sections above)

Make sure you bring a photo ID, pencil, and an allowed scientific calculator.
You will need to bring a scantron (Type: SC882-E).

You are allowed to bring a 5 x 7 index card to the exam (I'll assume you'll write information relevant to you on both sides of the card if needed).