Schoolhouse.world: peer tutoring, for free.
Schoolhouse.world: peer tutoring, for free.

Math

Algebra 2 Learning Labs
Pre-Calculus Learning Labs
Pre-Algebra
Algebra 1
Algebra 2
Geometry
Pre-Calculus
Calculus
Statistics

Science

Biology
Chemistry
Physics

More

SAT Bootcamp
College Admissions Workshops
SAT Prep
College Prep
Enrichment
Computer Science
Reading and Writing
History
Free SAT® Prep, as part of a research study.
SAT® Bootcamps
Free SAT® Prep, as part of a research study.
A global network of volunteers.
Explore Tutors
A global network of volunteers.
Get free help applying to college.
College Admissions Workshops
Get free help applying to college.
Why get tutored by other students?
Benefits of Peer Tutoring
Why get tutored by other students?
Prove your mastery and get ready to tutor.
About Certifications
Prove your mastery and get ready to tutor.
Learn, grow, and give back through tutoring.
Become a Tutor
Learn, grow, and give back through tutoring.
How we keep virtual tutoring safe.
Session Safety Measures
How we keep virtual tutoring safe.
Have questions? Search our FAQ.
Help Desk
Have questions? Search our FAQ.
Game nights, product updates, and more.
Community Events
Game nights, product updates, and more.
Stay motivated in virtual study rooms.
Study Spaces
Stay motivated in virtual study rooms.
Check out the community's impact.
Leaderboards
Check out the community's impact.
Testimonials from the Schoolhouse community.
Stories
Testimonials from the Schoolhouse community.
Keep up with our volunteer-run blog.
Blog
Keep up with our volunteer-run blog.
AoPS Calculus

SAT Score Range

•

6 sessions

•

+12

This series was cancelled by the tutor on August 26, 2024. We're very sorry–you can explore more Calculus series here. All 1:1 and group chats related to this series are disabled 7 days after the last session.

About

This is a full course covering the AoPS curriculum for Calculus, that prepares thoroughly for the AP Calculus Exam (Calculus 1 and 2) as well as serves as an introduction to Real Analysis (a full-course on proof-based Calculus).

Sessions are 1h30m three times a week + 1h on Thursdays

Prerequisites:
-Algebra 2 with trig (with previous proof-writing or AoPS course experience preferred but not required)

This course will cover significantly more content than the standard AP Calculus class, placing greater emphasis on mathematical rigour through proofs and very challenging problems than on rote repetition and memorization.

You will still benefit if you already have experience with Calculus because of its radically different emphasis from most Calculus courses.

Syllabus:
Unit 0 - Sets and Functions (Review)
Unit I - Limits and Continuity
Unit II - The Derivative
Unit III - Applications of the Derivative
Unit IV - Integration
Unit V - Infinity
Unit VI - Series
Unit VII - Plane Curves
Unit VIII - Differential Equations
We will use the AoPS Calculus textbook, which I will provide for those unable to get it themselves. We will also supplement from various other sources.

Note: Required reading of 10 pages of reading before each session + homework due for each unit (with feedback).

Tutored by

Jose Roberto Cossich G 🇬🇹

Senior Tutor

Certified in 69 topics

View Profile

A little about me: I'm about the biggest Indie fan there is, I almost exclusively watch (John Hughes>>) 80s movies or the upcoming Star Wars series, and I read sci-fi in my spare time. I tutor for the sake of those aha moments, and have taken Multivariable Calc, Linear Algebra, Real Analysis, and Complex Analysis. Who knows what I'll tutor next, hope to see you soon.

Schedule

✋ ATTENDANCE POLICY

I try to make the session times as accommodating as possible, however make-up sessions are always available. Please feel free to ask for one if you can't attend a session!

SESSION 1

13

Aug

SESSION 1

Other Topics

Other Topics

Tue 12:00 AM - 1:20 AM UTCAug 13, 12:00 AM - 1:20 AM UTC

Review - Sets and Functions
-Sets
-Numbers and intervals
-Functions
-Graphs of functions
-Trigonometric functions
-Basic trigonometric identities
-Exponentials and logarithms
-Review and challenge problems
SESSION 2

15

Aug

SESSION 2

Other Topics

Other Topics

Thu 12:00 AM - 1:20 AM UTCAug 15, 12:00 AM - 1:20 AM UTC

We'll continue last session's topics.
Review - Sets and Functions
-Sets
-Numbers and intervals
-Functions
-Graphs of functions
-Trigonometric functions
-Basic trigonometric identities
-Exponentials and logarithms
-Review and challenge problems
SESSION 3

16

Aug

SESSION 3

Limits and continuity

Limits and continuity

Fri 11:45 PM - Sat, 1:05 AM UTCAug 16, 11:45 PM - Aug 17, 1:05 AM UTC

Unit I - Limits and Continuity
-Epsilon-delta defintion of a limit
-Proving basic limit laws
-Squeeze theorem
-One-sided limits
SESSION 4

19

Aug

SESSION 4

Limits and continuity

Limits and continuity

Mon 11:45 PM - Tue, 1:05 AM UTCAug 19, 11:45 PM - Aug 20, 1:05 AM UTC

-Definition of continuity
-Intermediate Value Theorem
-Boundedness and Extreme Value Theorems
SESSION 5

21

Aug

SESSION 5

Office Hours

Office Hours

Wed 11:45 PM - Thu, 1:05 AM UTCAug 21, 11:45 PM - Aug 22, 1:05 AM UTC

Unit I - Limits and Continuity
-Epsilon-delta defintion of a limit
-Proving basic limit laws
-Squeeze theorem
-One-sided limits
SESSION 6

24

Aug

SESSION 6

Office Hours

Office Hours

Sat 12:45 AM - 2:05 AM UTCAug 24, 12:45 AM - 2:05 AM UTC

-Definition of continuity
-Intermediate Value Theorem
-Boundedness and Extreme Value Theorems

Public Discussion

Please log in to see discussion on this series.

Aug 13 - Aug 24

2 weeks

80 mins

/ session

SCHEDULE

Tuesdays

12:00AM

Thursdays

12:00AM

Fridays

11:45PM

Mondays

11:45PM

Wednesdays

11:45PM

Saturdays

12:45AM