1152Q — Schedule

Welcome to Math 1152Q: Honors Calculus II, this Fall 2018!

Today is .

Actual Schedule

See also UConn Calendar for Fall 2018 for important deadlines and other dates.

Office hours

CURRENT: Week 15 (Dec 3 – 7)

Tue
- Due HW Sec 10.4 Areas in polar coordinates HW questions, see answer key and step-by-step explanations for certain problems, light blue packet
- HW (not collected) Do page 3 (copy from textbook example) and page 7 exercises from Notes 9.3 Separable Differential Equations, use your own paper if you need more space
TH
- Fact sheet, will be printed for you
- Exam 3 Practice, see key, ignore questions about orthogonal trajectories
Fri group mini exam
- Each group is allowed one laptop (for using Desmos and other computing tools) and a fact sheet
- Practice exercises involving the following:
  - solving separable differential equations (Sec 9.3), not from salt mixture and population growth models
  - converting between Cartesian and polar (Sec 10.3), then computing the area or a region using polar coordinates and an integral (Sec 10.4)
  - definition of Taylor series and using Table 1 (Sec 11.10), not approximation questions

Handed out:

Tue
- Notes 11.11 application of taylor polynomials from 1132 team, see explanation for problem 2

Past: Week 14 ( Nov 26 – 30)

Tue
- Due Quiz from Week 12
TH
- Due HW Sec 10.3 polar coordinates Complete each question by hand. Pink packet.
- Due Upload your shared Desmos link on HuskyCT polar graphing activity
Fri
- Recommended: start doing HW Sec 10.4 Areas in polar coordinates HW questions, see answer key due next week

Handed out:

Tue Lecture Notes Sec 10.3 part 2 + group work Learning Activity Sec 10.3 part 2
TH
- Lecture Notes and practice Sec 10.4 Areas in polar coordinates + group work polar graphing activity
- Lecture Notes 9.1 Modeling with Differential Equations
Fri
- Continue Lecture + group work Notes 9.1 Modeling with Differential Equations
- Lecture Notes 9.3 Separable Differential Equations

Past: Week 13 (Thanksgiving recess Nov 18 – 24)

Past: Week 12 (Nov 12 – 16)

Tue
- Due HW Sec 10.1 6 problems, light green packet
TH
- Due Highly Recommended HW (not collected) Reading HW Notes Sec 10.2 part 2: arc length, surface area , yellow packet
- Recommended HW: Learning Activity Sec 10.2 part 1 questions, see answer key
Fri
- Due Highly Recommended HW (not collected) HW Sec 10.2, see answer key (Overleaf doc), salmon packet
- Quiz Sec 10.1 and 10.2(part 1)
  - Sample questions for 10.1: HW Sec 10.1, Extra Sec 10.1 questions from the textbook, Learning Activity Sec 10.1
  - Sample questions for 10.2: HW Sec 10.2 + answer key (Overleaf doc), Worksheet 10.2 Calc with parametric curves, Learning Activity Sec 10.2 part 1 questions+key (except for arc length and surface area)
  - (Note: Sec 10.2 part 2 Arc length and surface area will not be in this quiz.)

Handed out:

Tue
- Finish lecturing Sec 10.2 part 1 tangent, concavity, area, stapled together:
  - Notes Sec 10.2 part 1, lecture
  - Learning Activity Sec 10.2 part 1 questions, see answer key
- Reading HW Notes Sec 10.2 part 2: length, surface area
TH
- Math fun facts: Motivation for Section 10.3 polar coordinates: complex number multiplication, rotation, and Euler’s Formula using Taylor series (watch Khan Academy Euler’s Formula ), lecture
- Sec 10.3 part 1 Euler’s formula, Polar coordinates, converting between Cartesian and Polar equations, stapled together:
  - Notes Sec 10.3 part 1, lecture
  - Learning Activity Sec 10.3 part 1, group work
- HW Sec 10.2, see answer key (Overleaf doc)
- Extra questions Worksheet 10.2 Calc with parametric curves

Past: Week 11 (Nov 5 – 9)

Tue Election Day
- Highly Recommended HW HW 11.10, see key to problem 3
- Highly Recommended HW Sec 11.10 Khan academy videos
TH If it’s convenient, please bring a laptop on TH
- Highly Recommended HW exercises in class handouts from Tue, see also quiz study guide
Fri
- Quiz (topics from 11.10). See Week 11 sample quiz, and also:
  - HW 11.10,
    Notes 11.10 part 1, Notes 11.10 part 2, Notes 11.10 part 3, Notes 11.10 part 4.
  - I will print Table of common Taylor series for you.

Handed out:

Tue
- 0 Taylor-made Pi team activity
- 1 Key to problem 3 for HW11.10
- 2 Lecture Notes 11.10 part 4: multiplication and long division
- 3 Notes 11.10 part 5: summary from 1132 team, lecture (pg 2) and group work (pg 3-4)
TH
- Sec 10.1 Curves defined by parametric equations, stapled together:
  - Notes 10.1, lecture
  - Learning Activity Sec 10.1 4 problems, group work
- HW Sec 10.1 6 problems, color
- Lectured page 1 of Sec 10.2 part 1 tangent, concavity, area, stapled together:
  - Notes Sec 10.2 part 1, lecture
  - Learning Activity Sec 10.2 part 1 questions, see answer key

Past: Week 10 (Oct 29 – Nov 2)

Tue Exam Day
Fact sheet, will be printed for you during the exam
Exam2 sample, see key
In-class worksheet (questions taken from Exam 2 sample), see key

Exam 2 topics: Sec 4.4 Review (Technically not part of Calc 2 but you need this to do Calc 2 computation), Sec 7.1 Integration by parts, Sec 7.8 Improper Integrals, Sec 11.3 Integral Test and Estimates of Sum, Sec 11.5 Alternating Series Estimation Theorem, Sec 11.8 Power series, Sec 11.9 Representations of functions as power series

TH No HW
Fri Due Reading HW 11.10 part 2, blue

Handed out:

TH
- Lecture Notes 11.10 Taylor Series part 1
- Reading HW Notes 11.10 Taylor Series part 2, blue, for reading HW
- midsemester survey form
Fri
- Notes 11.10 part 3, lecture on Sec 11.11 Example 1 of blue reading HW Notes 11.10 Taylor Series part 2 and using Taylor series to compute limits.
- HW 11.10 Taylor Series. Please use your own paper. No color.
- Sec 11.10 Khan academy videos

Past: Week 9 (Oct 22 – 26)

News:

An extra 0.5 point on the next exam (out of 60 points) for just showing up to Integration Bee (optional: bee costume) on Thurs Oct 25 at 6pm in Mont 313, see poster. The best time to participant in an Integration Bee is while you are taking or right after you take Calc 2. The 3rd place winner last semester was an Honors Calc 2 student! Free food for the audience, and prices for top contestants.
Extra Token for being a contestant in addition to just showing up.
Extra Token Math Club on Wed Oct 25

Tue
- Due Reading HW 11.9, yellow packet
- Due (postponed to Week 9) (In class or on HuskyCT) If your exam score (before adding bonus B) is lower than 85, you may use two tokens to increase your score to at most 84. The extra points would be 20% of the points that you missed. For example, if your original score is 80, then your new score would be 80 + (20% of 20) = 84. Instructions:
  - For each of problems 5 and 7-10, if I wrote anything on your paper other than a check mark (even if your score is 10), please submit complete and correct solutions for all parts of the problem.
  - Write each problem on a separate sheet. Include the questions on each sheet.
  - If one of your solutions are not correct, the points won’t be added (and the tokens won’t be used). You are welcome to come see me to go over the corrections before the due date.
TH
- HW Due Homework HW 11.8 key included, use your own paper.
Fri
- HW Due HW 11.9, see key, use your own paper
- Review Day

Handed out:

Tue
- Lecture Notes 11.9: functions as power series slides, handout
- Homework HW 11.8, write on your own paper.
TH
- Finish computing definite integral using power series (11.9) Notes 11.9: functions as power series slides, handout.
- HW 11.9, see key, use your own paper
Fri
- Lecture problems from HW 11.9, see key
- Only hand out In-class worksheet (questions taken from Exam 2 sample), see key

Past: Week 8 (Oct 15 – 19)

Tue
- Due Reading HW 11.3 part 2: estimates of sums light green packet
- Due Week 7 quiz bonus points (5 parts, two pages), in class or on HuskyCT. Write on your own paper (copy the questions) or you can print these these pages.
TH
- Due HW 11.3 purple packet
Fri Quiz Group quiz starting at Problem 2. Practice Week 8 Sample Quiz, see answer key - please inform me of typos or of incomplete or confusing solutions so that I can fix them! Topics are all of Sec 11.3.

Handed out:

Tue
- Finish lecturing (from Week 7 TH) Notes 11.3 part 1: integral test
- Lecture part of Reading HW 11.3 part 2: estimates of sums light green packet
- Lecture problem 3abc (finding N for estimating sums) + Lecture counterexample for T/F question HW 11.3 light green packet
TH
- Lecture Notes 11.5 part 2: Alternating series estimation Thm
- Lecture Notes 11.8: power series slides, handout
- Week 8 Sample Quiz, see answer key
Fri
- Reading HW 11.8, not to be collected
- Reading HW 11.9, yellow packet

Past: Week 7 (Oct 8 – 12)

Tue
- Due HW 7.1: integration by parts, see key, pink packet
TH
- Due Reading HW (pages 2-4 only) Notes 7.8 part 2: improper integral infinite discontinuity + comparison test for improper integrals, salmon packet
- Highly Recommended: (We use L’Hospital’s rule computation for improper integral, so you should practice) Khan Academy l-hopital-s-rule
Fri
- Quiz. Practice Week 7 sample quiz, see key. Extra token for knowing everyone’s name.
- Due HW 7.8, see answer key yellow packet

Handed out:

Tue
- stapled together Notes 7.8 part 1: improper integral with infinite interval, Learning Activities 7.8 part 1 + key, lecture
- Reading HW, stapled together Notes 7.8 part 2: improper integral infinite discontinuity + comparison test for improper integrals, Learning Activities 7.8 part 2 + key, salmon packet
TH
- HW 7.8, see key yellow packet, lecture Problem 10 only
- Lecture Notes 11.3 part 1: integral test, didn’t finish
Fri
- Go over yellow packet HW 7.8 and key yellow packet before quiz

Past: Week 6 (Oct 1 – 5)

Tue, Oct 2 exam 1.
- Fact sheet (attached to exam)
- Full list of practice questions:
  - questions (6 pages),
  - and key (many pages)
- a short list of practice questions for Ch 11 only, key at the back
- a short list of practice questions for Ch 7 only, key at the back
TH
- Due Problem Set A, submit in class or upload a PDF on HuskyCT.
- Due: Submit Week 4 quiz correction (1a to 3 d) if you want more points, in class or on HuskyCT
- Due Optional Extra Credit Bonus II from Exam 1
Fri
- Optional: start homework due next week, HW 7.1: integration by parts, see key, pink packet
- Optional: Sec 7.4 Reading HW (not collected)

Handed out:

Tue Exam Day
TH 7.1
- Lecture and practice questions Sec 7.1 integration by parts
- Homework HW Sec 7.1: integration by parts, pink packet
- Homework Sec 7.4 Reading HW (not collected)
Fri 7.1
- Lecture Sec 7.1 part 2: integration by parts and proof by induction

Past: Week 5 (Sep 24 – 29)

Tue
- Due Reading HW Sec 11.5 part 1 Alternating Series, light green packet. Submit in class or upload PDF on HuskyCT.
TH
- Due Reading HW Notes 7.2 part 2: review and integrate powers tan/sec, blue packet
Fri
- Due - Green Homework Sec 7.2: trig integrals,
  - see key with full work
- AND 7.3: trig sub,
  - see key with full work, on your own paper, in class or on HuskyCT

Handed out:

Tue
- Practice Sec 11.5 practice from 1132 team
- Lecture Sec 11.6 Part 4: Absolute convergence
- Lecture Sec 7.2 Part 1: integrate powers of sin/cos/tan/sec
- Reading HW Notes 7.2 part 2: review and integrate powers tan/sec, blue packet
TH
- Math fun fact: (Reviewing Integral, cosine, natural log, and e) Limerick
- Lecture Sec 7.2 Practice
- Lecture and practice questions Sec 7.3: trig substitution
- Reading Homework Sec 7.2: trig integrals, see key AND 7.3: trig sub, see key, green
Fri Review Day

Past: Week 4 (Sep 17 – 22)

Tue nothing due
TH
- Due Reading HW Sec 11.6 notes part 1: ratio test (please memorize), part 2: root test (pink packet), in class or on HuskyCT
- Due Group presentations of Sec 11.4 Practice questions, see answer key
Fri Quiz. Practice Week 4 quiz sample questions. Do Week 4 quiz correction.

Handed out:

Tue
- Lecture Sec 11.4 limit comparison test and comparison test
- In-class activity Sec 11.4 Practice questions, see answer key
- Reading HW Sec 11.6 notes part 1: ratio test (please memorize), part 2: root test, in class or on HuskyCT
TH
Fri
- Lecture Sec 11.6 part 3 Growth rates to determine whether or not to use the ratio test
- Reading HW Sec 11.5 part 1 Alternating Series

Past: Week 3 (Sep 10 – 15)

Tue nothing due
TH
- Due Reading HW: Notes Sec 11.2 series part 2 Divergence test, harmonic series (purple packet), in class or on HuskyCT
Fri Quiz. Week 3 quiz sample questions are HW Sec 11.2.
- Due HW Sec 11.2 HW on geometric series, divergence test, harmonic series (yellow packet), in class or on HuskyCT

Handed out:

Tue
- Lecture Notes Sect 11.2 series part 1 geometric series, repeating decimals, only first 6 pages out of 8 are printed.
- Reading HW on Divergence test, harmonic series due TH (purple packet) Notes Sec 11.2 series part 2
- HW and quiz sample on geometric series, divergence test, harmonic series due Fri (yellow packet) HW Sec 11.2 from parts 1 and 2
- Find your group cards
TH
- Explain this geometric series joke
- Lecture Sec 11.2 part 3 Proofs of divergence test and harmonic series
- In-class activity Selected problems from HW Sec 11.2, see key
Fri
- Lecture Sec 11.2 part 4 tellescoping series, partial fraction decomposition

Past: Week 2 (Sep 3 – 7)

(Monday, September 3 Labor Day)

Tue nothing due
TH
- Due Submit (in class or upload PDF scan on HuskyCT) a self-study notes taken while watching these 2 Khan Academy videos:
  - Formal def for limit of a sequence and
  - Proving a sequence converges using the formal def.
  - At the end of your self-study notes, show that the sequence {n/(n-5)} converges to 1. Follow my example (see boxed solutions on pg 2 or 4): Example for choosing N or class notes from Notes Sect 1.1 sequences part 3 Precise definition with epsilon, N, M
- Due (Optional): do some Khan Academy practice problems and watch the examples given in the other two videos in this module.
Fri Quiz. Practice sample questions for week 2 quiz

Handed out:

Tue
- Lecture Notes Sect 1.1 sequences part 3 Precise definition with epsilon, N, M
- Lecture Supplement Sec 4.4 review L’Hospital’s Rule especially pages 4,5
TH Lecture Notes Sect 11.1 sequences part 2 Geometric sequence and Monotonic Sequence Theorem, four pages
Fri Group work in-class activity Notes Sect 11.1 in-class group practice before quiz, see answer key

Resources:

Visual representations of geometric series!
Check whether your sequence or series converge/diverge with WolframAlpha. For example, see A few examples of what you can ask WolframAlpha about

Past: Week 1 (Aug 27 – 31)

Tue Introduction and Calculus 1 (Stewart Ch 2-4 review) display version
TH
- Due Math Bio at the beginning of class
Fri Quiz. Practice sample questions for week 1 quiz
- Due Finish Calculus 1 (Stewart Ch 2-4 review) print version - you can look up answer key from the link at the bottom

Handed out:

Tue Group in-class activity Calculus 1 (Stewart Ch 2-4 review) print version
TH and Fri Lecture Notes Sec 1.1 part 1: sequences

Content credit: Uconn Math 1132 instructors and MAA publications and MAA members, especially S. Chao, T. Chumley, M. Rabideau, F. Tabing, used with thanks