Math2210 Calculus 3
Summer, 2016
Class Schedule/Information
 Quiz 0 on Monday will be review quiz from Calculus 1 & 2 topics
 For Monday's lecture, watch videos:
1 Parametric Equations lecture video (10.4)
2A & 2B Cartesian Coordinates in 3space lecture videos (11.1)
3A & 3B Vectors lecture video (11.2)
Monday, July 11
 Quiz 1 tomorrow will cover sections 10.4, 11.1, and 11.2
 For tomorrow's lecture, watch videos:
4A & 4B Dot Product & 4C Planes lecture videos (11.3)
5A & 5B The Cross Product lecture videos (11.4)
6 Vectorvalued Functions, Curvilinear Motion lecture video (11.5)
Tuesday, July 12
 Quiz 2 tomorrow will cover sections 11.3, 11.4 and 11.5
 For tomorrow's lecture, watch videos:
7 Lines and Tangent Lines in 3Space lecture video (11.6)
8 Surfaces in 3Space lecture videos (11.8)
9A & 9B Spherical and Cylindrical Coordinates lecture video (11.9)
Wednesday, July 13
 Quiz 3 tomorrow will cover sections 11.6, 11.8, and 11.9
 For tomorrow's lecture, watch video:
10 Functions of Two or More Variables lecture video (12.1)
11A & B Partial Derivatives lecture videos (12.2)
and start the midterm 1 review assignment (listed below).
Thursday, July 14
 Midterm 1 tomorrow will cover sections 10.4, 11.111.6, 11.8,
11.9
Friday, July 15
 Quiz 4 on Monday will cover section 12.1 and 12.2
 For Monday's lecture, watch videos:
12A Limits and 12B Continuity lecture videos (12.3)
13 Differentiability & Gradients lecture video (12.4)
14 Directional Derivatives lecture videos (12.5)
Monday, July 18
 Quiz 5 tomorrow will cover sections 12.3, 12.4, and 12.5
 For tomorrow's lecture, watch videos:
15 Chain Rules lecture video (12.6)
16A & B Tangent PLanes and Approximations lecture videos (12.7)
17A & B Maxima and Minima lecture videos (12.8)
Tuesday, July 19
 Quiz 6 tomorrow will cover sections 12.6, 12.7 and 12.8
 For tomorrow's lecture, watch videos:
18A & B Lagrange Multipliers lecture videos (12.9)
19A Double Integrals over Rectangles & Iterated Integrals lecture video (13.1)
19B Double Integrals over Rectangles & Iterated Integrals lecture video (13.2)
Wednesday, July 20
 Quiz 7 tomorrow will cover sections 12.9, 13.1 and 13.2
 For tomorrow's lecture, watch videos:
20 Double Integrals over NonRectangular Regions lecture video (13.3)
and start the midterm 2 review assignment (listed below).
Thursday, July 21
 Midterm 2 tomorrow will cover sections 12.112.8
Friday, July 22
 Quiz 8 on Tuesday (Monday is a holiday) will cover sections 13.1, 13.2, and 13.3
 For Tuesday's lecture, watch videos:
21 Double Integrals in Polar Coordinates lecture video (13.4)
22A & B Surface Area lecture videos (13.6)
23 Triple Integrals in Cartesian Coordinates lecture video (13.7)
Monday, July 25
This is a school holiday (Pioneer Day)...your assignment for today is to relax and have some fun!
Tuesday, July 26
 Quiz 9 tomorrow will cover sections 13.4 13.6, and 13.7
 For tomorrow's lecture, watch videos:
24 Triple Integrals in Cylindrical and Spherical Coordinates lecture video (13.8)
25 The Jacobian lecture video (13.9)
26 Vector Fields lecture video (14.1)
Wednesday, July 27
 Quiz 10 on tomorrow will cover sections 13.8, 13.9, and 14.1
 For tomorrow's lecture, watch videos:
27A & B Line Integrals and Work lecture videos (14.2)
and start the midterm 3 review assignment (listed below).
Thursday, July 28
 Midterm 3 tomorrow will cover sections 12.9, 13.113.4,
13.613.8, 14.1
Friday, July 29
 Quiz 11 on Monday will cover section 14.1 and 14.2
 For Monday's lecture, watch videos:
28 Independence of Path lecture video (14.3)
29 Green's Theorem in the Plane lecture video (14.4)
30 Surface Integrals lecture video (14.5)
Monday, August 1
 Quiz 12 tomorrow will cover sections 14.3, 14.4, and 14.5
 For tomorrow's lecture, watch videos:
31 Gauss's Divergence Theorem lecture video (14.6)
32 Stokes' Theorem lecture video (14.7)
Tuesday, August 2
 The final exam tomorrow will cover
everything from chapters 1014 that we have covered in this class.
Wednesday, August 3
 The final celebration of what you know from 2210 is today!
Class Notes
 Section 10.4 and Chapter 11 Notes
 Chapter 12 Notes
 Chapter 13 Notes
 Chapter 14.114.3 Notes
 Chapter 14.414.7 Notes
Extra Problems/Reference materials
 Unit
Circle (Trigonometry)
Miscellaneous Homework Problems or Examples
 Section 12.3 Problem #15
 Section 13.7 Problem #17
Sample Reference Cards/Formula Sheets

Sample Reference
Card #1 (Note: The derivatives of both arctan(x) and arccot(x) need the radical removed from denominator, and the derivative of arccot(x) needs to be multiplied by 1.)

Sample Reference
Card #2
 Missing
Integral Tables from back of your book (pages 12)
 Missing
Integral Table from back of your book (page 3)
 Dan's Calc 3 Note
Card (doublesided, it's totally awesome!)
 Dan's Calc 3 Note
Card(on one side of paper)
Algebra/Trigonometry Resources
Exam Reviews
 Midterm 1
Review: (covers sections 10.4,
11.111.6, 11.8, 11.9)
Note: For the exam, you may bring one 8.5x11 inch sheet of paper of notes (front and back). No electronics allowed during the exam.

Midterm 1 Review Book Assignment
 Here is
another Calc
3 exam (from a different instructor)
On this exam, do problems #1, 2, 3, 4a, 5 for additional practice.
 Yet another set of exams and suggested problems
to
do. Test
1 and
its Key
and Test
2 and
its Key
 Kelly's
old midterm 1 and Key
 Midterm 2
Review: (covers sections
12.112.9, 13.113.2)
Note: For the exam, you may bring one 8.5x11 inch sheet of paper of notes (front and back). No electronics allowed during the exam.

Midterm 2 Review Book Assignment
 Here is
another Calc
3 exam (from a different instructor)
On this exam, do problems #14 for additional practice.
And a set of quizzes from the same teacher that have some good practice questions:
Quiz 4, Quiz 5, Quiz 6, Quiz 7
 Yet another exam to
do. Exam
and Key
 Kelly's
old midterm 2 and Key
 Midterm 3
Review: (covers sections 13.313.4, and 13.613.9, 14.1)
Note: For the exam, you may bring one 8.5x11 inch sheet of paper of notes (front and back). No electronics allowed during the exam.

Midterm 1 Review Book Assignment
 Here is
another Calc
3 exam (from a different instructor)
On this exam, do problems #1, 2 (parts 1 and 2), and 4ab for additional practice.
Also do #3b on this exam.
 And a set of quizzes from the same
teacher that have some good practice questions:
Quiz 7 (do number 1),Quiz 8, Quiz 9
 Yet another exam. Test
2 (do problems 1, 2, 3ab, 4)
 Kelly's
old midterm 3 and Key
 Final
Review: (covers everything we've
covered in class this semester)
Note: For the exam, you may bring one 8.5x11 inch sheet of paper of notes (front and back). No electronics allowed during the exam.

Final Review Assignment
 Extra
Final Review Problems (read through the Final Review
Assignment to make sense of this link)
 Extra
Final Review Answers (to Extra Final Review Problems
that were assigned)
 Here is
another Calc
3 Final Exam (From a different instructor) and
the Key
 Kelly's
old final exam and Key
 Takehome portion of the Final Exam
First, here are some good references in addition to our lecture videos. Fundamental
Theorems of Vector Calculus

Khan Academy videos on Gauss' Divergence Theorem
 Intuition
of Gauss' Divergence Theorem
 Khan
Academy videos on Stokes' Theorem
 Intuition of
Stokes' Theorem
 Fundamental
Theorems of Vector Calculus
 Unit
Circle (Trigonometry)