Calculus MASTER, Zero To Mastery
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.
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PreCalc 1.1 Exponents
PreCalc 1.2 Radicals
Quadratic Expressions and Equations
Complete the Square
Solving Linear Formulas
Absolute Value Equations and Inequalities
Functions and Graphs
Algebra of Functions
Applications of Functions
Reading Graphs of Functions
Transformations of Graphs
Transformation of Basic Functions
Graphs of Key Functions
Graphs of Polynomials
Rational Root Theorem
Graphs of Reciprocal Functions
Graphs of Rational Functions
Exponents and Logarithms
Exponential Equations with a Common Base
Properties of Logs
Solving Exponential Equations by using Logs
Solving Log Equations
Applications of Exponents and Logs
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.
Calsulus I, Limits.
A Preview of Calculus
The Limit of a Function
The Limit Laws
The Precise Definition of a Limit
Calculus I, Derivatives
Defining the Derivative
The Derivative as a Function
Derivatives as Rates of Change
Derivatives of Trigonometric Functions
The Chain Rule
Derivatives of Inverse Functions
Derivatives of Exponential and Logarithmic Functions
Calculus I, Applications of Derivatives
Linear Approximations and Differentials
Maxima and Minima
The Mean Value Theorem
Derivatives and the Shape of a Graph
Limits at Infinity and Asymptotes
Applied Optimization Problems
Calculus I, Sources
Calculus II, Antiderivatives and Integration
The Definite Integral
The Fundamental Theorem of Calculus EXPORT
Integration Formulas and the Net Change Theorem
Integrals Involving Exponential and Logarithmic Functions
Integrals Resulting in Inverse Trigonometric Functions
Calculus II, Applications of Integration
Area between Curves
Determining Volumes by Slicing
Volumes of Revolution Cylindrical ShellS
Arc Length of a Curve and Surface Area
Moments and Centers of MasS
Integrals, Exponential Functions, and Logarithms
Exponential Growth and Decay
Calculus II, Advanced Integration Techniques
Integration by Parts
Other Strategies for Integration
Calculus II, SOURCES
Calculus III, Sequences and Series
The Divergence and Integral Tests
Ratio and Root Tests