Section 1 : Getting started
Lecture 1 Hi! START HERE Course overview 00:01:24 Duration
Lecture 2 Download the Calc 2 formula sheet
Lecture 3 The EVERYTHING download

Section 2 : . Integrals - Antiderivatives and indefinite integrals
Lecture 1 Introduction to antiderivatives and indefinite
Lecture 2 Antiderivatives and indefinite integrals 00:05:11 Duration
Lecture 3 Indefinite integrals
Lecture 4 Indefinite integrals 00:06:10 Duration
Lecture 5 Properties of integrals 00:05:34 Duration
Lecture 6 Find f given f'' 00:04:42 Duration
Lecture 7 Find f given f''' 00:07:19 Duration
Lecture 8 Initial value problems
Lecture 9 Initial value problems 00:06:54 Duration
Lecture 10 Find f given f'' and initial conditions 00:08:26 Duration
Lecture 11 BONUS! Extra practice problems

Section 3 : Integrals - Definite integrals
Lecture 1 Introduction to definite integrals
Lecture 2 Definite integrals
Lecture 3 Definite integrals 00:05:07 Duration
Lecture 4 Area under or enclosed by the graph 00:05:55 Duration
Lecture 5 Definite integrals of even and odd functions
Lecture 6 Definite integrals of even functions 00:05:00 Duration
Lecture 7 Definite integrals of odd functions 00:07:38 Duration
Lecture 8 BONUS! Extra practice problems

Section 4 : Integrals - Riemann sums
Lecture 1 Introduction to riemann sums
Lecture 2 Summation notation, finding the sum 00:03:47 Duration
Lecture 3 Summation notation, expanding 00:03:19 Duration
Lecture 4 Summation notation, collapsing 00:05:03 Duration
Lecture 5 Riemann sums
Lecture 6 Riemann sums, left endpoints 00:09:01 Duration
Lecture 7 Riemann sums, right endpoints 00:15:15 Duration
Lecture 8 Riemann sums, midpoints 00:10:21 Duration
Lecture 9 BONUS! Extra practice problems.

Section 5 : Integrals - Other approximation methods
Lecture 1 Introduction to other approximation methods
Lecture 2 Over and underestimation 00:10:08 Duration
Lecture 3 Limit process to find area on [a,b] 00:16:06 Duration
Lecture 4 Limit process to find area on [-a,a] 00:12:50 Duration
Lecture 5 Trapezoidal rule
Lecture 6 Trapezoidal rule 00:10:31 Duration
Lecture 7 Simpson's rule
Lecture 8 Simpson's rule 00:10:25 Duration
Lecture 9 BONUS! Extra practice problems

Section 6 : Integrals - Error bounds
Lecture 1 Introduction to error bounds
Lecture 2 Error bounds
Lecture 3 Midpoint rule error bound 00:22:18 Duration
Lecture 4 Trapezoidal rule error bound 00:20:52 Duration
Lecture 5 Simpson's rule error bound 00:19:35 Duration
Lecture 6 BONUS! Extra practice problems

Section 7 : Integrals - Fundamental theorem of calculus
Lecture 1 Introduction to fundamental theorem of calculu
Lecture 2 Part 1
Lecture 3 Part 1 00:11:32 Duration
Lecture 4 Part 2
Lecture 5 Part 2
Lecture 6 Net change theorem 00:06:34 Duration
Lecture 7 BONUS! Extra practice problems.

Section 8 : Integrals - U-substitution
Lecture 1 Introduction to u-substitution
Lecture 2 U-substitution
Lecture 3 U-substitution 00:08:04 Duration
Lecture 4 U-substitution in definite integrals
Lecture 5 U-substitution in definite integrals 00:10:36 Duration
Lecture 6 BONUS! Extra practice problems

Section 9 : Integrals - Integration by parts
Lecture 1 Introduction to integration by parts
Lecture 2 Integration by parts
Lecture 3 Integration by parts 00:07:46 Duration
Lecture 4 Integration by parts two times
Lecture 5 Integration by parts two times 00:13:36 Duration
Lecture 6 Integration by parts three times 00:10:31 Duration
Lecture 7 Integration by parts with u-substitution 00:08:55 Duration
Lecture 8 Prove the reduction formula 00:07:13 Duration
Lecture 9 Tabular integration
Lecture 10 Tabular integration 00:08:49 Duration
Lecture 11 BONUS! Extra practice problems

Section 10 : Integrals - Partial fractions
Lecture 1 Introduction to partial fractions
Lecture 2 Partial fractions
Lecture 3 Distinct linear factors 00:12:39 Duration
Lecture 4 Distinct linear factors, example 2 00:08:59 Duration
Lecture 5 Distinct linear factors, example 3 00:08:38 Duration
Lecture 6 Distinct quadratic factors 00:16:03 Duration
Lecture 7 Distinct quadratic factors, example 2 00:16:05 Duration
Lecture 8 Distinct quadratic factors, example 3 00:08:15 Duration
Lecture 9 Repeated linear factors 00:12:37 Duration
Lecture 10 Repeated quadratic factors
Lecture 11 Repeated quadratic factors, example 2 00:16:40 Duration
Lecture 12 Rationalizing substitutions
Lecture 13 Rationalizing substitutions 00:12:29 Duration
Lecture 14 How to factor a difficult denominator 00:20:22 Duration
Lecture 15 Two ways to find the constants 00:19:28 Duration
Lecture 16 BONUS! Extra practice problems

Section 11 : Integrals - Trigonometric integrals
Lecture 1 Introduction to trigonometric integrals
Lecture 2 Trigonometric integrals
Lecture 3 Trigonometric integrals 00:03:10 Duration
Lecture 4 Trigonometric integrals, example 2 00:11:07 Duration
Lecture 5 sin^m cos^n, odd m 00:09:58 Duration
Lecture 6 sin^m cos^n, odd n 00:11:05 Duration
Lecture 7 sin^m cos^n, m and n even 00:07:19 Duration
Lecture 8 tan^m sec^n, odd m 00:05:24 Duration
Lecture 9 tan^m sec^n, even n 00:05:30 Duration
Lecture 10 tan^m sec^n, even n, example 2 00:05:17 Duration
Lecture 11 sin(mx) cos(nx) 00:03:37 Duration
Lecture 12 sin(mx) sin(nx) 00:04:13 Duration
Lecture 13 cos(mx) cos(nx) 00:04:23 Duration
Lecture 14 BONUS! Extra practice problems

Section 12 : Integrals - Hyperbolic integrals
Lecture 1 Introduction to hyperbolic integrals
Lecture 2 Hyperbolic integrals
Lecture 3 Hyperbolic integrals 00:02:36 Duration
Lecture 4 Inverse hyperbolic integrals
Lecture 5 Inverse hyperbolic integrals 00:03:53 Duration
Lecture 6 BONUS! Extra practice problems

Section 13 : Integrals - Trigonometric substitution
Lecture 1 Introduction to trigonometric substitution
Lecture 2 Trigonometric substitution
Lecture 3 Trigonometric substitution setup 00:13:12 Duration
Lecture 4 Trigonometric substitution with secant 00:13:36 Duration
Lecture 5 Trigonometric substitution with sine 00:12:21 Duration
Lecture 6 Trigonometric substitution with sine, example 00:14:48 Duration
Lecture 7 Trigonometric substitution with tangent 00:14:48 Duration
Lecture 8 Trigonometric substitution with tangent, exam 00:21:36 Duration
Lecture 9 Quadratic functions
Lecture 10 Quadratic functions 00:14:03 Duration
Lecture 11 BONUS! Extra practice problems

Section 14 : Integrals - Improper integrals
Lecture 1 Introduction to improper integrals
Lecture 2 What makes an integral improper 00:04:33 Duration
Lecture 3 Improper integrals
Lecture 4 Case 1 [a,infinity) 00:07:43 Duration
Lecture 5 Case 2 (-infinity,b] 00:05:39 Duration
Lecture 6 Case 3 (-infinity,infinity) 00:12:20 Duration
Lecture 7 Case 4 (discontinuity at b) 00:14:06 Duration
Lecture 8 Case 5 (discontinuity at a) 00:06:51 Duration
Lecture 9 Case 6 (discontinuity between a and b) 00:08:36 Duration
Lecture 10 Comparison theorem
Lecture 11 Comparison theorem 00:11:17 Duration
Lecture 12 BONUS! Extra practice problems

Section 15 : Integrals - Reduction formulas
Lecture 1 Introduction to reduction formulas
Lecture 2 Integrals using reduction formulas 00:07:13 Duration
Lecture 3 BONUS! Extra practice problems.

Section 16 : Applications of Integrals - Area between curves
Lecture 1 Introduction to area between curves
Lecture 2 Area between curves
Lecture 3 Upper and lower curves 00:10:29 Duration
Lecture 4 Left and right curves 00:07:03 Duration
Lecture 5 Sketching the area between curves 00:10:43 Duration
Lecture 6 Dividing the area between curves into equal p 00:11:43 Duration
Lecture 7 BONUS! Extra practice problems

Section 17 : Applications of Integrals - Arc length
Lecture 1 Introduction to arc length
Lecture 2 Arc length
Lecture 3 Arc length of a curve in the form y=f(x) 00:07:42 Duration
Lecture 4 Arc length of a curve in the form x=g(y) 00:11:09 Duration
Lecture 5 Arc length using simpson's rule 00:10:20 Duration
Lecture 6 BONUS! Extra practice problems

Section 18 : Applications of Integrals - Average value
Lecture 1 Introduction to average value
Lecture 2 Average value
Lecture 3 Average value 00:06:00 Duration
Lecture 4 Mean value theorem for integrals
Lecture 5 Mean value theorem for integrals 00:03:58 Duration
Lecture 6 BONUS! Extra practice problems

Section 19 : Applications of Integrals - Surface area of revolution
Lecture 1 Introduction to surface area of revolution
Lecture 2 Surface area of revolution
Lecture 3 Surface area of revolution 00:09:35 Duration
Lecture 4 Surface area of revolution using simpson's 00:11:45 Duration
Lecture 5 Surface of revolution equation 00:05:09 Duration
Lecture 6 BONUS! Extra practice problems

Section 20 : Applications of Integrals - Volume of revolution
Lecture 1 Introduction to volume of revolution
Lecture 2 Volume of revolution, major axes of revolutio
Lecture 3 Disks
Lecture 4 Disks, horizontal axis 00:08:46 Duration
Lecture 5 Disks, vertical axis 00:09:47 Duration
Lecture 6 Disks, vertical axis, example 2 00:06:25 Duration
Lecture 7 Disks, volume of the frustum 00:17:18 Duration
Lecture 8 Washers
Lecture 9 Washers, horizontal axis 00:10:53 Duration
Lecture 10 Washers, horizontal axis, example 2. 00:08:02 Duration
Lecture 11 Washers, vertical axis 00:10:20 Duration
Lecture 12 Cylindrical shells
Lecture 13 Cylindrical shells, horizontal axis 00:11:07 Duration
Lecture 14 Cylindrical shells, vertical axis 00:13:25 Duration
Lecture 15 Cylindrical shells, vertical axis, example 2 00:10:48 Duration
Lecture 16 BONUS! Extra practice problems.

Section 21 : Applications of Integrals - Work
Lecture 1 Introduction to work
Lecture 2 Work done to lift a mass or weight
Lecture 3 Work done to lift a mass or weight 00:07:40 Duration
Lecture 4 Work done on elastic springs
Lecture 5 Work done on elastic springs 00:08:16 Duration
Lecture 6 Work done to empty a tank
Lecture 7 Work done to empty a tank 00:18:30 Duration
Lecture 8 Work done by a variable force
Lecture 9 Work done by a variable force 00:04:09 Duration
Lecture 10 BONUS! Extra practice problems.

Section 22 : Applications of Integrals - Physics
Lecture 1 Introduction to physics
Lecture 2 Moments and center of mass of the system
Lecture 3 Moments of the system 00:04:25 Duration
Lecture 4 Moments of the system, x-axis 00:02:55 Duration
Lecture 5 Center of mass of the system 00:02:25 Duration
Lecture 6 Center of mass of the system, x-axis 00:03:16 Duration
Lecture 7 Hydrostatic pressure and force
Lecture 8 Hydrostatic pressure 00:04:57 Duration
Lecture 9 Hydrostatic force 00:10:19 Duration
Lecture 10 Vertical motion
Lecture 11 Vertical motion 00:09:50 Duration
Lecture 12 Rectilinear motion
Lecture 13 Rectilinear motion 00:05:39 Duration
Lecture 14 BONUS! Extra practice problems

Section 23 : Applications of Integrals - Geometry
Lecture 1 Introduction to geometry
Lecture 2 Centroids of plane regions
Lecture 3 Centroids of plane regions 00:08:39 Duration
Lecture 4 Centroids of plane regions using simpson's 00:13:26 Duration
Lecture 5 Area of the triangle with the given vertices. 00:11:36 Duration
Lecture 6 BONUS! Extra practice problems.

Section 24 : Applications of Integrals - Economics
Lecture 1 Introduction to economics
Lecture 2 Present and future value
Lecture 3 Single deposit, compounded n times, future 00:04:41 Duration
Lecture 4 Single deposit, compounded n times, present 00:10:39 Duration
Lecture 5 Single deposit, compounded continuously, 00:02:19 Duration
Lecture 6 Single deposit, compounded continuously,
Lecture 7 Income stream, compounded continuously, 00:06:17 Duration
Lecture 8 Income stream, compounded continuously, 00:03:37 Duration
Lecture 9 Consumer and producer surplus
Lecture 10 Consumer and producer surplus 00:07:11 Duration
Lecture 11 BONUS! Extra practice problems

Section 25 : Applications of Integrals - Probability
Lecture 1 Introduction to probability
Lecture 2 Probability density
Lecture 3 Probability density 00:06:46 Duration
Lecture 4 BONUS! Extra practice problems.

Section 26 : Applications of Integrals - Biology
Lecture 1 Introduction to biology
Lecture 2 Cardiac output 00:08:29 Duration
Lecture 3 Cardiac output using simpson's rule 00:07:51 Duration
Lecture 4 Poiseuille's law 00:02:26 Duration
Lecture 5 Theorem of pappus
Lecture 6 Theorem of pappus 00:12:24 Duration
Lecture 7 BONUS! Extra practice problems

Section 27 : Polar & Parametric - Parametric curves
Lecture 1 Introduction to parametric curves
Lecture 2 Eliminating the parameter
Lecture 3 Eliminating the parameter 00:07:07 Duration
Lecture 4 Derivative of a parametric curve
Lecture 5 Derivative of a parametric curve 00:02:59 Duration
Lecture 6 Second derivative of a parametric curve
Lecture 7 Second derivative of a parametric curve 00:03:53 Duration
Lecture 8 Sketching parametric curves by plotting point
Lecture 9 Sketching parametric curves by plotting point
Lecture 10 BONUS! Extra practice problems

Section 28 : Polar & Parametric - Calculus with parametric curves
Lecture 1 Introduction to calculus with parametric curv
Lecture 2 Tangent line to the parametric curve
Lecture 3 Tangent line to the parametric curve 00:06:56 Duration
Lecture 4 Area under a parametric curve
Lecture 5 Area under a parametric curve 00:14:38 Duration
Lecture 6 Area under one arc or loop of a parametric cu
Lecture 7 Area under one arc or loop of a parametric cu 00:06:53 Duration
Lecture 8 Arc length of a parametric curve
Lecture 9 Arc length of a parametric curve 00:16:22 Duration
Lecture 10 Arc length, particle motion 00:15:46 Duration
Lecture 11 Arc length, simpson's rule 00:09:22 Duration
Lecture 12 Surface area of revolution of a parametric cu
Lecture 13 Surface area of revolution of a parametric 00:08:06 Duration
Lecture 14 Surface area of revolution of a parametric cu
Lecture 15 Surface area of revolution of a parametric 00:12:18 Duration
Lecture 16 Volume of revolution of a parametric curve
Lecture 17 Volume of revolution of a parametric curve 00:08:42 Duration
Lecture 18 Extra practice problems.

Section 29 : Polar & Parametric - Polar curves
Lecture 1 Introduction to polar curves
Lecture 2 Converting to polar coordinates
Lecture 3 Converting to polar coordinates 00:04:36 Duration
Lecture 4 Converting rectangular equations
Lecture 5 Converting rectangular equations 00:03:39 Duration
Lecture 6 Converting polar equations
Lecture 7 Converting polar equations 00:02:57 Duration
Lecture 8 Distance between polar points
Lecture 9 Distance between polar points 00:08:57 Duration
Lecture 10 Sketching polar curves
Lecture 11 Sketching polar curves 00:10:41 Duration
Lecture 12 Sketching polar curves from cartesian curves. 00:06:11 Duration
Lecture 13 BONUS! Extra practice problems.

Section 30 : Polar & Parametric - Calculus with polar curves
Lecture 1 Introduction to calculus with polar curves
Lecture 2 Tangent line to the polar curve
Lecture 3 Tangent line to the polar curve 00:09:48 Duration
Lecture 4 Vertical and horizontal tangent lines to the
Lecture 5 Vertical and horizontal tangent lines to the 00:10:21 Duration
Lecture 6 Intersection of polar curves
Lecture 7 Intersection of polar curves 00:12:57 Duration
Lecture 8 Area inside a polar curve
Lecture 9 Area inside a polar curve 00:06:07 Duration
Lecture 10 Area bounded by one loop of a polar curve
Lecture 11 Area bounded by one loop of a polar curve 00:12:26 Duration
Lecture 12 Area between polar curves
Lecture 13 Area between polar curves 00:14:21 Duration
Lecture 14 Area inside both polar curves
Lecture 15 Area inside both polar curves 00:12:35 Duration
Lecture 16 Arc length of a polar curve
Lecture 17 Arc length of a polar curve 00:07:29 Duration
Lecture 18 Arc length of a polar curve, example 2 00:06:43 Duration
Lecture 19 Surface area of revolution of a polar curve
Lecture 20 Surface area of revolution of a polar curve 00:07:13 Duration
Lecture 21 BONUS! Extra practice problems.

Section 31 : Sequences & Series - Sequences
Lecture 1 Introduction to sequences
Lecture 2 Sequences vs. series
Lecture 3 Listing the first terms 00:02:52 Duration
Lecture 4 Calculating the first terms 00:03:36 Duration
Lecture 5 Formula for the general term
Lecture 6 Formula for the general term 00:06:27 Duration
Lecture 7 Convergence of a sequence
Lecture 8 Convergence of a sequence 00:07:46 Duration
Lecture 9 Limit of a convergent sequence
Lecture 10 Limit of a convergent sequence 00:05:03 Duration
Lecture 11 Increasing, decreasing, and not monotonic
Lecture 12 Increasing, decreasing, and not monotonic 00:11:33 Duration
Lecture 13 Bounded sequences
Lecture 14 Bounded sequences 00:12:12 Duration
Lecture 15 BONUS! Extra practice problems.

Section 32 : Sequences & Series - Partial sums
Lecture 1 Introduction to partial sums
Lecture 2 Calculating the first terms of a sequence of 00:05:01 Duration
Lecture 3 Sum of the sequence of partial sums
Lecture 4 Sum of the sequence of partial sums 00:04:42 Duration
Lecture 5 BONUS! Extra practice problems.

Section 33 : Sequences & Series - Geometric series
Lecture 1 Introduction to geometric series
Lecture 2 Geometric series test
Lecture 3 Geometric series test 00:11:39 Duration
Lecture 4 Sum of the geometric series
Lecture 5 Sum of the geometric series 00:10:15 Duration
Lecture 6 Values for which the series converges 00:05:52 Duration
Lecture 7 Geometric series for repeating decimals
Lecture 8 Geometric series for repeating decimals 00:08:38 Duration
Lecture 9 BONUS! Extra practice problems.

Section 34 : Sequences & Series - Telescoping series
Lecture 1 Introduction to telescoping series
Lecture 2 Convergence of a telescoping series
Lecture 3 Convergence of a telescoping series 00:06:49 Duration
Lecture 4 Sum of a telescoping series
Lecture 5 Sum of a telescoping series 00:09:00 Duration
Lecture 6 BONUS! Extra practice problems

Section 35 : Sequences & Series - Basic convergence tests
Lecture 1 Introduction to basic convergence tests
Lecture 2 Recognizing types of series
Lecture 3 Limit vs. sum of the series
Lecture 4 Limit vs. sum of the series 00:05:05 Duration
Lecture 5 Integral test
Lecture 6 Integral test 00:11:15 Duration
Lecture 7 p-series test
Lecture 8 p-series test 00:03:02 Duration
Lecture 9 nth term test
Lecture 10 nth term test 00:08:53 Duration
Lecture 11 BONUS! Extra practice problems

Section 36 : Sequences & Series - Comparison tests
Lecture 1 Introduction to comparison tests
Lecture 2 Comparison test
Lecture 3 Comparison test 00:10:33 Duration
Lecture 4 Limit comparison test
Lecture 5 Limit comparison test 00:05:55 Duration
Lecture 6 Error or remainder of a series
Lecture 7 Error or remainder of a series 00:11:57 Duration
Lecture 8 BONUS! Extra practice problems.

Section 37 : Sequences & Series - Ratio and root tests
Lecture 1 Introduction to ratio and root tests
Lecture 2 Ratio test
Lecture 3 Ratio test 00:08:32 Duration
Lecture 4 Ratio test with factorials 00:10:55 Duration
Lecture 5 Root test
Lecture 6 Root test 00:04:30 Duration
Lecture 7 Absolute and conditional convergence
Lecture 8 Absolute and conditional convergence 00:13:44 Duration
Lecture 9 BONUS! Extra practice problems.

Section 38 : Sequences & Series - Alternating series test
Lecture 1 Introduction to alternating series test
Lecture 2 Alternating series test
Lecture 3 Alternating series test 00:13:37 Duration
Lecture 4 Alternating series estimation theorem
Lecture 5 Alternating series estimation theorem 00:13:06 Duration
Lecture 6 BONUS! Extra practice problems.

Section 39 : Sequences & Series - Power series
Lecture 1 Introduction to power series
Lecture 2 Power series representation
Lecture 3 Power series representation 00:19:55 Duration
Lecture 4 Power series multiplication
Lecture 5 Power series multiplication 00:06:52 Duration
Lecture 6 Power series division
Lecture 7 Power series division 00:05:14 Duration
Lecture 8 Power series differentiation
Lecture 9 Power series differentiation 00:16:32 Duration
Lecture 10 Radius and interval of convergence
Lecture 11 Radius of convergence 00:09:30 Duration
Lecture 12 Interval of convergence 00:16:36 Duration
Lecture 13 Estimating definite integrals
Lecture 14 Estimating definite integrals 00:11:16 Duration
Lecture 15 Estimating indefinite integrals
Lecture 16 Estimating indefinite integrals 00:12:03 Duration
Lecture 17 Binomial series
Lecture 18 Binomial series 00:27:20 Duration
Lecture 19 BONUS! Extra practice problems.

Section 40 : Sequences & Series - Taylor series
Lecture 1 Introduction to Taylor series
Lecture 2 Taylor series
Lecture 3 Taylor series 00:08:00 Duration
Lecture 4 Radius and interval of convergence of a Taylor ser
Lecture 5 Radius and interval of convergence of a Taylo 00:20:44 Duration
Lecture 6 Taylor's inequality
Lecture 7 Taylor's inequality 00:12:06 Duration
Lecture 8 BONUS! Extra practice problems.

Section 41 : Sequences & Series - Maclaurin series
Lecture 1 Introduction to Maclaurin series
Lecture 2 Maclaurin series
Lecture 3 Maclaurin series.mp4 00:09:00 Duration
Lecture 4 Sum of the Maclaurin series
Lecture 5 Sum of the Maclaurin series.mp4 00:06:08 Duration
Lecture 6 Radius and interval of convergence of a Maclaurin
Lecture 7 Radius and interval of convergence of a Maclaurin 00:09:34 Duration
Lecture 8 Indefinite integral as an infinite series.mp4 00:08:01 Duration
Lecture 9 Maclaurin series to estimate an indefinite integra 00:09:39 Duration
Lecture 10 Maclaurin series to estimate a definite integral.m 00:07:18 Duration
Lecture 11 Maclaurin series to evaluate a limit.mp4 00:05:39 Duration
Lecture 12 BONUS! Extra practice problems.

Section 42 : inal exam and wrap-up
Lecture 1 Practice final exam #1
Lecture 2 Practice final exam #2
Lecture 3 Calculus 2 final exam
Lecture 4 Wrap-up 00:00:25 Duration