Schoolhouse.world: peer tutoring, for free.
Schoolhouse.world: peer tutoring, for free.
Schoolhouse.world: peer tutoring, for free.
MULTIVARIABLE CALCULUS (III) (for HS)

SAT Score Range

1 session

✨ Be the first

About

🧭📐 Interested in extending the Calculus you know to the next dimension (literally)? 👇

We will meet twice (or three times) in a week for a complete 12-week course on Multivariable Calculus, also known as Vector Calculus, or Calculus III in an actually fun way, with a clear structure as well. This series is also adaptable to a Q&A approach, if there's demand for that!

This is great for Dual Enrollment students in HS, and even more so for HS students who want to learn something mind-blowingly new and add a few extra variables to their Calculus toolkit!

Scope of the Course: (12+ weeks)
  • 3D Geometry, Vectors, Dot and Cross Products, Equations of Lines and Planes; 1 week
  • Scalar-Valued MV Functions: their Limits, Continuity and Partial Derivatives; 2 weeks
  • Optimization and Linearization of Scalar-Valued Functions (including the method of Lagrange multipliers); 2 weeks
  • Vector-Valued Functions and Differential Operators; 1 week
  • Common Curvilinear Coordinate Systems 1 week
  • Scalar-to-Vector Functions and Parameterizing Curves & Surfaces in 2D and 3D; 1 week
  • Area Integrals, Volume Integrals, Line Integrals and Surface Integrals; 2 weeks
  • Green's Theorem, Gauss's Divergence Theorem and Stokes' Theorem. 2 weeks

Prerequisites:
You should be comfortable with Single-Variable Calculus. Things to brush up on include:
  • Algebra skills (very important!);
  • Geometry and Graphs in 2D;
  • Pre-Calculus (try to learn polar co-ordinates);
  • Calculus, especially a working knowledge of how to compute derivatives and integrals, and a conceptual grasp of optimization problems, limits and continuity.
Don't let the prerequisites scare you. If there are any previous Calc concepts required, I'll give y'all a refresher during tutoring hours.

What can you expect during sessions?
You can expect any one of the following:
  • Proper course structure with weekly homework problems and biweekly sessions.
  • General biweekly "Office Hours" sessions where you can bring practice problems and have them solved with my assistance.
  • A mix of the above, where we'd be meeting more frequently for both covering content and solving presented problems.
The nature of our course will depend on whatever's in demand :)

DISCLAIMER: Due to my age, SHW does not allow college students (or otherwise any adults) to register for this session. I'm sorry for any inconvenience caused!

It has always been my dream to teach Calculus. Hopefully, I'll get to see you participating and satisfied in class! Reach out to me if you have any questions about the series. See you there!

Tutored by

Anshul S 🇦🇪

Certified in 7 topics

View Profile

Hi, I'm Anshul and I'm a high schooler who loves math! 👋 Maybe a bit too much. I'm happy to help with all sorts of math. I honestly love what I do here, and every learner's success keeps me going! 😌 📈📚📖 || 𝐈 𝐭𝐞𝐚𝐜𝐡... || 📖📚 📈 | 𝔁 | Algebra 1 | 𝓯 | Algebra 2 | 𝞹 | Geometry | ∑| Precalculus | Δ | Calculus 1 / AP Calculus AB | ∫ | Calculus 2 / AP Calculus BC | ω | Calculus 3 / Vector Calculus | 𝕚𝕓 | IB Math Applications and Analysis (SL/HL) | 𝓐 | A/AS Level Maths (Normal/Further) (╭ರ_•́)📚 𝐖𝐡𝐚𝐭 𝐈'𝐦 𝐰𝐨𝐫𝐤𝐢𝐧𝐠 𝐨𝐧...📚(•̀_ರ╮) I'm nearing the end of Honors Vector Calculus and Linear Algebra, and I'm just getting started with Real Analysis. I'm using "A Textbook of Vector Calculus" and "Analysis I" (the latter by Terence Tao :D) ╰┈> 𝐄𝐱𝐭𝐫𝐚 𝐭𝐡𝐢𝐧𝐠𝐬 𝐚𝐛𝐨𝐮𝐭 𝐦𝐞...<┈╯ I'm currently in 9th grade and math has dominated my interest since 6th grade. If you want resources to self-study higher-level math, consider Paul's Online Notes in addition to Khan Academy :) I hate sports, like watching cat videos when I'm not feeling my best and I always like a good math challenge 😁

✋ ATTENDANCE POLICY

COURSE SESSIONS

(where content is covered)

It can be hard to recover the time to progress in this course if a session is missed! So, unless you are familiar with the material being covered in a session, please try your best not to miss it!

OFFICE HOUR SESSIONS

(where we do problems)

Attend if you want some guidance when it comes to any problems you have!

SESSION 1

5

May

SESSION 1

General Calculus Q&A

General Calculus Q&A

Tue 6:00 AM - 6:20 AM UTCMay 5, 6:00 AM - 6:20 AM UTC

Placeholder session. This is the date on which we'll have our very first session. (I'm so excited!!!)
Dates will be decided based on YOUR suggestions!

Public Discussion

Please log in to see discussion on this series.

May 5

1 week

20 mins

/ session

Next session on May 5, 2026

SCHEDULE

Tuesday, May 5

6:00AM