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Calculus MASTER, Zero To Mastery

Being CALCULUS MASTER. Zero To Mastery. From PreCALCULUS to CALCULUS III
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Data Science ACADEMY
6,812 students enrolled
English [Auto]
Calculus
Advanced Calculus
Integrals
Dervatives
College Algebra
Functions and Graphs
Graphs of Key Functions
Exponents and Logarithms
Limits
Applications of Derivatives
Antiderivatives and Integration
Applications of Integration
Advanced Integration Techniques
Sequences and Series
Parametric and Polar Coordinates
Vectors
Vector-Valued Functions
Pre Calculus
Calculus I
Calculus II
Calculus III

Calculus MASTER, Zero To Mastery

Being CALCULUS MASTER. Zero To Mastery. From PreCALCULUS to CALCULUS III

  • Pre CALCULUS, CALCULUS I, CALCULUS II,CALCULUS III

Calculus is the branch of mathematics that deals with the finding and properties of derivatives and integrals of functions, by methods originally based on the summation of infinitesimal differences. The two main types are differential calculus and integral calculus.

Calculus is a branch of mathematics that involves the study of rates of change. Before calculus was invented, all math was static: It could only help calculate objects that were perfectly still. But the universe is constantly moving and changing. No objects—from the stars in space to subatomic particles or cells in the body—are always at rest. Indeed, just about everything in the universe is constantly moving. Calculus helped to determine how particles, stars, and matter actually move and change in real time.

Calculus is used in a multitude of fields that you wouldn’t ordinarily think would make use of its concepts. Among them are physics, engineering, economics, statistics, and medicine. Calculus is also used in such disparate areas as space travel, as well as determining how medications interact with the body, and even how to build safer structures. You’ll understand why calculus is useful in so many areas if you know a bit about its history as well as what it is designed to do and measure.

  • PreCalculus, This course will present the following concepts: non-linear inequalities, matrices and determinants, polynomial and rational functions, conic sections, theory of equations, sequences and series, mathematical induction.

  • Calculus I, This course will introduce the student to the basic concepts of the calculus.  It will give the student an appreciation of the calculus and its applications in the real world and will prepare the student for future work in mathematics and the sciences.  Course includes functions, limits, continuity, derivatives and their applications, and integration and its applications.

  • Calculus II, This course will expand on the applications and techniques of differentiation learned in the first quarter and give a depth study of integration including the fundamental methods of integrating elementary algebraic and transcendental functions. It will include the applications of the calculus to transcendental functions, analytical geometry and other relevant topics.

  • Calculus III, This course will expand on the applications and techniques of differentiation learned in the first and second quarters. It will introduce the student to the calculus of sequences and series and the use of the MacLaurin and Taylor series to approximate functions. It will introduce the student to the calculus of curvilinear functions and the concept of the vector and vector functions. It will also introduce the concept of a partial derivative and the maximization of functions given in more than one independent variable.

You will zero to mystery about CALCULUS.

Calculus MASTER

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Let's START Learning...

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HOT PROMOTION - Machine Learning MASTER, Zero To Mastery

Hot Promotion. Machine Learning MASTER, Zero To Mastery

PRE CALCULUS

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College Algebra

College Algebra

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01. PreCalc 1.1 Exponents

PreCalc 1.1 Exponents

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02. PreCalc 1.2 Radicals

PreCalc 1.2 Radicals

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03. 1.3 Quadratic Expressions and Equations

Quadratic Expressions and Equations

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04. 1.4 Rational Expressions

Rational Expressions

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05. 1.5 Complex Numbers

Complex Numbers

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06. 1.6 Complete the Square

Complete the Square

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07. 1.7 Solving Linear Formulas

Solving Linear Formulas

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08. 1.8 Absolute Value Equations and Inequalities

Absolute Value Equations and Inequalities

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Functions and Graphs

Functions and Graphs

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09. 2.1 Functions

Functions

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10. 2.2 Algebra of Functions

Algebra of Functions

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11. 2.3 Inverse Functions

Inverse Functions

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12. 2.4 Applications of Functions

Applications of Functions

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13. 2.5 Reading Graphs of Functions

Reading Graphs of Functions

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14. 2.6 Transformations of Graphs

Transformations of Graphs

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15. 2.7 Transformation of Basic Functions

Transformation of Basic Functions

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Graphs of Key Functions

Graphs of Key Functions

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16. 3.1 Graphs of Polynomials

Graphs of Polynomials

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17. 3.2 Synthetic Division

Synthetic Division

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18. 3.3 Rational Root Theorem

Rational Root Theorem

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19. 3.4 Graphs of Reciprocal Functions

Graphs of Reciprocal Functions

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20. 3.5 Graphs of Rational Functions

Graphs of Rational Functions

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Exponents and Logarithms

Exponents and Logarithms

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21. 4.1 Exponential Equations with a Common Base

Exponential Equations with a Common Base

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22. 4.2 Properties of Logs

Properties of Logs

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23. 4.3 Solving Exponential Equations by using Logs

Solving Exponential Equations by using Logs

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24. 4.4 Solving Log Equations

Solving Log Equations

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25. 4.5 Applications of Exponents and Logs

Applications of Exponents and Logs

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Pre CALCULUS SOURCES

This course will present the following concepts: non-linear inequalities, matrices and determinants, polynomial and rational functions, conic sections, theory of equations, sequences and series, mathematical induction.

CALCULUS I

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Limits

Calsulus I, Limits.

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2.1 A Preview of Calculus

A Preview of Calculus

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02. 2.2 The Limit of a Function

The Limit of a Function

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03. 2.3 The Limit Laws

The Limit Laws

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04. 2.4 Continuity

Continuity EXPORT

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05. 2.5 The Precise Definition of a Limit

The Precise Definition of a Limit

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Derivatives

Calculus I, Derivatives

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06. 3.1 Defining the Derivative

Defining the Derivative

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07. 3.2 The Derivative as a Function

The Derivative as a Function

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08. 3.3 Differentiation Rules

Differentiation Rules

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09. 3.4 Derivatives as Rates of Change

Derivatives as Rates of Change

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10. 3.5 Derivatives of Trigonometric Functions

Derivatives of Trigonometric Functions

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11. 3.6 The Chain Rule

The Chain Rule

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12. 3.7 Derivatives of Inverse Functions

Derivatives of Inverse Functions

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13. 3.8 Implicit Differentiation

Implicit Differentiation

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14. 3.9 Derivatives of Exponential and Logarithmic Functions

Derivatives of Exponential and Logarithmic Functions

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15. 3.10 Partial Derivatives

Partial Derivatives

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Applications of Derivatives

Calculus I, Applications of Derivatives

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16. 4.1 Related Rates

Related Rates

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17. 4.2 Linear Approximations and Differentials

Linear Approximations and Differentials

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18. 4.3 Maxima and Minima

Maxima and Minima

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19. 4.4 The Mean Value Theorem

The Mean Value Theorem

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20. 4.5 Derivatives and the Shape of a Graph

Derivatives and the Shape of a Graph

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21. 4.6 Limits at Infinity and Asymptotes

Limits at Infinity and Asymptotes

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22. 4.7 Applied Optimization Problems

Applied Optimization Problems

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23. 4.8 L'Hopital's Rule

L'Hopital's Rule

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24. 4.9 Newton's Method

Newton's Method

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25. 4.10 Antiderivatives

Antiderivatives

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SOURCES

Calculus I, Sources

CALCULUS II

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Antiderivatives and Integration

Calculus II, Antiderivatives and Integration

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01. 5.0 Derivative Review

Derivative Review

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02. 5.1 Approximating Areas

Approximating Areas

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03. 5.2 The Definite Integral

The Definite Integral

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04. 5.3 The Fundamental Theorem of Calculus

The Fundamental Theorem of Calculus EXPORT

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06. 5.4 Integration Formulas and the Net Change Theorem

Integration Formulas and the Net Change Theorem

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07. 5.5 Substitution

Substitution

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08. 5.6 Integrals Involving Exponential and Logarithmic Functions

Integrals Involving Exponential and Logarithmic Functions

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09. 5.7 Integrals Resulting in Inverse Trigonometric Functions

Integrals Resulting in Inverse Trigonometric Functions

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Applications of Integration

Calculus II, Applications of Integration

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10. 6.1 Area between Curves

Area between Curves

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11. 6.2 Determining Volumes by Slicing

Determining Volumes by Slicing

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12. 6.3 Volumes of Revolution Cylindrical Shells

Volumes of Revolution Cylindrical ShellS

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13. 6.4 Arc Length of a Curve and Surface Area

Arc Length of a Curve and Surface Area

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14. 6.5 Physical Applications

Physical Applications

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15. 6.6 Moments and Centers of Mass

Moments and Centers of MasS

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16. 6.7 Integrals, Exponential Functions, and Logarithms

Integrals, Exponential Functions, and Logarithms

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17. 6.8 Exponential Growth and Decay

Exponential Growth and Decay

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Advanced Integration Techniques

Calculus II, Advanced Integration Techniques

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18. 3.1 Integration by Parts

Integration by Parts

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19. 3.2 Trigonometric Integrals

Trigonometric Integrals

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20. 3.3 Trigonometric Substitution

Trigonometric Substitution

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21. 3.4 Partial Fractions

Partial Fractions

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22. 3.5 Other Strategies for Integration

Other Strategies for Integration

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23. 3.7 Improper Integrals

Improper Integrals

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24. 3.8 Double Integrals

Double Integrals

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Calculus II, SOURCES

Calculus II, SOURCES

CALCULUS III

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Sequences and Series

Calculus III, Sequences and Series

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Sequences

Sequences

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Infinite Series

Infinite Series

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The Divergence and Integral Tests

The Divergence and Integral Tests

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Comparison Tests

Comparison Tests

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Alternating Series
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Ratio and Root Tests

Ratio and Root Tests

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