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Understanding Calculus II: Problems, Solutions, and Tips

Continue down the road to mastering calculus with this step-by-step guide to Calculus II, taught by an award-winning Professor of Mathematics.

Watch First Lecture

Basic Functions of Calculus and Limits
1 Basic Functions of Calculus and Limits - 32 min
Learn what distinguishes Calculus II from Calculus I. Then embark on a three-lecture review, beginning with the top 10 student pitfalls from precalculus. Next, Professor Edwards gives a refresher on basic functions and their graphs, which are essential tools for solving calculus problems.

36 Lectures

1
Image of Basic Functions of Calculus and Limits
Basic Functions of Calculus and Limits
0 of 32 min
2
Image of Differentiation Warm-up
Differentiation Warm-up
0 of 30 min
3
Image of Integration Warm-up
Integration Warm-up
0 of 30 min
4
Image of Differential Equations—Growth and Decay
Differential Equations—Growth and Decay
0 of 31 min
5
Image of Applications of Differential Equations
Applications of Differential Equations
0 of 30 min
6
Image of Linear Differential Equations
Linear Differential Equations
0 of 30 min
7
Image of Areas and Volumes
Areas and Volumes
0 of 30 min
8
Image of Arc Length, Surface Area, and Work
Arc Length, Surface Area, and Work
0 of 29 min
9
Image of Moments, Centers of Mass, and Centroids
Moments, Centers of Mass, and Centroids
0 of 30 min
10
Image of Integration by Parts
Integration by Parts
0 of 30 min
11
Image of Trigonometric Integrals
Trigonometric Integrals
0 of 31 min
12
Image of Integration by Trigonometric Substitution
Integration by Trigonometric Substitution
0 of 31 min
13
Image of Integration by Partial Fractions
Integration by Partial Fractions
0 of 31 min
14
Image of Indeterminate Forms and L'Hôpital's Rule
Indeterminate Forms and L'Hôpital's Rule
0 of 31 min
15
Image of Improper Integrals
Improper Integrals
0 of 31 min
16
Image of Sequences and Limits
Sequences and Limits
0 of 30 min
17
Image of Infinite Series—Geometric Series
Infinite Series—Geometric Series
0 of 31 min
18
Image of Series, Divergence, and the Cantor Set
Series, Divergence, and the Cantor Set
0 of 32 min
19
Image of Integral Test—Harmonic Series, p-Series
Integral Test—Harmonic Series, p-Series
0 of 30 min
20
Image of The Comparison Tests
The Comparison Tests
0 of 31 min
21
Image of Alternating Series
Alternating Series
0 of 31 min
22
Image of The Ratio and Root Tests
The Ratio and Root Tests
0 of 31 min
23
Image of Taylor Polynomials and Approximations
Taylor Polynomials and Approximations
0 of 31 min
24
Image of Power Series and Intervals of Convergence
Power Series and Intervals of Convergence
0 of 30 min
25
Image of Representation of Functions by Power Series
Representation of Functions by Power Series
0 of 30 min
26
Image of Taylor and Maclaurin Series
Taylor and Maclaurin Series
0 of 32 min
27
Image of Parabolas, Ellipses, and Hyperbolas
Parabolas, Ellipses, and Hyperbolas
0 of 29 min
28
Image of Parametric Equations and the Cycloid
Parametric Equations and the Cycloid
0 of 30 min
29
Image of Polar Coordinates and the Cardioid
Polar Coordinates and the Cardioid
0 of 30 min
30
Image of Area and Arc Length in Polar Coordinates
Area and Arc Length in Polar Coordinates
0 of 32 min
31
Image of Vectors in the Plane
Vectors in the Plane
0 of 30 min
32
Image of The Dot Product of Two Vectors
The Dot Product of Two Vectors
0 of 31 min
33
Image of Vector-Valued Functions
Vector-Valued Functions
0 of 30 min
34
Image of Velocity and Acceleration
Velocity and Acceleration
0 of 30 min
35
Image of Acceleration's Tangent and Normal Vectors
Acceleration's Tangent and Normal Vectors
0 of 30 min
36
Image of Curvature and the Maximum Bend of a Curve
Curvature and the Maximum Bend of a Curve
0 of 31 min

Reviews

m********m
October 21, 2017

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c********m
June 22, 2017

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J********m
July 21, 2014
Prof. Edwards is excellent, I bought the whole calculus series and I'll probably buy any other courses that he makes. The practice problems within the lectures and in the workbook are very good and he's a pro at explaining difficult concepts. I hope to see the rigorous college-level math courses continue, I'd vote for Real Analysis and Linear Algebra.

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