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Calculus

SAT Score Range

28 sessions

This series ended on November 19, 2025. All 1:1 and group chats related to this series are disabled 7 days after the last session.

About

MVC Prep for Tanya V! We'll cover Unit 1 (Differentiation)

Tutored by

Anshul S 🇦🇪

Certified in 6 topics

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Hi, I'm Anshul and I'm a 9th grader 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 hate sports, like watching cat videos when I'm not feeling my best and I always like a good math challenge 😁

Sessions

✋ ATTENDANCE POLICY

Attendance is REQUIRED. There is only one tutor and learner in this series. If you do not attend, it will not happen. Please be respectful of your tutor's time.

SESSION 1

17

Oct

SESSION 1

Office Hours

Office Hours

Fri 1:30 PM - 2:45 PM UTCOct 17, 1:30 PM - 2:45 PM UTC

Partial Derivatives
We'll understand it both by looking at graphs and algebra, and we'll also work through practice questions on a whiteboard. We'll also master the (multivariable) chain rule of differentiation. We'll finish with a review of dot and cross products, and the equations of 3D lines and planes so we can come back to that in our next session about tangent planes and normal lines!
SESSION 2

19

Oct

SESSION 2

Office Hours

Office Hours

Sun 1:45 PM - 2:45 PM UTCOct 19, 1:45 PM - 2:45 PM UTC

Equation of a Plane and Directional Derivatives (or textbook review)

SESSION 3

22

Oct

SESSION 3

Contextual applications of differentiation

Contextual applications of differentiation

Wed 3:15 PM - 4:30 PM UTCOct 22, 3:15 PM - 4:30 PM UTC

3D Graphs (review) and Directional Derivatives
SESSION 4

23

Oct

SESSION 4

Applying derivatives to analyze functions

Applying derivatives to analyze functions

Thu 3:15 PM - 4:15 PM UTCOct 23, 3:15 PM - 4:15 PM UTC

Directional Derivatives (review), Contour Method of 3D Graphing and The Gradient
SESSION 5

24

Oct

SESSION 5

Contextual applications of differentiation

Contextual applications of differentiation

Fri 3:00 PM - 4:15 PM UTCOct 24, 3:00 PM - 4:15 PM UTC

Geometric interpretation of Gradient, Introduction to Tangent Plane, Normal Line and Review of Directional Derivatives
SESSION 6

26

Oct

SESSION 6

General Calculus Q&A

General Calculus Q&A

Sun 12:30 PM - 1:10 PM UTCOct 26, 12:30 PM - 1:10 PM UTC

Quick Revision
SESSION 7

27

Oct

SESSION 7

General Calculus Q&A

General Calculus Q&A

Mon 2:00 PM - 3:15 PM UTCOct 27, 2:00 PM - 3:15 PM UTC

You can ask anything and everything about what we have covered up to this point before we move on to Optimization (maxima minima) and Estimation
SESSION 8

27

Oct

SESSION 8

General Calculus Q&A

General Calculus Q&A

Mon 3:15 PM - 4:30 PM UTCOct 27, 3:15 PM - 4:30 PM UTC

You can ask anything and everything about what we have covered up to this point before we move on to Optimization (maxima minima) and Estimation
SESSION 9

28

Oct

SESSION 9

Applying derivatives to analyze functions

Applying derivatives to analyze functions

Tue 1:15 PM - 2:30 PM UTCOct 28, 1:15 PM - 2:30 PM UTC

Tangent Planes and Review of Single-Variable Optimization
SESSION 10

28

Oct

SESSION 10

Applying derivatives to analyze functions

Applying derivatives to analyze functions

Tue 3:15 PM - 4:35 PM UTCOct 28, 3:15 PM - 4:35 PM UTC

Tangent Planes and Review of Single-Variable Optimization
SESSION 11

29

Oct

SESSION 11

Applying derivatives to analyze functions

Applying derivatives to analyze functions

Wed 2:30 PM - 3:45 PM UTCOct 29, 2:30 PM - 3:45 PM UTC

Review of Tangent Planes and Introduction to Multivariable Optimization
SESSION 12

30

Oct

SESSION 12

Applying derivatives to analyze functions

Applying derivatives to analyze functions

Thu 2:00 PM - 3:20 PM UTCOct 30, 2:00 PM - 3:20 PM UTC

Two-variable Maxima and Minima Problems using First and Second Derivative Tests
SESSION 13

3

Nov

SESSION 13

General Calculus Q&A

General Calculus Q&A

Mon 1:45 PM - 3:00 PM UTCNov 3, 1:45 PM - 3:00 PM UTC

AGENDA:
  • Quick review of First Derivative Test
  • Dealing with weird equations in two variables
  • Introduction to Second Derivative Test
  • Applying Second Derivative Tests (case 1 : without boundaries)
SESSION 14

4

Nov

SESSION 14

General Calculus Q&A

General Calculus Q&A

Tue 2:45 PM - 3:55 PM UTCNov 4, 2:45 PM - 3:55 PM UTC

Second Derivative Test
SESSION 15

5

Nov

SESSION 15

Applying derivatives to analyze functions

Applying derivatives to analyze functions

Wed 2:45 PM - 4:05 PM UTCNov 5, 2:45 PM - 4:05 PM UTC

Global (absolute) Maximization and Minimization WITHIN A BOUNDARY CURVE
  • Review of Single Variable Process in an Interval
  • Comparison between x-interval and boundary curve
  • Reasons to test at Boundary Curves in addition to First-Derivative Contestants
  • Practice Boundary Curve testing alone
  • Solving problems after we get the concept!
SESSION 16

6

Nov

SESSION 16

Applying derivatives to analyze functions

Applying derivatives to analyze functions

Thu 2:45 PM - 4:00 PM UTCNov 6, 2:45 PM - 4:00 PM UTC

-
SESSION 17

7

Nov

SESSION 17

Applying derivatives to analyze functions

Applying derivatives to analyze functions

Fri 2:30 PM - 3:50 PM UTCNov 7, 2:30 PM - 3:50 PM UTC

LAGRANGE MULTIPLIERS AND OPTIMIZATION REVIEW
  • talk about concepts learned this week
  • introduction to lagrange multipliers
  • 3-variable tricky equations
  • review of concepts learned this week
SESSION 18

9

Nov

SESSION 18

General Calculus Q&A

General Calculus Q&A

Sun 3:30 PM - 4:15 PM UTCNov 9, 3:30 PM - 4:15 PM UTC

Review for test
SESSION 19

10

Nov

SESSION 19

General Calculus Q&A

General Calculus Q&A

Mon 4:30 PM - 4:50 PM UTCNov 10, 4:30 PM - 4:50 PM UTC

Review before the test, for any doubts and confusions :)
SESSION 20

11

Nov

SESSION 20

General Calculus Q&A

General Calculus Q&A

Tue 2:45 PM - 4:05 PM UTCNov 11, 2:45 PM - 4:05 PM UTC

Test review, Recap of all topics learned so far and Multivariable Chain Rule
SESSION 21

12

Nov

SESSION 21

General Calculus Q&A

General Calculus Q&A

Wed 1:45 PM - 3:00 PM UTCNov 12, 1:45 PM - 3:00 PM UTC

Divergence and Curl
SESSION 22

12

Nov

SESSION 22

General Calculus Q&A

General Calculus Q&A

Wed 3:45 PM - 4:45 PM UTCNov 12, 3:45 PM - 4:45 PM UTC

Div and Curl
SESSION 23

13

Nov

SESSION 23

General Calculus Q&A

General Calculus Q&A

Thu 1:45 PM - 3:00 PM UTCNov 13, 1:45 PM - 3:00 PM UTC

WE HAVE FINISHED DIFFERENTIATION! But, with your PYQs, we still have some important things to cover that come in the exam. We will start with continuity problems, possibly epsilon-delta proofs, and then we'll finish with a review of important points for 3D Geometry + Lagrange Multipliers problems.
SESSION 24

14

Nov

SESSION 24

Applying derivatives to analyze functions

Applying derivatives to analyze functions

Fri 1:45 PM - 2:55 PM UTCNov 14, 1:45 PM - 2:55 PM UTC

Trying the hardest questions from Differentiation, and discussion about Fourier Series, which is very fun to talk about!
SESSION 25

16

Nov

SESSION 25

General Calculus Q&A

General Calculus Q&A

Sun 3:45 PM - 4:30 PM UTCNov 16, 3:45 PM - 4:30 PM UTC

Review session
SESSION 26

17

Nov

SESSION 26

Integration and accumulation of change

Integration and accumulation of change

Mon 1:45 PM - 2:45 PM UTCNov 17, 1:45 PM - 2:45 PM UTC

Fun and detailed intro to Fourier series on Periodic Functions
SESSION 27

18

Nov

SESSION 27

Applications of integration

Applications of integration

Tue 2:00 PM - 3:30 PM UTCNov 18, 2:00 PM - 3:30 PM UTC

The Fourier Series Formula
  • The Concept
  • Examples on Desmos
  • Orthogonality Principles of Sine and Cosine
  • Fourier Form
  • Deriving Coefficients of the Formula
SESSION 28

19

Nov

SESSION 28

Applications of integration

Applications of integration

Wed 2:00 PM - 3:00 PM UTCNov 19, 2:00 PM - 3:00 PM UTC

Test Review and The Fourier Series Formula

Public Discussion

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Oct 17 - Nov 19

5 weeks

20 - 90 mins

/ session