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

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

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

**Priority 2**: **2017BC Mock Exam** (**distributed in class to AP test takers**; secure exams cannot leave the classroom; secure solutions provided in class) + **Score** + **Detailed Corrections**

**Priority 3****: **Have 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 4B**: **2015BC MCQs** and **2013BC MCQs **+ **Corrections** (copies available to use in the classroom, solutions available in the **BC Practice Test Depot**).

**Priority 4C****: ****028AB - 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** + Corrections, **2016BC FRQs** + Corrections, and **2015BC FRQs** + Corrections if you haven't already.

**Monday's After School Materials**: **BIG 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 Solutions**: **AP 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 Materials**: **Area 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 Video**: **Part 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 - 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**

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

**Friday 5/24/2019**

**7.5 Quiz**** **(in documents)

Correct with: **7.5 Quiz Solution Video**

**Option 1**: **7.5 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 Centers of Mass (slightly different search results)

**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 - 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 Reading**: **Mistakes 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 Syllabi****; ****Loveless 125 Section ****/ ****Updated Version**** **(just look at all those resources)

**Math 126 UW** (3rd Quarter Calculus); **Example Math 126 Syllabi**; **Loveless 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 Exams**: **Exam #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 #1s**: **Exam #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 #2s**: **MANY 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 Exams**: **Exam #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?**