Week 18 of BC Calculus

Monday Jan 3rd: Holiday

Link to Calendar: 3rd Nine Weeks Calendar

Tuesday Jan 4th:
Notes: 7.2 Introduce Evaluating Volumes by Disks
Link to Notes: Notes on Volume of figures by Disks & Washers
Link to Notes pt 2: Notes on Washers
Assignment: P.463:5,9,11,13,14,17,
19,21,27,29,33,37,39,53

Wed Jan 5th:
Notes: Continue evaluating volumes by Disks
Link to Notes: Volume by Disks Notes pt 2
Link to Assignment: Crosssection and Disk Volume WS

Thu Jan 6th:
Notes: Introduce Volumes by Shells.
Link to Notes: Volume by Shells Notes
Link to assignment: Volumes of Revolution WS (with answers)
Assessment: FORMULA QUIZ

Fri Jan 7th:
Notes: Review Area and Volume
Link to Assignment:  Volume by disks and washers
Link to AP Review: AP Particle Motion Review
(work problem 1)

Week 17 of BC Calculus

Monday:  Review

Tuesday: Exam 6

Wednesday: Exams 2, 4

Thursday: Exams 3,5

Friday: Exams 1,7

Week 16 of BC Calculus

Assignment:  Semester Review WS
Link to Review:First Semester Exam Review

Monday Dec 6th:
Notes: Introduce concept of Slope Fields
Link to Notes: Slope Field notes
Assignment: WS over Slope Fields
Link to WS: Slope Field WS
Link to Slope Field Graphs: Slope Field graph paper

Tuesday Dec. 7th:
Notes: Introduce Eulers Method
Link to Notes: Eulers Notes
Assignment: WS over Eulers Method
Link to WS: Eulers WS

Wednesday Dec. 8th:
Notes: Introduce method for calculating area between curves
Link to Notes: Area between curves Notes
Assignment: WS over areas between curves
Link to WS: 7.1 Area between Curves WS

Thursday Dec 9th:
Notes: Introduce method for Calculating Volumes with Cross-Sectional Areas
Link to Notes: Cross Sectional Areas Notes
Assignment: p. 465: 61 – 63

Friday Dec 10th:
Review for Exams

Week 15 of BC Calculus

Monday Nov 29th:
Notes:  Introduce methods for dealing with bases
other than e. (derivatives and integrals)
Link to Notes:Notes on other bases
Assignment: P.366: 21, 27, 37 - 45 odd, 49 – 59 odd, 61 - 71 all 78


Tuesday Nov 30th:
Notes: Introduce solving differential Equations
Link to Notes: Differential Equation Notes
Assignment: WS on Differential Equations
Link to WS: Problems 1-8  :  WS on Differential Equations

Wednesday Dec 1st:
Notes: Continue work on Differential Equations
Link to Notes: Differential Equation Notes pt 2
Link to WS: Problems 9-16 (same link) Differential Equations WS

Thursday Dec 2nd:
Notes; Applications of Differential Equations
Link to Notes: Applications of Diff. Eqn Notes
Assignment: Appications of differentials
Link to WS: Applications of Differential Equations WS

Friday Dec 3rd:
Go over Differential Equation Homework
Differential Equation Quiz

Week 14 of BC Calculus

Monday 11-22:
Notes: 5.4 Introduce Exponential Functions : Differentiating and Integrating
Link to Notes: Day two notes over 5.4
Assignment:  p.357: 85-109 odd
Make a Review Sheet and work it for Test on Tuesday.

Tuesday 11-23:
TEST over 4.4, 4.6, 5.1, 5.2 : 1st , 2nd  Fundamental Theorems of Calculus
Functions defined as integrals, Derivatives of Natural Logarithms and Integrals of 1/x

Wednesday - Friday: Lets give thanks for CALCULUS!

Week 13 of BC Calculus

Monday Nov 15th:
Notes: 5.1 Introduce Natural Log Differentiation
Link to Natural Logarithm Differentiation Notes
Assignment: P. 329: 14,15,17,21,23,28,33,37,41,
45-59odd, 63,69,71,75,77,81,85


Tuesday Nov 16th:
Notes: 5.2 Introduce Integration of Natural Logs 
Link to Notes:Integration & Natural Log Notes
Assignment:  P. 338: 3-23eoo,31–35 odd,
47 - 53 odd, 61,63,83,89,91

Wednesday Nov 17th:
Notes: Integration and Differentiation of Natural
Assignment: Natural Log Differentiation & Integral Calculus WS
Link to WS: Natural Log Derivative and Integral WS
QUIZ OVER Integration with Data and Functions Defined by Integrals

Thursday Nov 18th:
Notes: 5.3 Introduce Inverse Functions
Link to Notes: Inverse Functions and Derivative Notes
Special Extra notes: Extra Notes
Assignment: P. 347: 32, 42, 71–79 all

Friday Nov 19th:
Notes: 5.4 Introduce Exponential Functions
Link to Notes: Exponential Differentiation Notes
Assignment: P. 356: 1-13 odd, 33 - 59 odd

Week 12 of BC Calculus

Monday Nov 8th:
Notes: Integration using Data
Link to Notes and WS:Integration using Data : Notes and WS
Assignment: Integration during Data WS

Tuesday Nov 9th:
TEST over  U-Substitution & 1st Fund. Thm of Calculus

Wednesday Nov 10th:
Notes: 2nd Fundamental Thm of Calculus
Link to Notes:Notes of 2nd Fund. Thm of Calc
Assignment: 2nd Fund. Thm WS
Link to Assignment:WS on 2nd Fund. Thm of Calc

Thursday Nov 11th:
Notes:  Functions defined by Integrals
Assignment: Functions defined by Integrals WS
Link to Assignment:WS 2 on Functions defined by Integrals
FORMULA QUIZ

Friday Nov 12:
Notes: Functions defined by Integrals
Assignment: Functions defined by Integrals WS 2
Link to Assignment: WS 3 on Functions defined by Integrals

Week 11 of BC Calculus

Monday Nov 1st:
Notes: 4.5 Integration by Substitution
Assignment: WS 2 on Def. Int. & Area
Link to WS:Definite Integrals and Area WS 2

Tuesday Nov 2nd:
Notes:  4.5 Integration by Substitution
Assignment: Worksheet on 4.5
Link to WS:WS Definite Integrals and Area

Wednesday Nov 3rd:
Notes: 1st Fundamental Thm of Calculus
Link to Notes:Notes over FTC
Assignment:  WS on FTC
Link to WS:1st WS on FTC

Thursday Nov 4th:
Notes:  Continue work on FTC
Link to Notes:Notes over FTC
Assignment:  WS of FTC 2
Link to WS:WS 2 on FTC

Friday Nov 5th:
Notes: Introduce Average value of a function
Link to Notes:Notes over Average Value of a function
Assignment: Average Value WS
Link to WS: Average Value of a Function WS

Week 10 BC Calculus

Monday Oct 25:
Notes: 4.2 Introduce estimating Area under a curve
Link to Notes:Area under a curve
Assignment: P.269:27, 29, 63,64
P.255:22, 30 , 40, 64, 94, 95
P.304:12, 16, 38, 46,56

Tuesday Oct 26:
Notes: 4.3 Introduce Reimann Sums
Link to Notes:Reimann Sums Notes
Link to Notes pt. 2: Reimann Sums 2
P. 277:13-43 odd, 30,32,46,47,49
Make a Review Sheet and work it. (due Wed.)


Wednesday Oct 27:
TEST  3.7 – 3.9 Particle Motion


Thursday Oct 28:
Notes:  4.4 Introduce Fundamental Theorem of Calculus
Link to Notes:1st Fundamental Thm of Calculus
P. 291: 1 – 41 odd


Friday Oct 29:
Notes:  4.5 Integration by Substitution
Lnk to Notes:  Another look at Integration
Assignment: Worksheet on Def. Integrals & Area
Link to WS: U-subst WS

Week 9 of BC Calculus

Monday Oct. 18th:
Link to 2nd Nine Weeks Calendar: 2nd Nine Weeks BC Calculus Calendar
Notes: Introduce Concept of Differential
Link to Notes:Differential Notes
Assignment: P. 242: 7-19 odd, 27-33 odd, 43,45

Tuesday Oct. 19th:
Notes: Introduction to Newtons Method
Using tangent lines as approximations
Link to Notes:Newtons Method Notes
Assignment: WS on Newtons Method
Link to WS:Newtons Method and Tangent WS

Wednesday Oct. 20th:
Notes: Finish off 3.7-3.9
Assignment: WS on Particle Motion, Differentials and Newton's Method
Link to Assignment:Differentials / Newtons method WS
Assessment:  Quiz over Differentials, Newtons Method and Motion.

Thursday Oct. 21st:
Notes: Introduce Antiderivatives.
Link to Notes:Antiderivative Notes
Assignment: P.255:15 – 41odd,47, 57, 62, 63, 79, 80

Friday Oct. 22nd:
Notes: Introduce Antidifferentiation with u-substitution
Link to Notes:U-Substitution Notes
Assignment: P. 304: 11 – 37 odd, 43 – 61 odd

Week 8 BC Calculus

Monday Oct. 11:
Notes: Continue Particle Motion
Link to Notes: Particle Motion Notes pt. 2
Assignment:  Particle Motion WS 2
Link: Particle Motion WS 2

Tuesday Oct. 12:
Assessment:  Extrema and Particle Motion Test

Wednesday Oct 13:
Notes: Finish off Particle Motion
Link to Notes:Particle Motion Notes pt 3
Assignment:  Particle Motion WS 3
Link: WS 3 on Particle Motion

Thursday Oct 14:
Notes: Introduce Optimization
Link to Notes:Optimization Notes
Assignment: P. 223:13,19,27,33,41,49


Friday Oct 15:
Notes: Continue Optimization
Link to Notes:Optimization Notes Pt. 2
Assigment: Optimization WS
Link to WS:WS over Optimization

Week 7 BC Calculus

Monday Oct. 4th:
Notes: Second Derivative Test
Link to Notes:2nd Derivative Test Notes
Assignment: Second Der. Test WS
Link to WS: 2nd Derivative Test WS

Tuesday Oct. 5th:
Notes: Symmetry, Asymptotes & Curve Sketching
Link to Notes:Sketching Curves Notes
Assignment: P. 206: 60, 66, 72

Wednesday Oct. 6th:
Notes: Sketching and Analysing f, f ',f ''
Link to Notes: Notes on f , f ' , f ''
Extra Link to Notes: Evaluating 1st and 2nd Derivative notes
Assignment: WS on f, f ', f ''
Link to WS:WS on f, f ',f ''

Thursday Oct. 7th:
Notes: Sketching and Analysing f, f ',f ''
Assignment: WS 2 on f, f ', f ''
Link to WS:WS 2 on f,f ',f ''

Friday Oct. 8th:
Notes: Particle motion Notes
Link to Notes:Particle motion Notes
Assignment: Particle motion WS
Link to WS: Particle Motion WS

Monday Sept 27th:
Notes: 3.1 Extrema on an Interval
Link to Notes:Extrema on an interval Notes
Assignment:  Extrema WS
Link to WS:Extrema WS

Tuesday Sept 28th:
Test (over Differentiation rules and Related Rates)

Wednesday Sept 29th:
Notes: Rolles Thm & Mean Value Theorem
Link to Notes: Rolles Thm Notes
Link to Notes: Mean Value Thrm
Assignment:P.176:1,9,14,15,17, 22,29,31,37,41,42,45

Thursday Sept 30th:
Notes: Introduce the 1st Derivative Test
Link to Notes:Discovery Assignment on 1st Der. Test
Link to Notes:1st Derivative Notes
Assignment: P.186:1, 7, 21, 27, 31-35 odd, 45, 65 – 71odd, 85


Friday Oct 1st:
Notes: Introduce tests for Concavity
Link to Notes: Concavity Notes and 2nd Derivative
Assignment:P.195:11,13,15,19,25,45-48,53,55,58

Monday, Sept 20th:
Topic: Implicit Differentiation
Link to Notes: Implicit Diff. Notes
Assignment: p.146:1-33eoo,45-49odd,65,76,77


Tuesday, Sep 21st:
Topic: Implicit Differentiation part 2
Link to Notes:
Assignment: Implicit Differentiation WS
Link to Worksheet:Implicit Diff. WS (including answers)
Assessment:  Quiz on Power, Product, Quotient Rule

Wednesday, Sep 22nd:
Topic:  Related Rates
Link to Notes:Related Rates Notes
Assignment: p.146: 10,12,50,58  p.154: 3, 15,19, 20,22-24


Thursday, Sep 23rd:
Topic: Related Rates part 2
Link to Notes:Related Rates Notes (Pt. 2)
Assignment: p. 154: 26 – 27, 35, 43, 44, 46


Friday, Sep 24th:
Topic: Related Rates part 3
Link to Notes:Related Rates Setup Notes
Assignment: Related Rates WS
Link to WS:Related Rates WS

Monday Sep. 13th:
Notes:  Properties of Derivatives;
Link to Notes:Properties of Limits Notes
Assignment: P.115: 1, 15 – 65 eoo, 67, 68, 75, 97, 99

Tuesday Sep. 14th:
Assessment:  Test over Derivatives

Wednesday Sep. 15th:
Notes: Introduce Product and Quotient Rule for Derivatives
Link to Notes:Product and Quotient Rule Notes
Assignment: P. 126: 5 – 11 odd, 17,18,29,37 -53eoo,61,71,73,81,82

Thursday Sep. 16th:
Notes: Introduce Chain Rule for Derivatives
Link to Notes: Chain Rule Notes
Assignment: P.137: 9 – 29 eoo, 41,45,53,57,59,
63,73,79,81,91, 97,110,112


Friday Sep. 17th:
Notes: Review over all Derivative rules
Link to Notes:Derivative Review Notes
Assignment: p.117: 109,113 p.127:83,103–109 odd,118,125
128,129–135 odd
Link to Assignment: Book work as a WS

Monday Sep 6th:
Labor Day - Enjoy the break from Calculus!

Tuesday Sep 7th:
Notes: Continue work with derivatives
Link to Notes:More Derivative notes
Assignment: WS 1 on Derivatives
Link to Assignment:WS 1 Over Derivatives

Wednesday Sep 8th:
 Notes: Continue work with derivatives - Calculator usage with Derivatives
Link to Notes:Derivatives and Differentiability
Assignment: WS 2 on Derivatives
Link to Assignment:Worksheet 2 on Derivatives

Thursday Sep 9th:
Notes: Graphical analysis of Derivatives
Link to Calculator Notes:
General 89Calculator notes
TI89 Calculus Notes
Assignment: Graphical Analysis of Derivatives
Link to Assignment:Graphing Derivatives WS
QUIZ(Derivatives)

Friday Sep 10th:
 Notes: Applications of derivatives - Rates of change
Link to Notes:Derivatives using Data / Notes and WS
Assignment: Applications of Derivatives

Monday Aug 30th:
Notes: Finish off work on Limits
Link:Epsilon Delta notes
Assignment:  Worksheet 4 over Limits
Link to WS:WS 4 on Limits

Tuesday Aug 31th:
Notes: Introduce concepts of continuity
Link to Notes:Continuity Notes (IVT)
Assignment: p. 79: 25-28, 37,38,47,50,53,54, 57-60,63,87,89,95

Wednesday Sep 1st:
Notes: Continue work on Continuity and introduce Intermediate Value Theorem
Link to Notes: Extra IVT Notes
Assignment:  Worksheet over IVT
Link to WS:IVT/Continuity/Limit WS
Assessment:  Quiz over Limit WS 1 - 4

Thursday Sep 2nd:
Notes: Introduce concept of Derivative
Link to Notes: Derivative Notes
Assignment: p103: 1-4, 10,34,37-41,43-47

Friday Sep 3rd:
Notes: Continue work on Derivatives
Link to Notes: Derivate Notes part 2
Assignment: p104:19,21,23,71,73,76-79,81-86,94,95

Monday August 23rd:
Turn in Summer Packets
1st Nine Weeks Calender
Link:  1st Nine Weeks Calendar
WS #1 Review over Summer Packet - Part in class / Part HW
Link:   WS #1 Review

Tuesday August 24th:
Notes over Limits - Intutitive definition of limits
Methods to solve limits - Graphically, Numerically, Analytically
Link:  Limit Notes Part 1
WS1 over Limits
Link:  Limit WS 1

Wednesday August 25th:
Notes over Limits Pt. 2
Properties of limits. Squeeze theorm. Trig Theorems
Link:  Limit Notes Part 2
Limit WS # 2
Link:  Limit WS 2

Thursday August 26th:
Summer Packet TEST

Friday August 27th:
Notes over Limits Pt. 3
Review Rational function properties: Asymptotes, Discontinuities.
Link:  Limit Notes Part 3
Limit WS Number 3
Link:  Limit WS 3