Princeton Computer Science Program

Princeton Computer Science Program

An intensive online computer science program for serious and talented middle and high school students, providing structured exposure to university-level algorithms, machine learning, and frontier artificial intelligence.

Our Philosophy: Understanding the Foundations That Built Today’s Technology

Our Philosophy: Understanding the Foundations That Built Today’s Technology

Computer science is the science of our century. Yet, all too often, computer science education in schools and coding camps stops at syntax and exam-ready exercises, producing students who can, at best, produce a correct program yet do not understand why.

The Princeton Computer Science Program is built for students ready to dive beneath the surface of a superficial education. In our intensive and highly selective environments, students begin by exploring classical foundations—algorithms, data structures, computational theory—before moving toward cutting edge advancements in machine learning, neural networks, transformers, and generative models.

Students will also develop the same habits sought by researchers and engineers working at the frontier of AI: reasoning from first principles, building and interrogating models, designing disciplined experiments, evaluating performance, and diagnosing why systems fail. 

The goal is for students to see themselves not simply as users of AI, but as its future researchers, engineers, and builders.

The Structure

The Princeton Computer Science Program is a selective, intensive 10-session online program for serious and talented middle and high school students, providing structured exposure to university-level computer science. Each week, students participate in:

  • Live Lectures — with an Ivy League or Oxbridge Teaching Fellow (with Recordings)


    Each lecture is taught by a Teaching Fellow currently affiliated with or graduated from a leading US or UK university. The sessions combine conceptual explanation, formal reasoning, worked examples, and live implementation.

    All lectures are conducted live and recorded, allowing students to revisit the material and review technical concepts at their own pace.


  • Live Individual Tutorials — 1:1 with an Ivy League or Oxbridge Teaching Fellow (Scheduled on Demand)


    Alongside group instruction, students have access to a dedicated 30-minute 1:1 tutorial each week, scheduled on demand with one of the Teaching Fellows.

    These tutorials give students individual time to ask questions, receive support with programming assignments, examine alternative approaches to a problem, troubleshoot code, and receive personalized feedback on their final project.

Live Masterclasses — with Ivy League and Oxbridge Professors
During each cohort, students will also be invited to live masterclasses and Q&A sessions with professors and researchers from leading institutions.

These masterclasses introduce students to current developments in computer science and artificial intelligence, allowing them to hear directly from researchers and ask questions about their work, academic journeys, and the future of the field.

Programming Assignments and a Final Project
Students complete five substantial programming assignments designed to translate the ideas introduced in lectures into working implementations. Assignments may include building sorting algorithms, graph-search systems, neural networks, transformers, and machine-learning models.

At Levels 2 and 3, the fifth assignment takes the form of an open-ended final project based on a real dataset. Students begin with a baseline implementation and then experiment with model architecture, training methods, and other design choices to improve its performance.

Possible project areas include recommendation systems, autonomous-vehicle trajectory forecasting, climate forecasting, image generation, and specialized language models.

Princeton Math Program is a selective, intensive 10-session online mathematics program for serious and talented middle and high school students, providing structured exposure to undergraduate-level mathematics. Each week, the students will participate in:

Princeton Math Program is a selective, intensive 10-session online mathematics program for serious and talented middle and high school students, providing structured exposure to undergraduate-level mathematics. Each week, the students will participate in:

  • Live Lectures — Taught by Ivy League and Oxbridge Alumni (with Recordings)


    Each lecture is taught by a Teaching Fellow currently affiliated with or graduated from leading US/UK universities, including the University of Cambridge and Harvard University. The sessions are conducted live and are also recorded, allowing students to revisit and review the material at any time. 

  • Live Individual Tutorials — 1:1 with an Ivy League and Oxbridge Alumni (Scheduled on Demand)


    Alongside weekly group instruction, students also have access to dedicated 1:1 tutorial session each week, which can be scheduled on demand, with one of the Teaching Fellows. These 1:1 tutorials are designed to give each student individual time to ask questions related to the course material, including (but not limited to) targeted problem-solving support, final project, and personalized feedback.

  • Live Lectures — Taught by Ivy League and Oxbridge Alumni (with Recordings)


    Each lecture is taught by a Teaching Fellow currently affiliated with or graduated from leading US/UK universities, including the University of Cambridge and Harvard University. The sessions are conducted live and are also recorded, allowing students to revisit and review the material at any time. 

  • Live Individual Tutorials — 1:1 with an Ivy League and Oxbridge Alumni (Scheduled on Demand)


    Alongside weekly group instruction, students also have access to dedicated 1:1 tutorial session each week, which can be scheduled on demand, with one of the Teaching Fellows. These 1:1 tutorials are designed to give each student individual time to ask questions related to the course material, including (but not limited to) targeted problem-solving support, final project, and personalized feedback.


Course Levels

The Princeton Computer Science Program is offered across three levels to match students’ programming experience, mathematical preparation, and intellectual readiness.

Each level includes five hands-on programming assignments. At Levels 2 and 3, the fifth assignment is a culminating machine-learning project through which students apply and extend what they have learned.

Students should select their level based primarily on their prior experience and the areas of computer science they are most interested in exploring.

Level 1 – Foundations / Algorithms

Level 1 introduces students to the fundamental ideas used to organize, analyze, and solve problems through computation.

Beginning with data structures and algorithmic complexity, students examine how computers store information and how the choice of an algorithm can dramatically affect the time and resources needed to solve a problem. They then explore sorting, searching, binary trees, heaps, graph traversal, shortest-path algorithms, recursion, memoization, and dynamic programming.

The course is taught through concrete problems and implementation. Students may compare the efficiency of sorting algorithms, construct a priority queue for a hospital triage system, use breadth-first and depth-first search to solve a maze, implement a route planner using Dijkstra’s algorithm, and apply dynamic programming to optimization problems.

By the end of the level, students will understand that computer science is not simply about writing code. It is about designing efficient, precise, and general solutions to complex problems.

  • Recommended Grade: Grades 9–10, including strong Grade 8 students; also suitable for older students with limited formal exposure to algorithms.

  • Preparation Benchmark: Basic familiarity with Python or another programming language is recommended. Students should ideally be comfortable with variables, conditionals, loops, functions, and lists. Prior competitive-programming experience is not required.

Level 2 – Deepening / Machine Learning Fundamentals

Level 2 introduces students to the central ideas and architectures underlying modern machine learning.

Students begin by examining how a machine-learning model learns from data and how training, validation, and test data are used to measure performance. They then study linear classifiers, multilayer perceptrons, loss functions, stochastic gradient descent, backpropagation, overparameterization, and the bias-variance trade-off.

The course progresses to convolutional neural networks for computer vision, recurrent neural networks for sequence modeling, and the self-attention mechanisms and transformer architectures that support modern language systems.

Students gain hands-on experience implementing and training different models. Possible assignments include handwritten-digit classification, image classification, character-level language modeling, and machine translation.

During the final sessions, students complete a machine-learning challenge in which they develop, test, and improve a model for a real-world problem.

  • Recommended Grade: Grades 10–11, including advanced Grade 9 and Grade 12 students.

  • Preparation Benchmark: Completion of Level 1 or equivalent experience with Python and algorithmic problem-solving. Students should be comfortable writing and debugging programs and should have a working understanding of algebra, functions, and basic probability.

Level 3 – Advanced / Machine Learning Theory and Generative AI

Level 3 provides a mathematically rigorous exploration of advanced machine learning and the foundations of contemporary artificial intelligence.

Students revisit neural networks and machine-learning foundations at a deeper technical level, examining universal approximation, optimization, generalization, and the mathematical reasons that different models succeed or fail.

The course then explores transformers in depth, including self-attention, multi-head attention, positional encoding, architectural scaling, and the systems involved in training modern large language models. Students examine pre-training, reinforcement learning from human feedback, alignment, and transformer scaling laws.

The final part of the course introduces the foundations of generative artificial intelligence, including variational autoencoders, generative adversarial networks, diffusion models, and emerging research directions such as joint-embedding predictive architectures.

Students implement advanced models and complete an open-ended project in an area such as image generation, language modeling, climate forecasting, or autonomous-vehicle prediction. The level emphasizes not only how modern AI systems are built, but why they work, where they fail, and which questions remain unresolved.

  • Recommended Grade: Grades 11–12, including exceptional Grade 10 students.

  • Preparation Benchmark: Completion of Level 2 or equivalent advanced experience in Python and machine learning. Familiarity with linear algebra, calculus, and probability is strongly recommended. Students applying directly should demonstrate substantial preparation through advanced coursework, independent projects, research, or recognized computer science competitions.

Level 3 provides a full, in-depth exploration of central topics in higher mathematics, with deep engagement in real analysis, linear algebra, and dynamical systems—areas that equip students with the conceptual tools and mathematical maturity needed for advanced study. This level emphasizes independent thinking, sophisticated proof-based reasoning, and advanced problem-solving. Students integrate ideas across multiple mathematical domains and tackle open-ended, research-style problems that demand creativity, rigor, and sustained intellectual effort.

  • Recommended Grade: Grades 11–12 (including exceptional Grade 10)

  • Competition Benchmark: AMC 12 high scores; consistent AIME qualification (e.g. AIME 5+); high rankings or qualification in national-level mathematics competitions (e.g. Olympiad track, national team selection rounds, or equivalent); or preparation for advanced university admissions tests (such as STEP, MAT, or TMUA in UK).


Program Outcome

  • Early Exposure to University - Level Computer Science
    Gain meaningful exposure to algorithms, machine learning, and artificial intelligence at a level rarely available in standard middle or high school courses.

  • A Deeper Understanding of How Computational Systems Work
    Move beyond the use of existing software and learn how algorithms and models are designed, analyzed, implemented, and improved.

  • Independent Computational Thinking Through Applied Projects
    Develop the ability to translate open-ended problems into computational form through substantial programming assignments and a culminating machine-learning project at Levels 2 and 3.

  • Learning from Leading Minds in the Field
    Learn from Teaching Fellows and professors affiliated with leading institutions, gaining insight into how computer science is studied, practiced, and advanced at the highest level.

  • A Network of Like-Minded, Serious Peers
    Become part of a selective intellectual community of students who share a serious interest in computer science, machine learning, and artificial intelligence.

  • Stronger Problem-Solving for Any Future Path
    Develop algorithmic reasoning, quantitative thinking, technical independence, and disciplined experimentation—skills valuable across computer science, mathematics, engineering, scientific research, and future careers.

  • PSI Certificate of Completion
    Upon successful completion of the program, students receive an official certificate issued by the Princeton STEM Initiative, recognizing their academic engagement and achievement.

  • PSI Institutional Recommendations
    Students upon completing Level 3 will receive formal recommendations by Princeton STEM Initiative sent directly to university admissions offices and institutions for advanced academic and other opportunities.


  • PSI Institutional Recommendations
    Students who successfully complete Level 3 will receive a formal institutional recommendation from the Princeton STEM Initiative, sent directly to university admissions offices or other institutions for advanced academic opportunities.

The Schedule (Fall 2026)

All instruction—including both the Lectures and the Individual Tutorial —is delivered entirely online. 

The program includes two integrated components:

  • Live Lecture: Students attend live lecture sessions held on a set schedule. Each session is conducted live and recorded, allowing students to revisit the material at any time.

  • Live Individual Tutorial: Students are encouraged to book one 30-minute 1:1 session per week on demand. These sessions provide personalized time for questions, clarification, targeted problem-solving, and feedback, supporting consistent progress throughout the course.

    This structure allows students worldwide to access Princeton Physics Program while accommodating demanding academic schedules. Students unable to attend a live lecture can review the recording and use the 1:1 Tutorial Sessions to clarify questions and maintain steady progress.

Level 1

Starting Date

September 19, 2026 (every Saturday and Sunday) 

End Date

October 18, 2026 

Cohort #1

Sat & Sun 8:30–10:00 am ET

Cohort #2

Sat & Sun 11:30 am–1:00 pm ET

Level 2

Starting Date

September 19, 2026 (every Saturday and Sunday) 

End Date

October 18, 2026 

Cohort #1

Sat & Sun 8:30–10:00 am ET

Cohort #2

Sat & Sun 11:30 am–1:00 pm ET

Level 3

Starting Date

November 14, 2026 (every Saturday and Sunday) 

End Date

December 13, 2026

Cohort #1

Sat & Sun 8:30–10:00 am ET

Cohort #2

Sat & Sun 11:30 am–1:00 pm ET

Admissions

All applications are reviewed holistically by the Admissions Committee, with careful consideration given not only to academic preparation but also to each student’s commitment to mathematics, intellectual engagement, and readiness for rigorous study.

Fall 2026 Early Admissions Deadline: August 13, 2026 (Thursday)

Fall 2026 Regular Admissions Deadline: September 6, 2026 (Sunday)

All deadlines are at the end of the day in each applicant’s local time zone. Applications submitted in the Early Admissions pool will be prioritized.

Step 1: Submit Your Application

  • Complete the online application form. The applicant will be asked to select the level for which they are applying and respond to questions designed to help us assess their scientific background, mathematical preparation, readiness, and intellectual curiosity.

  • We generally encourage students to begin with Level 1 unless there is clear prior preparation. Students already familiar with Level 1 topics and with substantial formal coursework in related areas may consider applying directly to Level 2.

  • For Level 3, students must either have successfully completed Levels 1 and 2, or their equivalents, or demonstrate exceptional preparation in physics and mathematics.

Step 2: Admissions Committee Review (rolling basis)

  • The Admissions Committee convenes weekly to review each application submitted during the preceding week to determine each applicant's appropriate placement and overall fit for the program.

Step 3: Decision Day (around 10 business days after submission)

  • All applicants will receive an official admission decision around 10 business days after submission. Applicants may receive a deferral or rejection, a place on the internal waitlist, or an official offer letter. Successful applicants will generally be asked to complete enrollment within five business days before the seat is released to the next waitlisted student.

Tuition, Scholarships, and Financial Aid

The program tuition is $1,450 USD for Fall 2026 cohorts.

At present, the Princeton STEM Initiative does not offer financial aid or scholarships for 2026 cohorts. We will be extending financial aid to low income families starting 2027.

Meanwhile, we are actively working with partner schools and institutions to broaden access and expand support pathways in the future. Our goal is to foster mathematical talent and support intellectually curious students through meaningful enrichment opportunities. 

School Funding

We strongly encourage students to speak with their school counselor or mathematics teacher about pursuing advanced mathematical opportunities such as the Princeton Physics Program. Many schools maintain discretionary or academic support funds that may be applied toward programs of this nature. Early engagement with your school can help identify potential avenues of support. If your school requires verification of your application to the Princeton Physics Program, they are welcome to contact us directly.

If you are an educator, teacher, or school leader interested in bringing the Princeton Physics Program to your students, we warmly welcome you to contact us to explore potential school-based partnerships.

For students and families facing financial constraints, we encourage consideration of the following external funding opportunities.

FAQ

Admissions

Is the Princeton Computer Science Program selective?

Yes. In essence, the program functions as a talent-search environment: we aim to bring together students with notable computational ability, intellectual curiosity, and the motivation to engage seriously with demanding ideas.

What does the Admissions Committee look for? Is competition experience required?

Our admissions review focuses on a student’s programming preparation, problem-solving ability, intellectual curiosity, and genuine interest in computer science. Participation in competitions such as USACO or other national and international informatics competitions may be helpful, but it is not required. Independent programming projects, advanced coursework, research experience, or evidence of sustained self-directed learning may also demonstrate readiness. Applicants seeking direct admission to Level 3 must demonstrate preparation equivalent to Levels 1 and 2.

Is there an age requirement for each level?

There is no strict age requirement. The Princeton Computer Science Program is designed to support talented students wherever they may be in their development. Placement is based primarily on programming experience, mathematical preparation, and intellectual readiness. The recommended grade ranges serve as general guidance, but an unusually advanced younger student may be considered for a higher level.

What programming prerequisites are required?

Basic programming familiarity is recommended for Level 1. Students should ideally understand variables, conditionals, loops, functions, and common data structures such as lists. Level 2 requires greater confidence in writing and debugging Python programs. Level 3 assumes substantial programming experience and prior exposure to machine learning or equivalent advanced material.

What mathematical prerequisites are required?

Level 1 requires no advanced mathematics beyond comfort with core middle or early high school mathematics. Level 2 students should be comfortable with algebra, functions, and basic probability. For Level 3, prior exposure to linear algebra, calculus, and probability is strongly recommended because the course examines the mathematical foundations of machine learning in greater depth.

How long do I have access to the lessons?

In most cases, students are encouraged to begin with Level 1. The Level 1 curriculum is designed to establish the style of mathematical thinking and problem-solving approach that the Princeton Math Circle emphasizes. Students who are already extremely familiar with the Level 1 topics and who have completed substantial formal coursework in similar areas may consider applying directly to Level 2. If there is any uncertainty, starting with Level 1 is typically the most appropriate path, and our admissions team is happy to provide guidance if needed.

Is the Princeton Math Circle selective?

Yes. In essence, the program functions as a talent-search environment: we aim to bring together students with notable computational ability, intellectual curiosity, and the motivation to engage seriously with demanding ideas.

What does the Admissions Committee look for? Is competition experience required?

Our admissions review focuses on a student’s programming preparation, problem-solving ability, intellectual curiosity, and genuine interest in computer science. Participation in competitions such as USACO or other national and international informatics competitions may be helpful, but it is not required. Independent programming projects, advanced coursework, research experience, or evidence of sustained self-directed learning may also demonstrate readiness. Applicants seeking direct admission to Level 3 must demonstrate preparation equivalent to Levels 1 and 2.

Is there an age requirement for each level?

There is no strict age requirement. The Princeton Computer Science Program is designed to support talented students wherever they may be in their development. Placement is based primarily on programming experience, mathematical preparation, and intellectual readiness. The recommended grade ranges serve as general guidance, but an unusually advanced younger student may be considered for a higher level.

What programming prerequisites are required?

Basic programming familiarity is recommended for Level 1. Students should ideally understand variables, conditionals, loops, functions, and common data structures such as lists. Level 2 requires greater confidence in writing and debugging Python programs. Level 3 assumes substantial programming experience and prior exposure to machine learning or equivalent advanced material.

What mathematical prerequisites are required?

Level 1 requires no advanced mathematics beyond comfort with core middle or early high school mathematics. Level 2 students should be comfortable with algebra, functions, and basic probability. For Level 3, prior exposure to linear algebra, calculus, and probability is strongly recommended because the course examines the mathematical foundations of machine learning in greater depth.

How long do I have access to the lessons?

In most cases, students are encouraged to begin with Level 1. The Level 1 curriculum is designed to establish the style of mathematical thinking and problem-solving approach that the Princeton Math Circle emphasizes. Students who are already extremely familiar with the Level 1 topics and who have completed substantial formal coursework in similar areas may consider applying directly to Level 2. If there is any uncertainty, starting with Level 1 is typically the most appropriate path, and our admissions team is happy to provide guidance if needed.

Teaching & Learning

What are the learning outcomes of the program?

Students learn to approach computer science as a rigorous intellectual discipline rather than simply as the use of a programming language. Depending on their level, students develop competence in algorithmic analysis, data structures, graph algorithms, dynamic programming, neural networks, transformers, language models, generative models, and machine-learning experimentation. The goal is not merely to cover more material, but to develop computational maturity, technical independence, and disciplined problem-solving habits.

Is the program online or in person?

The program is conducted entirely online. Both the core lectures and Individual Tutorials are delivered live, allowing students to participate regardless of location.

Are lectures recorded?

Yes. All lectures are recorded and made available to enrolled students for review.

How much work is expected outside the lectures?

Each level includes five programming assignments. At Level 1, each assignment is designed to require approximately two to three hours. At Levels 2 and 3, the first four assignments generally require two to three hours each. The fifth assignment is a culminating machine-learning project requiring approximately three to four hours of independent work, although highly motivated students may choose to explore their project in greater depth.

What software will students use?

Level 1 assignments may be completed through Google Colab, which allows students to write and run Python code in a browser. Students in Levels 2 and 3 may use Google Colab or a local Jupyter Notebook environment, depending on the assignment and their technical preparation. Instructions will be provided before the program begins.

Is the Princeton Math Circle selective?

Students learn to approach computer science as a rigorous intellectual discipline rather than simply as the use of a programming language. Depending on their level, students develop competence in algorithmic analysis, data structures, graph algorithms, dynamic programming, neural networks, transformers, language models, generative models, and machine-learning experimentation. The goal is not merely to cover more material, but to develop computational maturity, technical independence, and disciplined problem-solving habits.

Is the program online or in person?

The program is conducted entirely online. Both the core lectures and Individual Tutorials are delivered live, allowing students to participate regardless of location.

Are lectures recorded?

Yes. All lectures are recorded and made available to enrolled students for review.

How much work is expected outside the lectures?

Each level includes five programming assignments. At Level 1, each assignment is designed to require approximately two to three hours. At Levels 2 and 3, the first four assignments generally require two to three hours each. The fifth assignment is a culminating machine-learning project requiring approximately three to four hours of independent work, although highly motivated students may choose to explore their project in greater depth.

What software will students use?

Level 1 assignments may be completed through Google Colab, which allows students to write and run Python code in a browser. Students in Levels 2 and 3 may use Google Colab or a local Jupyter Notebook environment, depending on the assignment and their technical preparation. Instructions will be provided before the program begins.

Princeton Math Program Accepting Applications for Fall 2026

Princeton Math Program Accepting Applications for Fall 2026

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© PRINCETON STEM INITIATIVE 2026, ALL RIGHTS RESERVED

The Princeton STEM Initiative and its programs, including the Princeton Math Program, were founded by faculty members and researchers affiliated with Princeton University and other institutions in the United States and the United Kingdom. The Princeton STEM Initiative and the Princeton Math Program are registered in Princeton, New Jersey, and are independently operated and not affiliated with Princeton University.

© PRINCETON STEM INITIATIVE 2026, ALL RIGHTS RESERVED

The Princeton STEM Initiative and its programs, including the Princeton Math Program, were founded by faculty members and researchers affiliated with Princeton University and other institutions in the United States and the United Kingdom. The Princeton STEM Initiative and the Princeton Math Program are registered in Princeton, New Jersey, and are independently operated and not affiliated with Princeton University.

© PRINCETON STEM INITIATIVE 2026, ALL RIGHTS RESERVED

The Princeton STEM Initiative and its programs, including the Princeton Math Program, were founded by faculty members and researchers affiliated with Princeton University and other institutions in the United States and the United Kingdom. The Princeton STEM Initiative and the Princeton Math Program are registered in Princeton, New Jersey, and are independently operated and not affiliated with Princeton University.