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.
36 Lectures
1

Basic Functions of Calculus and Limits
0 of 32 min
2

Differentiation Warm-up
0 of 30 min
3

Integration Warm-up
0 of 30 min
4

Differential Equations—Growth and Decay
0 of 31 min
5

Applications of Differential Equations
0 of 30 min
6

Linear Differential Equations
0 of 30 min
7

Areas and Volumes
0 of 30 min
8

Arc Length, Surface Area, and Work
0 of 29 min
9

Moments, Centers of Mass, and Centroids
0 of 30 min
10

Integration by Parts
0 of 30 min
11

Trigonometric Integrals
0 of 31 min
12

Integration by Trigonometric Substitution
0 of 31 min
13

Integration by Partial Fractions
0 of 31 min
14

Indeterminate Forms and L'HĂ´pital's Rule
0 of 31 min
15

Improper Integrals
0 of 31 min
16

Sequences and Limits
0 of 30 min
17

Infinite Series—Geometric Series
0 of 31 min
18

Series, Divergence, and the Cantor Set
0 of 32 min
19

Integral Test—Harmonic Series, p-Series
0 of 30 min
20

The Comparison Tests
0 of 31 min
21

Alternating Series
0 of 31 min
22

The Ratio and Root Tests
0 of 31 min
23

Taylor Polynomials and Approximations
0 of 31 min
24

Power Series and Intervals of Convergence
0 of 30 min
25

Representation of Functions by Power Series
0 of 30 min
26

Taylor and Maclaurin Series
0 of 32 min
27

Parabolas, Ellipses, and Hyperbolas
0 of 29 min
28

Parametric Equations and the Cycloid
0 of 30 min
29

Polar Coordinates and the Cardioid
0 of 30 min
30

Area and Arc Length in Polar Coordinates
0 of 32 min
31

Vectors in the Plane
0 of 30 min
32

The Dot Product of Two Vectors
0 of 31 min
33

Vector-Valued Functions
0 of 30 min
34

Velocity and Acceleration
0 of 30 min
35

Acceleration's Tangent and Normal Vectors
0 of 30 min
36

Curvature and the Maximum Bend of a Curve
0 of 31 min
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