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people:mckenzie:math223

WELCOME TO MATH 223/224 INTRODUCTION TO CALCULUS/DIFFERENTIAL CALCULUS

See Math 223/224 Director's page for syllabus with grade policy and distribution of points to tests, quizzes/take-home assignments, participation, and WebAssign.

To create your WebAssign account, go to Cengage log in and register. Our class key is BINGHAMTON07007209

The e-book for Stewart's *Precalculus 7e* and *Calculus 9e* are found on the main student page in Cengage. Readings from both will be assigned; most problem sets will come from *Calculus*.

Exercises in *Precalculus*, Stewart, 7th ed. are to do *in addition* to the WebAssign. If they are listed it's because they focus on the skills you should have. Ask in class about any you have difficulty with.

Each week I'll desk check and sometimes collect a selection of these exercises. I'll let you know in the preceding class when I do this.

WEEK 1 AUG 24-26

Summary of assignments for first week – if an exercise gives you trouble, rest assured we'll cover them in class. These early exercises give me a broad idea of how familiar you are with fundamentals.

Exercises are to be done in a separate part of your notes. It's up to you to do them, and to have questions ready to ask in class. I will tell you ahead of time when I plan to collect a set.

**Wednesday**

- Watch Real numbers
- Read Appendix A in
*Calculus* - In Appendix A, do #1, 5, 8, 10, 11, 25, 31, 43, 45, 49, 51
- Do WebAssign warmup (you have free access until Sept 7)

**Friday to Sunday**

- View Dr Kazmierczak's
*required videos*and read the corresponding sections in*Precalulus*e-book:

Lines Sec 1.10 Coordinate plane; graphs of equations; circles Sec 1.9

- Helpful internet mini-videos on solving inequalities:

Video 1 Video 2 Video 3 Video 4

- In
*Precalculus*e-book, do Exercises Sec 1.8 #16, 18, 22, 32, 38, 47, 52, 60, 65, 79, 81, 97, 99, 113, 119 (Monday desk check only)

Go to Cengage unlimited for info on purchasing and renting the book

WEEK 2 Aug 29-Sept 2

WA schedule with some extensions to help those just getting into WA:

- By Tuesday night, Appendix A and Warm-up Appendix C
- By Wednesday, class time, Appendix B and Warm-up Sec 1.1
- By Friday, class time, Warm-up Sec 1.2
- By Friday before midnight, App C

—-

**Monday-Tuesday**

- Do in
*Precalulus*: Sec 1.10 (lines): #3-8 (short answer), 25, 29, 35, 37, 47, 59, 67, 77 - Do in
*Precalulus*: Sec 1.9 (coordinate plane, circles) #7, 15, 16, 25, 85, 89, 91, 95* (we can do it in class), 99, 103 - View Dr Kaz's videos, read corresponding sections in
*Precalulus*e-book:

Rational expressions & domain Sec 1.4

Getting information from a graph Sec 2.3

Transformations of functions Sec 2.6

**Wednesday-Thursday**

- Read in
*Calculus*e-book, Secs 1.1 & 1.2 - Do in
*Calculus*: Sec 1.1 (Four ways to represent functions) #39, 41, 47, 51, 53, 56 (important piecewise function), 65, 70, 81, 83, 85 - Read Sec 1.2 (Mathematical models/essential fcns) #1, 4, 17, 21, 27, 28
*Study Table 3*: Essential fcns & their graphs (know how to sketch from memory by midterm)- Here are my own Essential fcn sketches with domains & short video to accompany it: Domain & range of 9 basic fcns
- Summary of Stewart exercises so far:
*Precalulus*Secs 1.8, 1.0, 1.10, &*Calculus*Secs 1.1, 1.2

Without fail, on Friday I'll do a desk check of these

LABOR DAY WEEKEND

**Before Tues lecture**

- If you need more on domain, view Domain of rational and root functions
- Everyone view Odd and even functions
- Read in
*Calculus*, Sec 1.3 On fcn transformations - View Kazmierczak videos Fcn transformations (shifts) & Fcn transformations (reflections, stretches, and compressions)

WEEK 3 SEPT 6-9

WebAssigns due this week:

- Class warmup Sec 1.3, due Tuesday night 9/6
- Sec 1.1, due Wednesday night 9/7
- Class warmup Dividing polynomials and factoring, due Thursday morning 9/8
- Sec 1.2, due Thursday night 9/8
- Class warmup App D, due Friday 9/9 before class, Sec 1.3, due Friday night

**Tuesday**

The second half of lecture today kind of fell short, in that I didn't take the time to do more combined transformations. So … I'll be adding some notes to the lecture notes and inserting them as before. And I will embellish the intro to polynomials.

Polynomial hw has been moved to Thursday night. Catch up on WebAssign.

* On the last page of Lecture notes Week 2 I've described the domains of the four composite functions. Express these in interval notation and hand in tomorrow. It's not an involved exercise!

- Kazmierczak videos Dividing polynomials & Real zeros of polynomials

**Wednesday-Thursday**

- Do exercises in
*Precalculus*Sec 2.6 #7-51 odd (mainly short answer), 59, 63, 65, 69, 83-89 odd - Do exercises in
*Precalculus*Sec 3.3 (dividing polynomials): #4 (can't do it with synthetic in the form it's in) 13, 17, 23, 27, 31, 39, 57, 63 - Kazmierczak videos for Friday: Trigonometry of right angles, Unit circle

**Friday** First trigonometry lecture

WEEKEND SEPT 10-11

- Read App D in
*Calculus**and for greater detail*see*Precalulus*Secs. 5.1-2, 6.1-3 - Do Exercises in
*Precalculus*Sec 3.4 (real zeros of polynomials): #1, 5, 9, 11, 17, 31, 55, 61 - Kaz video Trig fcns of real numbers
- Trig exercises to start: Sec 5.1: #1, 5, 13, 17, 19, 25, 29, 47, 51 and Sec 5.2: 5-21 odd, 27-35 odd

WebAssigns due next (I've been generous with extensions of older function material, get them done)

- CLASS WARMUP: Section 1.1 due Saturday night
- Dividing Polynomials and Factoring due Monday night
- Section 1.3 (Part 2) due Monday night Appendix D (Trigonometry)
- Math 223 Midterm Review (not graded) Definitely do it by Wed class time

WEEK 4 Sept 12-16

**Monday** New trig and review for Friday's midterm

- Watch Unit circle video
- UNIT CIRCLE ART HW GRADE! Create a unit circle
*to bring to class on Wednesday*. Use a jar lid or compass to make an accurate circle and use a straight edge to make the lines. Prefer blank or copy paper to lined. - Short trig quiz on Wednesday (using unit circle you create)
- Finish up Sec 5.1 and 5.2 exercises

**Trigonometry exercises for the rest of the week**

- Textbook exercises in
*Calculus*App. D #1, 5-11 odd, 19, 23-33 odd, 65-71 odd, 83-87 odd - Nutley H.S. solving trig eqns worksheet #1-10 (focus on sine, cosine, tangent)

Here's Practice trig quiz 1. Graphs are not on the quiz tomorrow, but an ability to render a graph is needed to both understand inverse functions next week and to draw trig transformations on the final).

Some of the questions here on the Previous midterm Fall 2015 and Solutions are not in our list, some are. Do the WebAssign midterm review and of course see exercises I have listed.

**Midterm topics**: Absolute value inequalities, quadratic or rational inequalities; write parabola or circle in standard (h,k) form to determine features and be able to graph result; transformations of essential functions and intercepts; polynomial stuff; trigonometry part 1 (anything we have done, including solving a simple trig eqn (Nutley HS).

Watch the Office hour video!. You can see some of the more recent midterm questions here, the one I can't post but did cover many items from in class and a couple here.

**Friday** Midterm, no lecture

—- WEEKEND SEPT 17-18

- In
*Precalculus*do Sec 6.1 Exercises #53-69 odd with arc length s = (theta)®; sector area = (r²)(theta/2) - In
*Precalculus*read Sec 2.8 (inverse fcns), Sec 5.5 (graphs of inverse trigonometric functions), and Sec 6.4 (evaluating inverse trig fcns) - View Kaz videos:

WEEK 5 Sept 19-23

**Monday**

- First go back and do the weekend viewing; then do the arc length and sector area problems – I will post my own short video on this, as I never got a chance to talk about it in class
- In
*Calculus*read Sec 6.1*up to p 415 (skip the end of this section on derivatives!)* - Sec 6.1 #17-29 odd, #37, 39
- In
*Calculus*read Sec 6.6 to p 489 (skip limits!) *Try these inverse trig evaluations*in Sec 6.6 #1-9 odd

Here’s my Arc length and sector area video

**Wednesday**

- View Kazmierczak
*mini-videos*(total viewing time is under 9 minutes!):

**To hand in by email by Friday 3 pm** from Nutley High School worksheet, #13, 15, and 16; be sure to show your complete work!

**FRIDAY WE WILL MEET REMOTELY AT THE ZOOM LINK**

Friday's quiz moved to Wednesday when we return. 5 questions total, 3 topics:

1. Determine if a fcn is even, odd, or neither using definitions 2. Find inverse of non-trigonometric fcn and graph the two fcns on one plane 3. Do three inverse trig function calculations, including a composition

**WEEKEND SEPT 25**

Office hour questions on inverse trig fcns with Rui

Do these *Calculus* textbook exercises for Wednesday:

Trigonometry: Sec 6.6, #1-13 odd Inverse fcns: Sec 6.1 #7-13 odd, 25-29 odd Log and exp fcns: Sec. 6.2 #7, 9, 17; Sec. 6.3 #3-7 odd, 15, 17, 21, 23

WEEK 6 SEPT 28-30

**Wednesday** Do these *Calculus* textbook exercises for Friday:

Sec 6.2* #1, 3, 7, 9; Sec 6.3* #3, 5 (leave in e or ln form), 17, 21, 23; Sec 6.4* #1, 3, 7, 9

people/mckenzie/math223.txt · Last modified: 2022/09/25 23:23 by mckenzie

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