Calculus+2-+WCC

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Student Info Sheet Academic Honesty Policy

1. Illness requiring doctor visit 2. Serious family emergency 3. Court-imposed legal obligations such as subpoenas or jury duty 4. Military obligations 5. Serious weather conditions 6. Religious observances.
 * Students who are absent on the day of an assessment will need to provide documentation that supports a legitimate reason for such an absence.Valid reasons for absences include:

__ **Summer Session 1- 2017** __

Completed Notes
Unit 1 Unit 2 Unit 3 Key- Unit 3- Sequences and Series

**Recordings**
Unit 1 Calc 2 Notes p2 Calc 2 Notes p3 Calc 2 Notes p4 Calc 2 Notes p5 Calc 2 Notes p6,7 Calc 2 Notes p8 Calc 2 Notes p9 Calc 2 Notes p10 Calc 2 Notes p10 #8-11 Calc 2 Notes p19 Calc 2 Notes p20 Calc 2 Notes p21 Calc 2 Notes p21 #1 Calc 2 Notes p22 [|Calc 2 Notes p23] Calc 2 Notes p24 Calc 2 Notes p25 Calc 2 Notes p26 Calc 2 Notes p27 Calc 2 Notes p28 Calc 2 Notes p29 Arc Length Formula Derivation Calc 2 Notes p31 Surface Area Formula Derivation Calc 2 Notes p32

Unit 2 NEWT- no sound Calc 2 Notes p13 Calc 2 Notes p14 #11 Calc 2 Notes p14 complete Calc 2 Notes p15 Calc 2 Notes p16 Calc 2 Notes p16 #4 Calc 2 Notes p17 Calc 2 Notes p17 #7,8 Calc 2 Notes p18 Calc 2 Notes p36 Calc 2 Notes p37 Calc 2 Notes p39-40 Calc 2 Notes p41 Calc 2 Notes p44 Calc 2 Notes p45 Calc 2 Notes p46 Calc 2 Notes p47 #3 Calc 2 Notes p48-49

Unit 3 Calc 2 Notes Unit 3 p2 [|Calc 2 Notes Unit 3 p3] Calc 2 Notes Unit 3 p4 Calc 2 Notes Unit 3 p5 Calc 2 Notes Unit 3 p6 Calc 2 Notes Unit 3 p8 Calc 2 Notes Unit 3 p9 Calc 2 Notes Unit 3 p10 Calc 2 Notes Unit 3 p11 Calc 2 Notes Unit 3 p12 Calc 2 Notes Unit 3 p13 Calc 2 Notes Unit 3 p14 Calc 2 Notes Unit 3 p15 Calc 2 Notes Unit 3 p16 Calc 2 Notes Unit 3 p17 Calc 2 Notes Unit 3 p18 Calc 2 Notes Unit 3 p19 Calc 2 Notes Unit 3 p20 Calc 2 Notes Unit 3 p21 Calc 2 Notes Unit 3 p22 Calc 2 Notes Unit 3 p23 Calc 2 Notes Unit 3 p23 completed Calc 2 Notes Unit 3 p24 Calc 2 Notes Unit 3 p25 Calc 2 Notes Unit 3 p26 Calc 2 Notes Unit 3 p27 Calc 2 Notes Unit 3 p28 Calc 2 Notes Unit 3 p29

__Course Calendar__
media type="custom" key="23317594"

__Extra Practice__
For extra practice with Calc 1 content, click here

Unit 1
WKST-Key- Variation and Differential Equations

WKST- Newton’s Law of Cooling Key- WKST- Newton's Law of Cooling

Wkst- Properties of Definite Integrals Key- Wkst- Properties of Definite Integrals

WKST- Areas Key- WKST- Areas

WKST- Volumes of Solids Key- WKST- Volumes of Solids

WKST- Volumes of Solids 2

WKST- Applications of Integration- Fluid Force Key- WKST- Applications of Integration- Fluid Force

Hydrostatic Force- Problems Hydrostatic Force- Solutions

Unit 2
WKST- U-Substitution Key- WKST- U-Substitution

Wkst- U-Substitution 2

Wkst- Key- Integrals involving Trig Identities

WKST- Integration by Parts Key- WKST- Integration by Parts

WKST- Integration By Parts- 2

WKST- Integration of Fractions including Partial Fractions & Trig Substitutions Key- WKST- Integration of Fractions including Partial Fractions & Trig Substitutions

WKST- Trig Substitution and Partial Fractions

WKST- Recognizing Integrals Key- WKST- Recognizing Integrals

WKST- Improper Integrals Key- WKST- Improper Integrals

WKST-Key- Techniques of Integration- Mixed

Unit 3
adapted from: http://mhscalculusbc.pbworks.com/ WKST-Key- Taylor Polynomials WKST-Key- Taylor Polynomials 2 WKST- Power Series 1

WKST-Key- Power Series 2 WKST-Key- Power Series 3 WKST-Key- Power Series 4 WKST- Radius and Interval of Convergence

__Technology Assignments__
Tech Assignment A- Definite Integrals Tech Assignment B- RAM Tech Assignment C- NEWT

__Review for Test__
Review- Test #1- Definite Integrals, Areas & Volumes Key- Review- Test #1- Definite Integrals, Areas & Volumes

Review- Test #2- Techniques of Integration and Improper Integrals Key- Review- Test #2- Techniques of Integration and Improper Integrals

Review- Test #3- Infinite Sequences and Series Key- Review- Test #3- Infinite Sequences and Series

Final Exam Topics- Calculus 2

You may find the MITOpenCourseware site to be helpful. These chapters are most helpful:

__Bonus__
Due the day of the final

__Remind App__
media type="custom" key="27585516"  Calculus 2 Name: Review- Test #3- Infinite Sequences and Series Date:_ Test #3 Questions: [5 pts each]. Omit 1. You may use ONE 3” by 5’ note card with HANDWRITTEN notes. 1. Sequence convergence. 2. Finding rules for sequences. Determining convergence of sequence. 3. Prove p-series convergence/divergence. 4. Sum of alternating series. Error of alternating series. 5. Determining convergence/divergence of series. Finding sum. 6. Determining and proving convergence/divergence of series. 7. Radius and interval of convergence of power series. 8. Integral test remainder approximation. 9. Integrating infinite series (Maclaurin). 10. Write Maclaurin series. 11. Write Taylor series. Radius and interval of convergence of Taylor series. Bonus: 6x6 KenKen 1. For each of the following sequences, determine whether it converges. If so, find the limit. a. b.  c.    2. Find an expression for  and determine whether the sequence converges. a. b.    3. Without using //p//-series rule, prove that  diverges. 4. Calculate the sum so that the estimate differs from the actual sum by less than. 5. For each of the following series, determine whether it converges. If so, find the sum. 6. State and prove divergence or convergence for each of the following series.
 * a. || [[image:file:///C:/Users/tcann/AppData/Local/Temp/msohtmlclip1/01/clip_image020.png width="49" height="47"]] || b. || [[image:file:///C:/Users/tcann/AppData/Local/Temp/msohtmlclip1/01/clip_image022.png width="85" height="45"]] ||
 * c. || [[image:file:///C:/Users/tcann/AppData/Local/Temp/msohtmlclip1/01/clip_image024.png width="52" height="47"]] || d. || [[image:file:///C:/Users/tcann/AppData/Local/Temp/msohtmlclip1/01/clip_image026.png width="72" height="45"]] ||
 * e. |||||| [[image:file:///C:/Users/tcann/AppData/Local/Temp/msohtmlclip1/01/clip_image028.png width="63" height="51"]] ||
 * a. || [[image:file:///C:/Users/tcann/AppData/Local/Temp/msohtmlclip1/01/clip_image030.png width="77" height="45"]] || b. || [[image:file:///C:/Users/tcann/AppData/Local/Temp/msohtmlclip1/01/clip_image032.png width="103" height="49"]] ||
 * c. || [[image:file:///C:/Users/tcann/AppData/Local/Temp/msohtmlclip1/01/clip_image034.png width="57" height="45"]] || d. || [[image:file:///C:/Users/tcann/AppData/Local/Temp/msohtmlclip1/01/clip_image036.png width="55" height="47"]] ||
 * e. || [[image:file:///C:/Users/tcann/AppData/Local/Temp/msohtmlclip1/01/clip_image038.png width="53" height="47"]] || f. || [[image:file:///C:/Users/tcann/AppData/Local/Temp/msohtmlclip1/01/clip_image040.png width="75" height="53"]] ||
 * g. || [[image:file:///C:/Users/tcann/AppData/Local/Temp/msohtmlclip1/01/clip_image042.png width="79" height="52"]] || h. || [[image:file:///C:/Users/tcann/AppData/Local/Temp/msohtmlclip1/01/clip_image044.png width="93" height="48"]] ||
 * i. |||||| [[image:file:///C:/Users/tcann/AppData/Local/Temp/msohtmlclip1/01/clip_image044.png width="93" height="48"]] ||

7. Find the radius and interval of convergence of the following power series.
 * a. || [[image:file:///C:/Users/tcann/AppData/Local/Temp/msohtmlclip1/01/clip_image046.png width="43" height="47"]] || b. || [[image:file:///C:/Users/tcann/AppData/Local/Temp/msohtmlclip1/01/clip_image048.png width="73" height="51"]] ||
 * c. || [[image:file:///C:/Users/tcann/AppData/Local/Temp/msohtmlclip1/01/clip_image050.png width="113" height="51"]] ||  ||   ||

8. For the series, use the integral test remainder approximation to find a value of N that will ensure the error of the approximation  to does not exceed 0.01. 9. Evaluate the indefinite integral as an infinite series. 10. Find a Maclaurin series representation of the function. State the radius and interval of convergence? 11. Find a Taylor series about for the function. State the radius and interval of convergence.