MA308 (CM20) A - Calculus&Analytical Geometry III

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Course Title: MA308(A) Calculus and Analytic Geometry III

 

Credit Hours: 5

 

Semester: Fall 2020

 

Course Description:

The calculus of several variables, solid analytic geometry, and series.

https://clas-catalog.centralmethodist.edu/Mathematics/MA308%20-%20Calculus%20and%20Analytic%20Geometry\20III.html

 

Prerequisite(s):

MA209 & Calculus and Analytical Geometry II


Course Schedule: The regular class schedule is

Stedman 305 

Monday, Wednesday, Friday 9:00 - 9:50 am 
Thursday  9:00 - 10:50 am

CLASS ANNOUNCEMENTS AND COMMUNICATION

On occasion it will be necessary to cancel a class unexpectedly due to weather, illness, or other life situation. Students will be informed of any cancelations.

 

Course Interface:

This course meets face-to-face.

All class sessions will be conducted live on Zoom and recorded for those who are unable to meet in person. The recordings will be accessible through myCMU.

 

Remote vs. Face-to-Face Policy


Generally, the expectations for completing assignments are exactly the same for remote students as they are for face-to-face students. Remote students will still need to log in to Zoom in order to participate in class, which includes taking quizzes and tests.

 

Zoom Login
I and the rest of the class will benefit from your presence. If you are unable to attend face-to-face, you should attend by logging in to the class Zoom meeting.

Zoom Link: https://centralmethodist.zoom.us/j/99848926397

Meeting ID: 998 4892 6397

How to join the Zoom meeting:

  • Click the link: https://centralmethodist.zoom.us/j/99848926397
  • If you have not already downloaded Zoom to your device, then clicking the link above will open a prompt for you to download Zoom (FREE).
  • Once Zoom is on your device, clicking the link above will bring you directly into the Zoom meeting.
  • Alternatively, you can open Zoom and click JOIN MEETING.
  • Then enter the class meeting ID: 998 4892 6397.

 

Tech Norms for Virtual Collaborative Work (Taken from UT Dana Center Mathematics Pathways)

Mute audio line when not talking.

  • Click “Participants” if you want to:
    • Rename your image (Hover over your name and click Rename.)
    • Raise your hand, etc.
  • Use the “chat” feature when you have additional remarks to add but the conversation has moved on
  • Speak clearly
  • Join a breakout room when you are invited to it.
  • When possible:
    • Select “start video” (especially when in breakout groups.
    • Minimize background distractions.

  •  

myCMU:

Course materials will be posted to myCMU, which is accessed by https://compass.centralmethodist.edu/ics/.

Students login and use their student ID number for their username. You may obtain your login information by contacting the CMU Technology Helpdesk: https://www.centralmethodist.edu/about/offices/technology-services/helpdesk-request.php

 

MyOpenMath Login
Online assignments and other supplemental material can be found in MyOpenMath, a free online learning platform.

  • Click the following link: https://www.myopenmath.com/index.php
  • In the Login Box, click REGISTER AS A NEW STUDENT
  • Fill out the form and enter the following:
    • Course ID: 79556
    • Enrollment Key: ma308fa20kenefake

 

Required Materials

Here is a list of materials you will need for the course.

 

Textbook

Strang, Gilbert, and Edwin “Jed” Herman. Calculus Volume 3. OpenStax, 2016, OpenStax, \url{https://openstax.org/books/calculus-volume-3/pages/1-introduction}. Access for free at

https://openstax.org/books/calculus-volume-3/pages/1-introduction.

 

Technology Requirements

Computer: This course requires a laptop, tablet, or personal computer that can access the internet for the online homework. The iPad is sufficient for this.

Internet Access: Make sure you have reliable internet access and a backup plan for when your primary internet connection fails.

MyOpenMath: Homework will be assigned in https://www.myopenmath.com/index.php, a free online homework platform.

Calculator: We will mostly use free online calculators for our work. A handheld calculator is not required. 

 

Course Content

The content of the course will be covered in four units:

Unit 1: Vectors and Equations in Space

Unit 2: Vector-valued Functions and Curvature

Unit 3: Derivatives and Optimization of Multi-variable Functions

Unit 4: Multiple Integration

 

Lecture Notes: Notes that cover the course content will be provided on myCMU. These notes outline the main topics of the course.

 

COURSE SPECIFIC LEARNING OUTCOMES:

Upon successful completion of this course, students will:

  • Calculate the distance between a point and a plane.
  • Explain the meaning of curvature and apply formulas for curvature.
  • Use the method of Lagrange multipliers to solve optimization problems.
  • Compute double integrals in polar coordinates and triple integrals in cylindrical and spherical coordinates.