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High school mathematics is for many students, a race to learn calculus — the mathematics of real functions and their limits. By contrast, “discrete” mathematics is everything else: any set of objects that can be counted. In addition to being full of interesting and beautiful ideas, discrete mathematics has many useful applications, from the coding and design of computers, to winning at many popular games, to understanding the tens of thousands of genes that make us healthy (or sick).
The goal of the Discovering College Math Summer Institute is to introduce students to mathematics as a creative, problem-solving activity that combines rigor, invention and elegance. The focus of this inaugural institute is on discrete mathematics.
Discovering College Math Summer Institute
Students participating in this three-week long Summer Institute will cover (and receive credit for) Math 61, an undergraduate-level class that covers topics in discrete math from logic and sequences, to counting and graphs, and that introduces students to the principles of making rigorous arguments that are vital to studying college-level mathematics.
Each day is divided into morning and afternoon activities. Morning activities are structured on the successful Math Circle model of small group problems-based-learning. In the afternoons, students will attend a college-style lecture followed by individually working on problems sets designed to clarify and reinforce the materials studied during the day. The only prerequisite for this class is successful completion of Algebra II. This is a college-level math course, and we are looking for evidence of mathematical maturity and curiosity, which could include having taken more advanced coursework, or participating in math extracurriculars, such as math circles, camps or competitions.
Applications are reviewed and admission to the program is granted on a rolling basis starting February 15th. Applying at your earliest convenience, prior to June 13th, is highly recommended.
The program has application requirements for admission. Eligible applicants who successfully submit all requirements will be reviewed and notified via email of an admission decision within 3 weeks.
Applicants are required to provide the following during the online registration process:
- An unofficial transcript from grade 9 to present reflecting a cumulative GPA of 3.2 or higher
- If your school transcript utilizes a different grading system, please submit your transcript as is. If available, please attach a translation/equivalency guide.
- INTERNATIONAL STUDENTS: If you are an international student, a transcript refers to your complete secondary academic record. To learn more about converting your grades into a US-based GPA, please click here.
- If your school has a translation/equivalency guide, please also include it with your transcript. If you do not have a translation/equivalency guide, please still submit your most up-to-date transcript as is for staff to review.
- Value statement: At the time of registration, ALL applicants will be prompted to submit a few short sentences reflecting on their pursuit of participation in a UCLA Precollege Summer Institute. Please note that students are strongly discouraged from relying on ChatGpt/AI tools for their application responses and are encouraged to submit original and authentic answers.
- Two short essays answering the following prompts:
- What is the most interesting mathematical result you have learned? How (and where) did you encounter it? (400 words or less)
- This program requires students to be prepared to learn mathematics at a college level. What experiences have you had that have helped you to be ready for the program? (400 words or less)
- You can use this space to mention classes you have taken above Algebra II, mathematical extracurriculars you have participated in (e.g. math camps, math competitions or math circles), or books or articles on mathematics that you have found interesting.
- A recommendation letter from a mathematics teacher that can attest to your mathematical maturity and interest.
The Discovering College Math Summer Institute is a commuter program, there is NO on-campus housing available for the commuter program through the institute program or UCLA Summer Sessions. Additionally, please note that only students aged 17 and older as of June 23rd, 2025 are eligible to sign a housing contract, and not all program dates correspond to when contracts are available. Students interested in exploring this option should review information at UCLA Summer Housing.
Participants of the Discovering College Math Summer Institute must commute to the UCLA campus each day of the program. Specific location information (e.g. classroom) will be provided to enrolled students closer to the start of the program.
Parking
Summer Sessions parking permits will be available on a first-come, first-served basis. Students have the option to purchase a summer term permit or a daily permit.
Please review the Transportation and Parking Services web page and read the “Summer Quarter Parking (All Students)” section for more information on all permit types, including cost.
Coursework
Math 61; 4 units
Grading Basis
Students will receive a letter grade upon completion. However, if you would like to change your grade type to Pass/No Pass (P/NP), please contact your instructor. To receive a “Pass” notation, students must earn a letter grade of C or better. See University Credit, Grades and Transcripts for more information about academic credit.
In order to successfully complete the program, students must not have more than 2 excused or unexcused absences.
UCLA Summer Sessions Summer Scholars Support
Qualified students attending grades 9th – 11th in Spring 2025 in the state of California may be eligible for Summer Scholars Support, a need- and merit-based scholarship offered by the UCLA Summer Sessions Office. Students must be 15 years old by the first day of Summer Sessions 2025 on June 23rd in order to participate in a Precollege Summer Institute and/or apply for Summer Scholars Support. A limited number of full and partial scholarships are available to support enrollment in SCIP/eSCIP, one Summer Course, or a Precollege Summer Institute.
Summer 2025 deadline to apply: March 15
Program Dates: July 14, 2025 – August 1, 2025
Program Type: Commuter
Program Eligibility: 9th-12th grade in Spring 2025*
Application deadline: June 13, 2025
Enrollment deadline: July 11, 2025
*All participants must be at least 15 years of age by the first day of Summer Sessions 2025 on June 23rd, no exceptions allowed.
The schedule and syllabus are subject to change. Enrolled students will be given updated materials closer to the program start date.
Fees and Payment Info
The program fee includes the unit fees for the UCLA coursework offered as part of the program and thus varies by UC student status. In addition to the program fee, students are assessed other campus and administrative fees during the summer. This is a summary of fees that commonly apply to the selected student type.
Actual tuition and fees are subject to change by the University of California. Visit the fees, payment, and financial aid section for important disclaimer, as well as more details on fees, payment instructions, and information on delinquency, refunds, and financial aid.
Meet your instructors
Marcus Roper
Program DirectorMarcus Roper, PhD, is a Professor of Mathematics and Computational Medicine, and the Undergraduate Vice Chair for the UCLA math department. Prior to joining the UCLA faculty in 2011, he received BA and MMath degrees in Mathematics from Cambridge University and a PhD in Applied Math from Harvard University. His research work has led to new understanding of blood flows in mammal brains, the dispersal of fungal spores, and the intelligence of slime molds and has been featured by the NY Times and Scientific American. He particularly relishes teaching introductory classes; he co-wrote a popular textbook for life science students learning calculus and won the Sorgenfrey Distinguished Teaching Award in 2019. In his spare time, he teaches classes for the Olga Radko Endowed Math Circle, teaching mathematics to gifted students ranging from first to sixth grades.
Tyler Arant
Summer Institute InstructorIn 6 years as a UCLA math instructor, Tyler Arant, PhD, has taught students ranging from freshmen to graduate students, and classes from calculus and probability through to algebra and analysis. He received his PhD from UCLA, and his BS in mathematics from UC Berkeley. His research is about the intersection of computability theory and descriptive set theory, focusing in particular on the regularity properties of infinite graphs and equivalence relations.. He is one of the department’s most lauded instructors, including receiving the Liggett Teaching Award in 2022. In the classroom, he strives to combine mathematical rigor, deep understanding of the obstacles that make the subject uniquely challenging to learn for many people, and activities and differentiated materials that provide challenge and interest to all students.
Discovering College Math Summer Institute FAQ
Although the minimum entry requirement is Algebra II, we are looking for evidence of maturity and interest in mathematics. Appropriate evidence would include having taken higher level math classes (e.g. calculus), participation in a math circle or other extracurricular, reading popular accounts of modern mathematical developments, or participation in math competitions.
Students are required to supply their own notebook, pencils, pens, and coloring pencils/pens.
Still have questions? Check out the general Summer Institutes FAQ.