Calculus-based Kinematics: 1D-3D

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Calculus-based Kinematics: 1D-3D

SAT Score Range

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11 sessions

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About

This series ended on December 29, 2024. All 1:1 and group chats related to this series are disabled 7 days after the last session.

About

We’ll dive deep into kinematics across all dimensions, starting with constant acceleration equations and expanding to projectile motion in 1D, 2D, and 3D. Before each main discussion, I’ll provide a concise review of any necessary prerequisites, such as vector operations or essential calculus concepts, ensuring everyone is on the same page. Each session will focus on building a robust understanding through clear explanations and real-world examples. Practice problems will be assigned at the end of each session—not compulsory, but highly recommended for mastering the material and reinforcing key ideas. Join us for a dynamic journey through motion and its mathematical foundations!

Tutored by

Benyamin S 🇮🇷

Certified in 18 topics

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I'm high school senior who is deeply involved with calculus and physics- from competitions to teaching. I find joy in exercising, playing the piano, and creating things from the knowledge I acquire.

Schedule

✋ ATTENDANCE POLICY

Please do not miss more than two sessions as it can significantly impact your understanding of the topics.

SESSION 1

20

Nov

SESSION 1

Kinematics

Wed 4:30 PM - 5:30 PM UTCNov 20, 4:30 PM - 5:30 PM UTC

In this session, we will go through the introduction to the formulas and some approaches for kinematic problems.

SESSION 2

27

Nov

SESSION 2

Kinematics

Wed 4:30 PM - 5:45 PM UTCNov 27, 4:30 PM - 5:45 PM UTC

Session 1: Basics of kinematics (1D) – introduce derivatives for velocity and acceleration.

SESSION 3

2

Dec

SESSION 3

Kinematics

Mon 4:30 PM - 5:45 PM UTCDec 2, 4:30 PM - 5:45 PM UTC

Session 2: Uniform/non-uniform motion in 1D – introduce integration for displacement and velocity.

SESSION 4

8

Dec

SESSION 4

Kinematics

Sun 5:30 PM - 6:45 PM UTCDec 8, 5:30 PM - 6:45 PM UTC

Session 3: Free-fall motion – apply differentiation and integration to vertical motion under gravity.

SESSION 5

9

Dec

SESSION 5

Kinematics

Mon 5:30 PM - 6:45 PM UTCDec 9, 5:30 PM - 6:45 PM UTC

Session 4: 2D motion introduction – vectors and basic calculus operations on vector components.

SESSION 6

11

Dec

SESSION 6

Kinematics

Wed 4:30 PM - 5:45 PM UTCDec 11, 4:30 PM - 5:45 PM UTC

Session 5: Projectile motion – trajectory analysis using parametric equations and derivatives.

SESSION 7

15

Dec

SESSION 7

Circular motion and gravitation

Sun 4:30 PM - 5:45 PM UTCDec 15, 4:30 PM - 5:45 PM UTC

Session 6: Circular motion – introduce angular velocity/acceleration and differentiate to find relationships.

SESSION 8

18

Dec

SESSION 8

Kinematics

Wed 4:30 PM - 5:45 PM UTCDec 18, 4:30 PM - 5:45 PM UTC

Session 7: Relative velocity – frame transformations using calculus for rate changes.

SESSION 9

22

Dec

SESSION 9

Kinematics

Sun 4:30 PM - 5:45 PM UTCDec 22, 4:30 PM - 5:45 PM UTC

Session 8: 3D motion – vector calculus for position, velocity, and acceleration.

SESSION 10

25

Dec

SESSION 10

Kinematics

Wed 4:30 PM - 5:45 PM UTCDec 25, 4:30 PM - 5:45 PM UTC

Session 9( Final session): Problem-solving and advanced applications – integrate multiple calculus and kinematics concepts.

SESSION 11

29

Dec

SESSION 11

Kinematics

Sun 4:30 PM - 5:30 PM UTCDec 29, 4:30 PM - 5:30 PM UTC

Course's wrap up and our last session!

Public Discussion

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Nov 20 - Dec 29

6 weeks

60 - 75 mins

/ session

SCHEDULE

Wednesdays

4:30PM

Sundays

4:30PM