Calculus Made Simple
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
0.11 Domain and Range
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 Hyperbolic Functions
3 Applications of Derivatives
3.01 Linear Approximation
3.02 Position Function
3.03 Vertical Motion (Differentiation)
3.05 Mean Value Theorem
4 Integrals
4.01 Area Under the Curve
4.02 Riemann Sums
4.03 Summation Notation
4.04 Definite Integrals
4.05 Fundamental Theorem
5 Integrals Continued
6 Techniques of Integration
7 Applications of Integration
8 Differential Equations
9 Polar Coordinates, Parametric Curves
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
12.04 Directional Derivatives
12.05 Gradient Vectors
12.06 Gradient Vectors: Tangent Plane
12.07 Lagrange Multipliers
12.08 Second-Order Partial Derivatives
12.09 Global Extrema
12.10 Second Derivative Test
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
