Calculus Help
Video Tutorials. Step-by-Step Explanations.
0 Pre-Calculus
0.01 Vertical Line Test
0.02 Horizontal Line Test
0.03 Linear Functions
0.04 Quadratic Functions
0.05 Sketching Parabolas
0.06 Sketching Circles
0.08 Rational Functions
0.09 Inverse Functions
0.10 Hyperbolic Functions
0.11 Long Division of Polynomials
0.12 Domain and Range
0.13 Negative Exponents
0.14 Logarithms
0.15 Factorials
1 Foundations of Calculus
1.01 Normal Line
1.02 Least Squares Line
1.03 Limits
1.04 Trigonometric Limits
1.05 Infinite Limits
1.06 Squeeze Theorem
2 Derivatives
2.01 Definition of the Derivative
2.02 Basic Derivatives
2.03 Derivative of Linear Combination
2.04 Product Rule
2.05 Quotient Rule
2.06 Reciprocal Rule
2.07 Chain Rule
2.08 Equation of the Tangent Line
2.09 Exponential and Logarithmic
2.10 Laws of Logarithms
2.11 Trigonometric Derivatives
2.12 Inverse Trigonometric Functions
2.13 Hyperbolic Functions
2.14 Inverse Hyperbolic Functions
2.16 Related Rates
2.17 Newton’s Method
2.18 Rolle’s Theorem
2.19 Parametric Functions
3 Applications of Derivatives
3.10 Inflection Points & Concavity
3.11 Max and Min on a Closed Range
3.12 Marg. Cost, Revenue and Profit
3.13 Applied Optimization
3.14 Vertical Asymptotes
3.16 Slant Asymptotes
3.17 Sketching Graphs
3.18 L’Hopital’s Rule
4 Integrals
4.01 Area Under the Curve
4.02 Riemann Sums
4.03 Summation Notation
4.04 Definite Integrals
4.05 Fundamental Theorem
4.06 Indefinite Integrals
4.07 U-Substitution
5 Integrals Continued
6 Techniques of Integration
6.06 Partial Fractions
6.07 Improper Integrals
6.08 Hyperbolic Functions
7 Applications of Integration
8 Differential Equations
9 Polar Coordinates, Parametric Curves
9.01 Analytic Geometry
9.02 Polar Coordinates
9.03 Convert Rectangular Equations
9.06 Polar Area
9.07 Polar Area Bounded by One Loop
9.08 Area Between Polar Curves
9.09 Polar Arc Length
10 Infinite Series
10.01 Limit of a Series
10.02 nth Term of a Series
10.03 Sum of a Geometric Series
10.04 Sum of Telescoping Series
10.05 Interval of Convergence
10.06 Limit vs. Sum of the Series
10.07 Convergence Tests
10.08 Integral Test
10.09 Comparison Test
10.10 Limit Comparison Test
10.11 Ratio Test
10.12 Root Test
10.13 Alternating Series Test
10.14 Taylor Polynomials
10.15 Maclaurin Series
11 Vectors, Curves, Surfaces in Space
11.01 Vector From Two Points
11.02 Sum of Two Vectors
11.03 Cross Product
12 Partial Derivatives
12.01 Partial Derivatives
12.02 Equation of the Tangent Plane
12.03 Linear Approximation - Two Variables
12.04 Directional Derivatives
12.05 Gradient Vectors
13 Multiple Integrals
14 Vector Calculus
14.01 Green’s Theorem
14.02 Laplace Transforms
14.03 Inverse Laplace Transforms
14.04 Laplace Transforms and Initial Value Problems
14.05 Line Integrals
15 Second-Order Differential Equations
15.01 Second-Order Differential Equations
15.02 Second-Order Differential Equations Initial Value Problems
15.03 Second-Order Differential Equations Working Backwards
15.04 Second-Order Non-Homogeneous Differential Equations
15.05 Second-Order Non-Homogeneous Differential Equation Initial Value Problem
