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Calculus course | Rahibit
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Calculus
Calculus for machine learning
1
Prerequisites
(Before starting Calculus)
Algebra
Numbers & Basic Operations
Learn
Polynomials and Factoring
Exponents and Radicals
Logarithms and Exponential Functions
Solving Equations and Inequalities
Functions and Their Properties
Graphing Functions
Transformations of Functions
Inverse Functions
Trigonometry
Angles and the Unit Circle
Trigonometric Functions and Their Graphs
Trigonometric Identities and Equations
Inverse Trigonometric Functions
Law of Sines & Law of Cosines
Polar Coordinates and Graphing
Pre-Calculus
Limits and Intuitive Understanding
Continuity and Discontinuity
Sequences and Series Basics
Parametric Equations
Conic Sections and Their Graphs
2
Calculus 1
(Differential Calculus)
Limits & Continuity
Introduction to Limits (Concept & Intuition)
Evaluating Limits Algebraically
One-Sided Limits
Limits at Infinity & Asymptotes
Epsilon-Delta Definition of Limits
Continuity and Discontinuous Functions
Derivatives & Differentiation
Definition of the Derivative (Limit Definition)
Basic Differentiation Rules (Power, Sum, Difference)
Product and Quotient Rules
Chain Rule
Implicit Differentiation
Higher-Order Derivatives
Derivatives of Trigonometric Functions
Derivatives of Exponential and Logarithmic Functions
Derivatives of Inverse Functions
Applications of Derivatives
Tangent and Normal Lines
Critical Points & Finding Extrema
Increasing & Decreasing Functions (First Derivative Test)
3
Calculus 2
(Integral Calculus)
Definite & Indefinite Integrals
Applications of Integration
Improper Integrals
4
Calculus 3
(Multivariable Calculus)
Functions of Several Variables
Multiple Integrals
Vector Calculus
5
Advanced Calculus
(Real Analysis & Differential Equations)
Real Analysis Foundations
Ordinary Differential Equations (ODEs)
Partial Differential Equations (PDEs)
Advanced Topics
38
Lessons
5
Hours
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