ADVANCED MATHS SUMMER COURSE

Updated 14 September 2024

The advanced maths summer course for 15-18 year olds (year 11,12,13) and all courses on Lite Regal will run for face to face teaching for all dates as listed on this website.All UK Students and International Students -A level and GCSE / IGCSE exams and IB Students  interested in Maths and Physics should consider this course. The advanced maths Summer course will run in University of London UOL and Cambridge University for the dates shown.

Many students want to explore whether Maths at University is a good option for them. This course will push their maths knowledge to a higher level. The whole of the A-Level syllabus is revised and then Advanced Maths concepts in Year 1 University are covered - algebra, advanced and multivariate calculus, probability, and more.

Most of the Students on this course are already studying the Sciences (Physics, Maths, Further Maths) and excel at these at school but want to further their maths knowledge during the summer.Many students want to explore whether Maths at University is a good option for them. This course will push their maths knowledge to a higher level.The whole of the A-Level syllabus is revised and then Advanced Maths concepts in Year 1 University are covered - algebra, advanced and multivariate calculus, probability, and more.

ADVANCED MATHS SUMMER COURSE FOR 15 TO 18 YEAR OLDS

(Incoporating Maths for Astronomy and Maths for Physics)

The course is aimed at cementing the fundamental concepts of mathematics that are required to be mastered by a student before they delve into calculus. At the end of the program, students are to take introductory lessons in differential calculus. To help students get a jumpstart in their mathematics career, supplementary lessons are added to the coursework in making papers and presentations in the same fashion that is used in Cambridge University and London University.

Students who plan to take the program are encouraged to think the industrial and real-life significance of their lessons. Field trips are designed to let students be aware of what mathematicians do after graduation.

This course is for 15-18 year olds who want to make the most out of their summer, LITE Regal Summer School’s Mathematics program is one that helps prepare determined students for University. Anyone interested in Physics or Maths and also how maths and physics are used in astronomy should consider this course. The two weeks under this program will help students to grow holistically and help develop one’s potential and improve ones maths immeasurably. The course is available in the London Campus or the Cambridge Campus depending on the students choice.

This Course is academically stimulating and difficult and will help cement holes in students maths and also give a broad understanding of Maths that is taught in 1st year of University. The course will give teach students maths but with an insight in how Maths Is used in Astronomy and Physics.

Students will be brought up to speed in geometry , algebra, trigonometry and precalculus and calculus.

You will be taught geometry and trigonometry to determine the position of stars and the maths used in calculating the routes for satellites, space probes and rockets. Mathematics is an essential tool for physics and in this course students will look into the calculus used and needed in physics - classical mechanics, electromagnetism and fluid dynamics and much more depending on the students interests.

The course is aimed at cementing the fundamental concepts of mathematics that are required to be mastered by students before they delve into calculus.

At the end of the program, students are to take introductory lessons in differential calculus. To help students get a jump start in their Mathematics career, supplementary lessons are added to the coursework in making papers and presentations in the same fashion that is used in UK and Overseas Universities.

Students who plan to take the program are encouraged to think the industrial and real-life significance of their lessons. Field trips are designed to let students be aware of what Mathematicians do after graduation.
To succeed in this program, students must be dedicated, have critical thinking, and perseverance to make the most out of the program. Students who are looking for a challenge, or want to learn more about Mathematics in reference to physics and astronomy are encouraged to take this program.

This intensive 2 week program is crafted to propel students beyond the confines of standard mathematical education. Catering to the age group of 15-18 year olds, the course goes beyond the conventional curriculum, immersing participants in advanced mathematical topics that transcend the boundaries of high school mathematics. The curriculum is carefully designed to challenge and inspire, providing a solid foundation for future academic pursuits

Key Components of the Course:

1. In-Depth Exploration of Advanced Topics:
   • The course covers a spectrum of advanced mathematical topics including calculus, linear algebra, number theory, and abstract algebra. Participants engage in rigorous problem-solving sessions that elevate their understanding of these intricate mathematical structures.
2. Interactive Learning Environment:
   • Small class sizes foster an interactive and collaborative learning environment. This allows students to actively participate in discussions, receive personalized attention from experienced tutors, and engage in peer-to-peer learning.
3. Practical Application and Workshops:
   • The course integrates hands-on workshops, encouraging students to apply theoretical knowledge to real-world scenarios. These practical applications bridge the gap between theory and practice, enhancing the students' ability to translate mathematical concepts into tangible solutions.
4. Guest Lectures by Leading Mathematicians:
   • Distinguished mathematicians often share their expertise through guest lectures. These sessions provide valuable insights into current research, inspire intellectual curiosity, and expose students to the broader mathematical community.
5. Dual Location Experience:
   • Conducted in the academic havens of Cambridge University and London University, the course offers a dual-location experience. Participants have the unique opportunity to benefit from the academic richness of both institutions, providing a comprehensive learning journey.
6. Advanced Technology Integration:
   • Leveraging modern technology, the course incorporates advanced mathematical software and tools. Participants gain hands-on experience in utilizing technology for problem-solving, preparing them for the technological landscape of higher education and beyond.

Advantages of Attending the Advanced Maths Summer Course:

1. Acceleration of Mathematical Proficiency:
   • The condensed timeline of the program allows students to delve deep into advanced topics, accelerating their mathematical proficiency and providing a robust foundation for future studies.
2. Enhancement of Problem-Solving Skills:
   • Engaging with challenging problem sets and real-world applications hones participants' problem-solving skills. This practical experience cultivates analytical thinking and fosters an aptitude for tackling complex mathematical challenges.
3. Exposure to Cutting-Edge Concepts:
   • Participants gain exposure to abstract and cutting-edge mathematical concepts not typically covered in standard high school curricula. This exposure ignites intellectual curiosity and broadens students' perspectives on the scope of mathematical exploration.
4. Preparation for University-Level Mathematics:
   • The course serves as a bridge between high school and university-level mathematics, preparing students for the rigors of advanced mathematical studies in higher education.
5. Networking Opportunities:
   • Interacting with like-minded peers and seasoned mathematicians provides networking opportunities that extend beyond the course. Participants can forge connections, collaborate on projects, and gain insights into potential career paths within the mathematical field.
6. Confidence Building:
   • Successfully navigating advanced mathematical terrain during the course instills confidence in participants. They emerge with a strengthened sense of self-assurance in their mathematical abilities, ready to tackle future academic challenges.
7. Holistic Educational Experience:
   • Beyond academic advantages, the course fosters holistic growth by instilling qualities such as perseverance, resilience, and a passion for lifelong learning. Participants develop not only as adept mathematicians but also as well-rounded individuals poised for success.
8. Inspiration for Future Pursuits:
   • Exposure to advanced mathematical concepts and real-world applications can inspire participants to consider diverse career paths in science, technology, engineering, and mathematics (STEM) fields, shaping their future academic and professional aspirations.

In conclusion, the 14-day Advanced Maths Summer Course at Cambridge University and London University is a beacon for young mathematical enthusiasts. Beyond imparting advanced knowledge, the program nurtures a love for mathematical exploration, instills confidence, and lays the groundwork for a future generation of mathematicians and problem solvers. For those seeking to unlock mathematical excellence, this immersive experience is a transformative stepping stone towards academic and intellectual achievement.

The bulk of the program deals with topics regarding algebra and pre-calculus, with additional introductory topics on differential calculus for later lessons. Topics are based on lessons that are typically taught in regular school semesters, with additional lessons to broaden the students’ perspectives.

Each day of the Maths Summer course is composed of a morning and an afternoon session. The morning sessions focus on lectures, while those in the afternoon are workshops related to the said lectures. Workshop activities may either be done in groups or individually, depending on the nature of the activity. Debates, class reports, and group brainstorming sessions are some of the activities that may occur during the afternoon sessions.

LITE Regal’s Mathematics Summer School Program bridges learning within the classroom and real life by letting students take field trips. These field trips will let those enrolled in the program have a glimpse of some of the future careers in the UK if one pursues the field.

By the end of two weeks, this course aims to achieve the following outcomes:

• solve equations involving radicals and exponents
• solve problems involving trigonometric functions
• write a paper critique and presentation
• relate course topics with real-life situations and industrial applications
• understand derivatives and how they are acquired, including their implication in a situation

The course aims to foster a positive attitude towards the subject matter, and to inspire students to pursue higher studies on the field.

LITE Regal Summer School not only provides academic opportunities for students, but cultural ones are present as well. Our classes are taught by esteemed professionals who have a strong grasp of the subject matter. The program gives several personal and academic benefits for those who choose to enrol:

• develop critical thinking and scientific reasoning
• broaden current knowledge on Mathematics
• develop interpersonal skills in different social settings
• interact with peers of varying cultural and ethnic backgrounds
• improve study skills in various stimulating situations
• become more competitive in learning with challenging workshops and activities
• experience possible careers for mathematicians in London through field trips
• experience first-hand studying within one of the colleges of either Cambridge University or London University
• learn additional tips on the basics of scientific writing that is used in Cambridge University or London University

The LITE Regal Summer School isn’t all about work! Our dedicated Events Team has created an exciting action packed social programme to complement your studies to ensure you have as much fun as possible, make friends and get the most out of your stay with us.

Please visit our activities page for more details: Cambridge  London

Cultural Excursions

Excursions take a full advantage of an excellent transport network both from London and Cambridge, giving you a real taste of life in England.

Destinations can include: Harry Potter World, Windsor Castle & Eton College, Oxford, Brighton, Chessington World of Adventure.

After School Activities

There is so much going on in London and Cambridge and we don’t think you’ll be bored. After classes you’ll have a range of activities to enjoy too.

Here are a few examples of the kind of activities you might have the opportunity to enjoy this summer:visiting London Eye, Madame Tussauds or the famous Houses of Parliament, film nights, punting down the river, visiting a West End Theatre, themed parties, sports including tennis, swimming, dancing and many more.

Free Time

We understand that students will want some free time to relax, attend to personal administration and contact their families. Some free time will be provided for rest and relaxation, however, we believe the most valuable experience to the student is a fully immersive, packed programme of activities and so students should expect to be engaged in team activities for the majority of time.

You will be accommodated in one of the College campuses. You will be allocated a room, usually sharing a twin room with another student of the same gender. Typically students will be accommodated on single-sex corridors or floors, with staff members and mentors always available on site. Living all together is a great way to make friends and sample the university lifestyle, as the welcoming environment allows you to develop a sense of community.

Breakfast and lunch is served and eaten in the College dining hall, which provides a bright and comfortable space for communal meals. Students will enjoy a varied and healthy diet: all meals are freshly prepared and special diets can be catered for with advance notice. A three-course dinner is provided daily either in the College dining hall, or in various restaurants as part of the social programme.

Safety and Security on Campus

Students will be overseen by our course leaders and residential staff to classes and activities, who ensure that students are looked after pastorally and socially during their programme and are available to assist students at any time of the day or night.All students will be issued with emergency contact details for staff members and will be given a full safety briefing on arrival.

LITE Regal Summer School offers a safe and secure environment that is staffed 24 hours a day, 7 days a week by our friendly and professional team. We have a dedicated team of Managers, Teachers and College Mentors. The welfare of our students is our main priority at all times and our staff specialise in the pastoral care of older teenagers.

Management Team

Our Management team is headed by the College Principal, who takes responsibility for the daily running of the college, and supervises the Academic Programme. The Social & Welfare Manager takes charge of the Social Programme and is supported by a team of College Mentors, who ensure everyone is happy, safe and having fun.

Working together, our Managers ensure that every aspect of the college runs smoothly, safely and offers every student the chance to participate fully.

College Mentors

Our Mentors are key members of staff who support and assist our students within the college accommodation and throughout the Social Programme. Our team of College Mentors work with our Social & Welfare Manager in organising the college’s social events and excursions, as well as accompanying students into campuses and during day trips. They are approachable and caring, ensuring that all students get involved in the life of the college.

Students must fulfill the following requirements before acceptance to the program:

• Must be proficient in basic algebraic operations.
• Must have a strong understanding of the fundamental lessons in algebra.
• Must have a natural curiosity towards mathematics.
• Must have critical thinking and reasoning.
• Must persevere and work diligently on lectures and workshop activities.
• Must show enthusiasm in participating with a group—whether it be for workshop activities or for social events.

The cost of one LITE Regal Summer School programme is £5,495 and includes the following: