Please see UM official public homepage of Math 115, Student Guide

Introduction

Welcome to this collection of Stories.

  • I read the Name of this course as Miraculus-1.
  • I am taking this course because I do not know one thing about Calculus.
  • To get 1 thing about Calculus, I will make a bridge and then let fall complete the rest.
  • Live document.
  • Please feel free to send questions , thoughts by filling the Anonymous Feedback form.

Course Policy

  • Syllabus: I.
    • D.
    • VarID.
    • Integration. Different forms in Modules.
  • Learning Component (12% = 3% + 3% + 6%)
    • Quizzes (3%): Wednesday in class.
    • Team Homework (3%): Teams are to jointly create a Google Doc or other document to submit, with every student contributing.  Google Docs allow text, equations, tables, and images, for example to include any handwritten calculations or graphs, or graphs from Desmos. Each team will have one Editor: The editor is responsible for ensuring that the document is complete, well-explained, and proofread, delegating tasks as appropriate, and for submitting the single final version of the homework to be handed in. This is the only set of solutions which will be accepted or graded. Each member of the group will receive the same grade as long as they work with the team. Students who do NOT participate will receive a zero.  We will have ~5 assignments, and you will have ~1.5 weeks to work on each assignment. Good practice of working together in a team and presenting is necessary. Penalty: Negative grade for not participating. Exams contain one or more team homework look-alike problems.Web homework (6%): prepwork, homework based on reading and video content provided to you. Avail
    • Web homework (6%): prepwork and homework based on reading and video content provided to you. Good practice of working together in a team and presenting necessary for any profession. Penalty: Negative grade Exams contain at least one team homework look alike problem. Available on WeBWorK. Please select section 006 on the linked site.

  • Assessment (88%)

    • Midterm Exams (55% = 25% + 30%): Two Midterms. All students take the exams at the same time. No calculators are allowed for the midterm exams. The exams will not require any use of them.

    • Master Assessment (33% = 5% + 10% + 18%): This time instead of a final exam, we will have students Master Assessments. Derivative Mastery, Integral Mastery and Final Mastery. Available on WeBWorK . Graded online, multiple attempts allowed (2ice per day) over a week or two. Between the two midterm exams Derivatives, rules. Next, post the second exam (after Thanksgiving).

    Accomodations for Students with Disabilities (SSD forms)

    • Accommodations for Students with Disabilities: If you think you need an accommodation for a disability, please let me know as soon as possible. In particular, a Verified Individualized Services and Accommodations (VISA) form must be provided to your instructor at least two weeks prior to the need for a test/quiz accommodation. The Services for Students with Disabilities (SSD) Office (G664 Haven Hall) issues VISA forms. Student Mental Health and Wellbeing: University of Michigan is committed to advancing the mental health and wellbeing of its students. If you or someone you know is feeling overwhelmed, depressed, and/or in need of support, services are available. For help, contact Counseling and Psychological Services (CAPS) at (734) 764-8312  during and after hours, on weekends and holidays, or through its counselors physically located in schools on both North and Central Campus. You may also consult University Health Service (UHS) at (734) 764-8320, or for alcohol or drug concerns, see AOD Resources. Form for Extra time on exams is provided by the Course coordinator. Talk to your academic advisor for issues related to other courses.

  • Form for Extra time on exams provided by the Course coordinator.

  • Talk to your academic advisor for issues related to other courses.

Notes

  • Notes keep updating as the course proceeds.

Exam Dates

  • Short Quiz every week at the start of class on Wednesday, this will be corrected and returned to you every week by the next session.
  • Midterm 1: Oct 5. Correction will be done in the next two days.
  • Master Assessment
  • Midterm 2: Nov 9. Correction will be done in the next two days.
  • Master Assessment

Section 006

  • Meet & Drive
    • D Class (M/W/F 8:30-10am) Zoom Meeting link is: Math115-006 (https://umich.zoom.us/j/92560182048)
    • D Office Hours (Monday 10-11am, Wed 10-11am, 11am-12pm (Math Lab Hour)) Zoom Meeting link is: Office Hours (https://umich.zoom.us/j/6625517853), Math Lab Hour 
    • D Google Drive folder: Math115 (https://drive.google.com/drive/folders/1rIp-5NphuWZMAh38IZouqgEpPqYBjALq?usp=sharing)
    • In particular, the Live Document, Jamboard (https://jamboard.google.com/d/1b_OtjQrw2eiostqvrLu03-cfwknlnT4Tb4xrrpP_UkA/edit?usp=sharing).

Class: Zoom-meet-1 : Introductions

  • Life is a lesson in communication. Communication is introducting Identity. Communication is two ways.
    • Name, Location, One thing
    • Name-Location-One
    • Name: First-Middle-Last
    • I-Id-Identity
    • Communication: 0-Explore-1
    • Mathematics-as-Child
    • Calculus: Differential-Function-Integral
    • Games: Qualifiers-Middle-Final
    • Practice-Repeat-Practice!

    • Alright-Alright-Alright

    • Sets: Point1-Collect-Point2
    • { }
    • { x x }
    • { x , y }
    • Collection0-Map-Collection1
    • Relations: X-(x,y)-Y
    • Functions: Sets-with-Rule
    • x-function-f(x)
    • x name-function-one value
    • n variables-Sum-Mean Valuen
    • {x1, x2 , x3…, xn}-{x1+ x2 + x3 +…+ xn}- Mean n
    • Functions-give-one meaning
    • {m, m2 , m3…, mn}-{m1R+ m2 R2+…+ mnRn}- Centre of Mass Mean of mass n
    • Vertices of n-polygon-Radial Lines- Centre of Polygon
    • Domain-Map-Range
    • Root-Line-Intercept

Class: Zoom-meet-2 : Party of Functions

Rule of Four : Read in between the lines. It is just one thing! Multiple Identities representing one thing, communicate with each other.

(Name) Symbolic- (Geo)Graphical - NumericalValue All of which is Verbal!

Exponential function is one whose rate of increase is itself, making it an expressly fast increasing function. It composes all the polynomials together.

Class: Zoom-meet-3 : Birth of Functions

How to make new functions from old? Rename. Recycle.

  • Transforming Domain
  • Transforming Range
  • Composition (gives rise to notion of inverses)
  • Reflections and rotations (give rise to notion of odd and even functions)

References:

-Extra

Further Reading (beyond the scope of this course):