International Math & Physics Summer Camp (IMPSC)
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Greetings by the Head Director
Thank you for your interest in the International Math & Physics Summer Camp (IMPSC). I am Dr. Shubhrangshu Dasgupta, a Professor of Physics at the Indian Institutes of Technology (IIT) and the Head Director of both IMC and IMPSC. It is our pleasure to offer this opportunity for high school students in collaboration with the esteemed professors at IIT.
We are organizing a summer camp for students who show exceptional promise in mathematics and physics. Over three weeks of intensive physics and mathematics classes, we aim to provide substantial support to those planning to pursue degrees in science and engineering.
Thank you.
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International Math & Physics Summer Camp (IMPSC)
IMPSC is a three-week online program that focuses on math and physics.
During this 3-week intensive program, you will have the opportunity to enhance your skills in both mathematics and physics.
IIT is a prestigious engineering institution where students must complete 432 credits to graduate. Notably, many CEOs of Silicon Valley companies are IIT alumni, highlighting its world-renowned reputation as a university that nurtures exceptional talent.
We are confident that your proficiency in math and physics will see significant improvement through our IMPSC this summer.
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Application requirements
- All high school students from around the world who are proficient in English.
Application period
- April 15 to May 19, 2024 (EST 23:59)
Camp timeline and schedule
1) July 1 to July 19, 2024
2) Camp Schedule (EST)
- 09:00~11:00 Physics (Dr. Shubhrangshu Dasgupta)
- 11:00~13:00 Math (Dr. Chenda Waghela)
- 14:00~18:00 Assignment Period
- 22:00~24:00 Assignment Q&A (Dr. Karun Mehta)
- 02:00 Assignment Submission
※ We will provide detailed schedules individually to successful applicants. The assignment time and presentation schedule will also be communicated individually.
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Application Information
1st application period) April 15 to April 30, 2024
1) Go to www.imc-impea.org and click "Apply Now!".
2) Complete 2024 IMPSC Personal Information form.
3) Essays and questions will be sent to the student’s personal email. Questions set consists of 6 math problems.
4) A link for submitting a recommendation letter will be sent to the designated school math/science teacher or mentor of the applicant.
5) Apply by submitting an essay (in doc or pdf format), a recent school report card, and your problem solution files via email before the deadline.
2nd application period) May 1 to May 18, 2024
1) Go to www.imc-impea.org and click "Apply Now!".
2) Complete 2024 IMPSC Personal Information form.
3) Essays and questions will be sent to the student’s personal email. Questions set consists of 6 math problems.
4) A link for submitting a recommendation letter will be sent to the designated school math/science teacher or mentor of the applicant.
5) Apply by submitting an essay (in doc or pdf format), a recent school report card, and your problem solution files via email before the deadline.
※ The problems for the 1st and 2nd application periods will be different.
※ Sometimes, due to server overload, there may be instances where uploading recommendation letters is not successful. In such cases, please directly send the recommendation letter in doc, docx, or pdf format to impsc@imc-impea.org. Please name the file "Recommendation_Student Name
Acceptance notification and fees
1. 3-week participation fee: $1,900
2. Acceptance notifications will be sent to students via email whenever feasible.
Information about the International Math & Physics Summer Camp (IMPSC)
1. Certificates of Completion are given to all those who complete the program and achieve a passing grade for the project assignments.
2. Students who demonstrate excellent behavior and achieve outstanding grades will be recognized with Honorary Certificates and a strong letter of recommendation from their mentor or Head Director (depending on achievement level).
3. All classes are held through zoom. Assignments will be submitted via Google Classroom.
4. IMPSC is an intensive and competitive summer camp. Any student displaying poor attitudes will be dismissed from the program.
5. Classes are held 6 times a week from Monday to Saturday.
6. Students will complete college freshman level courses.
7. We will be recruiting approximately 40 to 50 students.
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IMPSC Operations Team
Head Director
Dr. Shubhrangshu Dasgupta
Current: Associate Professor of Physics
Indian Institutes of Technology (IIT) Ropar
Subject: Physics
Math Teacher
Dr. Chenda Waghela
Ph.D., IIT Ropar, Rupnagar
Field of Study: Theoretical Quantum Optics and Quantum Sensing
Teaching Assistant Experience: Various courses at IIT Ropar
Physics & Math Teaching Assistant
Dr. Karun Mehta
Ph.D. in Physics, IIT Ropar, Rupnagar, Punjab, India
Teaching Experience:
- Teaching Assistant (B.Tech, M.Sc.)
- January 2016 - December 2019
- IIT Ropar, Rupnagar, Punjab, India
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Physics Curriculum:
Each topic will be discussed with theory, associated mathematics, and practical applications.
Theme: ‘Oscillations and Vibrations’
Day 1: Kinematics: Projectile motion (Range, Maximum height)
Day 2: Kinematics: Potential energy and stability (Concept of potential, its relation with force, attractors and dynamical equilibrium)
Day 3: Simple harmonic motion (mechanical and electrical oscillators, vector and complex representations, phase, amplitudes, and superposition of the harmonic oscillations); generalized solution of the associated differential equation
Day 4: Damped harmonic oscillation (conservation laws, equation, solutions, energy); quality factor of oscillation
Day 5: Forced damped harmonic oscillation (equation, transient and steady state solution, Fourier method to solve for amplitude and phase spectrum); resonance, energy spectrum, quality factor.
Day 6-7: Central forces (generic concept, two-body problem in terms of an equivalent one-body problem); Force due to gravity; planetary motion, focusing on earth’s motion around the Sun (spherical polar coordinates, equation of motion; its solutions to derive Kepler’s three laws of planetary motion); connecting with concept of stability.
Day 8: Three-dimensional rotation; Orthogonal transformations; Moments of inertia of a rigid body, moments of inertia tensor, product of inertia, momental ellipse
Day 9: Moving frame of reference; introduction of fictitious forces - centrifugal and coriolis forces; air and ocean water flow
Day 10: Physics of spinning top: nutation and precession; stability of a sleeping top (equations and solutions, momentum and energy conservation)
Day 11: Oscillations about equilibrium: Taylor’s series analysis of stable points. Generalized treatment with Lagrangian., Eigenvalues and eigenmodes; Normal modes and normal coordinates.
Day 12: Free vibration of linear diatomic and triatomic molecules.
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Math Curriculum:
Theme: “Matrix, Linear Algebra and Classical Codes”
Examples will be provided along with the theory.
Day 1: Matrices: addition, product, row and column operations, rank
Day 2: Linear equations: Solution with matrices. Uniqueness criteria of the solutions
Day 3: Matrix transpose and inverse. Necessary and sufficient condition for existence of an inverse.
Day 4: Fields: general properties, number fields, real and complex fields, modular addition and multiplication
Day 5: Vector space: properties, operations, inner products, orthogonality, hermiticity
Day 6: Linear independence in a finite-dimensional vector space. Basis, dimension theorem
Day 7: Sum and intersections of vector spaces. Direct sum.
Day 8: Linear transformations: definitions, examples, general properties
Day 9: Geometry of linear transformations, orthogonal transformations, change in basis
Day 10: Matrix transformations. Isomorphism of transformations.
Day 11: Determinant, Cramer’s rule, permutation matrices, determinant of a linear transformation
Day 12: Vector products, Volumes in terms of determinant. Lewis-Carroll’s identity.
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