Become a Calculus 2 Master

About Course

Learn Calculus 2 for free with this comprehensive online course. This course, offered through Theetay, provides access to top-rated educational content from platforms like Udemy, Udacity, Coursera, MasterClass, and NearPeer. Enhance your understanding of Calculus 2 with detailed video lessons, notes, quizzes, and workbooks.

Dive into key topics including:

Integrals
Applications of Integrals
Polar & Parametric
Sequences & Series

This course is perfect for students seeking to master Calculus 2, improve their math skills, or gain a deeper understanding of mathematical concepts. Enroll now and take advantage of this free opportunity to unlock the world of Calculus 2.

Integrals, including approximating area, the dreaded Fundamental Theorem of Calculus, and every kind of integration technique
Applications of Integrals, including volume of revolution with disks, washers and shells, and all kinds of real world applications
Polar & Parametric, including how to sketch polar curves and find the area bounded by polar curves
Sequences & Series, including all the convergence tests, and Taylor and Maclaurin series

Course Content

01 – Getting started

001 What we’ll learn in this course.mp4

00:00
002 How to get the most out of this course.mp4

00:00
003 Download the formula sheet.html

00:00
004 The EVERYTHING download.html

00:00
Section Quiz

02 – Integrals – Antiderivatives and indefinite integrals

001 Introduction to antiderivatives and indefinite integrals.html

00:00
002 Antiderivatives and indefinite integrals.mp4

00:00
003 Indefinite integrals.html

00:00
004 Indefinite integrals.mp4

00:00
005 Properties of integrals.mp4

00:00
006 Find f given f”.mp4

00:00
007 Find f given f”’.mp4

00:00
008 Initial value problems.html

00:00
009 Initial value problems.mp4

00:00
010 Find f given f” and initial conditions.mp4

00:00
011 BONUS! Extra practice problems. ).html

00:00
Section Quiz

03 – Integrals – Definite integrals

04 – Integrals – Riemann sums

001 Introduction to riemann sums.html

00:00
002 Summation notation, finding the sum.mp4

00:00
003 Summation notation, expanding.mp4

00:00
004 Summation notation, collapsing.mp4

00:00
005 Riemann sums.html

00:00
006 Riemann sums, left endpoints.mp4

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007 Riemann sums, right endpoints.mp4

00:00
008 Riemann sums, midpoints.mp4

00:00
009 BONUS! Extra practice problems. ).html

00:00
Section Quiz

05 – Integrals – Other approximation methods

001 Introduction to other approximation methods.html

00:00
002 Over and underestimation.mp4

00:00
003 Limit process to find area on (a,b).mp4

00:00
004 Limit process to find area on (-a,a).mp4

00:00
005 Trapezoidal rule.html

00:00
006 Trapezoidal rule.mp4

00:00
007 Simpson’s rule.html

00:00
008 Simpson’s rule.mp4

00:00
009 BONUS! Extra practice problems. ).html

00:00
Section Quiz

06 – Integrals – Error bounds

07 – Integrals – Fundamental theorem of calculus

08 – Integrals – U-substitution

09 – Integrals – Integration by parts

001 Introduction to integration by parts.html

00:00
002 Integration by parts.html

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003 Integration by parts.mp4

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004 Integration by parts two times.html

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005 Integration by parts two times.mp4

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006 Integration by parts three times.mp4

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007 Integration by parts with u-substitution.mp4

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008 Prove the reduction formula.mp4

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009 Tabular integration.html

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010 Tabular integration.mp4

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011 BONUS! Extra practice problems. ).html

00:00
Section Quiz

10 – Integrals – Partial fractions

001 Introduction to partial fractions.html

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002 Partial fractions.html

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003 Distinct linear factors.mp4

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004 Distinct linear factors, example 2.mp4

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005 Distinct linear factors, example 3.mp4

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006 Distinct quadratic factors.mp4

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007 Distinct quadratic factors, example 2.mp4

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008 Distinct quadratic factors, example 3.mp4

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009 Repeated linear factors.mp4

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010 Repeated quadratic factors.mp4

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011 Repeated quadratic factors, example 2.mp4

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012 Rationalizing substitutions.html

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013 Rationalizing substitutions.mp4

00:00
014 BONUS! Extra practice problems. ).html

00:00
Section Quiz

11 – Integrals – Trigonometric integrals

001 Introduction to trigonometric integrals.html

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002 Trigonometric integrals.html

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003 Trigonometric integrals.mp4

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004 Trigonometric integrals, example 2.mp4

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005 sin^m cos^n, odd m.mp4

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006 sin^m cos^n, odd n.mp4

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007 sin^m cos^n, m and n even.mp4

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008 tan^m sec^n, odd m.mp4

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009 tan^m sec^n, even n.mp4

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010 tan^m sec^n, even n, example 2.mp4

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011 sin(mx) cos(nx).mp4

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012 sin(mx) sin(nx).mp4

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013 cos(mx) cos(nx).mp4

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014 BONUS! Extra practice problems. ).html

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Section Quiz

12 – Integrals – Hyperbolic integrals

13 – Integrals – Trigonometric substitution

001 Introduction to trigonometric substitution.html

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002 Trigonometric substitution.html

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003 Trigonometric substitution setup.mp4

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004 Trigonometric substitution with secant.mp4

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005 Trigonometric substitution with sine.mp4

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006 Trigonometric substitution with sine, example 2.mp4

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007 Trigonometric substitution with tangent.mp4

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008 Trigonometric substitution with tangent, example 2.mp4

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009 Quadratic functions.html

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010 Quadratic functions.mp4

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011 BONUS! Extra practice problems. ).html

00:00
Section Quiz

14 – Integrals – Improper integrals

001 Introduction to improper integrals.html

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002 What makes an integral improper.mp4

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003 Improper integrals.html

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004 Case 1 (a,infinity).mp4

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005 Case 2 (-infinity,b).mp4

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006 Case 3 (-infinity,infinity).mp4

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007 Case 4 (discontinuity at b).mp4

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008 Case 5 (discontinuity at a).mp4

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009 Case 6 (discontinuity between a and b).mp4

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010 Comparison theorem.html

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011 Comparison theorem.mp4

00:00
012 BONUS! Extra practice problems. ).html

00:00
Section Quiz

15 – Integrals – Reduction formulas

16 – Applications of Integrals – Area between curves

17 – Applications of Integrals – Arc length

18 – Applications of Integrals – Average value

19 – Applications of Integrals – Surface area of revolution

20 – Applications of Integrals – Volume of revolution

001 Introduction to volume of revolution.html

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002 Disks.html

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003 Disks, horizontal axis.mp4

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004 Disks, vertical axis.mp4

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005 Disks, vertical axis, example 2.mp4

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006 Disks, volume of the frustum.mp4

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007 Washers.html

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008 Washers, horizontal axis.mp4

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009 Washers, horizontal axis, example 2.mp4

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010 Washers, vertical axis.mp4

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011 Cylindrical shells.html

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012 Cylindrical shells, horizontal axis.mp4

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013 Cylindrical shells, vertical axis.mp4

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014 Cylindrical shells, vertical axis, example 2.mp4

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015 BONUS! Extra practice problems. ).html

00:00
Section Quiz

21 – Applications of Integrals – Work

001 Introduction to work.html

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002 Work done to lift a mass or weight.html

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003 Work done to lift a mass or weight.mp4

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004 Work done on elastic springs.html

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005 Work done on elastic springs.mp4

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006 Work done to empty a tank.html

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007 Work done to empty a tank.mp4

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008 Work done by a variable force.html

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009 Work done by a variable force.mp4

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010 BONUS! Extra practice problems. ).html

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Section Quiz

22 – Applications of Integrals – Physics

001 Introduction to physics.html

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002 Moments and center of mass of the system.html

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003 Moments of the system.mp4

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004 Moments of the system, x-axis.mp4

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005 Center of mass of the system.mp4

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006 Center of mass of the system, x-axis.mp4

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007 Hydrostatic pressure and force.html

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008 Hydrostatic pressure.mp4

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009 Hydrostatic force.mp4

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010 Vertical motion.html

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011 Vertical motion.mp4

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012 Rectilinear motion.html

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013 Rectilinear motion.mp4

00:00
014 BONUS! Extra practice problems. ).html

00:00
Section Quiz

23 – Applications of Integrals – Geometry

24 – Applications of Integrals – Economics

001 Introduction to economics.html

00:00
002 Present and future value.html

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003 Single deposit, compounded n times, future value.mp4

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003 Single deposit, compounded n times, future value.mp4

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004 Single deposit, compounded n times, present value.mp4

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005 Single deposit, compounded continuously, future value.mp4

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006 Single deposit, compounded continuously, present value.mp4

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007 Income stream, compounded continuously, future value.mp4

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008 Income stream, compounded continuously, present value.mp4

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009 Consumer and producer surplus.html

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010 Consumer and producer surplus.mp4

00:00
011 BONUS! Extra practice problems. ).html

00:00
Section Quiz

25 – Applications of Integrals – Probability

26 – Applications of Integrals – Biology

27 – Polar & Parametric – Parametric curves

001 Introduction to parametric curves.html

00:00
002 Eliminating the parameter.html

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003 Eliminating the parameter.mp4

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004 Derivative of a parametric curve.html

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005 Derivative of a parametric curve.mp4

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006 Second derivative of a parametric curve.html

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007 Second derivative of a parametric curve.mp4

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008 Sketching parametric curves by plotting points.html

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009 Sketching parametric curves by plotting points.mp4

00:00
010 BONUS! Extra practice problems. ).html

00:00
Section Quiz

28 – Polar & Parametric – Calculus with parametric curves

001 Introduction to calculus with parametric curves.html

00:00
002 Tangent line to the parametric curve.html

00:00
003 Tangent line to the parametric curve.mp4

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004 Area under a parametric curve.html

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005 Area under a parametric curve.mp4

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006 Area under one arc or loop of a parametric curve.html

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007 Area under one arc or loop of a parametric curve.mp4

00:00
008 Arc length of a parametric curve.html

00:00
009 Arc length of a parametric curve.mp4

00:00
010 Arc length, particle motion.mp4

00:00
011 Arc length, simpson’s rule.mp4

00:00
012 Surface area of revolution of a parametric curve, horizontal axis.html

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013 Surface area of revolution of a parametric curve, horizontal axis.mp4

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014 Surface area of revolution of a parametric curve, vertical axis.html

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015 Surface area of revolution of a parametric curve, vertical axis.mp4

00:00
016 Volume of revolution with parametric curves.html

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017 Volume of revolution with parametric curves.mp4

00:00
018 BONUS! Extra practice problems. ).html

00:00
Section Quiz

29 – Polar & Parametric – Polar curves

001 Introduction to polar curves.html

00:00
002 Converting to polar coordinates.html

00:00
003 Converting to polar coordinates.mp4

00:00
004 Converting rectangular equations.html

00:00
005 Converting rectangular equations.mp4

00:00
006 Converting polar equations.html

00:00
007 Converting polar equations.mp4

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008 Distance between polar points.html

00:00
009 Distance between polar points.mp4

00:00
010 Sketching polar curves.html

00:00
011 Sketching polar curves.mp4

00:00
012 Sketching polar curves from cartesian curves.mp4

00:00
013 BONUS! Extra practice problems. ).html

00:00
Section Quiz

30 – Polar & Parametric – Calculus with polar curves

001 Introduction to calculus with polar curves.html

00:00
002 Tangent line to the polar curve.html

00:00
003 Tangent line to the polar curve.mp4

00:00
004 Vertical and horizontal tangent lines to the polar curve.html

00:00
005 Vertical and horizontal tangent lines to the polar curve.mp4

00:00
006 Intersection of polar curves.html

00:00
007 Intersection of polar curves.mp4

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008 Area inside a polar curve.html

00:00
009 Area inside a polar curve.mp4

00:00
010 Area bounded by one loop of a polar curve.html

00:00
011 Area bounded by one loop of a polar curve.mp4

00:00
012 Area between polar curves.html

00:00
013 Area between polar curves.mp4

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014 Area inside both polar curves.html

00:00
015 Area inside both polar curves.mp4

00:00
016 Arc length of a polar curve.html

00:00
017 Arc length of a polar curve.mp4

00:00
018 Arc length of a polar curve, example 2.mp4

00:00
019 Surface area of revolution of a polar curve.html

00:00
020 Surface area of revolution of a polar curve.mp4

00:00
021 BONUS! Extra practice problems. ).html

00:00
Section Quiz

31 – Sequences & Series – Sequences

001 Introduction to sequences.html

00:00
002 Sequences vs. series.html

00:00
003 Listing the first terms.mp4

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004 Calculating the first terms.mp4

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005 Formula for the general term.html

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006 Formula for the general term.mp4

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007 Convergence of a sequence.html

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008 Convergence of a sequence.mp4

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009 Limit of a convergent sequence.html

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010 Limit of a convergent sequence.mp4

00:00
011 Increasing, decreasing, and not monotonic.html

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012 Increasing, decreasing, and not monotonic.mp4

00:00
013 Bounded sequences.html

00:00
014 Bounded sequences.mp4

00:00
015 BONUS! Extra practice problems. ).html

00:00
Section Quiz

32 – Sequences & Series – Partial sums

33 – Sequences & Series – Geometric series

001 Introduction to geometric series.html

00:00
002 Geometric series test.html

00:00
003 Geometric series test.mp4

00:00
004 Sum of the geometric series.html

00:00
005 Sum of the geometric series.mp4

00:00
006 Values for which the series converges.mp4

00:00
007 Geometric series for repeating decimals.html

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008 Geometric series for repeating decimals.mp4

00:00
009 BONUS! Extra practice problems. ).html

00:00
Section Quiz

34 – Sequences & Series – Telescoping series

35 – Sequences & Series – Basic convergence tests

001 Introduction to basic convergence tests.html

00:00
002 Limit vs. sum of the series.html

00:00
003 Limit vs. sum of the series.mp4

00:00
004 Integral test.html

00:00
005 Integral test.mp4

00:00
006 p-series test.html

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007 p-series test.mp4

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008 nth term test.html

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009 nth term test.mp4

00:00
010 BONUS! Extra practice problems. ).html

00:00
Section Quiz

36 – Sequences & Series – Comparison tests

001 Introduction to comparison tests.html

00:00
002 Comparison test.html

00:00
003 Comparison test.mp4

00:00
004 Limit comparison test.html

00:00
005 Limit comparison test.mp4

00:00
006 Error or remainder of a series.html

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007 Error or remainder of a series.mp4

00:00
008 BONUS! Extra practice problems. ).html

00:00
Section Quiz

37 – Sequences & Series – Ratio and root tests

001 Introduction to ratio and root tests.html

00:00
002 Ratio test.html

00:00
003 Ratio test.mp4

00:00
004 Ratio test with factorials.mp4

00:00
005 Root test.html

00:00
006 Root test.mp4

00:00
007 Absolute and conditional convergence.html

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008 Absolute and conditional convergence.mp4

00:00
009 BONUS! Extra practice problems. ).html

00:00
Section Quiz

38 – Sequences & Series – Alternating series test

39 – Sequences & Series – Power series

001 Introduction to power series.html

00:00
002 Power series representation.html

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003 Power series representation.mp4

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004 Power series multiplication.html

00:00
005 Power series multiplication.mp4

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006 Power series division.html

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007 Power series division.mp4

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008 Power series differentiation.html

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009 Power series differentiation.mp4

00:00
010 Radius and interval of convergence.html

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011 Radius of convergence.mp4

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012 Interval of convergence.mp4

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013 Estimating definite integrals.html

00:00
014 Estimating definite integrals.mp4

00:00
015 Estimating indefinite integrals.html

00:00
016 Estimating indefinite integrals.mp4

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017 Binomial series.html

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018 Binomial series.mp4

00:00
019 BONUS! Extra practice problems. ).html

00:00
Section Quiz

40 – Sequences & Series – Taylor series

001 Introduction to Taylor series.html

00:00
002 Taylor series.html

00:00
003 Taylor series.mp4

00:00
004 Radius and interval of convergence of a Taylor series.html

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005 Radius and interval of convergence of a Taylor series.mp4

00:00
006 Taylor’s inequality.html

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007 Taylor’s inequality.mp4

00:00
008 BONUS! Extra practice problems. ).html

00:00
Section Quiz

41 – Sequences & Series – Maclaurin series

001 Introduction to Maclaurin series.html

00:00
002 Maclaurin series.html

00:00
003 Maclaurin series.mp4

00:00
004 Sum of the Maclaurin series.html

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005 Sum of the Maclaurin series.mp4

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006 Radius and interval of convergence of a Maclaurin series.html

00:00
007 Radius and interval of convergence of a Maclaurin series.mp4

00:00
008 Indefinite integral as an infinite series.mp4

00:00
009 Maclaurin series to estimate an indefinite integral.mp4

00:00
010 Maclaurin series to estimate a definite integral.mp4

00:00
011 Maclaurin series to evaluate a limit.mp4

00:00
012 BONUS! Extra practice problems. ).html

00:00
Section Quiz

42 – Final exam and wrap-up

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Student Ratings & Reviews

5.0

Total 2 Ratings

2 Ratings

0 Rating

Ahmad Mushtaq

11 months ago

Like Calculus 1, this course was also to-the-point and well taught. Highly recommended to university students who have calculus courses in their first year.

Awais Asghar

1 year ago

Excellent Experience

About Course

What Will You Learn?

Course Content

01 – Getting started

001 What we’ll learn in this course.mp4

002 How to get the most out of this course.mp4

003 Download the formula sheet.html

004 The EVERYTHING download.html

Section Quiz

02 – Integrals – Antiderivatives and indefinite integrals

001 Introduction to antiderivatives and indefinite integrals.html

002 Antiderivatives and indefinite integrals.mp4

003 Indefinite integrals.html

004 Indefinite integrals.mp4

005 Properties of integrals.mp4

006 Find f given f”.mp4

007 Find f given f”’.mp4

008 Initial value problems.html

009 Initial value problems.mp4

010 Find f given f” and initial conditions.mp4

011 BONUS! Extra practice problems. ).html

Section Quiz

03 – Integrals – Definite integrals

001 Introduction to definite integrals.html

002 Definite integrals.html

003 Definite integrals.mp4

004 Area under or enclosed by the graph.mp4

005 Definite integrals of even and odd functions.html

006 Definite integrals of even and odd functions.mp4

007 BONUS! Extra practice problems. ).html

Section Quiz

04 – Integrals – Riemann sums

001 Introduction to riemann sums.html

002 Summation notation, finding the sum.mp4

003 Summation notation, expanding.mp4

004 Summation notation, collapsing.mp4

005 Riemann sums.html

006 Riemann sums, left endpoints.mp4

007 Riemann sums, right endpoints.mp4

008 Riemann sums, midpoints.mp4

009 BONUS! Extra practice problems. ).html

Section Quiz

05 – Integrals – Other approximation methods

001 Introduction to other approximation methods.html

002 Over and underestimation.mp4

003 Limit process to find area on (a,b).mp4

004 Limit process to find area on (-a,a).mp4

005 Trapezoidal rule.html

006 Trapezoidal rule.mp4

007 Simpson’s rule.html

008 Simpson’s rule.mp4

009 BONUS! Extra practice problems. ).html

Section Quiz

06 – Integrals – Error bounds

001 Introduction to error bounds.html

002 Error bounds.html

003 Midpoint rule error bound.mp4

004 Trapezoidal rule error bound.mp4

005 Simpson’s rule error bound.mp4

006 BONUS! Extra practice problems. ).html

Section Quiz

07 – Integrals – Fundamental theorem of calculus

001 Introduction to fundamental theorem of calculus.html

002 Part 1.html

003 Part 1.mp4

004 Part 2.html

005 Part 2.mp4

006 Net change theorem.mp4

007 BONUS! Extra practice problems. ).html

Section Quiz

08 – Integrals – U-substitution

001 Introduction to u-substitution.html

002 U-substitution.html

003 U-substitution.mp4

004 U-substitution in definite integrals.html

005 U-substitution in definite integrals.mp4

006 BONUS! Extra practice problems. ).html

Section Quiz

09 – Integrals – Integration by parts

001 Introduction to integration by parts.html