Mathematics with Mathematical Physics

The Bachelor of Science in Mathematics with Mathematical Physics at University College London offers an in-depth exploration of advanced mathematical concepts combined with their applications in physical theories. This programme is designed for students who are passionate about understanding the fundamental principles that govern the universe and wish to develop rigorous analytical and problem-solving skills. Throughout the course, students will engage with a broad spectrum of topics including pure mathematics, applied mathematics, and theoretical physics, allowing for a comprehensive understanding of the interconnected nature of mathematics and physics.

The programme begins with a solid foundation in core mathematical disciplines such as calculus, linear algebra, and differential equations. As students progress, they explore more complex areas like abstract algebra, real analysis, and mathematical logic, which foster logical reasoning and theoretical insight. Parallel to these mathematical topics, students are introduced to core concepts in physics, including classical mechanics, electromagnetism, quantum mechanics, and statistical mechanics, enabling them to appreciate how mathematical tools are used to model real-world phenomena.

A key feature of this programme is its strong emphasis on mathematical physics, where students apply mathematical techniques to solve problems in physics. This includes studying the mathematics of wave phenomena, quantum theory, and relativity, as well as computational methods used in contemporary physics research. The curriculum is complemented by laboratory work, project-based assignments, and tutorials that encourage independent thinking and collaborative problem solving.

Students will also have the opportunity to undertake a final-year project, allowing them to investigate a specialized topic in mathematical physics in depth, often in collaboration with academic staff engaged in cutting-edge research. Throughout their studies, students develop a range of transferable skills, including advanced quantitative analysis, technical communication, and independent research methods, preparing them for further academic pursuits or careers in industry, finance, or research.

UCL's vibrant academic community and extensive network of research institutes provide an inspiring environment for students to explore their interests and innovate at the forefront of scientific discovery. Graduates of this programme are well-equipped to contribute to developments in scientific research, technological advancements, and academia, making significant contributions to our understanding of the physical universe.

In each year of your degree you will take a number of individual modules, normally valued at 0.5 or 1.0 credits, adding up to a total of 4.0 credits for the year. Modules are assessed in the academic year in which they are taken. The balance of compulsory and optional modules varies from programme to programme and year to year. A 1.0 credit is considered equivalent to 15 credits in the European Credit Transfer System (ECTS).

In the first year and a half of the BSc you will receive a thorough grounding in pure mathematics and mathematical methods following the same modules as the single-subject Mathematics students; except that Quantum Mechanics can be taken in place of Algebra 3. The programme then follows relevant pure and applied mathematics options in the second half of the second year and in the third year, supplemented by physics modules given by UCL Physics & Astronomy.
Possible options include: Atomic and Molecular Physics (UCL Physics & Astronomy); Mathematical Physics (King's College London); Quantum Mechanics (UCL Physics & Astronomy).

This programme is offered as a three-year BSc or a four-year MSci degree. The first two years of the programme are identical, and students are advised to apply for the MSci degree in the first instance, as it is possible to transfer to the BSc during the first three years.

A levels

Grades

A*A*A, or A*AA and a 1 in any STEP paper or distinction in Mathematics AEA

Subjects

Mathematics and Further Mathematics required at A*, or one of Mathematics or Further Mathematics at A* if STEP or AEA offered. Physics also required.

GCSEs

English Language and Mathematics at grade C. For UK-based students, a grade C or equivalent in a foreign language (other than Ancient Greek, Biblical Hebrew or Latin) is required. UCL provides opportunities to meet the foreign language requirement following enrolment, further details at: www.ucl.ac.uk/ug-reqs

IB Diploma

Points

39-40

Subjects

A score of 20 points in three higher level subjects including 7 in Mathematics and at least 6 in Physics, or 19 points in three higher level subjects including 7 in Mathematics and at least 6 in Physics and a 1 in any STEP paper or a distinction in Mathematics AEA, with no score below 5.

The Mathematics with Mathematical Physics program at University College London offers a range of financing options to support students throughout their studies. Firstly, UK, EU, and international students are encouraged to explore various scholarships, bursaries, and funding schemes available through the university’s official channels. UCL provides competitive scholarships based on academic excellence, financial need, and specific eligibility criteria, which applicants are advised to review and apply for early in the admission cycle. Additionally, students may consider external funding sources such as government-sponsored loans, trust funds, and international scholarship programs tailored for STEM students.

UCL participates in government student loan schemes for eligible UK students, enabling access to tuition fee loans and maintenance loans to cover living costs during the course duration. International students often seek scholarships offered by their home governments or private organizations; some may also qualify for UCL’s international scholarships designed to promote diversity and global talent. The university also provides information on work-study opportunities, allowing students to work part-time on or off-campus within regulated hours to supplement their income without compromising academic progress.

Students are advised to consider financial planning early, including budgeting for tuition, accommodation, textbooks, and personal expenses, as well as exploring health insurance options if applicable. There are also postgraduate funding opportunities for students continuing their studies at the master’s or doctoral level after completing undergraduate studies, which can sometimes be combined with undergraduate funding packages. UCL’s student finance services offer dedicated advice and support, guiding applicants on the best routes for funding their studies based on individual circumstances.

The university emphasizes transparency and encourages prospective and current students to utilize its online resources for up-to-date information on available financial support schemes. Applying for funding requires careful attention to application deadlines and documentation, including proof of academic merit or financial need. The aim is to ensure that students from diverse backgrounds have equitable access to quality education in Mathematics with Mathematical Physics, helping them to succeed academically and professionally without undue financial hardship. Overall, UCL’s comprehensive approach to financing studies strives to make higher education accessible and affordable for all enrolled students.

The Mathematics with Mathematical Physics BSc program at University College London offers students a comprehensive education at the interface of pure mathematics, applied mathematics, and physics. This programme is designed for students who are passionate about understanding the fundamental principles governing the universe through mathematical frameworks and wish to acquire a strong theoretical foundation combined with practical problem-solving skills. The curriculum integrates core mathematics modules with specialized courses in mathematical physics, covering topics such as classical mechanics, electromagnetism, quantum mechanics, statistical mechanics, and field theory. Throughout the course, students engage in both theoretical studies and practical exercises, including computer-based simulations and mathematical analysis, to develop a deep understanding of the subject matter. The program emphasizes analytical thinking, logical reasoning, and quantitative skills, equipping graduates for careers in academia, research, engineering, data science, finance, and technology sectors. Students benefit from UCL's vibrant academic environment, access to cutting-edge laboratories, seminars, and collaboration opportunities with leading researchers in the fields of mathematics and physics. The course is structured over three or four years, depending on whether students choose to take a placement year abroad or in industry. UCL’s strong connections with scientific institutions and industry partners provide valuable work placements and networking opportunities. Graduates of this programme are well-prepared for doctoral research or careers in sectors requiring advanced mathematical and physical expertise. The program is also designed to promote critical thinking, independent research skills, and interdisciplinary knowledge, making it an appealing choice for students interested in the fundamental scientific research and its practical applications.