User Tools

Site Tools


people:mckenzie:math224

CONTINUATION OF MATH 223/224 INTRODUCTION TO CALCULUS/DIFFERENTIAL CALCULUS


See Math 224 Director's page for syllabus, old exams, and so on.

Also there you will find Math 224 weekly schedule of topics

I will assign Exercises in Calculus, Stewart, 9th ed. in addition to WebAssignments.

Sometimes I will collect a few!


WEEK 9/10 Oct 22-29


Fri Oct 22-Sun Oct 24 Read Sections 1.8 (intermediate value theorem) and 1.4 in Stewart Calculus e-book

Mon Oct 25-Wed Oct 27

  • Continue readings in Sections 2.1 and 2.2 (derivatives; derivatives as a function)
  • 8-O WebAssign schedule

The WA schedule is here for you to see easily. I want to avoid requests for extensions throughout the week.

CLASS WARMUP: Sec 1.4 Tuesday Oct 26, 8 AM

CLASS WARMUP: Sec 2.1 Wednesday Oct 27, 8 AM

CLASS WARMUP: Sec 2.3 Friday Oct 29 8 AM

Sec 2.2: Saturday Oct 30 11:59 PM


In case you didn't see the home page or the email, Math 224 are T/Th 1-3 at Office hours zoom link


Wed Oct 27-Fri Oct 29


Here is a collection of videos that show how to determine the equation of the line tangent to a function f(x) at a given point via the definition of derivative to get the slope and the point-slope form of the line to get the eqn. Watch as many as you need to:

Ex 1, Ex 2, Ex 3, Ex 4

:-D Finally, the flip learning videos (mine, not Stewart's) to help with the Sec 2.3 WebAssign, watch The basic rules for derivatives and Power rule examples


HALLOWE'EN WEEKEND EXERCISES, READING AND VIDEOS


Proof of quotient rule as welll as Product rule examples, Quotient rule examples

  • Sec 2.3 Exercises #1-49 every other odd (#1, 5, 9, 13, etc.), some of which you are not to use product or quotient rules, but instead to change the form as we did in Friday's class so the power rule is all that is needed) and #59, 63, 67, 83, 87 (I will go over these in class if you ask)
  • WebAssign Schedule:

Sec 2.2 Saturday Oct 30 11:59 PM (repeating reminder here)

CLASS WARMUP Sec 2.4 Monday Nov 1 08:00 AM

  • 8-) Quiz Wednesday, through Sec 2.4

WEEK 11 Nov 1-Nov 5


View Squeeze theorem

Today's lecture on zoom [Note, by yesterday I hadn't assigned Sec 2.4 exercises, so ignore my comment asking if you had any questions]

QUIZ 1 ON WEDNESDAY covers Sec 2.1 to 2.4: Determine derivative from the definition, properties and rule, power rule shortcut, product and quotient rules, derivatives of the sine, cosine and tangent fcns

Do a bunch of the odd numbered exercises in Stewart Sec 2.4. I'll be more specific later.

Do next scheduled WebAssigns

Friday Nov 5-Sunday Nov 7

  • Read Sec. 2.6 Implicit differentiation and view Video 2.6a
  • Read Sec. 2.7 Rates of change in science + related rates and view Videos 2.7a and 2.7b
  • Basic Skills Test begins on Nov 8
  • Essential exercises in Stewart so far to help prepare you for upcoming Exam 1 and Skills Test:

Sec 2.4 p 154 #3, 7, 8, 13, 16, 23, 25, 39, 35, 37, 41, 45 (try also #47, 51)

Sec 2.5 p 162 #1, 3, 5, 9, 16, 18, 21, 34, 37, 45, 53, 51, 67

Sec 2.6 p 169 #3, 4 7, 11, 17, 21, 25, 29, 31, 39 (try #41)


WEEK 12 Nov 8-Nov 12


  • See e-book exercises I posted over the weekend; have questions to go over in class
  • Implicit differentiation lets us find dy/dx even when y cannot be expressed as an explicit function of x (or other relevant IROC, such as a related rate)

Watch Video 2.6 Implicit Differentiation, and from my collection: Implicit differentiation (ID) and More ID examples

  • Now try the examples I posted on the weekend: Sec 2.6 p 169 #3, 4 7, 11, 17, 21, 25, 29, 31, 39 (try #41)
  • Next WebAssigns: Sec 2.8 Wed Nov 10 11:59 pm
  • Basic Skills Test 1 began today, Nov 8; you have till Tues Nov 23 to take your 2nd and 3rd attempts covering limits, continuity, and differentiation formulas
  • m( Do Webassign 'FOR PRACTICE ONLY' Secs. 1.4, 2.1, 2.3-2.8 – especially Secs. 2.7 AND 2.8, as I might not get Stewart exercises from these sections listed

Weekend before exam 1


WEEK 13 Nov 15-19


Mon-Tues Read Sec 2.9, linear approximation (the important corollary to genesis and meaning of derivative)

Watch the Videos 2.9a and 2.9b therein and whatever else I post

Do WA Warm-up Sec 2.9 (see WA site for date and time, which I extended)

Wed-Thurs Read Sec 3.1, max/min values and watch Videos 3.1a and 3.1b and any mini-videos I'll add

Fri-Sun :-P View this: Best video for linear approximation and differentials

  • Do e-book exercises Sec. 2.9 #1-3, 7, 13, 17 and Sec. 3.1 #1, 3, 9, 11, 17, 18, 31, 35, 41, 45, 51, 59
  • 8-O Skipping Sec 3.2
  • Read Sec 3.3, videos therein
  • WebAssign as scheduled
  • Open notebook quiz – short (after we go over the Sec 3.1 assigned exercises) on Sec 3.1
  • Please have any questions for me to address in class on anything since exam

Mon Nov 22 - Sun Nov 28 THANKSGIVING BREAK WEEK

  • =) Finding the critical numbers of a function is the first step to finding the signs of the first and second on an interval, to determine where a fcn is increasing or decreasing, hence the nature of its local extremes (max, min, neither), intervals of concavity, and points of inflection. The videos explain and give many examples of how to use the FDT and SDT, showing relevant examples done neatly and clearly.

Finding critical numbers of a fcn

Finding absolute extrema of f(x) on a closed interval

Finding intervals where f(x) increases and decreases

Determine local extrema of f(x) using first derivative test (FDT)

Determine local extrema of f(x) using second derivative test (SDT)

The function we did in class today, f(x) = x + 1/x, examined for extrema using FDT and SDT

* Bulletin: Mean value theorem/Rolle's theorem are NOT on the final; they show up in Math 225; but finding c such that f' = 0, is the skill needed to find critical numbers so reviewing it in the guise of Rolle's thm is great practice. The algebra is probably most people's difficulty. I am making up a worksheet that tackles the usual trouble spots in solving all kinds of equations for their zeros.

TUESDAY ZOOM OFFICE HOURS To save time traveling today and parking in the cold, let's meet here at around 1:30 to 3:00

Tuesday's Zoom office hours

people/mckenzie/math224.txt · Last modified: 2021/11/23 10:09 by mckenzie