Math2210 Calculus 3
Summer, 2019
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Syllabus
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Course Outline (Schedule)
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Suggested Homework Assignments
- Book
Information (scroll down to get to the listing for
Math1210/1220/2210 and read the Book Purchasing Document)
Class Notes
- Chapter 11 Notes
- Chapter 12 Notes
- Chapter 13 Notes
- Chapter 14 Notes
Class Schedule/Information
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Calculus 3 Lecture Videos
- 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)
WEEK 1:
Monday, July 8
- 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 9
- Quiz 2 tomorrow will cover sections 11.3 and 11.4
- 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)
Wednesday, July 10
- Quiz 3 tomorrow will cover sections 11.5, 11.6, and 11.8
- For tomorrow's lecture, watch video:
9A & 9B Spherical and Cylindrical Coordinates lecture video (11.9)
10 Functions of Two or More Variables lecture video (12.1)
and start the midterm 1 review assignment (listed below).
Thursday, July 11
- Midterm 1 tomorrow will cover sections 10.4, 11.1-11.6, 11.8,
11.9
Friday, July 12
- Quiz 4 on Monday will cover section 11.9 and 12.1
- For Monday's lecture, watch videos:
11A & B Partial Derivatives lecture videos (12.2)
12A Limits and 12B Continuity lecture videos (12.3)
13 Differentiability & Gradients lecture video (12.4)
WEEK 2:
Monday, July 15
- Quiz 5 tomorrow will cover sections 12.2, 12.3, and 12.4
- For tomorrow's lecture, watch videos:
14 Directional Derivatives lecture videos (12.5)
15 Chain Rules lecture video (12.6)
16A & B Tangent PLanes and Approximationslecture videos (12.7)
Tuesday, July 16
- Quiz 6 tomorrow will cover sections 12.5, 12.6 and 12.7
- For tomorrow's lecture, watch videos:
17A & B Maxima and Minima lecture videos (12.8)
18A & B Lagrange Multipliers lecture videos (12.9)
19A Double Integrals over Rectangles & Iterated Integrals lecture video (13.1)
Wednesday, July 17
- Quiz 7 tomorrow will cover sections 12.8 and 12.9
- For tomorrow's lecture, watch videos:
19B Double Integrals over Rectangles & Iterated Integrals lecture video (13.2)
and start the midterm 2 review assignment (listed below).
Thursday, July 18
- Midterm 2 tomorrow will cover sections 12.1-12.9
Friday, July 19
- Quiz 8 on Monday will cover sections 13.1
and 13.2
- For Monday's lecture, watch videos:
20 Double Integrals over Non-Rectangular Regions lecture video (13.3)
21 Double Integrals in Polar Coordinates lecture video (13.4)
22A & B Surface Area lecture videos (13.6)
WEEK 3:
Monday, July 22
- Quiz 9 on Tuesday will cover sections 13.3, 13.4, and 13.6
- For tomorrow's lecture, watch videos:
23 Triple Integrals in Cartesian Coordinates lecture video (13.7)
24 Triple Integrals in Cylindrical and Spherical Coordinates lecture video (13.8)
25 The Jacobian lecture video (13.9)
Tuesday, July 23
- Quiz 10 on Thursday will cover sections 13.7 and 13.8
- For Thursday's lecture, watch videos:
26 Vector Fields lecture video (14.1)
and start the midterm 3 review assignment (listed below).
Wednesday, July 24
This is a school holiday (Pioneer Day)...your assignment for today is to relax and have some fun!
Thursday, July 25
- Midterm 3 tomorrow will cover sections 13.1-13.4,
13.6-13.9
Friday, July 26
- Quiz 11 on Monday will cover sections 13.9 and 14.1
- For Monday's lecture, watch videos:
27A & B Line Integrals and Work lecture videos (14.2)
28 Independence of Path lecture video (14.3)
29 Green's Theorem in the Plane lecture video (14.4)
WEEK 4:
Monday, July 29
- Quiz 12 tomorrow will cover sections 14.2, 14.3 and 14.4
- For tomorrow's lecture, watch videos:
30 Surface Integrals lecture video (14.5)
31 Gauss's Divergence Theorem lecture video (14.6)
32 Stokes' Theorem lecture video (14.7)
Tuesday, July 30
- Start final review assignment to be sure you're ready for the
final exam.
Wednesday, July 31
- The final celebration of what you know from 2210 is today!
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
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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.)
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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)
- Nathan's
Calc 3 Note Card
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)
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
- Kelly's old midterm 2 and Key
- 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
- Several old exams to look through.
- Midterm 1 Review Book Assignment
- Midterm 3 Review: (covers sections 13.1-13.4, and 13.6-13.9)
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 3 Review Book Assignment
- Kelly's old midterm 3 and Key
- 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 #5 on this exam.
- And a set of quizzes from the same teacher that have some good practice questions:
Quiz 8, Quiz 9 (do #1 and 2)
- Yet another exam. Test 2 (do problems 1, 2, 4, and 5 for a fun challenge)
- Several old exams to look through.
- Midterm 3 Review Book Assignment
- Final Review: (covers everything we've
covered in class this semester)
Note: For the exam, you may bring two 8.5x11 inch sheets of paper of notes (front and back). No electronics of any sort are allowed during the exam.
- Final Review Assignment
- Extra Final Review Problems (read through the Final Review Assignment to make sense of this link) and Key
- Kelly's old final exam and Key
- Here is another Calc 3 Final Exam (From a different instructor) and the Key
- Here are some good references in addition to our lecture videos.
- Final Review Assignment
- Unit
Circle (Trigonometry)
Friday, July 5
- Quiz 0 on Monday will be review quiz from Calculus 1 & 2 topics