A guide covering Calculus including the Formulas, Equations and Theorems that will help you a better understand practical applications of Calulus.
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- Velocity and Distance
- Calculus Without Limits
- The Velocity at an Instant
- Circular Motion
- Trigonometry Review
- Thousand Points of Light
- Computing in Calculus
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- The Derivative of a Function
- Powers and Polynomials
- The Slope and the Tangent Line
- Derivative of the Sine and Cosine
- Product and Quotient and Power Rules
- Limits
- Continuous Functions
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Applications of the Derivative
- Linear Approximation
- Maximum and Minimum Problems
- Second Derivatives: Minimum vs. Maximum
- Graphs
- Ellipses, Parabolas, and Hyperbolas
- Iterations x,+ ,= F(x,)
- Newton's Method and Chaos
- Mean Value Theorem and L 'Hôpital's Rule
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- Derivatives by the Charin Rule
- Implicit Differentiation and Related Rates
- Inverse Functions and Their Derivatives
- Inverses of Trigonometric Functions
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- What is an Integral
- Antiderivatives
- Summation vs. Integration
- Indefinite Integrals and Substitutions
- The Definite Integral
- Properties of the Integral and the Average Value
- The Fundamental Theorem and Its Consequences
- Numerical Integration
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- The Exponential e^x
- Growth and Decay in Science and Economics
- Logarithms
- Separable Equations Including the Logistic Equation
- Powers Instead of Exponentials
- Hyperbolic Functions
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- Integration by Parts
- Trigonometric Integrals
- Trigonometric Substitutions
- Partial Fractions
- Improper Integrals
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- Areas and Volumes by Slices
- Length of a Plane Curve
- Area of a Surface of Revolution
- Probability and Calculus
- Masses and Moments
- Force, Work, and Energy
- Polar Coordinates
- Polar Equations and Graphs
- Slope, Length, and Area for Polar Curves
- Complex Numbers
- The Geometric Series
- Convergence Tests: Positive Series
- Convergence Tests: All Series
- The Taylor Series for e^x, sin x, and cos x
- Power Series
- Vectors and Dot Products
- Planes and Projections
- Cross Products and Determinants
- Matrices and Linear Equations
- Linear Algebra in Three Dimensions
- The Position Vector
- Plane Motion: Projectiles and Cycloids
- Tangent Vector and Normal Vector
- Polar Coordinates and Planetary Motion
- Surface and Level Curves
- Partial Derivatives
- Tangent Planes and Linear Approximations
- Directional Derivatives and Gradients
- The Chain Rule
- Maxima, Minima, and Saddle Points
- Constraints and Lagrange Multipliers
- Double Integrals
- Changing to Better Coordinates
- Triple Integrals
- Cylindrical and Spherical Coordinates
- Vector Fields
- Line Integrals
- Green's Theorem
- Surface Integrals
- The Divergence Theorem
- Stokes' Theorem and the Curl of F
Calulus is the mathematical study of continuous change where there is two major branches, Differential calculus and Integral calculus.
Wolfram Course Assistant Apps: Calculus Step-by-Step
Wolfram Course Assistant Apps: multivariable Step-by-Step
Differential Calculus | Khan Academy
Top Calculus Courses Online | Coursera
Introduction to Calculus | Coursera
Mathematics for Machine Learning: Multivariate Calculus | Coursera
Calculus - Mathematics for Data Science - Machine Learning
Calculus and Optimization for Machine Learning Course | Coursera
Learn Calculus 1 and Become a Calculus Master Course | Udemy
Become a Calculus 2 Master Course | Udemy
Become a Calculus 3 Master Course | Udemy
Calculus 3 (multivariable calculus) | Udemy
Learn Calculus with Online Courses | edX
Online Calculus Courses | Harvard University
Calculus 1 | Harvard University - Harvard Online Courses
Mathematics | MIT OpenCourseWare | Free Online Courses
Single Variable Calculus | Mathematics | MIT OpenCourseWare
The Organic Chemistry Tutor - Calculus Video Playlist | YouTube
Calculus I - Pauls Online Math Notes
Calculus II - Pauls Online Math Notes
Calculus III - Pauls Online Math Notes
Distance and Velocity Formulas.
Derivative Rules. Source: onlinemathlearning
Derivatives and Limits. Source: EEWeb
Chain Rule. Source: onlinemathlearning
Properties of Integrals & Integration Rules. Source: OSU.edu
Fund. Theorem of Calulus, Riemann Sums, and Net Change. Source: OSU.edu
Exponents and Logarithms. Source: onlinemathlearning
Techniques of Integration. Source: OSU.edu
Techniques of Integration Part 2. Source: OSU.edu
Surface Area of Revolution of Parametric Equations. Source: YouTube
Areas and Volumes. Source: OSU.edu
Physical Applications. Source: OSU.edu
Polar Coordinates - Rectangular. Source: getcalc
Area in Polar Coordinates. Source: Calcworkshop
Geometric Series. Source: onlinemathlearning
Taylor and MacLaurin Series. Source: onlinemathlearning
Power Series. Source: onlinemathlearning
Scalar, Vector, Matrix. Source: mathisfun
Position Vectors. Source YouTube
Chain Rule With Partial Derivatives. Source: YouTube
Double Integrals. Source: YouTube
Triple Integrals. Source: YouTube
Cylindrical and Spherical Coordinates.
Vector Calculus Forumlas. Source: vectorified
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