Session One
15-26 June 2026
Weekday meeting window: 4-7 p.m. PDT; two-hour class plus office-hour window.
Online Program
Number Theory Online Course
by Stanford Pre-Collegiate Studies
Study integers and their patterns through Stanford's proof-focused mathematics course, with practice presenting solutions and explaining ideas to peers.
Last verified: 6 Oct 2026Reviewed by:SSSean Stevens
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Number Theory Online Course at a glance: cost, dates and eligibility
Current status
Upcoming
Eligibility
Grades 9-11; completed pre-calculus
Age range / Year group
Ages 14-17
Location / Region
Online
Cost
$3,200
Duration
2 weeks
Format
Online
Sessions / cadence: Weekdays: 2-hour classes; 2-3-hour daily homework
Latest verified cycle: 2026
Support model: Online office hours
Study activities: Proofs, solution presentations, assignments, projects
Time-zone model: Pacific Time; session-specific windows
Number Theory Online Course summary
Stanford Pre-Collegiate Summer Institutes' Number Theory course explores integers through investigation and proof. The emphasis is on understanding why mathematical patterns hold.
Students practice writing proofs, presenting solutions, and explaining concepts to peers. It suits learners who enjoy mathematical reasoning and want to move beyond routine calculations.
What is Number Theory Online Course?
Number Theory Online Course is a Stanford Pre-Collegiate Summer Institutes course focused on integers and their properties. Students investigate patterns and relationships, develop hypotheses, and work toward mathematical proofs.
The course combines live online classes with independent assignments and projects. Its learning goals include writing proofs, presenting problem solutions, and communicating mathematical ideas clearly with peers.
Why Succeed highlights Number Theory Online Course
The observe-investigate-hypothesize-prove approach gives students a clear route from noticing patterns to justifying them.
Proof writing and solution presentations build mathematical communication alongside subject knowledge.
Online office hours provide a scheduled support channel beyond the live class.
Explicit daily homework expectations help families judge the real study commitment.
Who is Number Theory Online Course for?
Best for
Students who enjoy investigating mathematical patterns and want practice constructing proofs and explaining solutions.
Not ideal if
You mainly want routine calculation practice or cannot sustain substantial independent work alongside live classes.
Is Number Theory Online Course worth it?
This course is worth considering if your goal is deeper mathematical reasoning. Its focus on proof writing, presenting solutions, and discussing ideas offers a concrete way to develop beyond procedural exercises.
The workload requires a meaningful daily commitment, so fit depends on your other responsibilities and willingness to work independently. Judge the experience by what you learn and can explain afterward; Stanford's undergraduate admissions process is separate, and participation does not guarantee admission.
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A practical overview of cost, time commitment, provider details, student outcomes and online support to review before deciding.
Cost and what is included
$3,200.
Dates and time commitment
2 weeks; Weekdays: 2-hour classes; 2-3-hour daily homework.
Provider details
Review the Stanford Pre-Collegiate Studies provider page and official sources before making a final decision.
What the student gains
Potential output: Program output. Check whether feedback, certificate, recommendation or application evidence is included.
Online support and safeguarding
Check how online sessions are supervised, how mentor communication works, and what support route exists if the student needs help.
What to check before committing
Confirm current dates, session schedule, payment terms, cancellation rules, support expectations and what output or certificate is included with the provider.
Compare this program with similar options before deciding on dates, cost, format and fit.
Compare with similar programsHow much preparation does Number Theory Online Course need?
Effort level
High.
Best started
Begin gathering transcripts and choosing a work sample several weeks before your intended application cycle.
Main challenge
Turning observations about integers into convincing proofs.
Typical preparation
Review your pre-calculus foundations before tackling unfamiliar proof problems.
Practice explaining each step of a solution in writing.
Choose a work sample that meets the selected course's application instructions.
Plan a daily study routine around the session's Pacific Time meeting window.
Useful if
You want to strengthen mathematical reasoning and communication.
What do students do on Number Theory Online Course?
You investigate patterns in integers and develop mathematical explanations for them. Live classes, independent assignments and projects, and solution presentations give you practice moving from conjecture to proof.
Step-by-step process
- 1
Observe patterns and relationships in integers.
- 2
Investigate examples and formulate hypotheses.
- 3
Construct proofs that justify your conclusions.
- 4
Present solutions and discuss mathematical concepts with peers.
- 5
Complete independent assignments and projects outside class.
Number Theory Online Course dates and deadlines
Next cycle not announced yet. These dates are from the latest verified cycle and should be used as a reference only.
Reference date
Session Two
6-17 July 2026
Weekday meeting window: 8-11 a.m. PDT; two-hour class plus office-hour window.
| Milestone | Date | Timezone | Status | |
|---|---|---|---|---|
Session One | 15-26 June 2026 | Local | Reference date | |
Session Two | 6-17 July 2026 | Local | Reference date |
Eligibility and requirements
Be in Grades 9-11 at the time of application.
Have completed mathematics courses through pre-calculus.
Attend only one course if admitted.
How much does Number Theory Online Course cost?
Financial aid
Domestic and international participants — Aid can be awarded to participants from both groups.
How to apply to Number Theory Online Course
- 1
Review the grade requirement, pre-calculus prerequisite, and official admissions instructions.
- 2
Select Number Theory in the online application and write your own responses.
- 3
Upload recent grade reports and transcripts, plus a work sample meeting the course's application requirements.
- 4
Add standardized test scores only if you choose to submit them.
- 5
Have a parent or legal guardian review and sign the completed application.
- 6
Check all materials, submit the application, and pay the application fee.
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Learning format
Students attend a two-hour live online class Monday-Friday and should plan for two to three additional hours of assignments and projects each day. Session One uses a 4-7 p.m. PDT meeting window and Session Two an 8-11 a.m. PDT window, with the third hour reserved for online office hours.
Students attend one section and time; exact class times and office-hour schedules are set closer to the program start.
Mentorship and feedback
Online office hours use the third hour of the published meeting window.
The exact office-hour schedule is set closer to the program start.
Peer communication is part of the course's stated learning goals.
Time-zone considerations
- Published meeting windows use Pacific Daylight Time.
- Session One's weekday window is 4-7 p.m. PDT.
- Session Two's weekday window is 8-11 a.m. PDT.
- Students attend one assigned section and time.
- Allow two to three hours daily for independent assignments and projects.
Assessment style
Coursework includes independent assignments and projects, alongside practice writing proofs and presenting mathematical solutions.
- Complete assignments outside live class time.
- Work on independent course projects.
- Practice writing mathematical proofs.
- Present solutions and explain mathematical concepts.
Portfolio and outputs
Main deliverable / output
Program output
Practice producing written mathematical proofs.
Present solutions to mathematical problems.
Number Theory Online Course FAQs
Number theory studies integers and their properties. Students investigate patterns, formulate hypotheses, and develop proofs while practicing mathematical communication.
Students must have completed mathematics courses through pre-calculus.
The course has a two-hour live class Monday-Friday, plus two to three hours of daily assignments and projects. The third hour of the published meeting window is used for online office hours.
No. Scores are optional for domestic and international applicants, and there is no fixed test-score or GPA cutoff.
Applicants must complete all responses themselves. Parents or legal guardians review the completed application and sign it afterward.
Yes. Financial aid can be awarded to both domestic and international participants.
No. Stanford University's undergraduate admissions process is separate and independent from Stanford Pre-Collegiate Studies, and participation does not guarantee admission.
Students admitted to Summer Institutes may attend only one course. Applicants should list only courses they are interested in attending.
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Save this program in Succeed to compare it with similar programs, dates, costs and formats in one place.
Compare with other programsContent reviewed by
Sean Stevens
Co-founder, Succeed | Founder, Immerse Education (2012–2026)
Sean works at the intersection of academic enrichment, program quality and university preparation, with expertise in evaluating pre-university experiences for ambitious secondary school students.
Sources and verification
Source types reviewed
- Questions: Application - SI | Stanford Pre-Collegiate Summer Institutes
- Number Theory | Stanford Pre-Collegiate Summer Institutes
Succeed uses official provider information where available, but keeps this public page focused on comparison and planning inside Succeed.
What we verified (on 6 Oct 2026)
Official course page checked
Grade eligibility reviewed
Mathematics prerequisite verified
Session dates checked
Daily workload verified
Application requirements reviewed
Financial aid eligibility checked
How Succeed uses this information
We use source material to verify core facts, then show older cycle dates as reference when a current cycle is not available. Always check current application instructions before applying.
Number Theory Online Course
by Stanford Pre-Collegiate Studies
Upcoming
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