Calculus 1, Calculus 2, Calculus 3 and Calculus 4

University Courses: Math

Why Learn Calculus with CourseLeap?

Calculus is a fundamental part of mathematics that underpins many concepts in STEM fields such as physics, engineering, computer science, and economics. CourseLeap helps students develop strong analytical and problem-solving skills, enabling them to grasp advanced ideas with greater ease.

We offer four levels of Calculus. Through interactive lectures and problem-solving sessions our courses build a foundation that not only gives students a headstart in their academic performance at college, but also prepares them to apply mathematical thinking effectively in real-world and professional STEM contexts.

Calculus 1: Introduction to Calculus
For students completing one year of higher or standard level Mathematics, or fulfilling core math requirements.
Calculus 2: Applications of Calculus
For mastering complex calculus and preparing for advanced coursework; focuses on applications in economics and business.
Calculus 3: Advanced Calculus and Intro to Multivariable Calculus
For students proficient in single-variable calculus, preparing for Differential Equations and Linear Algebra.
Calculus 4: Differential Equations
For those pursuing degrees needing advanced mathematical analysis in fields like mathematics, science, and engineering.

What We Offer:

Specialised Math Faculty

Rigorous Concept Review

Problem Solving Skills

Real World Application

Structured Course Delivery

Success & Confidence at University

Get in Touch

Discover CourseLeap

This course has intensified my previous knowledge of Calculus 1, it helped me bridge the gap between school and university studies. The instructors were really helpful and the quality of the content was optimal. Regular HW and follow ups helped me stay on track and the teachers cleared my doubts perfectly. I have been able to effectively use my breaks before university to get an early grasp on topics in mathematics and physics. The teaching platforms and learning resources were very effective and extremely helpful.

Vivaan Pagaria, Boston University, Freshman year (Pre-University Calculus 1, Physics 101), 2025

Ready to build calculus skills that go beyond the classroom?

Calc 1
Calc 2
Calc 3
Calc 4

Calculus 1: Introduction to Calculus

Prerequisites
Pre-Calculus: algebra, functions and trigonometry.

Recommended Duration
30 to 40 hours

Develop foundational understanding of the prerequisite topics to ensure readiness for advanced university work
Learn 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
Covers key concepts such as limits, derivatives, and integrals and builds foundation for understanding rates of change, slopes of curves, areas under curves, volumes and kinematics.

Calculus 2: Applications of Calculus

Prerequisites

Differentiation and integration techniques, sequences and series

Recommended Duration

30 to 40 hrs

Calculus 2 expands upon the concepts introduced in Calculus 1, delving deeper into calculus applications like integration techniques, sequences, and series.
Master advanced integration techniques, including integration by parts and partial fraction decomposition.
Understand sequences, series, convergence tests, and Taylor series in calculus application.
Apply theoretical concepts to solve complex problems involving areas, volumes, and infinite sums.
Students explore advanced methods of integration, including integration by parts and partial fraction decomposition, and learn about convergence tests and Taylor series.
Gain the tools to tackle complex problems involving areas, volumes, and infinite sums, preparing them for more advanced coursework, with a focus on both theory and calculus application

Calculus 3: Advanced Calculus and Introduction to Multivariable Calculus

Prerequisites

Differential and Integral Calculus and Vectors.

Recommended Duration

30 to 40 hrs

Cover topics such as vectors, vector functions, partial derivatives, multiple integrals, line and surface integrals, and vector calculus operators such as gradient, divergence, and curl.
Gain insights into the behaviour of functions in three-dimensional space through hands-on exploration and real-world applications
Enhance abilities to differentiate and integrate single variable functions and explore complex topics geared toward analytical mathematics.
Learn real world application and the analytical skills of advanced calculus needed for further studies in mathematics, physics, engineering, and computer science.
Gain a head start in university math and increase GPA scores in the first year of university.

Calculus 4: Differential Equations

Prerequisites

Multivariate calculus, basics of vectors and geometry

Recommended Hours

30 to 40 hours

Deepen understanding of multivariable calculus and vector analysis, which represents the pinnacle of mathematical exploration in the calculus series.
Dive deep into the theoretical foundations of calculus, rigorously studying topics such as sequences, series, continuity, and differentiability of real-valued functions.
Explore complex analysis, differential equations, and advanced integration.
Enhance critical thinking and logical reasoning for advanced research.
Prepare for advanced calculus study and research in mathematics, science, and engineering, where a deep understanding of calculus is essential.

Before taking this Pre-University course, I had no prior knowledge of MS Excel. After just a few classes, I feel confident using it daily. It has made data visualization and understanding mathematical formulas much easier. The teacher was very supportive, providing guidance and help throughout. I especially enjoyed the final task as it encapsulated everything we learned and served as a great refresher. Revisiting the probability chapter was also fun and insightful.

I'm Adi, starting at Bentley University this fall. Course Leap's pre-university Calculus prep course transformed my math skills. Despite my previous lack of confidence in the subject, their engaging classes boosted my confidence and proficiency. The interactive one on one approach and extra practice improved my understanding, especially in challenging areas. CourseLeap's commitment to quality education makes me highly recommend their pre-university Calculus prep course. It's set me up for success as I enter university.

My name is Ahaan Kothari and I am in my freshman year of university at Rose Hulman. Courseleap formed a structured course for my first years mathematics and I had a great experience with the teachers!

It was a really good course that introduced me to various approaches to solving questions. The instructors were very helpful and shared examples of their own experiences, while teaching concepts which made it more interesting and relatable. I really enjoyed this course and got a good understanding of the subject.

I was assisted by a CourseLeap instructor while writing a psychology research paper. Initially, I knew nothing about the process, but I received help throughout, from conducting interviews to editing. My instructor was deeply invested, offering multiple proofreading sessions and insightful recommendations, even on small details. Ultimately, my paper was published in a prestigious international journal. Through my experiences, I highly recommend CourseLeap!