Free Calculus 2 Video Lessons with Transcripts (4 College Credits) | UPI Study

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Calculus 2: every lesson, free to watch

10 chapters · 54 video lessons with full transcriptsMath 265 · 4 credits · recommended for credit by NCCRS

Earn 4 college credits for Calculus 2Watch any lesson free. Enrolling adds the quizzes, graded work and the transcript that earn the credit.
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Chapter 1Review & Advanced Integration Techniques

  1. 1.1 · 12 minThe Substitution Rule
  2. 1.2 · 11 minIntegration by Parts
  3. 1.3 · 11 minTrigonometric Integrals
  4. 1.4 · 11 minTrigonometric Substitution
  5. 1.5 · 13 minPartial Fraction Decomposition
  6. 1.6 · 10 minA General Strategy for Integration
  7. 1.7 · 11 minNumerical Integration

Chapter 2Indeterminate Forms & Improper Integrals

  1. 2.1 · 13 minL'Hopital's Rule
  2. 2.2 · 12 minImproper Integrals - Type I
  3. 2.3 · 11 minImproper Integrals - Type II
  4. 2.4 · 11 minThe Comparison Theorem

Chapter 3Hyperbolic Functions

  1. 3.1 · 11 minHyperbolic Functions: Definitions and Graphs
  2. 3.2 · 11 minHyperbolic Identities
  3. 3.3 · 11 minDerivatives of Hyperbolic Functions
  4. 3.4 · 12 minIntegrals and Inverse Hyperbolic Functions

Chapter 4Applications of Integration

  1. 4.1 · 11 minAreas Between Curves
  2. 4.2 · 10 minVolumes: The Disk and Washer Method
  3. 4.3 · 10 minVolumes: The Cylindrical Shell Method
  4. 4.4 · 11 minArc Length of a Curve
  5. 4.5 · 9 minSurface Area of a Solid of Revolution
  6. 4.6 · 10 minWork

Chapter 5Differential Equations

  1. 5.1 · 11 minDifferential Equations: Order, Solutions, and IVPs
  2. 5.2 · 10 minSlope Fields and Euler's Method
  3. 5.3 · 10 minSeparable Differential Equations
  4. 5.4 · 12 minExponential Growth and Decay
  5. 5.5 · 9 minThe Logistic Model

Chapter 6Sequences & Introduction to Series

  1. 6.1 · 10 minSequences
  2. 6.2 · 9 minInfinite Series and Partial Sums
  3. 6.3 · 11 minGeometric Series
  4. 6.4 · 9 minTelescoping Series
  5. 6.5 · 10 minProperties of Convergent Series

Chapter 7Convergence Tests for Series

  1. 7.1 · 9 minThe Integral Test and p-Series
  2. 7.2 · 9 minThe Comparison and Limit Comparison Tests
  3. 7.3 · 10 minThe Alternating Series Test
  4. 7.4 · 10 minAbsolute and Conditional Convergence
  5. 7.5 · 10 minThe Ratio Test
  6. 7.6 · 9 minThe Root Test
  7. 7.7 · 9 minStrategy for Testing Series

Chapter 8Power Series & Taylor Series

  1. 8.1 · 11 minPower Series
  2. 8.2 · 9 minRepresentation of Functions as Power Series
  3. 8.3 · 9 minTaylor and Maclaurin Series
  4. 8.4 · 11 minTaylor Polynomials and the Remainder
  5. 8.5 · 10 minManipulating Taylor Series
  6. 8.6 · 10 minApplications of Series

Chapter 9Parametric Equations & Polar Coordinates

  1. 9.1 · 9 minParametric Curves
  2. 9.2 · 10 minCalculus with Parametric Curves
  3. 9.3 · 9 minArc Length and Surface Area in Parametric Form
  4. 9.4 · 9 minThe Polar Coordinate System
  5. 9.5 · 10 minPolar Curves
  6. 9.6 · 10 minAreas and Arc Length in Polar Coordinates

Chapter 10Vectors & the Geometry of Space

  1. 10.1 · 8 minVectors in R2 and R3
  2. 10.2 · 9 minThe Dot Product
  3. 10.3 · 9 minThe Cross Product
  4. 10.4 · 10 minApplications: Lines, Planes and Space Curves

FAQ

Questions about Calculus 2

Is this Calculus 2 lesson free?
Yes. Every one of the 54 video lessons in Calculus 2 has its own free page with the full transcript. The practice quizzes, graded work and college credit come with the course.
How many college credits is Calculus 2?
Calculus 2 (Math 265) carries a NCCRS credit recommendation for 4 semester credits. ACE and NCCRS have over 2,100 cooperating colleges that will consider accepting credits; the final decision is with the universities.
How much does Calculus 2 cost and what is included?
$250, paid once, with lifetime access: all 54 video lessons, a practice quiz after each, the graded work and final exam, and an official transcript when you finish. Students who want several courses choose UPI Study PRO instead.
Which universities accept UPI Study credits?
UPI Study has signed partner agreements with universities such as Thomas Edison State University, University of the People and Charter Oak State College, and works with universities such as Penn State, SNHU and SUNY. ACE and NCCRS have over 2,100 cooperating colleges that will consider accepting credits; the final decision is with the universities. Use "Find my college" on this page to check yours.
Can I download the Calculus 2 syllabus?
Yes, the full syllabus is a free PDF download; it asks you to sign in with a free UPI Study account first.
How long does Calculus 2 take?
It is self-paced with no deadlines. The 54 lessons total about 9 hours of video; most students add reading and practice time and finish in a few weeks to a few months, on their own schedule.
Do I need Calculus 1 first?
Chapter 1 reviews the integration techniques Calculus 2 builds on, so a student who finished Calculus 1 (or an equivalent) is ready. UPI Study also offers Calculus 1 and Calculus 3 as separate courses.
How are the exams done?
Quizzes and assignments are online in the course. The final exam is taken online with proctoring; a person on the UPI Study team checks assignments, usually within two days.
How do my credits reach my college?
When the course shows 100% complete, request the official transcript from your dashboard. It is sent to the college you name, and you can send it to more than one. Check your college first with "Find my college" on this page, or ask Athena.
Is there a way to get every course, not just this one?
Yes. UPI Study PRO gives access to every current course, monthly, yearly, or once for Lifetime access. See the pricing page for the plans.