15 Online Calculus Courses for High School Students

Whether you are a high schooler curious about advanced math or someone leaning toward engineering, economics, physics, finance, pre-med, or chemistry, calculus is a subject crucial for solving real-world problems across fields. Working on mastering calculus concepts can give you an advantage in math long before you set foot on a university campus. If you want to build that understanding while you are still in high school, online calculus courses for high school students can be a great place to start.

A structured virtual course can offer you access to advanced modules, instructor-led sessions, and exercises such as exploring how derivatives track speed, working through limits, graphing functions, or examining how mathematical models are actually used. You might solve practical problem sets, experiment with digital graphing tools, and gain a much clearer understanding of the math that happens behind the science people use every day. The experience can feel quite different and more rigorous than simply memorizing equations and working within a set high school curriculum.

How to choose the right online calculus course for high school students?

The right course setup for you depends largely on how you prefer to learn. Some programs focus on deep theory, formulas, and math foundations, making them a strong fit for you if you enjoy logic and problem-solving. Others are designed around real-world applications, allowing you to see how calculus is being used in fields such as economics, architecture, computer graphics, and engineering.

Some universities host programs and emphasize academic prep, while others are more self-paced and focus on daily practice. The strongest programs usually give students opportunities to practice, solve problems, and apply what they learn rather than simply watching videos.

To help you find the right fit, we have curated a list of 15 online calculus courses for high school students. We have focused on options that offer valuable exposure to thinking patterns and problem-solving methods that you are likely to encounter in higher education and future careers.

For adjacent opportunities, consider the math summer program.

Key takeaways

• MIT OpenCourseWare’s Single Variable Calculus is completely free and open access, letting you work through the exact material MIT undergraduates use without any enrollment process.
• Immerse’s Mathematics Online Research Programme offers Oxbridge-trained tutors and focuses on constructing logical proofs rather than just finding answers, open to students aged 13 to 18 worldwide.
• ASU’s Calculus for Engineers costs just $25 to enroll, with an additional $400 due only if you pass and choose to claim three transferable ASU credits.
• UC Scout’s AP Calculus AB is free for California public school students using promo codes, while out-of-state and private school students pay between $29 and $399 per semester depending on the plan.
• Modern States Calculus is entirely free and includes a voucher covering the CLEP Calculus exam fee, potentially turning a semester of coursework into real college credit at no cost.
• Harvard’s Calculus Applied! on edX requires you to have already completed a single-variable calculus course, distinguishing it from most other free courses on this list designed for beginners.
• FLVS’s AP Calculus AB is free for Florida residents but costs $475 per semester for out-of-state and international students enrolling through FlexPoint.
• Program costs for online calculus courses range from completely free options like Khan Academy and MIT OpenCourseWare to $425 total for ASU’s credit-bearing Calculus for Engineers course.

15 Online Calculus Courses for High School Students

1. MIT OpenCourseWare: Single Variable Calculus (18.01SC)

Location: Online (available on MIT OpenCourseWare)
Cost: Free
Acceptance rate/cohort size: Open access (no enrollment)
Dates: Self-paced; all materials available anytime
Application deadline: None; open access
Eligibility: Independent learners worldwide who want to explore undergraduate-level calculus

Offered by MIT OpenCourseWare, the 18.01SC is MIT’s own single-variable calculus course, accessible to independent learners and designed specifically for self-study. You will learn differentiation and integration of one-variable functions and finish with infinite series, following lecture videos paired with recitation videos that walk you through problem-solving. 

You will test your knowledge with problem sets and full exams that come with worked solutions, along with interactive “Mathlets” that let you reinforce concepts. You will work with the exact material MIT undergraduates use at your own pace. There is no certificate, but the course is an accessible way to access content that reflects the real MIT course rather than a simplified version. 

Why it stands out: It lets you work through MIT’s actual single-variable calculus course, offering videos, problem sets, and exams with solutions at no cost.

2. Immerse Education’s Online Mathematics Summer School

Location: Fully remote
Cost: Varies; summer school scholarship available through our bursary programme
Acceptance rate/cohort size: Selective; an average of 7 participants per class
Dates: Flexible; multiple cohorts in a year
Application deadline: Rolling admissions; multiple dates throughout the year
Eligibility: Students, ages 13-18; open to international students

Immerse Education’s Online Research Programme in Mathematics is a virtual course designed for high school students who want to go beyond school-level math and experience the subject at the university level. You will focus on developing mathematical thinking, moving from finding answers to constructing clear, logical proofs. 

The course covers advanced topics such as modern geometry, number theory, and matrix calculus, with an emphasis on solving university-style problems. Classes are taught online by Oxbridge-trained tutors, allowing you to learn alongside peers from around the world. Throughout the program, you will build analytical, problem-solving, and critical thinking skills through guided instruction and regular feedback. 

Why it stands out: You will get access to 1:1 Oxbridge- or Ivy-style research supervision while building advanced math knowledge. 

3. University of Sydney and Coursera’s Introduction to Calculus

Location: Online (via Coursera)
Cost: Free to audit; an optional certificate comes with a fee, with financial aid available
Acceptance rate/cohort size: Open enrollment
Dates: Self-paced (new sessions open on a rolling basis); typically commitment of about six weeks at 10 hours a week
Application deadline: None; rolling enrollment
Eligibility: Open to anyone worldwide with some experience with related math fields; subtitles are available in many languages

The University of Sydney’s Introduction to Calculus is designed to help you explore the foundations for math applications in science, engineering, and commerce. Across five modules, you will move from precalculus and the real number line to functions, limits, differentiation, and integration. 

You will learn each idea through short videos and notes and then cement it with 56 graded assignments, developing a genuine university-level calculus base you can carry into future degree programs. The course balances theory with real applications rather than focusing on mechanics alone.

Why it stands out: It is a beginner-friendly calculus course that lets you build a foundation in calculus at your own pace.

4. Delft University of Technology and edX Pre-University Calculus

Location: Online (via edX)
Cost: Free to audit; an optional verified certificate carries a fee and adds the final exam
Acceptance rate/cohort size: Open enrollment (no cap)
Dates: Self-paced (typical commitment of eight weeks)
Application deadline: None; self-paced open enrollment
Eligibility: Open to anyone worldwide

Delft University of Technology’s Pre-University Calculus course is designed to bridge the gap between high school maths and a university calculus course. You will review functions, equations, differentiation, and integration through short three- to five-minute videos, with clips that show how maths powers science and engineering.

You will reinforce each topic with interactive exercises and weekly homework designed to help you arrive at university calculus fluent in key problem-solving techniques. The course is structured to work equally well as a refresher or a first serious look at calculus. 

Why it stands out: It is purpose-built for the high-school-to-university jump, making it an accessible readiness check before you start with college calculus.

5. Ohio State University’s MOOCulus Calculus 1

Location: Online (via the Ximera platform)
Cost: Free with a downloadable certificate of completion
Acceptance rate/cohort size: Open access (no enrollment)
Dates: Self-paced; you can access the material anytime
Application deadline: None; open access
Eligibility: Open to anyone worldwide; suitable for high schoolers learning Calculus 1 or prepping for AP Calculus

The Ohio State University’s math department offers this free Calculus 1 course on its interactive Ximera platform. Designed to be more like a guided workbook than a lecture series, the course covers the full first-semester curriculum. You will progress from functions, limits, and continuity through the derivative and its rules, related rates, optimization, and the Mean Value Theorem, and on to antiderivatives, definite integrals, and both Fundamental Theorems of Calculus. 

Short dialogues between two young mathematicians will set up each idea, and a downloadable certificate will record your progress. You will work on problems and get instant feedback on the platform, so you will learn calculus by actively solving rather than just watching lecture videos.

Why it stands out: Unlike static notes or video courses, it embeds auto-graded practice right within the lessons, so you can assess if you understand each step before moving on.

6. ASU Universal Learner Calculus for Engineers (MAT 265)

Location: Online
Cost: $25 to enroll + $400 only if you pass and choose to claim the 3 transferable ASU credits
Acceptance rate/cohort size: Open enrollment (no cap)
Dates: Available on-demand to start anytime or available as a 16-week session (the next session begins August 18th)
Application deadline: None; rolling enrollment for the on-demand option
Eligibility: Open to anyone worldwide, including high schoolers and international learners; precalculus is strongly recommended

ASU’s Calculus for Engineers (MAT 265) is a real Arizona State University course that you can take online for credit, building a foundation in concepts like limits, derivatives, continuity, and integrals. You will explore the average rate of change, instantaneous rate of change, marginal analysis, accumulation, and techniques to solve optimization problems. 

You will learn on Gradarius, an adaptive platform that personalizes the path so you completely understand one concept before moving on to the next, with individualized coaching also available along the way. You will work through the full engineering-calculus curriculum and take proctored exams, which will let you earn three transferable ASU credits that appear on an official transcript. 

Why it stands out: It lets a high schooler earn real, transferable ASU engineering-calculus credit, with the main fee due only after you pass.

7. University of Pennsylvania and Coursera’s Calculus: Single Variable   

Location: Online (via Coursera)
Cost: Free to audit; an optional certificate carries a fee (financial aid available)
Acceptance rate/cohort size: Open enrollment (no cap)
Dates: Self-paced; takes about four weeks at 6 to 8 hours a week
Application deadline: None; rolling enrollment
Eligibility: Open to all learners worldwide

Calculus: Single Variable, taught by a University of Pennsylvania professor, takes a concept-first approach to the subject. Rather than focusing on mechanics, the course opens with Taylor series and approximation, reviewing limits and l’Hopital’s rule and introducing the language of growth and decay. 

You will learn through lectures and problem sets, exploring the fundamentals of single-variable calculus and its applications. Homework and assignments will help reinforce concepts and test your progress.

Why it stands out: It uses a concept-first approach to help you explore calculus and how it applies to different fields in a self-paced, flexible format.

8. Harvard University and edX’s Calculus Applied!

Location: Online on edX
Cost: Free to audit; an optional verified certificate costs $209
Acceptance rate/cohort size: Open enrollment with no seat caps
Dates: Self-paced with immediate access
Application deadline: None; you can enroll anytime you want
Eligibility: Open to learners worldwide who have completed or are currently taking a single-variable calculus course (differential and integral) at the high school (AP or IB) or college/university level

As one of the most prestigious online calculus courses for high school students, this Harvard course lets you explore how calculus can be used to tackle real-world problems across disciplines. The course will cover how professionals use derivatives and integrals to tackle complex puzzles like tracking wild animal populations.

You will even look at how doctors use these math tools to read medical scans or how cities manage traffic. You will learn about the role of calculus in statistics, standardized test making, and economics through case studies. You will assess applications through data and graphs, equations, calculus computations, and educated guesses and predictions.

Why it stands out: It completely skips repetitive math practice to show you how advanced concepts apply to real scenarios through a flexible course format.

9. UC Scout AP Calculus AB

Location: Online (via University of California’s UC Scout)
Cost: Free for California public school students using school-provided promo codes | $29/semester for the video-supplement Basic – $399/semester for the fully accredited, teacher-supported On Demand plan for out-of-state and private school students
Acceptance rate/cohort size: Open enrollment (no cap)
Dates: Self-paced; a two-semester course requiring roughly 70-plus hours per term; the Summer term concludes on August 4th, and the upcoming Fall term launches on August 12th
Application deadline: June 25th (Summer) | November 4th (Fall)
Eligibility: High school students; domestic and international students can apply

UC Scout, a University of California program, offers AP Calculus AB as a flexible, A-G-approved online course across two semesters. You will move through functions, graphs, limits, implicit differentiation, and integration using video lessons and assignments you can complete on your own schedule. 

In the On-Demand plan, a California-credentialed teacher will support you, and your grade will be offered on an accredited transcript, letting you take a college-approved AP course your own school does not offer and strengthen a UC or CSU application. California public school students can access the self-study versions for free, while others enroll at a small fee.

Why it stands out: It is free for California public school students and is designed to prepare and offer real weight during admissions to future UC and CSU applicants.

10. Wolfram U’s Introduction to Calculus Course

Location: Online (via the Wolfram Cloud)
Cost: Free (includes a certificate)
Acceptance rate/cohort size: Open enrollment (no cap)
Dates: Self-paced; typical commitment of about 12 hours
Application Deadline: None; open enrollment
Eligibility: Open to anyone worldwide; a background in trigonometry or precalculus is recommended

Wolfram U’s Introduction to Calculus covers all of Calculus 1 and some of Calculus 2 through 38 interactive video lessons in a self-paced, beginner-friendly format. You will progress from functions and limits to differential calculus, integral calculus, and a first look at differential equations, with a chat-based AI Course Assistant = to answer your questions. 

You will explore each idea hands-on in interactive notebooks and test yourself with quizzes and a sample exam modeled on AP Calculus AB. The course is designed to help you master the fundamentals and prepare for the AP test while earning a certificate.

Why it stands out: Its interactive Wolfram Cloud notebooks and built-in AI assistant let you experiment with calculus concepts as you learn them at no cost.

11. Khan Academy AP Calculus AB

Location: Online (via Khan Academy)
Cost: Free
Acceptance rate/cohort size: Open enrollment (no cap)
Dates: Self-paced; available year-round to start anytime
Application deadline: None; open enrollment
Eligibility: Open to anyone worldwide

This Khan Academy course turns the full AP Calculus AB curriculum into a free, self-paced module-based program you can work through from anywhere. You will move through concepts limits, derivatives, and integrals using short instructional videos, then explore each idea with practice exercises. 

The course gives you quizzes that mirror real examinations, offering instant feedback and a dashboard to track your progress, so you get to study exactly what you need and walk into the AP test prepared. As every lesson is free and open, this can be an accessible way to add to your classroom calculus knowledge. 

Why it stands out: You will have access to free, exam-aligned resources for an AP Calculus AB self-study that are developed in partnership with the College Board.

12. Khan Academy AP Calculus BC

Location: Online (via Khan Academy)
Cost: Free
Acceptance rate/cohort size: Open enrollment (no cap)
Dates: Self-paced; available year-round to start anytime
Application deadline: None; open enrollment
Eligibility: Open to anyone worldwide

Khan Academy’s AP Calculus BC course is a free, self-paced extension of its AB material, covering the more advanced topics the BC exam demands. You will review limits, derivatives, and integrals, then explore series, parametric equations, and polar functions through short videos and adaptive practice. 

As the College Board’s official practice partner, Khan Academy offers you exam-style questions with instant feedback that pinpoints your weak spots, so you can target your study and work toward a strong BC score. Like the AB course, this free course lets you explore and revisit advanced concepts to build a strong calculus foundation.

Why it stands out: It extends Khan Academy’s free, exam-aligned model to the full BC syllabus, helping you explore topics through text and exercises built with the College Board.

13. FLVS: AP Calculus AB

Location: Online
Cost: Free for Florida residents; $475/semester for out-of-state and international students enrolling through FlexPoint
Acceptance rate/cohort size: Open enrollment (no cap)
Dates: Self-paced with year-round rolling enrollment; a full-year, two-semester course
Application deadline: None; enrollment open year-round
Eligibility: Students worldwide in grades 9 to 12; prerequisites include Geometry, Algebra 1, Algebra 2, and Pre-Calculus or Trigonometry/Analytical Geometry

Florida Virtual School offers AP Calculus AB as a full, accredited high-school year of college-level work, taught online by a state-certified teacher. You will study limits, continuity, differentiation, integration, differential equations, and the applications of derivatives and integrals at your own pace. 

You will be graded on your work through writing assignments, projects, research papers, practice lessons, multiple-choice questions, oral assessments, or discussions. Unlike a self-study course, you will get one-on-one support from a real teacher by phone, text, email, or video the whole way, so you can stay on track toward the AP exam. 

Why it stands out: It is a fully accredited, teacher-supported AP course that appears on a transcript, free to Florida students and open worldwide through FlexPoint.

14. Modern States Calculus

Location: Online
Cost: Free (including a voucher that covers the CLEP Calculus exam fee on completion)
Acceptance rate/cohort size: Open enrollment (no cap)
Dates: Self-paced; takes about 15 to 40 hours to complete
Application deadline: None; you can register anytime
Eligibility: Open to anyone 13 and older worldwide

Modern States, as part of its “Freshman Year for Free” initiative, offers a free, self-paced Calculus course aligned to the CLEP Calculus exam. The course is a result of a collaboration between Modern States and Tufts and Ohio State faculty. 

You will learn limits, differential calculus, and integral calculus through video lessons taught by college professors, with free digital textbooks, quizzes, and practice tests. Upon completing the course, you will earn a free voucher that covers the CLEP exam fee, so a passing score will turn a semester of calculus into real college credit at no cost to you. 

Why it stands out: It is a free end-to-end course, textbook, and exam voucher, making it an accessible way to learn calculus and earn real college credit.

15. Learnvia’s Calculus I 

Location: Online on Learnvia (launched by Carnegie Mellon University and the Gates Foundation)
Cost: Free
Acceptance rate/cohort size: Open enrollment with no capacity caps
Dates: Self-paced with open modules
Application deadline: None; you can create a free account and start learning at any time
Eligibility: Open to learners globally

The Learnvia platform gives students free access to a Calculus I course that blends short lessons, practice quizzes, and an interactive discussion forum to help you build a mathematical foundation. You will cover topics like functions, limits, continuity, differentiation, applications of the derivative, and definite integrals and integration. 

The course comes with a built-in AI tutor to guide you through tricky problems using research-driven learning science. You will get instant, personalized feedback on every single homework question.

Why it stands out: The course pairs an advanced AI tutor with a free self-paced curriculum to help you explore calculus at your own pace with some support. 

Frequently asked questions: Online calculus courses for high school students

Are online calculus courses for high school students free?

Many are, including MIT OpenCourseWare’s Single Variable Calculus, Ohio State’s MOOCulus, Khan Academy’s AP Calculus AB and BC, and Modern States Calculus. A few programs charge a modest fee, like ASU’s Calculus for Engineers at $25 to enroll, or FLVS’s AP Calculus AB at $475 per semester for out-of-state students. Immerse’s Mathematics Online Research Programme is one of the more selective and costly options, though scholarships are available through its bursary programme.

Do online calculus courses award transferable college credit?

Some do, though many instead offer just a certificate or AP exam preparation. ASU’s Calculus for Engineers and Modern States Calculus both let you earn real transferable credit, the latter through a free CLEP exam voucher. Most other courses, including MIT OpenCourseWare and Khan Academy’s AP courses, are designed to build understanding or prepare you for an AP exam rather than issue credit directly.

What is the difference between a self-paced course and an AP-aligned course?

Self-paced courses, like MIT OpenCourseWare or the University of Sydney’s Introduction to Calculus on Coursera, let you move through material on your own schedule without any exam requirement. AP-aligned courses, like Khan Academy’s AP Calculus AB and BC or FLVS’s AP Calculus AB, instead follow the College Board’s curriculum specifically to prepare you for the AP exam, sometimes with a state-certified teacher’s support. If your goal is AP credit specifically, an AP-aligned course is the more direct path.

Do you need prior math experience before starting an online calculus course?

It depends on the course. Delft University’s Pre-University Calculus is designed as a bridge for students without extensive prior preparation, while ASU’s Calculus for Engineers strongly recommends completing precalculus first. Harvard’s Calculus Applied! explicitly requires having already completed a single-variable calculus course. Check each program’s prerequisites closely, since some courses assume considerably more background than others.

How selective are online calculus courses for high school students?

Most online calculus courses have open enrollment with no application process at all, including MIT OpenCourseWare, Khan Academy, and Wolfram U’s Introduction to Calculus. Immerse’s Mathematics Online Research Programme is a notable exception, described as fairly selective. If selectivity is a concern, the vast majority of courses in this list are accessible to any student regardless of academic record.

Is Immerse Education a good option for advanced math exploration?

Immerse’s Mathematics Online Research Programme is a strong choice if you want individualized, Oxbridge-style mentorship rather than a self-paced video course. The program covers advanced topics like modern geometry, number theory, and matrix calculus, emphasizing the construction of clear, logical proofs over simply finding answers. Taught by Oxbridge-trained tutors in small groups, it offers a more personalized alternative to the free, open-enrollment courses listed here, though it comes at a cost with bursary support available.

Beyond The Equations: What Comes Next

Choosing among these online calculus courses for high school students gives you a genuine introduction to advanced mathematical thinking and problem-solving.

Once the course ends, you can turn that quantitative foundation into a clearer sense of your academic and career direction.

The analytical skills, confidence, and math fluency you built become a strong foundation for stronger university applications ahead.

Keep building on what you started this summer by exploring our University Preparation blogs for guidance on your next steps.