This course contain all the lectures you need to “become a master of Calculus 1”.The course contain different sections and you are going to watch the video of me explaining it section by section. There will be a quiz at the end of every section
Here is the list of chapters that we will study in this course “Become a master of Calculus 1”:
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SECTION 1-PRE CALULUS(FUNCTIONS)
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SECTION 2-LIMIT
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SECTION 3-DERIVATIVES
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SECTION 4- APPLICATION OF DERIVATIVES
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SECTION 5- INTEGRAL
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SECTION 6- APPLICATION OF INTEGRAL
FUNCTIONS
This video is a preview and a simple explanation of the course designed to meet the requirement of the student to understand Calculus 1
In this lesson, you will learn how to determine if an equation is a function or not
you will be able to evaluate function at the end of this lesson
You will be able to find the root of any function at the end of this lecture
You will be able to understand the concept about Domain and Range of a function at the end of this lesson
you will be be able to determine the Domain and range of any function after this lesson
You will be able to determine the inverse of a function at the end of this lecture
you will get to familiarize with trigonometry function at the end of the lesson
At the end of this lesson,you will be able to understand how to write a unit circle without memorizing it.
you will be able to use unit circle to solve trigonometry functions at the end of this lesson
At the end of this lecture,you will be able to solve trigonometry equations.
you will be able to understand exponential function at the end of this lesson
you will be able to solve exponential equation at the end of this lesson
You will be able to graph exponential function at the end of this lesson
you will be able to solve logarithmic function at the end of this lesson
You will be able to solve logarithmic equations at the end of this lesson
you will be able to graph logarithmic function at the end of this lesson
you will be able to graph linear function at the end of this lesson
you will be able to graph quadratic equations at the end of this lesson
you will be able to identify some basic graph at the end of this lesson
test your knowledge with this quiz from everything you have learnt from section 1
LIMITS
you will be able to understand and solve average rate of change problems at the end of this lesson
you will be able to understand and solve problems related to instantaneous rate of change at the end of this lesson
you will be able to understand the definition of limit at the end of this lesson
you will be able to solve some examples relating to limit at the end of this lesson
you will see how to solve more examples on limit at the end of this lesson
you will be able to understand what we mean by on e sided limit at the end of this lesson
you will fully get the logic behind one sided limit at the end of this lesson
you will be able to use graph to evaluate Limit at the end of this lesson
you will be able to Evaluate Piece-wise Function at the end of this lesson
You will be able to use limit properties to evaluate limit at the end of this lesson
You will be able to solve Infinite Limit at the end of this lesson
you will learn more examples on infinite limit at the end of this lesson
you will be able to evaluate limit at infinity at the end of this lesson
you will learn more examples on limit at infinity at the end of this lesson
you will be able to understand continuity and discontinuity of a function at the end of this lesson
you will be able to able to identify if a function is continuous or not for piece-wise function at the end of this lesson
you will be able to understand intermediate value theorem at the end of this lesson
you are going to understand what is actually the precise definition of a limit at the end of this lesson
you will be able to proof that a limit actually exist using definition of limit, at the end of this lesson
test your knowledge with this quiz from everything you have learnt from section 2
DERIVATIVES
you will be able to understand how we define derivative at the end of this lesson
you will be able to find derivatives using the definition of the derivative at the end of this lesson
after the end of this lesson,you will be able to understand how will interpret derivative using word problem
you will learn different differentiation formulas at the end of this lesson
you will learn how to use power rule to find derivative of functions at the end of this lesson
you will learn how to use product rule to find derivative of functions at the end of this lesson
you will be able to use quotient rule to find the derivative of a function at the end of this lesson
you will learn how to take the derivative of trigonometry functions at the end of this lesson
you will learn how to take the derivative of Exponential function at the end of this lesson
you will be able to use chain rule to find the derivative of a function at the end of this lesson
you will be able to find the derivative of a function that contain inverse trigonometry at the end of this lesson
you will be able to find the derivative of a function that contain hyperbolic function at the end of this lesson
you will be able to understand implicit differentiation at the end of this lesson
you are going to understand the concept of related rate at the end of this lesson
you are going to know how to solve ladder problem on related rate at the end of this lesson
you are going to know how to solve shadow problem on related rate at the end of this lesson
You will know what higher order derivatives mean at the end of this lesson
you will be able to take derivatives of a function using logarithmic differentiation at the end of this lesson
test your knowledge with this quiz from everything you have learnt from section 3
APPLICATION OF DERIVATIVES
you will be able to understand the meaning of rate of change at the end of this lesson
you will be able to find critical of a function at the end of this lesson
you will be able to locate maximum and minimum values on a graph at the end of this lesson
you will be able to find Absolute and Relative extrema on a function at the end of this lesson
you will see more examples on Finding minimum and maximum values, that will clear all confusion at the end of this lesson
you will be able to know how a function increases and decreases using the shape of a graph at the end of this lesson
you will be able to determine if a function is increasing,decreasing and also determine concave up,concave down and Inflection Point at the end of this lesson
you are going to understand what we mean by Mean value theorem at the end of this lesson
you will see how will evaluate a function using mean value value theorem at the end of this lesson
you will see another on how will evaluate a function using mean value value theorem at the end of this lesson
you will see problem 1 on Optimization problem at the end of this lesson
you will see problem 2 on Optimization problem at the end of this lesson
you will see problem 3 on Optimization problem at the end of this lesson
you will see problem 4 on Optimization problem at the end of this lesson
you will be able to understand what indeterminate form and L'Hospital rule mean at the end of this lesson
you will be able to understand how to use linear approximation to solve functions at the end of this lesson
you will be able to take the differential of functions at the end of this lesson
you will be able to understand Newton method at the end of this lesson
you will be able to apply derivatives to business at the end of this lesson
test your knowledge with this quiz from everything you have learnt from section 4
INTEGRALS
you will be able to understand and solve indefinite integrals at the end of this lesson
you will learn more examples on indefinite integral at the end of this lesson
you will learn what U substitution rule is and how to use it to evaluate complicated integrals at the end of this lesson
you will learn more examples on U substitution rule at the end of this lesson
you will learn one more example on U substitution rule at the end of this lesson
you will be able to learn how to find area under the curve using integration at the end of this lesson
you will be able to find the area the a curve using reimann sum method at the end of this lesson
you will be able to evaluate most definite integrals at the end of this lesson
you will be able to solve more examples on definite integrals at the end of this lesson
you will learn how to use substitution rule to evaluate definite integrals at the end of this lesson
test your knowledge with this quiz from everything you have learnt from section 5
APPLICATIONS OF INTEGRALS
you will be able to solve average value of a function at the end of this lesson
you will be able to find the area between two curves at the end of this lesson
you will be able to understand what is volume of solid of Revolution using Ring method at the of this lesson