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 3-space lecture videos (11.1)
- For Friday's class: watch 3A & 3B Vectors lecture
video (11.2)
Week 2 (January 14-18)
- 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 21-25)
- For Monday's class: relax, Monday is a holiday!
- For Wednesday's class: watch 6 Vector-valued Functions, Curvilinear Motion lecture video (11.5)
- For Friday's class: watch 7 Lines and Tangent Lines in 3-Space lecture
video (11.6)
Week 4 (January 28-February 1)
- For Monday's class: watch 8 Surfaces in 3-Space 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 4-8)
- For Monday's class: be prepared to ask questions as review for first midterm.
- For Wednesday's class: CLASSES CANCELLED--SNOW DAY!
- For Friday's class: be prepared to take the group portion of
Midterm 1
Week 6 (February 11-15)
- 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 18-22)
- 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 25-March 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 4-8)
- 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 11-15 is Spring Break--there is NO school!!
Week 10 (March 18-22)
- 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 25-29)
- For Monday's class: watch 20 Double Integrals over Non-Rectangular 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 1-5)
- 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 8-12)
- 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 15-19)
- 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 22-24)
- For Monday's class: We'll have a final review today.
- Wednesday: Final Review, 9:30-11:00 a.m.
- Thursday: Final Exam, 7:00 - 10:00 a.m. (starting an hour early to give you
additional time)
Week 16 (Thursday, April 25-Wednesday, 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
Math2210-02 (8:35 am class) Math2210-06 (9:40 am class) Final Exam, Wednesday, May 1, 8:00-10:00 am Final Exam, Thursday, April 25, 8:00-10:00 am
Week 1 (January 7-11)
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)
- 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, 12.1-12.2)
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 12.3-12.9 and 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 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 #1-4 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
- Midterm 1 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