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Professor Leonard's Calculus 3: study plan and how long it takes

The Professor Leonard playlist is 34 videos and 75.4 hours long. Here's how long it takes at different paces, a week-by-week schedule built from the real videos, and a planner that turns it into your own daily plan.

34 videos · 75.4 hours · Professor Leonard

Professor Leonard's Calculus 3 covers vectors, dot and cross products, lines and planes, cylindrical and spherical coordinates, vector-valued functions and TNB frames, functions of several variables, partial derivatives and tangent planes, multiple integrals, change of variables, line integrals, and surface and flux integrals with the divergence and Stokes' theorems.

At over 75 hours, it's one of the longest free maths courses on YouTube.

Who it's for: Students taking multivariable calculus who want full-length, patient explanations.

How long does it take?

The full playlist is 75.4 hours across 34 videos. Here's roughly how many days that is at different daily watch times and speeds, counting video time only:

Days to finish the playlist by daily watch time and playback speed
Daily timeAt 1xAt 1.5xAt 2x
30 min a day151 days101 days76 days
1 h a day76 days51 days38 days
2 h a day38 days26 days19 days

Make your own schedule

The playlist link is already filled in. Press Plan, set how much time you have each day and your speed, and you'll get a day-by-day schedule with a finish date and a calendar file. It reads the live playlist, so new videos are included.

Open on YouTube Track watched videos

Week-by-week schedule

A sample plan at 2 hours a day and normal speed, using whole videos so none is split across days. That's 5 weeks in total. For a different pace, start date or speed, use the planner above.

Week 1Videos 1–7 · 16h 3m

  1. Day 1 · 2h 38m

    • 1Calculus 3 Lecture 11.1: An Introduction to Vectors2h 38m

  2. Day 2 · 1h 11m

    • 2Calculus 3 Lecture 11.2: Vectors in 3-D Coordinate System1h 11m

  3. Day 3 · 2h 29m

    • 3Calculus 3 Lecture 11.3: Using the Dot Product2h 29m

  4. Day 4 · 2h 11m

    • 4Calculus 3 Lecture 11.4: The Cross Product2h 11m

  5. Day 5 · 3h 21m

    • 5Calculus 3 Lecture 11.5: Lines and Planes in 3-D3h 21m

  6. Day 6 · 2h 32m

    • 6Calculus 3 Lecture 11.6: Cylinders and Surfaces in 3-D2h 32m

  7. Day 7 · 1h 40m

    • 7Calculus 3 Lecture 11.7: Using Cylindrical and Spherical Coordinates1h 40m
Week 2Videos 8–14 · 14h 43m

  1. Day 8 · 2h 5m

    • 8Calculus 3 Lecture 12.1: An Introduction To Vector Functions2h 5m

  2. Day 9 · 2h 42m

    • 9Calculus 3 Lecture 12.2: Derivatives and Integrals of Vector Functions2h 42m

  3. Day 10 · 2h 13m

    • 10Calculus 3 Lecture 12.3: Arc Length/Parameterization, TNB (Frenet-Serret) Intro2h 13m

  4. Day 11 · 2h 37m

    • 11Calculus 3 Lecture 12.3/12.5: TNB (Frenet-Serret) Frames, Curvature, Torsion, Encapsulation2h 37m

  5. Day 12 · 1h 2m

    • 12Calculus 3 Lecture 12.4: Velocity and Acceleration of Vector Functions1h 2m

  6. Day 13 · 1h 49m

    • 13Calculus 3 Lecture 13.1: Intro to Multivariable Functions (Domain, Sketching, Level Curves)1h 49m

  7. Day 14 · 2h 15m

    • 14Calculus 3 Lecture 13.2: Limits and Continuity of Multivariable Functions (with Squeeze Th.)2h 15m
Week 3Videos 15–22 · 16h 20m

  1. Day 15 · 2h 29m

    • 15Calculus 3 Lecture 13.3: Partial Derivatives (Derivatives of Multivariable Functions)2h 29m

  2. Day 16 · 1h 51m

    • 16Calculus 3 Lecture 13.4: Finding Differentials of Multivariable Functions1h 51m

  3. Day 17 · 2h 12m

    • 17Calculus 3 Lecture 13.5: The Chain Rule for Multivariable Functions2h 12m

  4. Day 18 · 2h 37m

    • 18Calculus 3 Lecture 13.6: Finding Directional Derivatives and Gradients2h 37m

  5. Day 19 · 1h 42m

    • 19Calculus 3 Lecture 13.7: Finding Tangent Planes and Normal Lines to Surfaces1h 42m

  6. Day 20 · 3h 38m

    • 20Calculus 3 Lecture 13.8: Finding Extrema of Functions of 2 Variables (Max and Min)3h 38m

  7. Day 21 · 1h 51m

    • 21Calculus 3 Lecture 13.9: Constrained Optimization with LaGrange Multipliers59m
    • 22Calculus 3 Lecture 14.1: INTRODUCTION to Double Integrals (Background Info)52m
Week 4Videos 23–29 · 17h 38m

  1. Day 22 · 3h 24m

    • 23Calculus 3 Lecture 14.2: How to Solve Double/Repeated/Iterated Integrals3h 24m

  2. Day 23 · 3h 25m

    • 24Calculus 3 Lecture 14.3: Double Integrals over POLAR REGIONS3h 25m

  3. Day 24 · 1h 17m

    • 25Calculus 3 Lecture 14.4: Center of Mass (and Moments of Mass and Inertia) for Lamina in 2-D1h 17m

  4. Day 25 · 3h 34m

    • 26Calculus 3 Lecture 14.6: How to Solve TRIPLE INTEGRALS (Along with Center of Mass and Volume)3h 34m

  5. Day 26 · 3h 20m

    • 27Calculus 3 Lecture 14.7: TRIPLE Integrals Over Regions with CYLINDRICAL or SPHERICAL Coord.3h 20m

  6. Day 27 · 1h 40m

    • 28Calculus 3 Lecture 14.8: How to Change Variables in Multiple Integrals (Using the Jacobian)1h 40m

  7. Day 28 · 58m

    • 29Calculus 3 Lecture 15.1: INTRODUCTION to Vector Fields (and what makes them Conservative)58m
Week 5Videos 30–34 · 10h 41m

  1. Day 29 · 1h 12m

    • 30Calculus 3 Lecture 15.2: How to Find Divergence and Curl of Vector Fields1h 12m

  2. Day 30 · 2h 17m

    • 31Calculus 3 Lecture 15.3: How to Compute Line Integrals (Over Non-Conservative V.Fields)2h 17m

  3. Day 31 · 1h 54m

    • 32Line Integrals on CONSERVATIVE Vector Fields (Independence of Path): Calculus 3 Lecture 15.41h 54m

  4. Day 32 · 1h 46m

    • 33Green's Theorem: Calculus 3 Lecture 15.51h 46m

  5. Day 33 · 3h 32m

    • 34Surface And Flux Integrals, Parametric Surf., Divergence/Stoke's Theorem: Calculus 3 Lecture 15.6_93h 32m

Tips for finishing

  • Plan it unit by unit with the planner's From and To fields; finishing it in one go is a big commitment.
  • Sketch every surface and region yourself as he does.

Frequently asked questions

How long does it take to finish Professor Leonard's Calculus 3?

The playlist has 34 videos and 75.4 hours of content. At 1 hour a day that's about 76 days at normal speed, or 51 days at 1.5x. At 2 hours a day it's about 38 days.

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