Next BC Calculus Assignment(s) (for those working ahead)

Tuesday 4/30/2019 - Friday 5/3/2019

Priority 1Final Exam MCQ & FRQ Detailed Corrections (secure exams & secure solutions cannot leave the classroom).

Priority 22017BC Mock Exam (distributed in class to AP test takers; secure exams cannot leave the classroom; secure solutions provided in class) + Score + Detailed Corrections

Priority 3Have you worked through the 2016BC FRQs, 2017BC FRQs , and 2018BC FRQs yet?  If not, those are the next priority.  

Priority 4A: Based on your performance, self select FRQ problems for review from the topics on the BC Calculus FRQ Problem Index Tab.  Focus on topics you don't feel you have mastered.  Try to be prepared for all of the common BC FRQ Topics + ALL of the AB FRQ Topics.

So what is most likely to actually be on the AP BC Exam FRQ Section?  

Compiled data from 9 of the most recently released exams (2014-2018):

10 Table FRQs (including 4 1-Dimensional Particle Motion Table FRQs), 9 Series FRQs, 5 Area & Volume FRQs, 6 Differential Equation FRQs, 5 Parametric FRQs, 7 Graph FRQs, 5 Application FRQs (esp. Rate In/ Rate Out), 5 Polar FRQs, and finally 2 Misc. Function FRQ.

Priority 4B2015BC MCQs and 2013BC MCQs Corrections (copies available to use in the classroom, solutions available in the BC Practice Test Depot).

Priority 4C028AB - New FRQs 2016 (click the link) / 028AB – Scoring Rubrics (click the link)

Friday's After School Review – Rate and Application FRQ Problems / Solutions

 

Monday 5/6/2019 - Thursday 5/9/2019 - Good luck on your AP Exams!

Classwork

2016BC Mock Exam (distributed in class to AP test takers; secure exams cannot leave the classroom; secure solutions provided in class) + Score + Detailed Corrections

2016BC #2 (Old Format) Mock Exam (distributed in class to AP test takers; secure exams cannot leave the classroom) + Score + Detailed Corrections Detailed MCQ Solutions / Detailed FRQ Solutions

Homework

031BC - BC Practice Problems from the Revised Course Description (distributed in class to AP test takers and in documents / 031BC - Answer Key & Detailed Solutions (in documents)

026BC - Mock AP Exam #2 - FRQ (distributed in class to interested students and in documents) / 026BC - FRQ - Scoring Rubrics & Detailed Solutions (in documents)

Might as well knock out the 2017BC FRQs + Corrections2016BC FRQs + Corrections, and 2015BC FRQs + Corrections if you haven't already.

 

Monday's After School MaterialsBIG VOLUME REVIEW / BIG VOLUME REVIEW - Solutions /  FRQ Topic: Area & Volume Problems

Tuesday's After School Tutorial – Implicit Differentiation FRQs / Solutions / FRQ Topic: Implicit Differentiation

Thursday's After School Materials

Related Rates FRQs (Video Solutions: 2008AB FRQ #3 / 2003AB FRQ #5 / 2002 Form B FRQ #6 / 2002 FRQ #5)

AP Exam Review - The Big Theorems / Expanded SolutionsAP Exam Review - The Big Theorems - Expanded Multiple Choice Solutions

AP Exam Review - Just Mean Value Theorem 

 

Other AP Review Assignment Options:  (Let me know if you want a paper copy of anything and we will get it printed for you!)

020BC Formula and Concept Check (in documents)

014BC FRQ Review – Tables and Separable Differential Equations Problems on the AP Test (in documents)

021BC - 2013BC MC Targeted Review (in documents)

Correct with: 021BC - Complete Solutions (in documents)

BC Review - AP Polar - P (in documents)

015BC – FRQ Graph Problems (in documents)

 

Friday 5/10/2019

Homework:

The best preparation you can do at this point is probably FRQs and MCQs

BC FRQ Problem Index BC FRQ Website AB FRQ Website / BC Practice Test Depot.  

At a minimum, be ready for the most likely FRQ Topics: 

Table / Series / Area & Volume / Differential Equation (with Euler's Method and Logistic Diff. Eq.) / Parametric / Graph / Application (Rate In / Rate Out) / Polar.

FRQ – The Weird Stuff (in documents) and/or FRQ Practice on topics you feel are worthwhile.

Review: AP Calculus - Stuff you MUST know Cold (in documents)

Review: AP AB Obscure Test Knowledge (in documents)

Area and Volume – Hard Mode (in documents)

Correct with: Area and Volume – Hard Mode - Solutions (in document)

20 Minute AB Calculus Summary Video: Part 1 / Part 2

Friday's After School MaterialsArea and Volume – Hard Mode Area and Volume - Hard Mode - Solutions

 

Monday 5/13/2019 - Good luck on your last week of AP Exams!

Last Day Homework (distributed in class to AP test takers & in documents)

Correct with: Last Day Homework Solutions (in documents).

Be ready for an Absolute/Conditional Convergence Problem.

Be ready for a Limit Comparison Test Problem and a Direct Comparison Test Problem.

Be ready for an Alternating Series Error Bound and/or Lagrange Error Bound.

Suggestions for today/tonight: 2-3 hours (max) of light review.

Mentally walk yourself through a BC MCQ Exam (or two; copies of many exams available in the classroom).

Mentally walk yourself through the last few FRQs: 2018BC, 2017BC, Earlier FRQs

Read: BC Calculus Cheat Sheet and Tips for the AP Calculus BC Exam / AP Calculus - Stuff you MUST know Cold (in documents and distributed in class previously; do you know all the relevant formulas?).

Skim: 2013BC and 2012BC Detailed Topic Breakdown (in documents; do you know all the relevant formulas?).

Take a look at the BC FRQ Problem Index Tab.  At a minimum, be ready for the most likely FRQ Topics: Table / Series / Area & Volume / Differential Equation (with Euler's Method and Logistic Diff. Eq.) / Parametric / Graph / Application (Rate In / Rate Out) / Polar.

#1 AP Exam Tip: Sleep at least 6.5 hours. Preferably 7.5+. Shut the books by 7pm and shut-off the phone by 8pm.
#2 AP Exam Tip: Eat a balanced breakfast (carbs/protein), pack a carby snack, and bring a bottle of water.
#3 AP Exam Tip: Pee at 7:30AM (whether you need to or not).

20 Minute AB Calculus Summary VideoPart 1 / Part 2

 

Tuesday 5/14/2019

AP Exam day.

 

Wednesday 5/15/2019

Ice cream day!

 

Thursday 5/16/2019 - Friday 5/17/2019

Read 8.3 and/or watch 8.3 - Full Lecture with Professor Leonard.

8.3 Bellwork & Trig Cheat Sheet (in documents)

8.3 Notes - Trigonometric Integrals (in documents)

8.3 (6, 7, 11, 29, 33, 37, 69).  Self select more problems as needed; Kentwood students as a whole are unprepared for UW trig. Problems.

8.3 Bellwork - Day 2 (in documents)

Try to get by just with the answers in the back of the book!

Use only if all other resources fail you:

8.3 MORE Complete Solutions (in Calculus Book Solutions)

For these post BC Exam Material assignments, in some cases MORE Complete Solutions are provided.  In other cases, you will just have to get by with the regular ol' Complete Solutions calcchat.com.

Tutorial Videos: 

8.3 - Trigonometric Integrals 

8.3 - Trigonometric Integrals - LONG

8.3 - Full Lecture with Professor Leonard

 

Monday 5/20/2019 (links for this will be updated after the AP Exam FRQ release)

Revisit the 2019BC Free Response Questions or go onto 8.4.

Correct with: 2019 AB-BC FRQs - Unverified Draft of Solutions (will be posted in documents or click link)

Video Solutions:

FRQ #1 / FRQ #2 / FRQ #3 / FRQ #4 / FRQ #5 / FRQ #6

 

Tuesday 5/21/2019

Read 8.4 and/or watch 8.4 - Full Lecture with Professor Leonard.

8.4 Notes - Trigonometric Substitution (in documents)

8.4 (1-51 (e.o.o.), 67, 69, 71, 81, 87).

Tutorial Videos:

8.4 - Trigonometric Substitution

8.4 - Trigonometric Substitution - Full Lecture

8.4 - Specific Video 1 - Quick introduction to the topic with an expectation that students explore the topic further on their own as they work through homework.

8.4 - Specific Video 2 - More in depth introduction to the topic with detailed examples.

8.4 - Specific Video 3 - (Follow up to 8.4 - Specific Video 2)

8.4 - Full Lecture with Professor Leonard

 

Wednesday 5/22/2019

5.8 - Full Lecture with Professor Leonard

5.8 Notes - Introduction to Hyperbolic Trig. Functions (in documents)

5.8 Notes - Extended Notes with Calculus of Hyperbolic Trig. Functions (in documents)

Read 5.8.

Self select interesting problems from 5.8.

5.8 Complete Solutions (in Calculus Book Solutions)

Tutorial Videos:

5.8 - Hyperbolic Trig Functions w/ and w/o Calculus

 

Thursday 5/23/2019

7.5 - Many Full Lectures

Read 7.5.

7.5 Part 1 (5, 7, 11-23(odd))

7.5 Notes - Day 1 (in documents)

7.5 MORE Complete Solutions - Selected Problems (in Calculus Book Solutions; just let me know if you want a specific problem added)

Tutorial Videos:

7.5 - Work Integrals - Springs

7.5 - Work Integrals - Pumping Liquids

7.5 - Hooke's Law

7.5 - Many Full Lectures

 

Friday 5/24/2019

7.5 Quiz (in documents)

Correct with: 7.5 Quiz Solution Video

Option 17.5 Part 2 (27, 30, 38, 39, 41)

Option 2: Self-select interesting problems from 7.5.

Option 3: Hunt down the work problems on the UW Math 125 Final Exams and attempt those instead: Math 125 Final Exam Page (just open a Final Exam and control>f>work to find the work problem).

Tutorial Videos:

7.5 - Work Integral - Hemispherical Tank

7.5 - Work Integrals - Full Lecture

 

Tuesday 5/28/2019 - Wednesday 5/29/2019

7.6 Notes - Center of Mass (in documents)

Optional: 7.6 Guided Notes (in documents; feel free to request a paper copy!)

Correct with: 7.6 Guided Notes - Filled in Version (in documents)

Read 7.6. 7.6 (1, 3, 7, 13, 17, 25, 29, 33, 35, 39, 43).

7.6 is covered during a typical 2nd quarter calculus class at the University level.

7.7 is SOMETIMES covered during a typical 2nd quarter calculus class at the University level.  UW removed 7.7 from Math 125 relatively recently.

Optional: Read 7.7. 7.7 (1, 7, 11, 21, 23, 27).

7.7 Notes  - Fluid Forces (in documents)

Tutorial Videos:

7.6 - Calculating Centroids

7.6 - Calculating Centers of Mass (slightly different search results)

7.6 Pre - Simpson's Rule

 

Thursday 5/30/2019 - Tuesday 6/4/2019 - If you haven’t already, go to my S drive Out-Box and download the pdf of our textbook. 

You might want to save it on your home computer as a reference.

Why?  Senior books are due very soon!

1) CWU Assignment #9 - Trig. Substitution Integral Quiz (in documents; detailed solutions begin on page 3; feel free to request a paper copy)

2) 7.6 UW Quiz (in documents; answers on page 4; feel free to request a paper copy)

Perform detailed quiz corrections with: 7.6 UW Quiz - Detailed Solutions (in documents)

3) Math 125 Final Exam - Winter 2017 (in documents; feel free to request a paper copy)

Perform detailed test corrections with: Math 125 Final Exam - Winter 2017 - Detailed Solutions (in documents)

Consider how you would have constructed your note page for this exam.

If you want to try more Math 125 Final Exams, you can find one here (with a detailed solution as well) and many here (usually just with answers).

If you are taking Math 125 next year, explore this website and consider downloading all relevant pdfs.

 

Wednesday 6/5/2019

Option 1: Take a look at a Math 125 Final Exam of your choice.  With 3 hours and two pages of notes, identify which problems you would still have difficulty with.

Option 2: Using the power of google or other search engine, try to find what will be covered in the first 3-4 weeks of your first college math class.  Identify which sections of our textbook provide that material.

Useful step-by-step integral calculator: http://www.integral-calculator.com/

 

Thursday 6/6/2019 - Math 126 Time!  Online Math 126 Course Link

Read 11.1 and/or watch 11.1 - Full Lecture with Professor Leonard - Introduction to Vectors.

Self select interesting problems from 11.1 (When in doubt, you could always go every other odd!).

Vector Notes - Basics (in documents)

11.1 Notes - Day 1 - Vectors in the Plane (in documents)

11.1 Notes - Day 2 - Vector Valued Functions (in documents)

Vector Notes - MIT (in documents)

Sections 11.1-11.3 of your textbook (in documents; for students who already turned in the book)

Tutorial Videos:

11.1 - Full Lecture with Professor Leonard - Introduction to Vectors

11.1 - Adding Vectors / 11.1 - Subtracting Vectors / 11.1 - Magnitude of a Vector / 11.1 - Finding a Unit Vector

11.1 - Introduction to Vectors Lectures

 

Friday 6/7/2019 - Monday 6/10/2019

Read 11.2 and/or watch 11.2 - Full Lecture with Professor Leonard.

Self select interesting problems from 11.2 (when in doubt, you could always go every other odd).

Read 11.3 and/or watch 11.3 - Full Lecture with Professor Leonard - The Dot Product.

Self select interesting problems from 11.3 (when in doubt, you could always go every other odd).

11.3 Notes - The Dot Product (in documents)

Dot Product – Better Explained

Sections 11.1-11.3 of your textbook (in documents)

Tutorial Videos:

11.2 - Full Lecture with Professor Leonard

11.3 - Full Lecture with Professor Leonard - The Dot Product

11.3 - Dot Product of Two Vectors

11.3 - Finding the Angle Between Two Vectors

11.3 - Direction Cosines

11.3 - Projections of a Vector onto another Vector

Be independent; use your fellow students and/or appropriate google/youtube searches for any terms/concepts that don’t make complete sense to you!

 

Tuesday 6/11/2019 - Wednesday 6/12/2019

Read 11.4 and/or watch 11.4 - Full Lecture with Professor Leonard - The Cross Product.

Self select interesting problems from 11.4.

11.4 Notes - The Cross Product (in documents)

Dot Product – Better Explained

Tutorial Videos:

Find your own dang tutorial videos!  (You totally can for just about any 1st-2nd year math/science topic!)

 

Optional Watching: Student Loans Explained

Optional Reading: What do you wish someone had told you before college?

Optional ReadingMistakes Freshmen Make / UW Focused

Optional Exploration: No idea what a Matrix is, let alone what Matrix Algebra is?  Tab for that.

Thursday 6/13/2019 and on into the future...

Further Study:

Move onto 11.5 and 11.6.

Move onto 11.6 and 11.7.

After three weeks of 3rd quarter calculus at the University level, you might face a 50 minute midterm covering Chapters 11 AND 12 like:

Math 126 D - Spring 2015 - Midterm 1 (posted in UW Exams and Detailed Solutions)

Correct with: Math 126 D - Spring 2015 - Midterm 1 - Solutions (posted in UW Exams and Detailed Solutions)

or

Math 126 C - Spring 2014 - Midterm 1 (posted in UW Exams and Detailed Solutions)

Correct with: Math 126 C - Spring 2014 - Midterm 1 - Solutions (posted in UW Exams and Detailed Solutions

After ten weeks of 3rd quarter calculus at the University level, you might face a three hour final exam like:

Math 126, Final Exam, Spring 2014 (posted in UW Exams and Detailed Solutions)

Correct with: Math 126, Final Exam, Spring 2014, Detailed Solutions (posted in UW Exams and Detailed Solutions)

 

General University of Washington Calculus/Chemistry/Physics/Statistics/Accounting Advice (similar advice applies to studying those subjects at other schools):

1) Attend every lecture, quiz section, etc.  Close the laptop and take real notes.  Make ample use of youtube for supplemental lecture material.

2) Attempt every homework problem as soon as possible.  Go to a office hour or study center to get EVERY question answered IMMEDIATELY.  Procrastination = downward grade trajectory.

3) Make appropriate use of the campus tutoring and study centers: Math Study Center Information / Chemistry Study Center Information / Physics Study Center Information / Statistics Study Center Information / CLUE (for the night owls) / Foster Instructional Tutoring Center (FIT) 

4) Don't isolate yourself.  Study groups and accessing TA/Professor office hours can help your understanding of the material a tremendous amount.

5) Work through as many previously released exams as possible for each course.

Math 125 UW (2nd Quarter Calculus); Example Math 125 SyllabiLoveless 125 Section Updated Version (just look at all those resources)

Math 126 UW (3rd Quarter Calculus); Example Math 126 SyllabiLoveless 126 Section / Updated Version (just look at all those resources)

Student Loans Explained - Be sure to understand what you are getting into with student loans and how you will eventually pay them back.

 

Preparation for UW Math 126 (Sample Schedule for Math 126):

0) Buy a Ti-30x IIS Calculator.  From the UW Website: "THIS IS THE ONLY CALCULATOR MODEL ALLOWED ON EXAMS."

1) Work through 7.5, 7.6, 8.3, and 8.4.  Find your own powerpoint notes.  Find your own youtube videos.

2) Now you are ready for Math 125 Final ExamsExam #1 / Solutions #1 / MANY Exams.  When you are confident on scoring 85%+ raw on those exams (with one 8''x11'' page of notes and a scientific calculator!), move on to Math 126.

3) Work through 11.1-11.7 & 12.1-12.5.  Find your own lecture notes.  Find your own youtube videos.

When the Calculus Book Solutions Tab fails you, switch to calcchat.com and focus on odd problems only.

4) Now you are ready for Math 126 Midterm Exam #1sExam #1 / Solutions #1 / Exam #2 / Solutions #2 / MANY Exams.  When you are confident on scoring 85%+ raw on those exams under timed conditions (50 Minutes Only!), move on to 13.1.  Recently, most professors have allowed one 8''x11'' page of notes.

5) Work through 13.1-14.5.  Focus on odd problems and use calcchat.com.  Find your own lecture notes.  Find your own youtube videos.

6) Now you are ready for Math 126 Midterm Exam #2sMANY Exams.  When you are confident on scoring 85%+ raw on those exams (with your page of notes) under timed conditions (50 Minutes Only!), it is time for Taylor Series review!  Many former KW students found this portion of Math 126 the most relaxing.

7)  Work through 9.1-9.10.  Use UW's Taylor Series Notes and/or use our notes from earlier in the year!  Find your own youtube videos and/or use our links from earlier in the year!

8) Now you are ready for Math 126 Final ExamsExam #1 / Solutions #1 / MANY Exams.  When you are confident on scoring 85%+ raw on those exams (with one 8''x11'' page of notes!), you should be able to get higher than a 3.1 in Math 126.  Beat that median.  Good luck!

 

Want to work even farther ahead?

BC Calculus Book Assignments for the Entire Year

BC Calculus Video Links for the Entire Year