Pre- University Courses: Maths
Calculus is an essential branch of mathematics that is used extensively in various STEM fields such as engineering, physics, economics, and computer science, among others. Many university-level courses require a solid foundation in calculus concepts and problem-solving techniques because it is a fundamental tool that is applied across a wide range of disciplines.
CourseLeap’s Calculus and Multivariable Calculus Pre- University courses equip students with analytical, problem-solving, critical thinking, and logical reasoning skills essential for university-level studies and beyond. The courses teach students to apply tools based on the concepts of differential and integral calculus, sequences and series, and differential equations to analyse real-life phenomena.
By taking our University Calculus courses, students will build on the concept of using series as a tool of analysis and develop the skill of visualisation and computation. Moreover it will help them excel in university-level calculus courses and provide them with the necessary skills to succeed in their future careers.
Who is it for?
Courses We Offer
Duration: 20 sessions | Total hours: 30 hours
This course aligns to Calculus I and II at the university-level. It provides an introduction to differential calculus starting from first principles to applications such as optimization and kinematics. Following differential calculus, we will lead into integration, again from first principles, and cover various methods of integration as well as applications such as volumes, areas, and kinematics.
Prerequisites are: Pre-Calculus: functions and trigonometry.
Why take this course?
- Develop foundational understanding of the prerequisite topics to ensure readiness for advanced university work
- Develop problem-solving skills to identify appropriate strategies for solving calculus problems
- Understand how differential equations can be used to model and solve problems in STEM fields
- Gain a head start in university-level mathematics and increase GPA scores in the first year of university
Duration: 25-27 sessions | Total hours: 40 hours
This course will cover the study of sequences and series as well as its applications extending to the Taylor and Power series. This will be followed by an introduction to differential calculus for functions of more than one variable and its applications. It will help students familiarise with the foundations of university-level maths, and sets the tone for courses such as Differential Equations and Linear Algebra, all of which are important for anyone pursuing Physical sciences, Economics or Computer Science.
- Enhance abilities to differentiate and integrate single variable functions.
- Explore complex topics, especially those geared toward analytical mathematics.
- Learn how to apply advanced calculus in the real world.
- Gain a head start in the university-level “Calculus III”.
- Gain a head start in university-level mathematics and increase GPA scores in the first year of university.
How can we help
Please refer to the Contact Us page if you need help deciding courses or have any other inquiries so we can understand your needs. The appropriate team member will get in touch with you shortly.
You May Also Like
Personalised Online Tutoring
Our customizable personalised online IBDP , MYP , IGCSE & A Level tutoring aims to raise students’ performance by elevating the motivation levels and independent problem solving. It enables us to offer differentiated and accelerated learning as per students’ individual needs to help boost their high school grades and achieve university admissions goals.
9-12th graders will get the chance to engage in college-level coursework in their AP subjects and prepare for success in their corresponding exams. They will engage in problem-solving, analytical reasoning while developing strong communication and research skills. The course aims to help students stand out in the college application process and demonstrate their academic ability to prospective colleges and universities.
Advance Summer School Prep
This intense course promotes thorough in-depth exploration of each subject while students can discover their interests and passions.It aims to provide a rigorous preparation for prominent international summer school programmes such as the PROMYS, SUMaC and Ross.
I really enjoyed this course. Mr Nandish was a really great mentor. Even though Calculus was something new for me but Mr. Nandish made it so simple and easy for me to understand. This course has prepared me for starting calculus in school. Very great course for the students who are starting with calculus.
I really enjoyed learning calculus from the basics and being taught about each and every small detail that is needed to know to succeed in the complicated parts. I feel like this is a good course to take up before school starts as it helps to get your foundations better and help you do better in class. With this course, I’ve been able to participate more in class as I know what is going on and I understand the ways to work with calculus