Math2210 Calculus 3
Summer, 2019

Syllabus

Course Outline (Schedule)

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

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 3space 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 Vectorvalued 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 3Space lecture video (11.6)
8 Surfaces in 3Space 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, 11.111.6, 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 12.112.9
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 NonRectangular 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 13.113.4,
13.613.9
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

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)
 Nathan's
Calc 3 Note Card
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)
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 #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
 Several old exams to look through.
 Midterm 3 Review: (covers sections 13.113.4, and 13.613.9)
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.
 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.
 Unit
Circle (Trigonometry)
Friday, July 5
 Quiz 0 on Monday will be review quiz from Calculus 1 & 2 topics