Calculus 1 — Online Calculus Course
Sign In to Download the Syllabus
The Maths 165 syllabus is available to enrolled or registered students. Sign in to your UPI Study account to download it instantly — or enroll today to get access.
Once signed in, the syllabus will download automatically. No extra steps.
Calculus
1
A foundational yet rigorous introduction to differential and integral calculus. Master limits, derivatives, and integrals in a way that builds real intuition — not just formulas.
What You'll Learn
A full semester of Calculus 1 — completed at your own pace, with no deadlines or fixed class times.
What You'll Be Able to Do
- Evaluate functions using function notation, determine domains and ranges, and construct mathematical models using appropriate families of functions
- Explain and evaluate limits graphically, numerically, and analytically — including one-sided limits, limits at infinity, and the epsilon–delta definition — and determine continuity and classify discontinuities
- Interpret the derivative as a rate of change and slope of a tangent line, compute derivatives using the limit definition, and relate differentiability to continuity
- Apply differentiation rules — power, product, quotient, and chain — to algebraic, exponential, logarithmic, trigonometric, and inverse trigonometric functions, including implicit and logarithmic differentiation
- Use derivatives to locate and classify extrema, analyze concavity, sketch curves, apply the Mean Value Theorem, and solve optimization and related-rates problems
- Model exponential growth and decay and apply L'Hôpital's Rule to evaluate indeterminate forms
- Compute antiderivatives, approximate area with Riemann sums, evaluate definite integrals, apply the Fundamental Theorem of Calculus, and use substitution and integration to solve accumulation, net change, motion, and area-between-curves problems
Major Course Topics
How It Works
Three steps from enrollment to transferable college credit — no campus visits, no application required.
Pick & Enroll
Start one or more courses covering lower or upper division requirements — instantly, today.
Earn College Credit
Watch short video lessons, take quizzes and the final exam — all from home, on your schedule.
Transfer Your Credits
Send earned credits to your school and graduate sooner, at a fraction of the cost.
Does My School Accept This Course?
UPI Study courses carry NCCRS recommendations — the same standard recognized by hundreds of cooperating colleges and universities. Check if your school is on our list and move forward with confidence — or schedule a call with our team.
Students Also Enrolled In
Stack multiple courses to build 6, 9, or 12+ transferable college credits — at a fraction of the cost of most campus options.
UPI Study Courses Include
Build analytical strength with Calculus 1.
The foundation of quantitative thinking. Limits, derivatives, and integrals explained in a way that builds real intuition — not just formulas.
🎯 Why It Matters
- Develop rigorous quantitative and analytical thinking
- Build a foundation for advanced STEM coursework
- Apply scientific and mathematical reasoning to real problems
- Strengthen skills valued across engineering, research, and data fields
💼 In-Demand Careers
- Research Assistant
- Lab Technician
- Data Analyst
- Engineering Technician
- Science Educator
- Technical Writer
🚀 How This Sets You Up
- Complete structured lessons and a comprehensive final exam
- Earn 4 transferable college credit hours
- Recognized by NCCRS cooperating universities globally
- Self-paced — no deadlines, no campus visits required
135,000+ Learners.
Real Results.
From college freshmen to career changers, international students to working adults — here's what our community says.
Earn up to $200 Cashback
When You Refer a Friend
Invite a friend to join UPI Study and help them cut their college costs from day one. They save big, you earn up to $200 cashback — everyone wins, and it takes less than a minute to share.
View Referral Bonus →
Common Questions Answered.
Everything you need to know about Calculus 1 — credits, grading, transfer, and how it compares to traditional options.
What is Calculus 1?
Is this course difficult?
Is this course self-paced?
How many college credits is this course worth?
Are there exams? How is grading done?
How do I check if my university accepts UPI Study credits?
How does UPI Study compare to a traditional university course?
Can international students take this course?
Still have questions? Our team answers within hours — not days.
Book a Free 15-Min Call with UPI Team →We're Here When You Need Us
Book an Advisor Call
Talk directly with our team about how credits transfer and whether your university accepts them.
WhatsApp Support
Quick answers about credits, course selection, pricing, and transfer policies — over WhatsApp.
Text Us
Prefer SMS? Text UPI Study for help with enrollment, exams, and credit transfer to your university.
Transfer Credit Blog
In-depth guides on testing out of courses, transfer credit policies, ACE evaluations, and saving on tuition.
Why Take College Credits?
Quick answers about transferable online credits, test-out style learning, and ACE & NCCRS-recommended options through UPI Study.
Which universities accept these credits?
UPI Study courses carry NCCRS recommendations recognized by many cooperating colleges and universities across the U.S., Canada, and UK.
Who can take self-paced college courses?
Anyone can enroll — including high school students, incoming college students, adult learners, and students trying to test out of traditional courses.
Why choose this over traditional classes?
Save time and reduce tuition costs. Many students complete prerequisites faster and shorten their time to graduation — at a fraction of the cost.
How many credits can I earn?
This course is NCCRS-recommended for 4 semester credit hours. Transfer as many credits as your university allows — students have transferred anywhere from 3 to 90+ credits depending on their school's policy.
Everything You Need to Succeed
Video-Based Lessons
HD video lectures broken into short, focused modules. Watch at your own pace — pause, rewind, replay any time.
Quizzes & Final Exam
Evaluate your understanding after every section with quizzes and a comprehensive final exam that mirrors real college assessment.
Structured College-Level Course
Structured lessons covering every topic — designed as a standard Calculus 1 college-level course.
Official Transcript
Complete the course, request your transcript, and transfer 4 credit hours to cooperating universities. No separate exam required.
Earn 4 College Credits
for $250.
Self-paced. No deadlines. NCCRS-recommended, recognized by cooperating universities. Join 135,000+ learners on the UPI Study platform.