1152Q — Schedule

Welcome to Math 1152Q: Honors Calculus II, this Spring 2018! Today is .

Actual Schedule

See also UConn Calendar for Spring 2018 for important dates.

Filled-in lecture notes are available in this public Dropbox folder: 1152lectures

Office hours

Final Exam

Final Exam is on Wed May 2 at 3:30-5:30 at MONT 110.
Final exam practice:
- Review Exam 1 (short) and Review Exam 1 (short) answer key
- Review Exam 2 (short) and Review Exam 2 (short) answer key
- Review Exam 3 (see below)
If you have a conflict with another final/project, please see this link for more information and talk to me. Even if you just have one other final that day, you are welcome to talk to me.

Future: Week 15 (Apr 23 – Apr 27)

Exam 3: 11.8-11.10, 10.1-10.4, 9.1, 9.3.
- Exam 3 sample, see key
- Fact sheet, will be given to you during the exam
Monday
- Due Do page 3 (copy from textbook example) and page 7 (exercises 1-3) from Notes 9.3 Separable Differential Equations, use your own paper if you need more space
- Due Correct solutions to the questions you miss on the quiz
d1 Continue with Notes 9.3 Separable Differential Equations, lecture and group work
d2 Review

Today is .

CURRENT: Week 14 (Apr 16 – Apr 20)

Week 14 Quiz is on Wednesday and Thursday: all homework and worksheet questions from Sec 10.3 - 10.4
Thurs/Fri
- Due HW Sec 10.4 Areas in polar coordinates HW questions, see answer key
Tues/Wed
- Due Upload your shared Desmos link on HuskyCT polar graphing activity
Monday
- Due HW Sec 10.3 polar coordinates Complete each question by hand.

Handed out:

d1 Notes and practice Sec 10.4 Areas in polar coordinates, lecture
d1 polar graphing activity, group work
d2 More examples In-class 10.4 Areas in polar coordinates from 1132 team, group work
d2 Notes 9.1 Modeling with Differential Equations, lecture and group work
d3 Notes 9.1 Modeling with Differential Equations group work (finished in class)
d3 Notes 9.3 Separable Differential Equations, lecture and group work

Past: Week 13 (Apr 9 – Apr 13)

Thurs/Fri
- Due HW Sec 10.3 polar coordinates sketch the point/curve for each problem using Desmos (if possible) or by hand.
Tues/Wed quiz
- Sample questions for 10.1: HW Sec 10.1, Worksheet 10.1 parametric curves, Learning Activity Sec 10.1
- Sample questions for 10.2: HW Sec 10.2 + key (Overleaf doc), Worksheet 10.2 Calc with parametric curves, Learning Activity Sec 10.2 part 1 questions+key (not part 2)
- (Note: Arc length and surface area will not be in this quiz.)

Monday
- Due Notes Sec 10.2 part 2
- Due HW Sec 10.2 questions, see answer key

Handed out:

d1 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
d1, d2, d3 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
d3 Notes Sec 10.3 part 2, lecture
d3 Learning Activity Sec 10.3 part 2, group work

Past: Week 12 (Apr 2 – Apr 6)

Thurs/Fri
- Due HW Sec 10.1, use either your own paper or my printed copy
Tues/Wed
- Quiz (topics from 11.10).
  - See Week 12 quiz sample questions
  - HW 11.10 part 1 and part 2, pink
  - Notes 11.10 part 1,
  - Notes 11.10 part 2,
  - Notes 11.10 part 3.
  - I will print Table of common Taylor series for you.
Mon this week’s quiz is moved to Tues/Wed because a couple students will be out of town this week.
- (Recommended HW) Week 12 quiz sample questions and Sec 11.10 Khan academy videos

Handed out:

Taylor-made Pi team activity
d1 (Optional extra examples, not handed out): Notes 11.11 application of taylor polynomials from 1132 team, see an answer
d1 Sec 10.1 part 1 Curves defined by parametric equations, stapled together:
- Notes 10.1, lecture
- Learning Activity Sec 10.1 4 problems, partner work
- HW Sec 10.1 6 problems
d2 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
d3 Sec 10.2 part 2 arc length, surface area, stapled together:
- Notes Sec 10.2 part 2
- HW Sec 10.2 questions, see answer key

Past: Week 11 (Mar 26 – Mar 30)

day 3 Due HW 11.10 part 1, part 2, printed together, pink, use your own sheet
day 2 Due Reading HW 11.10 part 2, blue
day 1
- Due HW 11.9, see key, use your own paper
- quiz on 11.8, 11.9. See Week 11 quiz sample questions + HW 11.8 + HW 11.9
- Monday, March 26 Last day to drop a course

Handed out:

d1/2 Notes 11.10 Taylor Series part 1, lecture
d1 Notes 11.10 Taylor Series part 2, blue, for reading HW
d1 HW 11.10 Taylor Series part 1, part 2, stapled together, pink
d1/2 Mid-semester survey 2, Mid-semester survey 1
d2 Notes 11.10 part 2b (explanation of Taylor’s Inequality example), lecture on Sec 11.11 Example 1 of blue reading HW
d2 Sec 11.10 Khan academy videos
d3 Textbook 11.10 Example 13: long division, lecture
d3 Notes 11.10 part 3: summary from 1132 team, lecture (pg 2) and group work (pg 3-4)

Past: WEEK 10 (Mar 19 – Mar 23)

day 3 Due HW 11.8 key included, use your own paper
day 2 Due Reading HW 11.9, yellow packet
day 1 (no homework)
- Monday, March 19 Registration for the Fall 2018 semester via Student Administration System begins

Handed out:

d1 Notes 11.8: power series, lecture
d1 Reading HW 11.9, yellow packet
d2 Finish Monday lecture, work on HW problems: HW 11.8 and HW 11.9 + key in groups (or snow day)
d3 Notes 11.9: functions as power series, lecture
midsemester survey form

Past: Week 9 (Spring recess Mar 12 – Mar 16)

Past: Week 8 (Mar 5 – Mar 9)

day 3 Exam.
- Fact sheet. Please let me know if I forget to include any useful trigonometry information or theorems.
- Exam 2 practice and Answer Key
- Due Friday class only, submit at least 20 small questions (5 from each of the four parts).
day 2
- Due HW Exam 2 practice:
  - Tues class only, pick at least 8 small questions (letters/ roman numerals) - see instruction.
day 1
- Due HW 11.3 green
- Due Reading HW 11.3 part 2: estimates of sums also green

Handed out:

d1 Lecture counterexample for T/F question from HW 11.3 green
d1 Notes 11.5 part 2: Alternating series estimation Thm, lecture
d2 Lecture, finish proof that e is irrational

Past: Week 7 (Feb 26 – March 2)

day 3
- Due HW 7.8 blue
- Recommended: (We use L’Hospital’s rule computation for improper integral, so you should practice) Khan Academy l-hopital-s-rule
day 2
- Due Reading HW (pages 2-4 only) Notes 7.8 part 2: improper integral infinite discontinuity + comparison test for improper integrals yellow
- Recommended: (We use L’Hospital’s rule computation for improper integral, so you should practice) Khan Academy l-hopital-s-rule
day 1
- Due HW 7.1: integration by parts, and key
- quiz: questions are from in-class work (In-class 7.2, In-class 7.3) and homework HW 7.2: trig integrals, see key and HW 7.3: trig sub, see key

Handed out:

d1/2 stapled together Notes 7.8 part 1: improper integral with infinite interval, Learning Activities 7.8 part 1 + key, lecture
d1/2 stapled together Notes 7.8 part 2: improper integral infinite discontinuity + comparison test for improper integrals, Learning Activities 7.8 part 2 + key, yellow reading HW
d2 HW 7.8 blue, lecture Problem 10 only
d3 Notes 11.3 part 1: integral test, lecture
d3 Notes 11.3 part 2: estimates of sums, lecture + reading HW, green
d3 HW 11.3, lecture on problem 3a,b,c (finding N for estimating sums), also green

Past: Week 6 (Feb 19 – Feb 23)

day 3
- Due HW 7.2: trig integrals, see key and HW 7.3: trig sub, see key
day 2
- Due Reading HW Notes 7.2 part 2: review and integrate powers tan/sec
day 1 (no quiz)
- Recommended homework:
  - (Review before we learn new integration techniques) Khan Academy quizzes/videos on u-substitution, especially for logarithmic function, rational functions, and exponential functions.

Handed out:

d1 Notes 7.2 part 1: integrate powers of sin/cos/tan/sec, lecture
d1 In-class 7.2 trig integrals from 1132 team, lecture
d1 Reading HW Notes 7.2 part 2: review and integrate powers tan/sec
d2 Math fun fact: (Reviewing Integral, cosine, natural log, and e) Limerick
d2 In-class 7.3 trig substitution from 1132 team, lecture + prepare for pair presentations (on day 3)
d2 Homework Sec 7.2: trig integrals, see key and 7.3: trig sub, see key
d3 In-class 7.1 integration by parts from 1132 team, lecture + group work
d3 Homework Sec 7.1: integration by parts, and key

Past: Week 5 (Feb 12 – Feb 16)

day 3 (Thurs/Fri) exam 1
- list of topics, a very short list of practice questions
- Longer list of practice questions (5 pages): questions and key
- Fact sheet (attached to exam)
day 2
- Suggested HW (not collected): Sec 11.5 part 1: alternating series Notes and In-class practice
day 1 no quiz on exam week
- Due Problem Set A

Handed out:

d1 Notes Sec 11.5 part 1: alternating series
d1 In-class practice Sec 11.5 part 1: alternating series from 1132 team
d2 Comparison Test and Ratio Test worksheets from 1132 team
d2 (not printed) Series flowchart

Past: Week 4 (Feb 5 – Feb 9)

day 3 (Thurs/Fri)
- Due Finish Reading HW Strategies for series with positive terms salmon packet
day 2 (Tues/Wed)
- Due Reading HW Sec 11.6 notes part 1: ratio test (most useful), part 2: root test
Mon Feb 5
- Due Reading HW Sec 11.4 notes comparison and limit comparison tests (most useful), yellow packet
- Quiz. Practice week 4 quiz sample questions
- Optional: Read through Problem Set A and ask for hints on Monday

Handed out:

d1, d2 In-class ‘HW’ and group presentations and key on Limit Comparison Test 11.4 and Ratio Test 11.6
d2 Selected problems from Exam 1 practice: Strategies for series with positive terms
d2 Wednesday is special e = 2.718 … day. e is the limit of (1 + 1/n)^n as n approaches infinity
d3 Desmos growth rates demo and Notes sec 11.6 part 3: growth rates
d3 (not handed out) extra practice questions: Worksheets Sec 11.4: comparison test and limit comparison test and Sec 11.6 part 1: ratio test from 1132 team

Past: Week 3 (Jan 29 – Feb 2)

day 3 (Thurs/Fri)
- Due HW Sec 11.2 geometric series, divergence test, harmonic series (blue packet)
day 2 (Tues/Wed)
- Due Reading HW: Notes Sec 11.2 series part 2 Divergence test, harmonic series (purple packet)
Mon Jan 29
- Quiz. Practice week 3 quiz sample questions.
- Last day to add/drop via Student Administration System, last day to place courses on Pass/Fail. Courses added or dropped after this date require additional signatures. Dropped courses will have a “W” for withdrawal recorded on the academic record.

Handed out:

day 1 Notes Sec 11.2 series part 2 Divergence test, harmonic series (purple packet)
day 1 HW Sec 11.2 reading HW on geometric series, divergence test, harmonic series
day 2 In-class activity Selected problems from HW Sec 11.2
day 3 Explain this joke
day 3 HW Sec 11.2 part 3 Proofs of divergence test and harmonic series
day 3 HW Sec 11.2 part 4 tellescoping series, partial fraction decomposition

Resources:

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 2 (Jan 22 – Jan 26)

day 3
- Due Polished solutions/proofs to all the examples/exercises from orange packet: Notes Sect 1.1 sequences part 2 and Notes Sect 1.1 sequences part 3. Include formal explanations. Do not include any scratch work.
- Suggested hw: memorize the epsilon-N and N, M definition from Notes Sect 1.1 sequences part 3.
day 2
- Due
  - Submit a self-study notes after watching these 2 Khan Academy videos: Formal def for limit of a sequence and Proving a sequence converges using the formal def. Optional: do some KA practice problems and watch the examples given in the other two videos in this module.
  - Attempt to 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
day 1
- Week 2 quiz. See sample questions

Handed out:

Notes Sect 1.1 sequences part 2 Geometric sequence and Monotonic Sequence Theorem, four pages
Notes Sect 1.1 sequences part 3 Precise definition with epsilon, N, M
Notes Sect 1.2 series part 1 geometric series, repeating decimals
Notes Sec 4.4 Review L’Hospital’s Rule pages 4,5

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 (Jan 15 – Jan 19)

day 3
- Due Math Bio at the beginning of class
- Suggested hw: do sample questions for week 2 quiz
- Due (only if your Wed class was canceled due to snow):
  - Reading HW Sec 11.1 part 1 You should copy everything from the textbook, but first attempt on your own.
  - Submit correct answers to WebAssign Sec 11.1 no. 1-6 (free during the first two weeks - full solutions will become visible after you submit a couple attempts)
day 2 Introduction/snow day
day 1 Martin Luther King, Jr. Day - No classes

Notes:

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