Calculus II — Online Calculus Course
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Calculus
2
Go deeper into the mathematics of the physical world. Integrals, series, and advanced techniques — plus parametric, polar, and vector topics that bridge into Calculus 3 — powering everything from engineering to economics.
What You'll Learn
A full college course covering both Calculus 2 and Calculus 3 topics — completed at your own pace, with no deadlines or fixed class times.
What You'll Be Able to Do
- Analyze and evaluate integrals by selecting and applying appropriate integration techniques — including substitution, integration by parts, trigonometric methods, and partial fractions — and justify the choice of method used
- Determine and interpret the behavior of functions involving indeterminate forms and improper integrals by applying limit analysis, L'Hôpital's Rule, and convergence tests
- Apply definite integrals to solve advanced applied problems, including areas, volumes, and arc length, and interpret results within mathematical and physical contexts
- Work with parametric equations, polar coordinates, and vector-valued functions to model motion and analyze curves — the topics that bridge Calculus 2 and Calculus 3
- Analyze sequences and infinite series to determine convergence or divergence using appropriate tests, and explain the reasoning behind each conclusion
- Construct and manipulate power series, including Taylor and Maclaurin series, to represent functions and approximate values, and evaluate the accuracy of approximations using error analysis
- Synthesize concepts from integral calculus and series to solve multi-step problems that require mathematical reasoning, correct notation, and clear justification of results
Major Course Topics
Advanced Topics: Polar, Parametric & Conic Sections
Beyond the NCCRS-recommended syllabus, every UPI Study enrollment includes an additional module that takes the parametric, polar, and conic material to a Calculus 3 depth — covering the calculus performed within these coordinate systems and a full treatment of the classical curves.
Note: This is supplementary enrichment material included in the UPI Study course. It is not part of the NCCRS-recommended Maths 265 syllabus and is not required for the 4-credit recommendation.
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 2.
Go deeper into the mathematics of the physical world. Integrals, series, and advanced techniques — plus parametric, polar, vector, and conic-section topics that bridge into Calculus 3 — power everything from engineering to economics.
🎯 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.
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Common Questions Answered.
Everything you need to know about Calculus 2 — credits, grading, transfer, and how it compares to traditional options.
What is Calculus 2?
Does this course cover Calculus 3 material?
Is this course difficult?
Is this course self-paced?
How many college credits is this course worth?
Are there exams? How is grading done?
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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 spanning Calculus 2 and Calculus 3 topics — designed as a complete college-level calculus 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.