MATH-2414 Calculus II


Juan Molina

Credit Fall 2024


Section(s)

MATH-2414-008 (91584)
LEC TuTh 6:00pm - 7:45pm DIL DLS DIL

Course Requirements

Hardware: You will need a laptop or computer with a video camera and microphone for this course and a reliable broadband wifi connection. The lectures are live online and the tests are proctored live online also. While you might be able to follow the lectures using a tablet or cellphone, but tests will have to be done on a laptop/computer with a dedicated webcam due to the service we are using for testing. For testing, you will be using your cellphone as a propped up camera in addition to the webcam from your computer/laptop.

You can purchase a cellphone tripod for as low as $9 at

https://www.amazon.com/s?k=phone+tripod+stand&crid=2PIH52HBQJ6DO&sprefix=phone+tri%2Caps%2C113&ref=nb_sb_ss_ts-doa-p_2_9

and can have it delivered to your home. Do this the first day of class to have it available when needed.

 

Ipads: Eligible students can check out an iPad from ACC at

https://www.austincc.edu/coronavirus/remote-student-support/ipad-distribution.

If you need support in getting online please visit:

https://www.austincc.edu/coronavirus/remote-student-support

 

Software: We will use the free web graphing program

DESMOS (www.desmos.com) for two dimensional graphs. 

Tutorial for DESMOS - https://www.youtube.com/watch?v=vF2bnk-rOPI

The use of Desmos enhances the understanding of a mathematical idea.  It is required that you have access to some technology that allows you to graph functions and find their zeros.  Graphing calculators are not required for this course and cannot be used on tests. If you need to purchase a calculator, get a normal scientific calculator. You can access free calculator apps and widgets from the internet.  I will require the use of Desmos for graphing for some of the assigned exercises.

 

Instructional Methodology:

 

DLS—Synchronous Virtual Class Meetings Required: Instruction is fully online with required online meetings during the specified days and times listed.

 

This class is fully online during our campus closures due to COVID-19. Successful online students actively participate in class on a regular basis just like in an on-campus class and avoid putting off classwork until the last minute. This includes reading assignments, taking quizzes and tests, and any other activities assigned by your professor. You will need to stay motivated and routinely log in to your classes in order to keep on top of your assignments.

Students will use the Blackboard learning management system for assignment instructions  and collaboration. Students are encouraged to read ACC Distance Education General Information available at https://online.austincc.edu/faq/.

 This course is taught primarily through a lecture format. Lectures are delivered live online through Zoom Meeting in Blackboard. 

 

Course Rationale: This course is the second course in the traditional calculus sequence for mathematics, science and engineering students. It is part of what could be a four-semester sequence in calculus courses. The approach allows the use of technology and the rule of four (topics are presented geometrically, numerically, algebraically, and verbally) to focus on conceptual understanding.  At the same time, it retains the strength of the traditional calculus by exposing the students to the rigor of proofs and the full variety of traditional topics: integration, techniques of integration, applications of integration, infinite series and analytical geometry.

 

Communication With Me: All e-mail communication to students will be sent solely to the your ACCmail account or through Blackboard with the expectation that such communications will be read in a timely fashion.  Likewise, you should use your ACCmail account or Blackboard when communicating with me.  I will respond emails within 3 business days.  Please remind me if I have not responded within that time frame. I will not respond to emails sent from any non-ACC accounts.

 

Email Communication Structure: When sending me an email, label the subject heading as “Math 2414 – 002: Topic”.  Examples of “Topics” include phrases like “Homework Question”, “Test Concern”, “Worksheet #7, exercise 2”, etc.

 

EMAILS WITHOUT THE PROPER SUBJECT HEADING OR FROM A PERSONAL, NON-ACC ACCOUNT WILL NOT BE ANSWERED.

Do not append your emails to mine –always write a new independent email for each new topic.

 

 

BlackBoard (BB):  Most documents for the course, lectures, grades, informational items and announcements will be housed in BlackBoard.  Check Blackboard regularly.

Course Expectations 

  1. Read, become familiar with, and regularly refer to this syllabus.
  2. Read over the assigned section before and/or after we cover that section’s material in class.
  3. Participate in lectures, take notes, and ask questions.
  4. Complete all homework assignments, quizzes, worksheets, and exams.
  5. Check your email on a daily basis.

 

Time and Resources: You develop your mathematical ability by thinking about and working on mathematical problems. This takes time, dedication, and patience.  Allow yourself at least three hours of study for each hour of lecture time.

  

I am available to assist you in problem-solving and to answer your questions. You are encouraged to work with your classmates as well, but make sure you can do the problems independently. 

 

Attendance:  Regular lecture attendance is essential to successfully completing this course. Your final grade will reflect your commitment to attending lectures, asking questions, and completing your work. Regular and punctual class attendance is expected of all students.  If attendance or compliance with other course policies is unsatisfactory, I may withdraw you from the class, although I make no commitment to do so.  I may withdraw a student with 4 absences or more.

 

Lectures:  Lectures are delivered live via Zoom Meetings in Blackboard.  Here are some suggestions to prepare for lectures:

 

  • Be at your computer/laptop/Ipad/cellphone 5 to 10 minutes before the start of class. Your webcam has to be on at all times during lecture.
  • Have a notebook or tablet ready and a pen/pencil/electronic pen.
  • Make sure your camera and microphone are working properly. 
  • Important:  Please mute your microphone when class starts.  You might have to unmute it when asking questions or collaborating with other students when working in groups.
  • I will be taking attendance.
  • You will be able to communicate with me during lecture via raising your hand and/or chat.
  • To keep an efficient process, wait for the person who is talking to finish their statements.
  • I will be asking students questions during lecture.
  • I will upload the lecture notes in pdf format (not a video) to Blackboard (Lecture Notes) the same day of the lecture.
  • Lecture videos will also be available in Zoom Meeting in Blackboard.

 

Attendance:  Regular lecture attendance is essential to successfully completing this course. Your final grade will reflect your commitment to attending lectures, asking questions, and completing your work. Regular and punctual class attendance is expected of all students.  If attendance or compliance with other course policies is unsatisfactory, I may withdraw you from the class, although I make no commitment to do so.  Since the format for the summer is through distance learning, lack of participation will count towards attendance.  I may withdraw a student with 4 or more absences.

 

You will have your webcams on during the duration of the lectures, when answering questions, and collaborating with others in groups.  This is required for attendance. Your microphones and webcams have to work properly at all times. Anyone with an off-webcam for more than 30 minutes during lecture will be counted as absent.

 

 Grading Philosphy:  My grading philosophy stems from the idea that Mathematics is a language and needs to be used and expressed clearly and correctly.  I base my grading on the content, format, and clarity of expression of mathematical ideas. I do not base it on what you were thinking at the time you wrote your work, but what is the final written product in front of me. I do not believe in shortcuts, incomplete statements, or "just the answer" justifies full credit. It is the development of the solution that is important, together with the final correct answer.  My expectations are that you will present the best, most professional version of your work when you submit it, and I will treat it with the same respect. I do not allow sloppy, rushed work that was done in the last minute for I will treat it accordingly.   

As far as the actual grading of your submissions, I consider content, format, presentation, organization, and cleanliness.   I hope this helps understand where I am coming from when I look at your work.

 

Written homework: I assign exercises from the textbook for the written homework assignments. It is uploaded in Gradescope as a single PDF file (no JPEGS, PNG, Tiff, etc. formats).  It is graded for completeness, organization, and cleanliness. Written homework assignments which are late one day lose 20% (can get at most 80%) of the grade, two days late get a grade of 0.

 

Worksheets: There will be at least one worksheets due each week. They are uploaded the same way as the written homework assignments through gradescope. Each worksheet will have several exercises, but I grade only two from each worksheet. However, you get solutions for all the exercises. No late worksheets allowed.

 

Submission of Written Homework and Worksheets:  You will take clear pictures of each page of your work and use a mobile application to convert all of those to ONE SINGLE PDF file.  Alternatively, if you have access to a scanner, just scan your work.  Make sure you submit it as ONE SINGLE PDF file.  One of the best apps for doing this, if you do not own a scanner is GeniusScan (https://thegrizzlylabs.com/genius-scan/)

 

Format for all Work  (Anything You Turn In to Me)

Follow the “Format for All Submitted Work” below for all submitted work.  If you do not follow these guidelines, worksheets/tests will be not be accepted and not graded.  NO LATE Homework or Worksheets – NO EXCEPTIONS. YOUR SOLUTIONS SHOULD BE YOUR MOST PROFESSIONAL WORK – DO NOT TURN IN DRAFTS OR HASTILY DONE WORK. 

 

Any submitted work not following these guidelines will either not be accepted and/or will get no credit.

 

For all work…

  • Do NOT write on the original worksheet.
  • NEW EXERCISE SECTIONS OF THE HOMEWORK AND EACH NEW EXERCISE FROM A WORKSHEET BEGIN AT THE TOP OF A NEW PAGE. NO MULTIPLE COLUMN FORMAT – WRITE EACH NEW SOLUTION LINE BELOW THE PREVIOUS ONE. AN EXERCISE COULD TAKE MORE THAN ONE PAGE AND THAT IS OK.
  • Headings need to be clear (Worksheet #XX, Review for Test #, etc.).
  • Label each exercise clearly.  
  • Write each new exercise BELOW the previous one – no two column worksheets. 
  • Answers and no work get no credit.  SHOW ALL WORK.  No work shown is equivalent to work that is not complete.  Work and no conclusion gets no credit.
  • Disorganized work that is sloppy will not be accepted.
  • No ripped or crumpled pages or pages stained with food or coffee.
  • Any work you submit is your best and final version.  No FIRST drafts or scratch-paper work.
  • Use 8.5x11in paper.
  • NO EXCEPTIONS

 

Testing

 

There will be a total of 4 online timed tests in the course, during lecture through Zoom. The last test is a comprehensive final over the material for the whole course.  The final, if higher replaces the lowest of the other test scores. The final exam does not replace missing test grades or tests with a grade of zero.  No retests or make up exams. All worksheets/ homework should be finished and turned in before you take any of the exams. No early or late testing.  The final exam is during the last lecture of the semester – Do NOT schedule trips, appointments, etc. during class for that week. Same for all other tests.

 

Regarding the tests:

  • You need to have a functioning webcam and microphone.
  • You will be using your cell-phone as a propped-up camera on a tripod.
  • No notes or open textbook.  The only items you need for the test are pen/pencil, paper, and a personal scientific calculator (non-graphing). You will not be allowed to use any computer software, phones, or windows calculators for computations during the tests.
  • Start each new exercise solution at the beginning of a new blank, white sheet of paper and only write on one side.  It makes it easier to grade and easier for you to check your work. You will give additional time, usually 5 minutes, to upload the test solutions on Gradescope. 
  • You will upload the tests in the same manner as the worksheets and written homework assignments.  As single PDF file.
  • NO IPADS or Chromebooks when taking the test.

 

Students with an official letter of accommodations from SAS need to schedule their tests through the SAS office at least 5 days in advance.  They need to schedule it to start at the same time as the regular testing window.

 

Gradescope:

We will be using Gradescope for worksheet and test submissions.  For videos on how to use it and for uploading your work, follow the link

 

 

In Gradescope you can:

  • Submit homework/tests online for grading within Gradescope.
  • View feedback and scores on Gradescope-graded work.

 

 

IMPORTANT:  Be honest, since cheating, or suspicion of cheating on a test or any work you submit could imply an automatic F in the course and reporting the student to the Dean of Students for further penalties. 

 

Grades

Here are the minimum requirements to get at least a D in the course:

  • Complete at least 75% of the homework assignments, and
  • Complete at least 75% of the worksheets, and
  • the final grade in the course is at least 60%

 

Once all the 3 conditions above are satisfied, computation of the final grade and final letter grade in the course is computed as follows:

 

 

Homework                                                          5%

Worksheets                                                        10%

Test 1                                                                  20%

Test 2                                                                  20%

Test 3                                                                  20%

Final                                                                    25%

 

Grades - A: 90 – 100; B:80 – 89; C:70-79; D:60-69; F:0-59

 

Students who do not satisfy one or more of the 3 conditions above will not pass the course.

 

Students who do not comply with the attendance policies or lacking progress may be withdrawn from the course.


Readings

Required Textbook and Materials: Text: Calculus: Early Transcendentals, 3rd ed., by Briggs/Cochran/et al 2019. This is the text included in the First Day Access for students.

Hard copy: Not required but you can order it.

ISBN-13: 978-0134765631


Course Subjects

Course Calendar/Outline

Schedule changes, including test dates, may occur during the semester and will be announced during lecture”.

Final withdrawal date: Thursday, November 21.  Neither the student nor the instructor can re-instate or withdraw the student after the withdrawal date.

 

Dates

Week

Sections to Cover

08/26 – 09/01

1

 

Introduction - 6.1 

6.2 Regions Between Curves

6.3 Volume by Slicing

6.4 Volume by Shells

09/02 – 09/08

2

 

6.5 Length of Curves

6.7 Physical Applications 

09/09 – 09/15

3

 

6.7 Physical Applications 

8.1 Basic Approaches

8.2 Integration by Parts

09/16 – 09/22

4

 

8.3 Trigonometric Integrals

Test 1

8.4 Trigonometric Substitutions

09/23 – 09/29

5

 

8.5 Partial Fractions

8.6 Integration Strategies(**-assign but don’t cover)

8.7 Other Methods of Integration

09/30 – 10/06

8.8 Numerical Integration

8.9 Improper Integrals

10/07 – 10/13

7

 

10.1 An Overview 10.2 Sequences

10.3 Infinite Series

Test 2

10/14 – 10/20

8

 

10.4 The Divergence and Integral Tests

10.5 Comparison Tests

10/21 – 10/27

 9

10.6 Alternating Series

10.7 The Ratio and Root Tests 

10/28 – 11/03

10 

10.8 Choosing a Convergence

11/04 – 11/10

11

11.1 Approximating Functions with Polynomials

11.2 Properties of Power Series

Test 3

11/11 – 11/17

12

11.3 Taylor Series

11.4 Working with Taylor Series

11/18 – 11/24

13

9.1 Basic Ideas

9.2 Direction Fields and Euler’s Mehod

11/25 – 12/01

14

9.3 Separable Differential Equations

12.1 Parametric Equations

12/02 - 12/08

15

12.2 Polar Coordinates

12.3 Calculus in Polar Coordinates

12/09 – 12/15

16

Final Exam (Comprehensive)

 

 Last day to withdraw: November 21, Thursday

Holidays: Monday, September 2; Monday, November 11; Wednesday, November 27 at noon through Sunday, December 1.

(Please note these are the ONLY holidays this semester.)


Student Learning Outcomes/Learning Objectives

Learning Outcomes (COURSE OBJECTIVES)

Upon successful completion of this course, students will:

  1. Use the concepts of definite integrals to solve problems involving area, volume, work, and other physical applications.
  2. Use substitution, integration by parts, trigonometric substitution, partial fractions, and tables of antiderivatives to evaluate definite and indefinite integrals.
  3. Define an improper integral.
  4. Apply the concepts of limits, convergence, and divergence to evaluate some classes of improper integrals.
  5. Determine convergence or divergence of sequences and series.
  6. Use Taylor and MacLaurin series to represent functions.
  7. Use Taylor or MacLaurin series to integrate functions not integrable by conventional methods.
  8. Use the concept of polar coordinates to find areas, lengths of curves, and representations of conic sections.

 

The General Education Competency of:

    1. Critical Thinking: gathering, analyzing, synthesizing, evaluating and applying information is covered in every SLO. 
    2. Quantitative and Empirical Reasoning: applying mathematical, logical, and scientific principles and methods is covered in every SLO.
    3. Technology Skills: using appropriate technology to retrieve, manage, analyze, and present information is covered in every SLO.
    4. Written, Oral and Visual Communication: communicating effectively adapting to purpose, structure, audience and medium is covered in every SLO. 

 

 


Office Hours

M W 11:50 AM - 12:20 PM HLC 1423.05

NOTE These are office hours for differential equations students only - will hold them most likely in the classroom

M W 7:25 AM - 8:10 AM HLC 1423.05 or in the classroom

NOTE These are office hours for Math 2415 students only - will hold them most likely in the classroom

T Th 7:45 PM - 8:30 PM Virtual via Zoom for Blackboard

NOTE These are office hours for Math 2414 students only

T Th 8:30 AM - 9:00 AM Virtual via Blackboard Zoom

NOTE These are office hours for Math 2413 students only

Published: 08/22/2024 16:54:11