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Complete Weekly Calculus II

SAT Score Range

16 sessions

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About

Take your calculus skills to the next level! In this weekly 1‑hour Calculus II course, you’ll learn powerful integration techniques, how to find areas, volumes, and work, and explore fascinating topics like polar coordinates and infinite series. 😎🤩🥳

Tutored by

Shijie(Allen) Z 🇺🇸

Certified in 2 topics

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Hi! I’m a high school junior from Wisconsin with a strong passion for mathematics and physics, and a proven track record of excellence. I earned perfect scores in AP Calculus BC, AP Statistics, and both AP Physics C: Mechanics and Electricity & Magnetism, and I’m currently challenging myself with advanced college-level math and physics courses. Beyond coursework, I have extensive experience in mathematics competitions, which have sharpened my problem-solving skills and deepened my love for creative, rigorous thinking. Teaching and sharing knowledge is one of my greatest joys — I love helping others understand difficult concepts and inspiring them to see the beauty in math. Joining Schoolhouse is an exciting step for me to help more students succeed, grow their confidence, and maybe even fall in love with math and physics like I did. Let’s learn together!

✋ ATTENDANCE POLICY

✅ Please make your best effort to attend each session live — your participation makes the class more interactive and fun for everyone!

✅ If you can’t make it to a session, no problem — just let me know when you can.

SESSION 1

17

Aug

SESSION 1

Other Topics

Other Topics

Sun 3:00 PM - 4:00 PM UTCAug 17, 3:00 PM - 4:00 PM UTC

Review of Calc I (Quick review of limits, derivatives, and FTC)
SESSION 2

24

Aug

SESSION 2

Other Topics

Other Topics

Sun 3:00 PM - 4:00 PM UTCAug 24, 3:00 PM - 4:00 PM UTC

u‑Substitution (Learn how to reverse the chain rule when integrating) ❌No Class Next Week
SESSION 3

7

Sep

SESSION 3

Other Topics

Other Topics

Sun 3:00 PM - 4:00 PM UTCSep 7, 3:00 PM - 4:00 PM UTC

Integration by Parts (Tackle products of functions using LIATE)
SESSION 4

14

Sep

SESSION 4

Other Topics

Other Topics

Sun 3:00 PM - 4:00 PM UTCSep 14, 3:00 PM - 4:00 PM UTC

Trigonometric Integrals (Handle powers of sine, cosine, secant, and tangent)
SESSION 5

21

Sep

SESSION 5

Other Topics

Other Topics

Sun 3:00 PM - 4:00 PM UTCSep 21, 3:00 PM - 4:00 PM UTC

Trigonometric Substitution (integrate with radicals via triangle substitutions)
SESSION 6

28

Sep

SESSION 6

Other Topics

Other Topics

Sun 3:00 PM - 4:00 PM UTCSep 28, 3:00 PM - 4:00 PM UTC

Partial Fractions I (Decompose rational functions into simpler pieces)
SESSION 7

5

Oct

SESSION 7

Other Topics

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Sun 3:00 PM - 4:00 PM UTCOct 5, 3:00 PM - 4:00 PM UTC

Partial Fractions II & Improper Integrals (More on decomposition; handle infinite bounds)
SESSION 8

12

Oct

SESSION 8

Other Topics

Other Topics

Sun 3:00 PM - 4:00 PM UTCOct 12, 3:00 PM - 4:00 PM UTC

Numerical Integration (Approximate definite integrals with Trapezoid and Simpson rules)
SESSION 9

19

Oct

SESSION 9

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Sun 3:00 PM - 4:00 PM UTCOct 19, 3:00 PM - 4:00 PM UTC

Applications: Volumes (Find solids of revolution using washers & shells)
SESSION 10

26

Oct

SESSION 10

Other Topics

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Sun 3:00 PM - 4:00 PM UTCOct 26, 3:00 PM - 4:00 PM UTC

Applications: Arc Length & Surface Area (Measure curve lengths and surface areas of revolution)
SESSION 11

2

Nov

SESSION 11

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Sun 4:00 PM - 5:00 PM UTCNov 2, 4:00 PM - 5:00 PM UTC

Center of Mass & Work Model (real‑world force and balance problems)
SESSION 12

9

Nov

SESSION 12

Other Topics

Other Topics

Sun 4:00 PM - 5:00 PM UTCNov 9, 4:00 PM - 5:00 PM UTC

Sequences (Explore limits and behavior of ordered number lists)
SESSION 13

16

Nov

SESSION 13

Other Topics

Other Topics

Sun 4:00 PM - 5:00 PM UTCNov 16, 4:00 PM - 5:00 PM UTC

Infinite Series I (Geometric and p‑series; test for convergence) ❌No Class Next Week
SESSION 14

7

Dec

SESSION 14

Other Topics

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Sun 4:00 PM - 5:00 PM UTCDec 7, 4:00 PM - 5:00 PM UTC

Infinite Series II (Alternating, ratio, and root tests explained)
SESSION 15

14

Dec

SESSION 15

Other Topics

Other Topics

Sun 4:00 PM - 5:00 PM UTCDec 14, 4:00 PM - 5:00 PM UTC

Power Series & Interval of Convergence (Write functions as power series, determine domains)
SESSION 16

21

Dec

SESSION 16

Other Topics

Other Topics

Sun 4:00 PM - 5:00 PM UTCDec 21, 4:00 PM - 5:00 PM UTC

Taylor & Maclaurin Series (Approximate functions with polynomials)

Public Discussion

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Aug 17 - Dec 21

19 weeks

60 mins

/ session

Next session on August 17, 2025

SCHEDULE

Sundays

3:00PM