McKinney High School - AP Calculus BC
Teacher: Mrs. Theresa Horvath, Room D211
Email: thorvath@mckinneyisd.net
This website has been created for my AP Calculus BC students and parents to keep you up-to-date with our calendar of daily topics, homework, and assessments. You will also find some general calculus links and occasional links that pertain to specific units of study. If you have any questions, please email me directly. Thank you - enjoy!
General Helpful Websites:
http://www.mathtv.com
http://www.khanacademy.org
Helpful Online Flashcard Links: (click on link, then choose "Study")
Trig Function Values (sin, cos, tan)
Trig Identities
Derivatives
Inverse Trig Functions (domain, range, graph, derivative)
Helpful PowerPoint Flashcards:
Trig Memorization Practice.ppt
Trig Memorization Practice 2.ppt
Formula List Flashcards.pptx
QUIZSTAR ONLINE QUIZ ASSIGNMENTS (CLICK TO GOTO LOGIN)
AP REVIEW PACKETS
AP REVIEW 1A.doc AP REVIEW 1B Motion Along a Line.doc
AP REVIEW 2.doc AP REVIEW 3.doc AP REVIEW 4.doc
AP REVIEW 5.doc AP REVIEW 6.doc AP REVIEW 7.doc
AP Review 1A SOLUTIONS.pdf AP Review 1B SOLUTIONS.pdf
AP Review 2 SOLUTIONS.pdf AP Review 3 SOLUTIONS.pdf AP Review 4 SOLUTIONS.pdf
AP Review 5 SOLUTIONS.pdf AP Review 6 SOLUTIONS.pdf AP Review 7 SOLUTIONS.pdf
AP Misc Review Topics SOLUTIONS.pdf
LAST AP Review SOLUTIONS.pdf (YAY!!!!! You guys rock - you are going to do awesome!!!)
AFTER AP EXAM
Volume Summative Project.doc
Cylindrical_Shell_Method.doc
VIDEO Cylindrical Shell Method
Unit 9 - Series
Unit 9 Calendar(1).doc
Notes on Sequences.doc
VIDEO Notes on Sequences
Notes Series Day 1 Explore Conv&Div-Geometric & nth term tests.doc
VIDEO Notes on Series Day1 Geometric-Nth term-Telescoping Series Tests
Notes on Integral Test and p-Series and Comparison Tests.doc
VIDEO Integral & p-Series Tests
VIDEO Comparison Tests
Notes on Alternating Series Ratio & Root Tests.doc
VIDEO Alternating Series Test
VIDEO Ratio & Root Tests
VIDEO Taylor Approximations Day1
Notes on Taylor Polynomials and Approximations.doc
Worksheet 1 on Taylor Polynomials.doc
VIDEO Taylor Approximations Day2
Taylor Polynomials and Approximations, Day 2.doc
Worksheet 2 on Taylor Polynomials.doc
VIDEO Radius & Interval of Covergence
Notes and Worksheet on Radius and Interval of Convergence.doc
VIDEO Taylor Series Day1
VIDEO Taylor Series Day2 Part1
VIDEO Taylor Series Day2 Part2
Notes on Taylor Series.doc
WorksheetS 1-4 on Power Series (with derivation of Taylor on WS1).doc
Power Series WS1-4 SOLUTIONS.pdf
VIDEO Lagrange Error Bound
VIDEO More on Error
Notes on Lagrange Error Bound.doc
Worksheet on Power Series and Lagrange Error Bound (2.doc
Lagrange and Error WS SOLUTIONS.pdf
Review SheetS 1-2 on Series.doc
Series Review WS1-2 SOLUTIONS.pdf
Unit 10 - Parametrics, Vectors & Polar
Unit10 calendar.doc
Notes on Graphing Parametric Equations and Eliminating the Parameter.doc
VIDEO Graphing Parametrics
Calc - Worksheet on Parametric Equations and Graphing.doc
Calc - Notes on Parametric Equations and Calculus.doc
VIDEO Parametrics and Calculus
Calc - Worksheet on Parametrics and Calculus.doc
Notes on Vectors.doc
VIDEO on Calculus with Vectors
Calc - Worksheets 1 & 2 on Vectors.doc
Vector Worksheet SOLUTIONS.pdf
Vector Parametric Mult Choice Review SOLUTIONS.pdf
Calc - Notes on Polar.doc
Polar Worksheets 1 - 3.doc
VIDEO Polar Notes Part 1 (Discovery of Graphs with Calculator)
VIDEO Polar Notes Part 2
Derivation of Polar Area Formula.pdf
VIDEO Polar Notes Part 3A
VIDEO Polar Notes Part 3B
Polar WS 1 & 2 SOLUTIONS.pdf
Polar WS 3 SOLUTIONS.pdf
Polar Review WS4 & Mult Choice.doc
Unit 8 - L'Hopital's Rule and Improper Integrals
Unit 8 calendar.doc
Indeterminate Forms and L'Hopital's Rule - Discovery and Exa.doc
VIDEO Indeterminate Forms and L'Hopital's Rule
Calc - Worksheet on L'Hopital's Rule.doc
Examples on Improper Integrals.doc
VIDEO Improper Integrals Notes Part1
VIDEO Improper Integrals Notes Part2
Calc BC - Worksheet on L'Hopital's Rule and Improper Integra.doc
Improper Integrals & L'Hopitals Rule SOLUTIONS.pdf
Unit 7 - Integral as Net Change, Volume & Arc Length
Unit 7 Calendar.pdf
7.1 Notes.doc
VIDEO 7.1 Integral as Net Change
area between curves.ppt
7.2 Notes.doc
Video 7.2 Area Between Curves
7.3 Volume Notes.doc
VIDEO 7.3 Notes Volumes of Cross-Sections
VIDEO 7.3 Notes Volumes of Rotations of Disks & Washers
Volumes by Cross-Sections Animation
Volumes by Rotations Disk Method Animation
Volumes by Rotations Washer Method Animation
7.4 Notes Arc Length.doc
VIDEO 7.4 Notes - Arc Length
Unit 7 Review.doc
Unit 7 Review SOLUTIONS.pdf (all review answers and work)
Unit 6 - Slope Fields & Antidifferentiation Methods
Calc - Notes & Worksheet on Euler's Method.doc
Euler's Method VIDEO
Slope Field Notes & Worksheet.doc (wait for #17 & #18 until after we learn about Separation of Variables)
Slope Field VIDEO
6.2 Worksheet Answers.pdf ****UPDATED Wed Jan 16th****
Notes for Integration by Parts.doc
6.3 Integration by Parts VIDEO Part1
6.3 Integration by Parts VIDEO Part2
6.4A VIDEO Separation of Variables
6.5A VIDEO Partial Fractions Part1
6.5A VIDEO Partial Fractions Part2
Complete Notes & HW below prior to Quiz on Monday, Jan 29th
6.4B NOTES Exponential Growth and Decay.docx
VIDEO 6.4B Exponential Growth & Decay Notes
Homework: p357 #21,25,27,31,32,41,43
Notes on Logistic Growth.doc
VIDEO 6.5B Logistic Growth Notes
Homework worksheets...
Calc - Worksheets 1 and 2 on Logistic Growth.doc
Unit 5B - Fundamental Theorem of Calculus
AP Calculus BC Unit 5B Calendar.doc
WS genl antideriv practice.pdf
Notes and WS 1and2 on First Fund. Theorem.pdf
Class Notes FTC pages 1 & 2.pdf (notes filled in)
Notes and WS 1-2-3 on 2nd Fund. Theorem and Functions defined by integrals.pdf
5.4 Fund Theorem of Calculus Notes VIDEO
FTC&Avg Value Worksheet for 5.4.doc
5.3-5.4 Addt Practice.doc
5.3-4.4 Additional Practice Answer KEY.pdf
Unit 5A - Riemann Sums and the Definite Integral
AP Calculus BC Unit 5A Calendar.doc
Notes - Riemann Sums Equal and Unequal Lesson.doc
Riemann Sums EQ&UNEQ Worksheet.doc
Notes - trapezoidal Rule.doc
trapezoidal rule eq&UnEQ Homework.doc
Notes - Def. Integrals and Sigma.doc (5.2)
5.2 Def Integral Notes VIDEO
Def Int and Prop WS 1.doc
Worksheet 1 VIDEO
Def Int and Prop WS 2.doc
Worksheet 2 VIDEO
unit 5A review.doc
Unit 4B - Graph Characteristcs, Optimization and Related Rates
Multiple Choice AP Packet #1.doc (DUE Tuesday, Oct 30th)
Multiple Choice AP Packet #2.doc (DUE Tuesday, Oct 30th)
Unit 4B Calendar.docx
4.3 Notes.docx
4.3 Notes Video Part1
4.3 Notes Video Part2
1st & 2nd Deriv Test and Justification - Smalley.pdf
Relationships of f f' and f'' - Smalley.pdf
Graph of f f' and f'' - Smalley.pdf
4.4 Notes.doc
4.4 Notes Video
Unit 4B Review & MC #3 Answers.pdf
circle temp video link
Unit 1 - Prerequisites
Unit 1 and 2 Calendar.docx
PreCalculus Topics Reference Sheet.docx
Unit 2 - Limits & Continuity
2.1 Part 1 Notes.doc 2.1 Part 1 Notes Video (Limits)
2.1 Part 2 Notes.doc 2.2 Part 2 Notes Video (Limts)
2.2 Notes.doc 2.2 Notes Video (Limits to Infinity)
Unit 3A - Derivatives & Rates of Change
Unit 3A Calendar.doc
3.1 Notes and Examples.docx
3.2 Notes.docx
3.3 Notes.doc
3.4 Notes Video (Velocity & Other Rates of Change)
Unit 3B - Derivative Rules
Unit 3B Calendar.doc
Foldable Project.docx DUE Thursday Oct 18th!!
No stylus to use on the ipad yet - sorry the notes are a bit sloppy...
3.5 Notes.doc
3.6 Notes.doc
3.7 Notes.docx
3.7 Implicit Differentiation Notes Part 1 Video (no sound - sorry!)
3.7 Implicit Differentiation Notes Part 2 Video
3.8 Derivatives of Inverse Trig Functions Video
3.9 Exponential & Log Derivatives Part 1 Video 3.9 Exponential & Log Derivatives Part 2 (examples) Video
Formula List.doc
Unit 3B mult choice review.docx
Unit 4A - Extrema & Mean Value Theorem
4.1 NOTES.docx
4.1 Extrema Notes Video (mistake at end: Abs min of .5 at x = 0 NOT Abs min of 0 at x = 0)
4.2 Notes.doc
4.2 MVT Video Part 1
4.2 MVT Video Part 2
4.2 MVT Worksheet ANSWER KEY.pdf
temp
From now on, I'll list the units in reverse order, so the current unit will be at the top!!!!....
Unit 3A - Derivatives & Rates of Change
Differentiation Rules.pptx
Trig Memorization Practice 2.ppt
Unit 3B - More Derivative Rules & Techniques
Unit 4A - Extrema and Mean Value Theorem
Unit 4B - Graph Characteristics
Unit 5A - Riemann Sums & Definite Integrals
Unit 5B - Fundamental Theorem of Calculus
WS genl antideriv practice.pdf
Notes and WS 1and2 on First Fund. Theorem.pdf (blank notes and worksheets)
Class Notes FTC pages 1 & 2.pdf
5.3-5.4 Additional Practice Answer Key.pdf
Unit 6 - Slope Fields, Antidifferentiation Methods & Exponential and Logistic Functions
Formula List.pdf
Unit 7 - Integral as Net Change, Area, Volume and Arc Lengths
Online Volume of Cross-Sections Animations
Online Volume Rotation Washer-Method Animation
Units 8 & 10
Polar graph lessons online ...
http://video.google.com/videoplay?docid=-1881657994096218406#
http://video.google.com/videoplay?docid=-1881657994096218406#docid=-7249933582192662615
Polar worksheet answers...
Unit 9 - Series
WorksheetS 1-5 on Power Series (with derivation of Taylor on WS1).pdf
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