Trigonometric unit circle, functions, identities, and integrals

Trigonometric unit circle, functions, identities, and integrals Completed By Date Credit (out

of 50) Formulas, Identities, Values

Important or Illustrative Examples

Proofreading for correctness and relevance

Grading on these study sheets will be ruthless. This is because the entire class is relying on you to produce a quality study sheet. You may not play two roles on the same study sheet. You may work on up to 8 study sheets for credit. By writing your name you certify that the work is your own and not copied from another student (discussions are fine). Instructions: The top area of the sheet is for formulas, identities, and values (e.g., trig values on the unit circle), the relevance depending on the section. The bottom area is for important or interesting examples, of which there should be several. Sign your name after you have (a) verified that the previous person has completed their task, and (b) you have completed your task. If the previous person isn’t done, hand the paper back to them and tell them what is missing. An adequate effort requires writing neatly and not too large. Proofreader: your grade depends on their being no typos, and on the examples being correct, relevant, and not missing anything obviously more important. (Under improper integrals, integrating 1/x^p from 1 to infinity is very important.) Credit: Homeworks will be scaled equally to calculate the final grade. Credit of 50 will be equivalent to ½ the value of a homework score, and added as bonus points to the total number of homework points at the end of the semester (about 1300). In other words, perfect score on 8 study sheets will mean about 3 points added to final grade.

Fundamental Theorem of Calculus and u-substitution

Fundamental Theorem of Calculus and u-substitution Completed By Date Credit (out

of 50) Formulas, Identities, Values

Important or Illustrative Examples

Proofreading for correctness and relevance

Grading on these study sheets will be ruthless. This is because the entire class is relying on you to produce a quality study sheet. You may not play two roles on the same study sheet. You may work on up to 8 study sheets for credit. By writing your name you certify that the work is your own and not copied from another student (discussions are fine). Instructions: The top area of the sheet is for formulas, identities, and values (e.g., trig values on the unit circle), the relevance depending on the section. The bottom area is for important or interesting examples, of which there should be several. Sign your name after you have (a) verified that the previous person has completed their task, and (b) you have completed your task. If the previous person isn’t done, hand the paper back to them and tell them what is missing. An adequate effort requires writing neatly and not too large. Proofreader: your grade depends on their being no typos, and on the examples being correct, relevant, and not missing anything obviously more important. (Under improper integrals, integrating 1/x^p from 1 to infinity is very important.) Credit: Homeworks will be scaled equally to calculate the final grade. Credit of 50 will be equivalent to ½ the value of a homework score, and added as bonus points to the total number of homework points at the end of the semester (about 1300). In other words, perfect score on 8 study sheets will mean about 3 points added to final grade.

Basic integrals

Basic integrals Completed By Date Credit (out

of 50) Formulas, Identities, Values

Important or Illustrative Examples

Proofreading for correctness and relevance

Grading on these study sheets will be ruthless. This is because the entire class is relying on you to produce a quality study sheet. You may not play two roles on the same study sheet. You may work on up to 8 study sheets for credit. By writing your name you certify that the work is your own and not copied from another student (discussions are fine). Instructions: The top area of the sheet is for formulas, identities, and values (e.g., trig values on the unit circle), the relevance depending on the section. The bottom area is for important or interesting examples, of which there should be several. Sign your name after you have (a) verified that the previous person has completed their task, and (b) you have completed your task. If the previous person isn’t done, hand the paper back to them and tell them what is missing. An adequate effort requires writing neatly and not too large. Proofreader: your grade depends on their being no typos, and on the examples being correct, relevant, and not missing anything obviously more important. (Under improper integrals, integrating 1/x^p from 1 to infinity is very important.) Credit: Homeworks will be scaled equally to calculate the final grade. Credit of 50 will be equivalent to ½ the value of a homework score, and added as bonus points to the total number of homework points at the end of the semester (about 1300). In other words, perfect score on 8 study sheets will mean about 3 points added to final grade.

8.8 Improper Integrals

8.8 Improper Integrals Completed By Date Credit (out

of 50) Formulas, Identities, Values

Important or Illustrative Examples

Proofreading for correctness and relevance

Grading on these study sheets will be ruthless. This is because the entire class is relying on you to produce a quality study sheet. You may not play two roles on the same study sheet. You may work on up to 8 study sheets for credit. By writing your name you certify that the work is your own and not copied from another student (discussions are fine). Instructions: The top area of the sheet is for formulas, identities, and values (e.g., trig values on the unit circle), the relevance depending on the section. The bottom area is for important or interesting examples, of which there should be several. Sign your name after you have (a) verified that the previous person has completed their task, and (b) you have completed your task. If the previous person isn’t done, hand the paper back to them and tell them what is missing. An adequate effort requires writing neatly and not too large. Proofreader: your grade depends on their being no typos, and on the examples being correct, relevant, and not missing anything obviously more important. (Under improper integrals, integrating 1/x^p from 1 to infinity is very important.) Credit: Homeworks will be scaled equally to calculate the final grade. Credit of 50 will be equivalent to ½ the value of a homework score, and added as bonus points to the total number of homework points at the end of the semester (about 1300). In other words, perfect score on 8 study sheets will mean about 3 points added to final grade.

8.4 Integration of Rational Functions by Partial Fractions

8.4 Integration of Rational Functions by Partial Fractions Completed By Date Credit (out

of 50) Formulas, Identities, Values

Important or Illustrative Examples

Proofreading for correctness and relevance

Grading on these study sheets will be ruthless. This is because the entire class is relying on you to produce a quality study sheet. You may not play two roles on the same study sheet. You may work on up to 8 study sheets for credit. By writing your name you certify that the work is your own and not copied from another student (discussions are fine). Instructions: The top area of the sheet is for formulas, identities, and values (e.g., trig values on the unit circle), the relevance depending on the section. The bottom area is for important or interesting examples, of which there should be several. Sign your name after you have (a) verified that the previous person has completed their task, and (b) you have completed your task. If the previous person isn’t done, hand the paper back to them and tell them what is missing. An adequate effort requires writing neatly and not too large. Proofreader: your grade depends on their being no typos, and on the examples being correct, relevant, and not missing anything obviously more important. (Under improper integrals, integrating 1/x^p from 1 to infinity is very important.) Credit: Homeworks will be scaled equally to calculate the final grade. Credit of 50 will be equivalent to ½ the value of a homework score, and added as bonus points to the total number of homework points at the end of the semester (about 1300). In other words, perfect score on 8 study sheets will mean about 3 points added to final grade.

8.3 Trigonometric Substitutions

8.3 Trigonometric Substitutions Completed By Date Credit (out

of 50) Formulas, Identities, Values

Important or Illustrative Examples

Proofreading for correctness and relevance

Grading on these study sheets will be ruthless. This is because the entire class is relying on you to produce a quality study sheet. You may not play two roles on the same study sheet. You may work on up to 8 study sheets for credit. By writing your name you certify that the work is your own and not copied from another student (discussions are fine). Instructions: The top area of the sheet is for formulas, identities, and values (e.g., trig values on the unit circle), the relevance depending on the section. The bottom area is for important or interesting examples, of which there should be several. Sign your name after you have (a) verified that the previous person has completed their task, and (b) you have completed your task. If the previous person isn’t done, hand the paper back to them and tell them what is missing. An adequate effort requires writing neatly and not too large. Proofreader: your grade depends on their being no typos, and on the examples being correct, relevant, and not missing anything obviously more important. (Under improper integrals, integrating 1/x^p from 1 to infinity is very important.) Credit: Homeworks will be scaled equally to calculate the final grade. Credit of 50 will be equivalent to ½ the value of a homework score, and added as bonus points to the total number of homework points at the end of the semester (about 1300). In other words, perfect score on 8 study sheets will mean about 3 points added to final grade.

8.2 Trigonometric Integrals

8.2 Trigonometric Integrals Completed By Date Credit (out

of 50) Formulas, Identities, Values

Important or Illustrative Examples

Proofreading for correctness and relevance

Grading on these study sheets will be ruthless. This is because the entire class is relying on you to produce a quality study sheet. You may not play two roles on the same study sheet. You may work on up to 8 study sheets for credit. By writing your name you certify that the work is your own and not copied from another student (discussions are fine). Instructions: The top area of the sheet is for formulas, identities, and values (e.g., trig values on the unit circle), the relevance depending on the section. The bottom area is for important or interesting examples, of which there should be several. Sign your name after you have (a) verified that the previous person has completed their task, and (b) you have completed your task. If the previous person isn’t done, hand the paper back to them and tell them what is missing. An adequate effort requires writing neatly and not too large. Proofreader: your grade depends on their being no typos, and on the examples being correct, relevant, and not missing anything obviously more important. (Under improper integrals, integrating 1/x^p from 1 to infinity is very important.) Credit: Homeworks will be scaled equally to calculate the final grade. Credit of 50 will be equivalent to ½ the value of a homework score, and added as bonus points to the total number of homework points at the end of the semester (about 1300). In other words, perfect score on 8 study sheets will mean about 3 points added to final grade.

8.1 Integration by Parts

8.1 Integration by Parts Completed By Date Credit (out

of 50) Formulas, Identities, Values

Important or Illustrative Examples

Proofreading for correctness and relevance

Grading on these study sheets will be ruthless. This is because the entire class is relying on you to produce a quality study sheet. You may not play two roles on the same study sheet. You may work on up to 8 study sheets for credit. By writing your name you certify that the work is your own and not copied from another student (discussions are fine). Instructions: The top area of the sheet is for formulas, identities, and values (e.g., trig values on the unit circle), the relevance depending on the section. The bottom area is for important or interesting examples, of which there should be several. Sign your name after you have (a) verified that the previous person has completed their task, and (b) you have completed your task. If the previous person isn’t done, hand the paper back to them and tell them what is missing. An adequate effort requires writing neatly and not too large. Proofreader: your grade depends on their being no typos, and on the examples being correct, relevant, and not missing anything obviously more important. (Under improper integrals, integrating 1/x^p from 1 to infinity is very important.) Credit: Homeworks will be scaled equally to calculate the final grade. Credit of 50 will be equivalent to ½ the value of a homework score, and added as bonus points to the total number of homework points at the end of the semester (about 1300). In other words, perfect score on 8 study sheets will mean about 3 points added to final grade.

7.7 Indeterminate Forms and L'Hospital's Rule

7.7 Indeterminate Forms and L'Hospital's Rule Completed By Date Credit (out

of 50) Formulas, Identities, Values

Important or Illustrative Examples

Proofreading for correctness and relevance

Grading on these study sheets will be ruthless. This is because the entire class is relying on you to produce a quality study sheet. You may not play two roles on the same study sheet. You may work on up to 8 study sheets for credit. By writing your name you certify that the work is your own and not copied from another student (discussions are fine). Instructions: The top area of the sheet is for formulas, identities, and values (e.g., trig values on the unit circle), the relevance depending on the section. The bottom area is for important or interesting examples, of which there should be several. Sign your name after you have (a) verified that the previous person has completed their task, and (b) you have completed your task. If the previous person isn’t done, hand the paper back to them and tell them what is missing. An adequate effort requires writing neatly and not too large. Proofreader: your grade depends on their being no typos, and on the examples being correct, relevant, and not missing anything obviously more important. (Under improper integrals, integrating 1/x^p from 1 to infinity is very important.) Credit: Homeworks will be scaled equally to calculate the final grade. Credit of 50 will be equivalent to ½ the value of a homework score, and added as bonus points to the total number of homework points at the end of the semester (about 1300). In other words, perfect score on 8 study sheets will mean about 3 points added to final grade.

7.5 Inverse Trigonometric Functions

7.5 Inverse Trigonometric Functions Completed By Date Credit (out

of 50) Formulas, Identities, Values

Important or Illustrative Examples

Proofreading for correctness and relevance

Grading on these study sheets will be ruthless. This is because the entire class is relying on you to produce a quality study sheet. You may not play two roles on the same study sheet. You may work on up to 8 study sheets for credit. By writing your name you certify that the work is your own and not copied from another student (discussions are fine). Instructions: The top area of the sheet is for formulas, identities, and values (e.g., trig values on the unit circle), the relevance depending on the section. The bottom area is for important or interesting examples, of which there should be several. Sign your name after you have (a) verified that the previous person has completed their task, and (b) you have completed your task. If the previous person isn’t done, hand the paper back to them and tell them what is missing. An adequate effort requires writing neatly and not too large. Proofreader: your grade depends on their being no typos, and on the examples being correct, relevant, and not missing anything obviously more important. (Under improper integrals, integrating 1/x^p from 1 to infinity is very important.) Credit: Homeworks will be scaled equally to calculate the final grade. Credit of 50 will be equivalent to ½ the value of a homework score, and added as bonus points to the total number of homework points at the end of the semester (about 1300). In other words, perfect score on 8 study sheets will mean about 3 points added to final grade.

7.4* General Logarithmic and Exponential Functions

7.4* General Logarithmic and Exponential Functions Completed By Date Credit (out

of 50) Formulas, Identities, Values

Important or Illustrative Examples

Proofreading for correctness and relevance

Grading on these study sheets will be ruthless. This is because the entire class is relying on you to produce a quality study sheet. You may not play two roles on the same study sheet. You may work on up to 8 study sheets for credit. By writing your name you certify that the work is your own and not copied from another student (discussions are fine). Instructions: The top area of the sheet is for formulas, identities, and values (e.g., trig values on the unit circle), the relevance depending on the section. The bottom area is for important or interesting examples, of which there should be several. Sign your name after you have (a) verified that the previous person has completed their task, and (b) you have completed your task. If the previous person isn’t done, hand the paper back to them and tell them what is missing. An adequate effort requires writing neatly and not too large. Proofreader: your grade depends on their being no typos, and on the examples being correct, relevant, and not missing anything obviously more important. (Under improper integrals, integrating 1/x^p from 1 to infinity is very important.) Credit: Homeworks will be scaled equally to calculate the final grade. Credit of 50 will be equivalent to ½ the value of a homework score, and added as bonus points to the total number of homework points at the end of the semester (about 1300). In other words, perfect score on 8 study sheets will mean about 3 points added to final grade.

7.3* The Natural Exponential Function

7.3* The Natural Exponential Function Completed By Date Credit (out

of 50) Formulas, Identities, Values

Important or Illustrative Examples

Proofreading for correctness and relevance

Grading on these study sheets will be ruthless. This is because the entire class is relying on you to produce a quality study sheet. You may not play two roles on the same study sheet. You may work on up to 8 study sheets for credit. By writing your name you certify that the work is your own and not copied from another student (discussions are fine). Instructions: The top area of the sheet is for formulas, identities, and values (e.g., trig values on the unit circle), the relevance depending on the section. The bottom area is for important or interesting examples, of which there should be several. Sign your name after you have (a) verified that the previous person has completed their task, and (b) you have completed your task. If the previous person isn’t done, hand the paper back to them and tell them what is missing. An adequate effort requires writing neatly and not too large. Proofreader: your grade depends on their being no typos, and on the examples being correct, relevant, and not missing anything obviously more important. (Under improper integrals, integrating 1/x^p from 1 to infinity is very important.) Credit: Homeworks will be scaled equally to calculate the final grade. Credit of 50 will be equivalent to ½ the value of a homework score, and added as bonus points to the total number of homework points at the end of the semester (about 1300). In other words, perfect score on 8 study sheets will mean about 3 points added to final grade.

7.2* The Natural Logarithmic Function

7.2* The Natural Logarithmic Function Completed By Date Credit (out

of 50) Formulas, Identities, Values

Important or Illustrative Examples

Proofreading for correctness and relevance

Grading on these study sheets will be ruthless. This is because the entire class is relying on you to produce a quality study sheet. You may not play two roles on the same study sheet. You may work on up to 8 study sheets for credit. By writing your name you certify that the work is your own and not copied from another student (discussions are fine). Instructions: The top area of the sheet is for formulas, identities, and values (e.g., trig values on the unit circle), the relevance depending on the section. The bottom area is for important or interesting examples, of which there should be several. Sign your name after you have (a) verified that the previous person has completed their task, and (b) you have completed your task. If the previous person isn’t done, hand the paper back to them and tell them what is missing. An adequate effort requires writing neatly and not too large. Proofreader: your grade depends on their being no typos, and on the examples being correct, relevant, and not missing anything obviously more important. (Under improper integrals, integrating 1/x^p from 1 to infinity is very important.) Credit: Homeworks will be scaled equally to calculate the final grade. Credit of 50 will be equivalent to ½ the value of a homework score, and added as bonus points to the total number of homework points at the end of the semester (about 1300). In other words, perfect score on 8 study sheets will mean about 3 points added to final grade.

7.1 Inverse Functions

7.1 Inverse Functions Completed By Date Credit (out

of 50) Formulas, Identities, Values

Important or Illustrative Examples

Proofreading for correctness and relevance

Grading on these study sheets will be ruthless. This is because the entire class is relying on you to produce a quality study sheet. You may not play two roles on the same study sheet. You may work on up to 8 study sheets for credit. By writing your name you certify that the work is your own and not copied from another student (discussions are fine). Instructions: The top area of the sheet is for formulas, identities, and values (e.g., trig values on the unit circle), the relevance depending on the section. The bottom area is for important or interesting examples, of which there should be several. Sign your name after you have (a) verified that the previous person has completed their task, and (b) you have completed your task. If the previous person isn’t done, hand the paper back to them and tell them what is missing. An adequate effort requires writing neatly and not too large. Proofreader: your grade depends on their being no typos, and on the examples being correct, relevant, and not missing anything obviously more important. (Under improper integrals, integrating 1/x^p from 1 to infinity is very important.) Credit: Homeworks will be scaled equally to calculate the final grade. Credit of 50 will be equivalent to ½ the value of a homework score, and added as bonus points to the total number of homework points at the end of the semester (about 1300). In other words, perfect score on 8 study sheets will mean about 3 points added to final grade.

12.9 Representations of Functions as Power Series

12.9 Representations of Functions as Power Series Completed By Date Credit (out

of 50) Formulas, Identities, Values

Important or Illustrative Examples

Proofreading for correctness and relevance

Grading on these study sheets will be ruthless. This is because the entire class is relying on you to produce a quality study sheet. You may not play two roles on the same study sheet. You may work on up to 8 study sheets for credit. By writing your name you certify that the work is your own and not copied from another student (discussions are fine). Instructions: The top area of the sheet is for formulas, identities, and values (e.g., trig values on the unit circle), the relevance depending on the section. The bottom area is for important or interesting examples, of which there should be several. Sign your name after you have (a) verified that the previous person has completed their task, and (b) you have completed your task. If the previous person isn’t done, hand the paper back to them and tell them what is missing. An adequate effort requires writing neatly and not too large. Proofreader: your grade depends on their being no typos, and on the examples being correct, relevant, and not missing anything obviously more important. (Under improper integrals, integrating 1/x^p from 1 to infinity is very important.) Credit: Homeworks will be scaled equally to calculate the final grade. Credit of 50 will be equivalent to ½ the value of a homework score, and added as bonus points to the total number of homework points at the end of the semester (about 1300). In other words, perfect score on 8 study sheets will mean about 3 points added to final grade.

12.8 Power Series

12.8 Power Series Completed By Date Credit (out

of 50) Formulas, Identities, Values

Important or Illustrative Examples

Proofreading for correctness and relevance

Grading on these study sheets will be ruthless. This is because the entire class is relying on you to produce a quality study sheet. You may not play two roles on the same study sheet. You may work on up to 8 study sheets for credit. By writing your name you certify that the work is your own and not copied from another student (discussions are fine). Instructions: The top area of the sheet is for formulas, identities, and values (e.g., trig values on the unit circle), the relevance depending on the section. The bottom area is for important or interesting examples, of which there should be several. Sign your name after you have (a) verified that the previous person has completed their task, and (b) you have completed your task. If the previous person isn’t done, hand the paper back to them and tell them what is missing. An adequate effort requires writing neatly and not too large. Proofreader: your grade depends on their being no typos, and on the examples being correct, relevant, and not missing anything obviously more important. (Under improper integrals, integrating 1/x^p from 1 to infinity is very important.) Credit: Homeworks will be scaled equally to calculate the final grade. Credit of 50 will be equivalent to ½ the value of a homework score, and added as bonus points to the total number of homework points at the end of the semester (about 1300). In other words, perfect score on 8 study sheets will mean about 3 points added to final grade.

12.6 Absolute Convergence and the Ratio and Root Tests

12.6 Absolute Convergence and the Ratio and Root Tests Completed By Date Credit (out

of 50) Formulas, Identities, Values

Important or Illustrative Examples

Proofreading for correctness and relevance

Grading on these study sheets will be ruthless. This is because the entire class is relying on you to produce a quality study sheet. You may not play two roles on the same study sheet. You may work on up to 8 study sheets for credit. By writing your name you certify that the work is your own and not copied from another student (discussions are fine). Instructions: The top area of the sheet is for formulas, identities, and values (e.g., trig values on the unit circle), the relevance depending on the section. The bottom area is for important or interesting examples, of which there should be several. Sign your name after you have (a) verified that the previous person has completed their task, and (b) you have completed your task. If the previous person isn’t done, hand the paper back to them and tell them what is missing. An adequate effort requires writing neatly and not too large. Proofreader: your grade depends on their being no typos, and on the examples being correct, relevant, and not missing anything obviously more important. (Under improper integrals, integrating 1/x^p from 1 to infinity is very important.) Credit: Homeworks will be scaled equally to calculate the final grade. Credit of 50 will be equivalent to ½ the value of a homework score, and added as bonus points to the total number of homework points at the end of the semester (about 1300). In other words, perfect score on 8 study sheets will mean about 3 points added to final grade.

12.5 Alternating Series

12.5 Alternating Series Completed By Date Credit (out

of 50) Formulas, Identities, Values

Important or Illustrative Examples

Proofreading for correctness and relevance

Grading on these study sheets will be ruthless. This is because the entire class is relying on you to produce a quality study sheet. You may not play two roles on the same study sheet. You may work on up to 8 study sheets for credit. By writing your name you certify that the work is your own and not copied from another student (discussions are fine). Instructions: The top area of the sheet is for formulas, identities, and values (e.g., trig values on the unit circle), the relevance depending on the section. The bottom area is for important or interesting examples, of which there should be several. Sign your name after you have (a) verified that the previous person has completed their task, and (b) you have completed your task. If the previous person isn’t done, hand the paper back to them and tell them what is missing. An adequate effort requires writing neatly and not too large. Proofreader: your grade depends on their being no typos, and on the examples being correct, relevant, and not missing anything obviously more important. (Under improper integrals, integrating 1/x^p from 1 to infinity is very important.) Credit: Homeworks will be scaled equally to calculate the final grade. Credit of 50 will be equivalent to ½ the value of a homework score, and added as bonus points to the total number of homework points at the end of the semester (about 1300). In other words, perfect score on 8 study sheets will mean about 3 points added to final grade.

12.4 The Comparison Tests

12.4 The Comparison Tests Completed By Date Credit (out

of 50) Formulas, Identities, Values

Important or Illustrative Examples

Proofreading for correctness and relevance

Grading on these study sheets will be ruthless. This is because the entire class is relying on you to produce a quality study sheet. You may not play two roles on the same study sheet. You may work on up to 8 study sheets for credit. By writing your name you certify that the work is your own and not copied from another student (discussions are fine). Instructions: The top area of the sheet is for formulas, identities, and values (e.g., trig values on the unit circle), the relevance depending on the section. The bottom area is for important or interesting examples, of which there should be several. Sign your name after you have (a) verified that the previous person has completed their task, and (b) you have completed your task. If the previous person isn’t done, hand the paper back to them and tell them what is missing. An adequate effort requires writing neatly and not too large. Proofreader: your grade depends on their being no typos, and on the examples being correct, relevant, and not missing anything obviously more important. (Under improper integrals, integrating 1/x^p from 1 to infinity is very important.) Credit: Homeworks will be scaled equally to calculate the final grade. Credit of 50 will be equivalent to ½ the value of a homework score, and added as bonus points to the total number of homework points at the end of the semester (about 1300). In other words, perfect score on 8 study sheets will mean about 3 points added to final grade.

12.3 The Integral Test and Estimates of Sums

12.3 The Integral Test and Estimates of Sums Completed By Date Credit (out

of 50) Formulas, Identities, Values

Important or Illustrative Examples

Proofreading for correctness and relevance

Grading on these study sheets will be ruthless. This is because the entire class is relying on you to produce a quality study sheet. You may not play two roles on the same study sheet. You may work on up to 8 study sheets for credit. By writing your name you certify that the work is your own and not copied from another student (discussions are fine). Instructions: The top area of the sheet is for formulas, identities, and values (e.g., trig values on the unit circle), the relevance depending on the section. The bottom area is for important or interesting examples, of which there should be several. Sign your name after you have (a) verified that the previous person has completed their task, and (b) you have completed your task. If the previous person isn’t done, hand the paper back to them and tell them what is missing. An adequate effort requires writing neatly and not too large. Proofreader: your grade depends on their being no typos, and on the examples being correct, relevant, and not missing anything obviously more important. (Under improper integrals, integrating 1/x^p from 1 to infinity is very important.) Credit: Homeworks will be scaled equally to calculate the final grade. Credit of 50 will be equivalent to ½ the value of a homework score, and added as bonus points to the total number of homework points at the end of the semester (about 1300). In other words, perfect score on 8 study sheets will mean about 3 points added to final grade.

12.2 Series

12.2 Series Completed By Date Credit (out

of 50) Formulas, Identities, Values

Important or Illustrative Examples

Proofreading for correctness and relevance

Grading on these study sheets will be ruthless. This is because the entire class is relying on you to produce a quality study sheet. You may not play two roles on the same study sheet. You may work on up to 8 study sheets for credit. By writing your name you certify that the work is your own and not copied from another student (discussions are fine). Instructions: The top area of the sheet is for formulas, identities, and values (e.g., trig values on the unit circle), the relevance depending on the section. The bottom area is for important or interesting examples, of which there should be several. Sign your name after you have (a) verified that the previous person has completed their task, and (b) you have completed your task. If the previous person isn’t done, hand the paper back to them and tell them what is missing. An adequate effort requires writing neatly and not too large. Proofreader: your grade depends on their being no typos, and on the examples being correct, relevant, and not missing anything obviously more important. (Under improper integrals, integrating 1/x^p from 1 to infinity is very important.) Credit: Homeworks will be scaled equally to calculate the final grade. Credit of 50 will be equivalent to ½ the value of a homework score, and added as bonus points to the total number of homework points at the end of the semester (about 1300). In other words, perfect score on 8 study sheets will mean about 3 points added to final grade.

12.12 Applications of Taylor Polynomials

12.12 Applications of Taylor Polynomials Completed By Date Credit (out

of 50) Formulas, Identities, Values

Important or Illustrative Examples

Proofreading for correctness and relevance

Grading on these study sheets will be ruthless. This is because the entire class is relying on you to produce a quality study sheet. You may not play two roles on the same study sheet. You may work on up to 8 study sheets for credit. By writing your name you certify that the work is your own and not copied from another student (discussions are fine). Instructions: The top area of the sheet is for formulas, identities, and values (e.g., trig values on the unit circle), the relevance depending on the section. The bottom area is for important or interesting examples, of which there should be several. Sign your name after you have (a) verified that the previous person has completed their task, and (b) you have completed your task. If the previous person isn’t done, hand the paper back to them and tell them what is missing. An adequate effort requires writing neatly and not too large. Proofreader: your grade depends on their being no typos, and on the examples being correct, relevant, and not missing anything obviously more important. (Under improper integrals, integrating 1/x^p from 1 to infinity is very important.) Credit: Homeworks will be scaled equally to calculate the final grade. Credit of 50 will be equivalent to ½ the value of a homework score, and added as bonus points to the total number of homework points at the end of the semester (about 1300). In other words, perfect score on 8 study sheets will mean about 3 points added to final grade.

12.10 Taylor and Maclaurin Series

12.10 Taylor and Maclaurin Series Completed By Date Credit (out

of 50) Formulas, Identities, Values

Important or Illustrative Examples

Proofreading for correctness and relevance

Grading on these study sheets will be ruthless. This is because the entire class is relying on you to produce a quality study sheet. You may not play two roles on the same study sheet. You may work on up to 8 study sheets for credit. By writing your name you certify that the work is your own and not copied from another student (discussions are fine). Instructions: The top area of the sheet is for formulas, identities, and values (e.g., trig values on the unit circle), the relevance depending on the section. The bottom area is for important or interesting examples, of which there should be several. Sign your name after you have (a) verified that the previous person has completed their task, and (b) you have completed your task. If the previous person isn’t done, hand the paper back to them and tell them what is missing. An adequate effort requires writing neatly and not too large. Proofreader: your grade depends on their being no typos, and on the examples being correct, relevant, and not missing anything obviously more important. (Under improper integrals, integrating 1/x^p from 1 to infinity is very important.) Credit: Homeworks will be scaled equally to calculate the final grade. Credit of 50 will be equivalent to ½ the value of a homework score, and added as bonus points to the total number of homework points at the end of the semester (about 1300). In other words, perfect score on 8 study sheets will mean about 3 points added to final grade.

12.1 Sequences

12.1 Sequences Completed By Date Credit (out

of 50) Formulas, Identities, Values

Important or Illustrative Examples

Proofreading for correctness and relevance

Grading on these study sheets will be ruthless. This is because the entire class is relying on you to produce a quality study sheet. You may not play two roles on the same study sheet. You may work on up to 8 study sheets for credit. By writing your name you certify that the work is your own and not copied from another student (discussions are fine). Instructions: The top area of the sheet is for formulas, identities, and values (e.g., trig values on the unit circle), the relevance depending on the section. The bottom area is for important or interesting examples, of which there should be several. Sign your name after you have (a) verified that the previous person has completed their task, and (b) you have completed your task. If the previous person isn’t done, hand the paper back to them and tell them what is missing. An adequate effort requires writing neatly and not too large. Proofreader: your grade depends on their being no typos, and on the examples being correct, relevant, and not missing anything obviously more important. (Under improper integrals, integrating 1/x^p from 1 to infinity is very important.) Credit: Homeworks will be scaled equally to calculate the final grade. Credit of 50 will be equivalent to ½ the value of a homework score, and added as bonus points to the total number of homework points at the end of the semester (about 1300). In other words, perfect score on 8 study sheets will mean about 3 points added to final grade.

11.4 Areas and Lengths in Polar Coordinates

11.4 Areas and Lengths in Polar Coordinates Completed By Date Credit (out

of 50) Formulas, Identities, Values

Important or Illustrative Examples

Proofreading for correctness and relevance

Grading on these study sheets will be ruthless. This is because the entire class is relying on you to produce a quality study sheet. You may not play two roles on the same study sheet. You may work on up to 8 study sheets for credit. By writing your name you certify that the work is your own and not copied from another student (discussions are fine). Instructions: The top area of the sheet is for formulas, identities, and values (e.g., trig values on the unit circle), the relevance depending on the section. The bottom area is for important or interesting examples, of which there should be several. Sign your name after you have (a) verified that the previous person has completed their task, and (b) you have completed your task. If the previous person isn’t done, hand the paper back to them and tell them what is missing. An adequate effort requires writing neatly and not too large. Proofreader: your grade depends on their being no typos, and on the examples being correct, relevant, and not missing anything obviously more important. (Under improper integrals, integrating 1/x^p from 1 to infinity is very important.) Credit: Homeworks will be scaled equally to calculate the final grade. Credit of 50 will be equivalent to ½ the value of a homework score, and added as bonus points to the total number of homework points at the end of the semester (about 1300). In other words, perfect score on 8 study sheets will mean about 3 points added to final grade.

11.3 Polar Coordinates

11.3 Polar Coordinates Completed By Date Credit (out

of 50) Formulas, Identities, Values

Important or Illustrative Examples

Proofreading for correctness and relevance

Grading on these study sheets will be ruthless. This is because the entire class is relying on you to produce a quality study sheet. You may not play two roles on the same study sheet. You may work on up to 8 study sheets for credit. By writing your name you certify that the work is your own and not copied from another student (discussions are fine). Instructions: The top area of the sheet is for formulas, identities, and values (e.g., trig values on the unit circle), the relevance depending on the section. The bottom area is for important or interesting examples, of which there should be several. Sign your name after you have (a) verified that the previous person has completed their task, and (b) you have completed your task. If the previous person isn’t done, hand the paper back to them and tell them what is missing. An adequate effort requires writing neatly and not too large. Proofreader: your grade depends on their being no typos, and on the examples being correct, relevant, and not missing anything obviously more important. (Under improper integrals, integrating 1/x^p from 1 to infinity is very important.) Credit: Homeworks will be scaled equally to calculate the final grade. Credit of 50 will be equivalent to ½ the value of a homework score, and added as bonus points to the total number of homework points at the end of the semester (about 1300). In other words, perfect score on 8 study sheets will mean about 3 points added to final grade.

11.2 Calculus with Parametric Curves

11.2 Calculus with Parametric Curves Completed By Date Credit (out

of 50) Formulas, Identities, Values

Important or Illustrative Examples

Proofreading for correctness and relevance

Grading on these study sheets will be ruthless. This is because the entire class is relying on you to produce a quality study sheet. You may not play two roles on the same study sheet. You may work on up to 8 study sheets for credit. By writing your name you certify that the work is your own and not copied from another student (discussions are fine). Instructions: The top area of the sheet is for formulas, identities, and values (e.g., trig values on the unit circle), the relevance depending on the section. The bottom area is for important or interesting examples, of which there should be several. Sign your name after you have (a) verified that the previous person has completed their task, and (b) you have completed your task. If the previous person isn’t done, hand the paper back to them and tell them what is missing. An adequate effort requires writing neatly and not too large. Proofreader: your grade depends on their being no typos, and on the examples being correct, relevant, and not missing anything obviously more important. (Under improper integrals, integrating 1/x^p from 1 to infinity is very important.) Credit: Homeworks will be scaled equally to calculate the final grade. Credit of 50 will be equivalent to ½ the value of a homework score, and added as bonus points to the total number of homework points at the end of the semester (about 1300). In other words, perfect score on 8 study sheets will mean about 3 points added to final grade.

11.1 Curves Defined by Parametric Equations

11.1 Curves Defined by Parametric Equations Completed By Date Credit (out

of 50) Formulas, Identities, Values

Important or Illustrative Examples

Proofreading for correctness and relevance

Grading on these study sheets will be ruthless. This is because the entire class is relying on you to produce a quality study sheet. You may not play two roles on the same study sheet. You may work on up to 8 study sheets for credit. By writing your name you certify that the work is your own and not copied from another student (discussions are fine). Instructions: The top area of the sheet is for formulas, identities, and values (e.g., trig values on the unit circle), the relevance depending on the section. The bottom area is for important or interesting examples, of which there should be several. Sign your name after you have (a) verified that the previous person has completed their task, and (b) you have completed your task. If the previous person isn’t done, hand the paper back to them and tell them what is missing. An adequate effort requires writing neatly and not too large. Proofreader: your grade depends on their being no typos, and on the examples being correct, relevant, and not missing anything obviously more important. (Under improper integrals, integrating 1/x^p from 1 to infinity is very important.) Credit: Homeworks will be scaled equally to calculate the final grade. Credit of 50 will be equivalent to ½ the value of a homework score, and added as bonus points to the total number of homework points at the end of the semester (about 1300). In other words, perfect score on 8 study sheets will mean about 3 points added to final grade.

10.6 Linear Equations

10.6 Linear Equations Completed By Date Credit (out

of 50) Formulas, Identities, Values

Important or Illustrative Examples

Proofreading for correctness and relevance

Grading on these study sheets will be ruthless. This is because the entire class is relying on you to produce a quality study sheet. You may not play two roles on the same study sheet. You may work on up to 8 study sheets for credit. By writing your name you certify that the work is your own and not copied from another student (discussions are fine). Instructions: The top area of the sheet is for formulas, identities, and values (e.g., trig values on the unit circle), the relevance depending on the section. The bottom area is for important or interesting examples, of which there should be several. Sign your name after you have (a) verified that the previous person has completed their task, and (b) you have completed your task. If the previous person isn’t done, hand the paper back to them and tell them what is missing. An adequate effort requires writing neatly and not too large. Proofreader: your grade depends on their being no typos, and on the examples being correct, relevant, and not missing anything obviously more important. (Under improper integrals, integrating 1/x^p from 1 to infinity is very important.) Credit: Homeworks will be scaled equally to calculate the final grade. Credit of 50 will be equivalent to ½ the value of a homework score, and added as bonus points to the total number of homework points at the end of the semester (about 1300). In other words, perfect score on 8 study sheets will mean about 3 points added to final grade.

10.5 The Logistic Equation

10.5 The Logistic Equation Completed By Date Credit (out

of 50) Formulas, Identities, Values

Important or Illustrative Examples

Proofreading for correctness and relevance

Grading on these study sheets will be ruthless. This is because the entire class is relying on you to produce a quality study sheet. You may not play two roles on the same study sheet. You may work on up to 8 study sheets for credit. By writing your name you certify that the work is your own and not copied from another student (discussions are fine). Instructions: The top area of the sheet is for formulas, identities, and values (e.g., trig values on the unit circle), the relevance depending on the section. The bottom area is for important or interesting examples, of which there should be several. Sign your name after you have (a) verified that the previous person has completed their task, and (b) you have completed your task. If the previous person isn’t done, hand the paper back to them and tell them what is missing. An adequate effort requires writing neatly and not too large. Proofreader: your grade depends on their being no typos, and on the examples being correct, relevant, and not missing anything obviously more important. (Under improper integrals, integrating 1/x^p from 1 to infinity is very important.) Credit: Homeworks will be scaled equally to calculate the final grade. Credit of 50 will be equivalent to ½ the value of a homework score, and added as bonus points to the total number of homework points at the end of the semester (about 1300). In other words, perfect score on 8 study sheets will mean about 3 points added to final grade.

10.4 Exponential Growth and Decay

10.4 Exponential Growth and Decay Completed By Date Credit (out

of 50) Formulas, Identities, Values

Important or Illustrative Examples

Proofreading for correctness and relevance

Grading on these study sheets will be ruthless. This is because the entire class is relying on you to produce a quality study sheet. You may not play two roles on the same study sheet. You may work on up to 8 study sheets for credit. By writing your name you certify that the work is your own and not copied from another student (discussions are fine). Instructions: The top area of the sheet is for formulas, identities, and values (e.g., trig values on the unit circle), the relevance depending on the section. The bottom area is for important or interesting examples, of which there should be several. Sign your name after you have (a) verified that the previous person has completed their task, and (b) you have completed your task. If the previous person isn’t done, hand the paper back to them and tell them what is missing. An adequate effort requires writing neatly and not too large. Proofreader: your grade depends on their being no typos, and on the examples being correct, relevant, and not missing anything obviously more important. (Under improper integrals, integrating 1/x^p from 1 to infinity is very important.) Credit: Homeworks will be scaled equally to calculate the final grade. Credit of 50 will be equivalent to ½ the value of a homework score, and added as bonus points to the total number of homework points at the end of the semester (about 1300). In other words, perfect score on 8 study sheets will mean about 3 points added to final grade.

10.3 Separable Equations

10.3 Separable Equations Completed By Date Credit (out

of 50) Formulas, Identities, Values

Important or Illustrative Examples

Proofreading for correctness and relevance

Grading on these study sheets will be ruthless. This is because the entire class is relying on you to produce a quality study sheet. You may not play two roles on the same study sheet. You may work on up to 8 study sheets for credit. By writing your name you certify that the work is your own and not copied from another student (discussions are fine). Instructions: The top area of the sheet is for formulas, identities, and values (e.g., trig values on the unit circle), the relevance depending on the section. The bottom area is for important or interesting examples, of which there should be several. Sign your name after you have (a) verified that the previous person has completed their task, and (b) you have completed your task. If the previous person isn’t done, hand the paper back to them and tell them what is missing. An adequate effort requires writing neatly and not too large. Proofreader: your grade depends on their being no typos, and on the examples being correct, relevant, and not missing anything obviously more important. (Under improper integrals, integrating 1/x^p from 1 to infinity is very important.) Credit: Homeworks will be scaled equally to calculate the final grade. Credit of 50 will be equivalent to ½ the value of a homework score, and added as bonus points to the total number of homework points at the end of the semester (about 1300). In other words, perfect score on 8 study sheets will mean about 3 points added to final grade.

10.2 Direction Fields and Euler's Method

10.2 Direction Fields and Euler's Method Completed By Date Credit (out

of 50) Formulas, Identities, Values

Important or Illustrative Examples

Proofreading for correctness and relevance

Grading on these study sheets will be ruthless. This is because the entire class is relying on you to produce a quality study sheet. You may not play two roles on the same study sheet. You may work on up to 8 study sheets for credit. By writing your name you certify that the work is your own and not copied from another student (discussions are fine). Instructions: The top area of the sheet is for formulas, identities, and values (e.g., trig values on the unit circle), the relevance depending on the section. The bottom area is for important or interesting examples, of which there should be several. Sign your name after you have (a) verified that the previous person has completed their task, and (b) you have completed your task. If the previous person isn’t done, hand the paper back to them and tell them what is missing. An adequate effort requires writing neatly and not too large. Proofreader: your grade depends on their being no typos, and on the examples being correct, relevant, and not missing anything obviously more important. (Under improper integrals, integrating 1/x^p from 1 to infinity is very important.) Credit: Homeworks will be scaled equally to calculate the final grade. Credit of 50 will be equivalent to ½ the value of a homework score, and added as bonus points to the total number of homework points at the end of the semester (about 1300). In other words, perfect score on 8 study sheets will mean about 3 points added to final grade.

10.1 Modeling with Differential Equations

10.1 Modeling with Differential Equations Completed By Date Credit (out

of 50) Formulas, Identities, Values

Important or Illustrative Examples

Proofreading for correctness and relevance

Grading on these study sheets will be ruthless. This is because the entire class is relying on you to produce a quality study sheet. You may not play two roles on the same study sheet. You may work on up to 8 study sheets for credit. By writing your name you certify that the work is your own and not copied from another student (discussions are fine). Instructions: The top area of the sheet is for formulas, identities, and values (e.g., trig values on the unit circle), the relevance depending on the section. The bottom area is for important or interesting examples, of which there should be several. Sign your name after you have (a) verified that the previous person has completed their task, and (b) you have completed your task. If the previous person isn’t done, hand the paper back to them and tell them what is missing. An adequate effort requires writing neatly and not too large. Proofreader: your grade depends on their being no typos, and on the examples being correct, relevant, and not missing anything obviously more important. (Under improper integrals, integrating 1/x^p from 1 to infinity is very important.) Credit: Homeworks will be scaled equally to calculate the final grade. Credit of 50 will be equivalent to ½ the value of a homework score, and added as bonus points to the total number of homework points at the end of the semester (about 1300). In other words, perfect score on 8 study sheets will mean about 3 points added to final grade.