Calculus II

APMA 1110 | Sections 001, 002

Problem Sets

Problem sets are typically due in two batches, both on Gradescope.

• Stepwise problems are typically due on Thursday night, 11:59pm
  • You must explicitly list out and annotate “steps” for your solutions. Follow the pattern:
  • StepNumber, EnglishWord(s), MathEquation(s), repeat.
  • The EnglishWord(s) should be a few words stating what is accomplished in the subsequent MathEquation(s).
• Regular problems are typically due on Sunday night, 11:59pm
  • You must show your work, such as you would on a test.
  • You do not need explicit steps and annotations for Regular problems.

Grading Rubric Explainer

• 4% out of 11% CE grade for Stepwise HW submissions
  • Stepwise HW problems are graded with three scores, with numbers like this:
    • “[Clarity] | [Accuracy] | [Logic]”
  • Max scores are “5 | 5 | 5”.
  • For example: “3 | 4 | 5” means 3/5 for Clarity, 4/5 for Accuracy, 5/5 for Logic.
• 7% out of 11% CE grade for Regular HW submissions
  • Regular HW problems are graded with two scores, with numbers like this:
    • “[Clarity] | [Correctness]”
  • Max scores are “5 | 10”. (Comparing to Stepwise, Accuracy takes over from Logic.)
  • For example, you might see: “4 | 8” in Gradescope. Thus clarity is 4/5 and accuracy is 8/10.

Unit 01 - for Test 01

Week	Topics	Notes	Ex.	HW	PPT
01–08/25	Shells | IBP	Web | PDF | N/A	PDF	Web	PDF
02–09/01	Trig powers | Trig sub	Web | PDF | N/A	PDF	Web	PDF
03–09/08	Partial frac | Simpson	Web | PDF | N/A	PDF	Web

Unit 01 - Essential problems

• Your section instructor identifies these from the Problems as illustrative of the most essential concepts and techniques.
• Before the test, focus your study on mastery of these first, then move to all the other Problems.
• All problems and topics are examinable. In no way does this list indicate which specific scenarios or concepts are more likely to appear on a test! The list is not changed to reflect the tests, it is updated rarely.

Integration strategies - extra practice

• Work these before Test 01 for extra practice.
• Solutions (please work through the list in two passes before checking solutions!)

Unit 02 - for Test 02

Week	Topics	Notes	Ex.	HW	PPT
04–09/15	Arc | Revolutions	Web | PDF | Markup	PDF	Web	PDF
05–09/22	Hydro | Work	Web | PDF | Markup	PDF	Web	Hydro | Work
06–09/29	CoM | Infinity	Web | PDF | Markup	PDF	Web	CoM | Infinity

Unit 02 - Essential problems

• Ditto from Unit 01 Essential problems.
• Note: Test 02 is not cumulative: it covers material introduced after Test 01.

Unit 03 - for Test 03

Week	Topics	Notes	Ex.	HW	PPT
07–10/06	Sequences | Series	Web | PDF | Markup	PDF	Web	PDF
08–10/13	Integral test	Web | PDF | Markup	PDF	Web
09–10/20	Comp, Alter, Rat, Root	Web | PDF | Markup	PDF	Web
10–10/27	Power series	Web | PDF | Markup	PDF	Web
11–11/03	Taylor series	Web | PDF | Markup	PDF	Web

Unit 03 - Essential problems

• Ditto from Unit 01 Essential problems.

• Test 03 is not cumulative, it covers material introduced after Test 02.

Unit 04 - for the Final Exam

Week	Topics	Notes	Ex.	Problems	PPT
12–11/10	Parametric	Web | PDF | Markup	Web	Web	PDF
13–11/17	Param calc | Polar	Web | PDF | Markup	PDF	Web
14–11/24	Polar calc	Web | PDF | Markup	PDF	Web
15–12/01	Complex	Web | PDF | Markup	PDF	Web	PDF

Unit 04 - Essential problems

• Ditto from Unit 01 Essential problems.

Final exam:

• The Final Exam is cumulative, it covers all material from the course.
• The Final Exam is taken simultaneously with all sections of APMA 3100.