Math2210 Calculus 3
Spring, 2019
Course Information
Class Notes
Class Schedule/Information
 For Monday's class: read the syllabus and be prepared for class.
 For Wednesday's class: watch 1 Parametric Equations lecture video (10.4) and 2A & 2B Cartesian Coordinates in 3space lecture videos (11.1)
 For Friday's class: watch 3A & 3B Vectors lecture
video (11.2)
Week 2 (January 1418)
 For Monday's class: watch 4A & 4B Dot Product & 4C Planes lecture videos (11.3)
 For Wednesday's class: watch 5A & 5B The Cross Product lecture videos (11.4)
 For Friday's class: be prepared to finish 11.3 and 11.4
Week 3 (January 2125)
 For Monday's class: relax, Monday is a holiday!
 For Wednesday's class: watch 6 Vectorvalued Functions, Curvilinear Motion lecture video (11.5)
 For Friday's class: watch 7 Lines and Tangent Lines in 3Space lecture
video (11.6)
Week 4 (January 28February 1)
 For Monday's class: watch 8 Surfaces in 3Space lecture video (11.8)
 For Wednesday's class: watch 9A & 9B Spherical and Cylindrical Coordinates lecture videos (11.9)
 For Friday's class: watch 10 Functions of Two or More
Variables and 11A & B Partial Derivatives lecture
videos (12.1, 12.2)
Week 5 (February 48)
 For Monday's class: be prepared to ask questions as review for first midterm.
 For Wednesday's class: CLASSES CANCELLEDSNOW DAY!
 For Friday's class: be prepared to take the group portion of
Midterm 1
Week 6 (February 1115)
 For Monday's class: be prepared to take the solo portion of Midterm 1
 For Wednesday's class: watch 12A Limits and 12B Continuity lecture videos (12.3)
 For Friday's class: watch 13 Differentiability & Gradients lecture video (12.4)
Week 7 (February 1822)
 For Monday's class: relax, Monday is a holiday!
 For Wednesday's class: watch 14 Directional Derivatives lecture videos (12.5)
 For Friday's class: watch 15 Chain Rules lecture
video (12.6)
Week 8 (February 25March 1)
 For Monday's class: watch 16A & B Tangent PLanes and Approximations lecture videos (12.7)
 For Wednesday's class: watch 17A & B Maxima and Minima lecture videos (12.8)
 For Friday's class: be prepared to finish covering sections 12.7 & 12.8
Week 9 (March 48)
 For Monday's class: watch 18A & B Lagrange Multipliers lecture videos (12.9)
 For Wednesday's class: be prepared to do more 12.9 examples
 For Friday's class: watch 19A & 19B Double Integrals over
Rectangles & Iterated Integrals lecture
video (13.1, 13.2)
Spring Break Week: March 1115 is Spring Breakthere is NO school!!
Week 10 (March 1822)
 For Monday's class: be prepared to ask questions as review for second midterm.
 For Wednesday's class: be prepared to take the group portion of Midterm 2
 For Friday's class: be prepared to take the solo portion of Midterm 2.
Week 11 (March 2529)
 For Monday's class: watch 20 Double Integrals over NonRectangular Regions lecture video (13.3)
 For Wednesday's class: watch 21 Double Integrals in Polar Coordinates lecture video (13.4)
 For Friday's class: watch 22A & B Surface Area lecture
videos (13.6)
Week 12 (April 15)
 For Monday's class: watch 23 Triple Integrals in Cartesian Coordinates lecture video (13.7)
 For Wednesday's class: watch 24 Triple Integrals in Cylindrical and Spherical Coordinates lecture video (13.8)
 For Friday's class: watch 25 The Jacobian lecture
video (13.9)
Week 13 (April 812)
 For Monday's class: watch 26 Vector Fields lecture video (14.1)
 For Wednesday's class: watch 27A & B Line Integrals and Work lecture videos (14.2)
 For Friday's class: watch 28 Independence of Path lecture
video (14.3)
Week 14 (April 1519)
 For Monday's class: watch 29 Green's Theorem in the Plane lecture video (14.4)
 For Wednesday's class: watch 30 Surface Integrals lecture video (14.5)
 For Friday's class: watch 31 Gauss's Divergence Theorem lecture
video (14.6) and 32 Stokes' Theorem lecture
video (14.7)
Week 15 (April 2224)
 For Monday's class: We'll have a final review today.
 Wednesday: Final Review, 9:3011:00 a.m.
 Thursday: Final Exam, 7:00  10:00 a.m. (starting an hour early to give you
additional time)
Week 16 (Thursday, April 25Wednesday, May 1) (FINAL EXAMS WEEK)
 Wednesday, April 24, 8:30 to 10:30 am, Extra Final Review
 Tuesday, April 30, 10:00 am to 12:00 pm, Extra Final Review
Math221002 (8:35 am class) Math221006 (9:40 am class) Final Exam, Wednesday, May 1, 8:0010:00 am Final Exam, Thursday, April 25, 8:0010:00 am
Week 1 (January 711)
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, 12.112.2)
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 1 Review Book Assignment
 Kelly's
old midterm 3 and Key
Note: This old exam only covered up through chapter 11.
 Here is another Calc
3 exam (from a different instructor)
On this exam, do problems #1  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
 Midterm 2
Review: (covers sections
12.312.9 and 13.113.2)
Note: For the exam, you may bring one 8.5x11 inch sheet of paper of notes (front and back). No electronics nor calculators allowed during the exam.

Midterm 2 Review Book Assignment
 Kelly's
old midterm 2 (that covered slightly different sections) and Key
Note: For this exam, focus on problems #1, 2, 3, 5, 6, 7, 9, and the extra credit question.
 Kelly's
old midterm 3 (that covered slightly different
sections) and Key
Note: For this exam, focus only on problems #1 and 6.
 Here is
another Calc
3 exam (from a different instructor)
Note: For this exam, focus on problems #14 only.
And a set of quizzes from the same teacher that have some good practice questions:
Quiz 5, Quiz 6, Quiz 7
 Yet another exam to
do. Exam
and Key
 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.