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 3-space 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 Vector-valued 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 3-Space lecture video (11.6)
8 Surfaces in 3-Space 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, 11.1-11.6, 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 Non-Rectangular Regions lecture video (13.3)
and start the midterm 2 review assignment (listed below).
Thursday, July 21
- Midterm 2 tomorrow will cover sections 12.1-12.8
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, 13.1-13.4,
13.6-13.8, 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 10-14 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 14.1-14.3 Notes
- Chapter 14.4-14.7 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 1-2)
- Missing
Integral Table from back of your book (page 3)
- Dan's Calc 3 Note
Card (double-sided, 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,
11.1-11.6, 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
12.1-12.9, 13.1-13.2)
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 #1-4 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 13.3-13.4, and 13.6-13.9, 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
- Take-home 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)