**Problem of the Week**

**Math Club**

**BUGCAT 2019**

**DST and GT Day**

**Number Theory Conf.**

**Zassenhaus Conference**

**Hilton Memorial Lecture**

You are here: Homepage » People » Graduate Students » Christopher Eppolito » Calculus III (Fall 2019, Sections 05 and 06)

people:grads:eppolito:math323-05_06-f19

This is a website built for math323-05-f19 and math323-06-f19. If you have an idea to improve this space, please email eppolito-at-math-dot-binghamton-dot-edu with your suggestion; I would like this space to be as useful to students as possible…

The official course page is at the following link:

https://www2.math.binghamton.edu/p/calculus/math_323/start.

Its contents are our syllabus.

Your instructor is Chris Eppolito (hey, that's me!). Email me at eppolito-at-math-dot-binghamton-dot-edu for anything regarding this class. Be sure to include your name and section number in the email.

Section 5: MWF 14:50 - 16:20 in LH 3

Section 6: MWF 16:40 - 18:10 in CW 323

Our help room for this class is WH 233. Please see the schedule for my hours. I can also meet by appointment (email me to set up an appointment).

You can visit any Calculus III instructor in the help room, and I encourage you to do so! Different folks think differently; maybe someone else thinks more like you, and you can get help from them too.

*Multivariable Calculus (8e)* by Stewart

The textbook (as an e-book) comes with a subscription to WebAssign, so just get that…

See the official grading distribution.

Reasoning in three dimensions. Calculus of functions in several variables. We will cover most of chapters 12 - 16 in the textbook, together with some small excursions as I see fit.

This class uses WebAssign for online homework assignments. You are expected to check WebAssign daily, and to know when assignments are due. *I will NOT notify you of assignment due dates* (all due dates are already posted).

Email me if you need the key to our class in WebAssign.

I assign written homework throughout the semester. Here is a record.

- Written Homework 1 (Assigned 30 August 2019; Due 6 September 2019)

Here are some practice problems (updated 5 September 2019) I like. Check back for updates…

Quizzes will be given frequently throughout the course. Quizzes are intended to check that you understand basic concepts from previous classes and from assigned reading.

I typically grade quiz questions on a 5-point scale. The following is a ROUGH guide to interpreting each score.

**5**: Understands concept, with minor errors**4**: Mostly understands concept, with errors in execution or minor misunderstanding**3**: Conceptual misunderstanding present, but not yet serious**2**: Major conceptual misunderstandings, with shallow understanding (if any)**1**: Mostly nonsense, with serious errors**0**: Demonstrates no understanding of the topic

Here are some useful technological tools for this class, together with some descriptions.

- Mathpix is a browser 3D graphing calculator. The interface is self explanatory, produces very nice pictures, and doesn't use a lot of computing power.
- GeoGebra is a math learning software (that link is to the browser 3D graphing calculator). You can download a copy (for Linux, Mac, or Windows) and write your own sheets, too! There is a learning curve…
- Academo is a browser 3D graphing calculator. It provides nice shading, but has a limited rotation.

This section is a record of what I have covered and plan to cover in my sections. See also the official schedule.

- First-day stuff
- Discussed the syllabus
- Introductions from students

- Geometry in three dimensions (textbook section 12.1)
- Proved the Distance Formula.

*Homework**Read*: Textbook sections 12.1 and 12.2*Do*: Attempt practice problems

- Vectors and Vector Operations (textbook section 12.2)
- Algebraic and geometric descriptions of vectors
- Addition and scalar multiplication operations on vectors
- Algebraic properties of vector addition and scalar multiplication

*Homework**Read*: Textbook section 12.3*Do*: Attempt practice problems

**Quiz**: Vector operations, definition of the dot product- The Dot Product (textbook section 12.3)
- Algebraic definition of the dot product
- Algebraic properties of the dot product
- Geometric interpretation of the dot product and consequences

- The Cross Product (textbook section 12.4)
- Briefly constructed the cross product as a particular vector orthogonal to two given vectors

*Homework**Read*: Textbook sections 12.4 and 12.5*Do*: Attempt practice problems

- The Cross Product (textbook section 12.4)
- Construction as a “determinant”
- Algebraic Properties
- Geometric Properties

- Lines and Planes in 3-Space (textbook section 12.5)
- Lines
- Vector parametrizations
- Coordinate functions
- Symmetric equations

- Planes
- Vector sums of non-parallel vectors
- Normal vector to a plane

- Returned first quiz at class end
*Homework**Do*: Attempt practice problems

- Brief review of lines and planes in 3-space
*Homework**Read*: Textbook sections 12.6 and 13.1*Do*: Play with quadric surfaces and curves in 3-space–use a 3D graphing calculator as you read!

**Written Homework**: Complete these exercises--Due 6 September 2019

No Classes (Labor Day: Don't wear white after today?)

**Quiz**: equation of a plane- Quadratic Surfaces (textbook section 12.6)–The links below are to GeoGebra sheets I made for class; play with the parameters to get a feel for quadratic surfaces.
- Vector Functions and Curves in 3-Space (textbook section 13.1)
- Vector function definition
- Limits of vector functions
- Examples

*Homework*:*Read*: Textbook sections 13.1 and 13.2*Do*: Attempt practice problems

- Collected Written Homework 1
- Recap of Vector Functions (textbook section 13.1)
- Calculus of Vector Functions (textbook section 13.2)
- Running Example: Moment Curve
- Properties of the Limit
- Definition and Properties of the Derivative
- Definition and Properties of the Integral

*Homework**Read*: Textbook section 13.3 (with special attention to arc length)*Do*: Attempt practice problems*Study*: Start studying for Midterm 1

- Arc Length of Space Curves (textbook section 13.3)
- Derivation of Formula
- Examples to Computing Arc Length
- Reparametrizing a Curve by Arc Length

*Homework**Do*: Attempt practice problems*Study*: Study (harder?) for Midterm 1

- Motion in Space (textbook section 13.4)
- Problem Session on Vector Functions and Space Curves

**NB**: End material for Midterm 1.*Homework**Do*: Attempt practice problems*Study*: Study for Midterm 1.

Everything past this point is tentative and will be updated as time goes by…

- Multivariable Functions (textbook section 14.1)
- Limits and Continuity of Multivaraible Functions(textbook section 14.2)
*Homework**Study*: Study for Midterm 1.

- Review Session for Midterm 1
- Student Questions Only
*Study*: Study for Midterm 1

**Midterm 1 in Class***Content*: Chapters 12 and 13 (omitting curvature and normal/binormal vectors)

- Derivatives of Multivariable Functions (textbook section 14.3)
*Homework**Read*: Textbook sections 14.1 and 14.2; get started on 14.3

people/grads/eppolito/math323-05_06-f19.txt · Last modified: 2019/09/13 13:30 by eppolito

Except where otherwise noted, content on this wiki is licensed under the following license: CC Attribution-Noncommercial-Share Alike 3.0 Unported