Sine-taylor-series.gif

Student Info Sheet
Academic Honesty Policy

*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:
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.


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




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



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. external image clip_image002.png
b. external image clip_image004.png
c. external image clip_image006.png

2. Find an expression for external image clip_image008.pngand determine whether the sequence converges.
a. external image clip_image010.png
b. external image clip_image012.png

3. Without using p-series rule, prove that external image clip_image014.png diverges.
4. Calculate the sum external image clip_image016.png so that the estimate differs from the actual sum by less than external image clip_image018.png.
5. For each of the following series, determine whether it converges. If so, find the sum.

a.
external image clip_image020.png
b.
external image clip_image022.png
c.
external image clip_image024.png
d.
external image clip_image026.png
e.
external image clip_image028.png
6. State and prove divergence or convergence for each of the following series.
a.
external image clip_image030.png
b.
external image clip_image032.png
c.
external image clip_image034.png
d.
external image clip_image036.png
e.
external image clip_image038.png
f.
external image clip_image040.png
g.
external image clip_image042.png
h.
external image clip_image044.png
i.
external image clip_image044.png












7. Find the radius and interval of convergence of the following power series.
a.
external image clip_image046.png
b.
external image clip_image048.png
c.
external image clip_image050.png







8. For the series external image clip_image052.png, use the integral test remainder approximation to find a value of N that will ensure the error of the approximation external image clip_image054.png to does not exceed 0.01.
9. Evaluate the indefinite integral external image clip_image056.png as an infinite series.
10. Find a Maclaurin series representation of the function external image clip_image058.png. State the radius and interval of convergence?
11. Find a Taylor series about external image clip_image060.pngfor the function external image clip_image062.png. State the radius and interval of convergence.