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Become A Master Of Calculus 1

Learn everything you need to know about Calculus 1 and be a master in it,also test you knowledge with practice questions
Instructor:
Elvis Innocent Agbede
5,568 students enrolled
English [Auto]
Precalculus-Functions and how to modify functions,solving trigonometry equations,studying common graphs
Limit and continuity-how to solve every kind of limit problem,finding discontinuities in functions
Derivatives-we will introduce Derivatives. We cover the standard derivatives formulas including the product rule, quotient rule and chain rule as well as derivatives of polynomials, roots, trig functions, inverse trig functions, hyperbolic functions, exponential functions and logarithm functions. We also cover implicit differentiation, related rates, higher order derivatives and logarithmic differentiation.
Application of Derivatives-In this chapter we will cover many of the major applications of derivatives.
Integrals- In this chapter we will give an introduction to definite and indefinite integrals. We will discuss the definition and properties of each type of integral as well as how to compute them including the Substitution Rule and more
Application of Integrals-In this chapter we will take a look at some applications of integrals. We will look at Average Function Value, Area Between Curves, Volume (both solids of revolution and other solids) and Work

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”:

  • SECTION 1-PRE CALULUS(FUNCTIONS)

  • SECTION 2-LIMIT

  • SECTION 3-DERIVATIVES

  • SECTION 4- APPLICATION OF DERIVATIVES

  • SECTION 5- INTEGRAL

  • SECTION 6- APPLICATION OF INTEGRAL

FUNCTIONS

1
Introduction video to become a master of calculus 1

This video is a preview and a simple explanation of the course designed to meet the requirement of the student to understand Calculus 1

2
Introduction to function

In this lesson, you will learn how to determine if an equation is a function or not

3
Function Notation

you will be able to evaluate function at the end of this lesson

4
Finding the root of a function

You will be able to find the root of any function at the end of this lecture

5
Introduction to Domain and Range

You will be able to understand the concept about Domain and Range of a function at the end of this lesson

6
Solve examples on Domain and Range

you will be be able to determine the Domain and range of any function after this lesson

7
Inverse Function

You will be able to determine the inverse of a function at the end of this lecture

8
Introduction to trigonometry function

you will get to familiarize with trigonometry function at the end of the lesson

9
Unit Circle

At the end of this lesson,you will be able to understand how to write a unit circle without memorizing it.

10
Using unit circle to solve trigonometry function

you will be able to use unit circle to solve trigonometry functions at the end of this lesson

11
Solving trigonometry equations

At the end of this lecture,you will be able to solve trigonometry equations.

12
Exponential function

you will be able to understand exponential function at the end of this lesson

13
Solving exponential equation

you will be able to solve exponential equation at the end of this lesson

14
Graphing exponential function

You will be able to graph exponential function at the end of this lesson

15
Logarithmic function

you will be able to solve logarithmic function at the end of this lesson

16
Solving Logarithmic equations

You will be able to solve logarithmic equations at the end of this lesson

17
Graphing Logarithmic functions

you will be able to graph logarithmic function at the end of this lesson

18
Graphing Linear equations

you will be able to graph linear function at the end of this lesson

19
Graphing quadratic equations

you will be able to graph quadratic equations at the end of this lesson

20
Basic graph you should know

you will be able to identify some basic graph at the end of this lesson

21
END OF SECTION 1 QUIZ

test your knowledge with this quiz from everything you have learnt from section 1

LIMITS

1
Average rate of change

you will be able to understand and solve average rate of change problems at the end of this lesson

2
Instantaneous rate of change

you will be able to understand and solve problems related to instantaneous rate of change at the end of this lesson

3
Limit of a function

you will be able to understand the definition of limit at the end of this lesson

4
Solve examples on Limit part 1

you will be able to solve some examples relating to limit at the end of this lesson

5
Solve examples on Limit part 2

you will see how to solve more examples on limit at the end of this lesson

6
One sided Limit

you will be able to understand what we mean by on e sided limit at the end of this lesson

7
more examples on one sided Limit

you will fully get the logic behind one sided limit at the end of this lesson

8
Using Graph to evaluate Limit

you will be able to use graph to evaluate Limit at the end of this lesson

9
Evaluating Piece-wise Function

you will be able to Evaluate Piece-wise Function at the end of this lesson

10
Properties of Limit

You will be able to use limit properties to evaluate limit at the end of this lesson

11
Infinite Limit

You will be able to solve Infinite Limit at the end of this lesson

12
More examples on Infinite Limit

you will learn more examples on infinite limit at the end of this lesson

13
Limit at Infinity

you will be able to evaluate limit at infinity at the end of this lesson

14
More examples on Limit at Infinity

you will learn more examples on limit at infinity at the end of this lesson

15
Continuity and Discontinuity

you will be able to understand continuity and discontinuity of a function at the end of this lesson

16
Continuity and Discontinuity For Piece-wise Function

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

17
Intermediate Value Theorem

you will be able to understand intermediate value theorem at the end of this lesson

18
Precise Definition of a Limit

you are going to understand what is actually the precise definition of a limit at the end of this lesson

19
Examples on Precise Definition of a Limit

you will be able to proof that a limit actually exist using definition of limit, at the end of this lesson

20
END OF SECTION 2 QUIZ

test your knowledge with this quiz from everything you have learnt from section 2

DERIVATIVES

1
The definition of the derivative

you will be able to understand how we define derivative at the end of this lesson

2
Finding Derivatives using the definition of the derivative

you will be able to find derivatives using the definition of the derivative at the end of this lesson

3
Interpretation of the Derivative

after the end of this lesson,you will be able to understand how will interpret derivative using word problem

4
Differentiation Formulas

you will learn different differentiation formulas at the end of this lesson

5
Power Rule

you will learn how to use power rule to find derivative of functions at the end of this lesson

6
Product Rule

you will learn how to use product rule to find derivative of functions at the end of this lesson

7
Quotient Rule

you will be able to use quotient rule to find the derivative of a function at the end of this lesson

8
Derivatives of Trigonometry functions

you will learn how to take the derivative of trigonometry functions at the end of this lesson

9
Derivatives of Exponential Functions

you will learn how to take the derivative of Exponential function at the end of this lesson

10
Chain Rule

you will be able to use chain rule to find the derivative of a function at the end of this lesson

11
Derivative of Inverse trigonometry Function

you will be able to find the derivative of a function that contain inverse trigonometry at the end of this lesson

12
Derivative of Hyperbolic functions

you will be able to find the derivative of a function that contain hyperbolic function at the end of this lesson

13
Implicit Differentiation

you will be able to understand implicit differentiation at the end of this lesson

14
Related Rate

you are going to understand the concept of related rate at the end of this lesson

15
Related rate(Ladder Problem)

you are going to know how to solve ladder problem on related rate at the end of this lesson

16
Related rate (Shadow problem)

you are going to know how to solve shadow problem on related rate at the end of this lesson

17
Higher Order Derivatives

You will know what higher order derivatives mean at the end of this lesson

18
Logarithmic Differentiation

you will be able to take derivatives of a function using logarithmic differentiation at the end of this lesson

19
END OF SECTION 3 QUIZ

test your knowledge with this quiz from everything you have learnt from section 3

APPLICATION OF DERIVATIVES

1
Rates Of Change

you will be able to understand the meaning of rate of change at the end of this lesson

2
Critical Point

you will be able to find critical of a function at the end of this lesson

3
Introduction to Finding Maximum and Minimum Values

you will be able to locate maximum and minimum values on a graph at the end of this lesson

4
Examples on Finding Maximum and Minimum Values(Absolute & Relative Extrema)

you will be able to find Absolute and Relative extrema on a function at the end of this lesson

5
More Examples on Finding Maximum and Minimum values

you will see more examples on Finding minimum and maximum values, that will clear all confusion at the end of this lesson

6
Shape of a Graph

you will be able to know how a function increases and decreases using the shape of a graph at the end of this lesson

7
Example On Shape of a Graph

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

8
Mean Value Theorem

you are going to understand what we mean by Mean value theorem at the end of this lesson

9
Example 1 On Mean Value Theorem

you will see how will evaluate a function using mean value value theorem at the end of this lesson

10
Example 2 on Mean Value Theorem

you will see another on how will evaluate a function using mean value value theorem at the end of this lesson

11
Optimization Problem 1

you will see problem 1 on Optimization problem at the end of this lesson

12
Optimization Problem 2

you will see problem 2 on Optimization problem at the end of this lesson

13
Optimization Problem 3

you will see problem 3 on Optimization problem at the end of this lesson

14
Optimization Problem 4

you will see problem 4 on Optimization problem at the end of this lesson

15
L'Hospital's Rule And Indeterminate Forms

you will be able to understand what indeterminate form and L'Hospital rule mean at the end of this lesson

16
Linear Approximations

you will be able to understand how to use linear approximation to solve functions at the end of this lesson

17
Differentials

you will be able to take the differential of functions at the end of this lesson

18
Newton's Method

you will be able to understand Newton method at the end of this lesson

19
Business Application

you will be able to apply derivatives to business at the end of this lesson

20
END OF SECTION 4 QUIZ

test your knowledge with this quiz from everything you have learnt from section 4

INTEGRALS

1
Indefinite Integrals

you will be able to understand and solve indefinite integrals at the end of this lesson

2
More examples on indefinite integrals

you will learn more examples on indefinite integral at the end of this lesson

3
Substitution Rule For Indefinite Integrals

you will learn what U substitution rule is and how to use it to evaluate complicated integrals at the end of this lesson

4
More Examples On Substitution Rule on Indefinite Integrals

you will learn more examples on U substitution rule at the end of this lesson

5
One More Example on U substitution Rule For Indefinite Integrals

you will learn one more example on U substitution rule at the end of this lesson

6
Finding Area under The Curve

you will be able to learn how to find area under the curve using integration at the end of this lesson

7
Reimann Sum Method For Finding Area Under The Curve

you will be able to find the area the a curve using reimann sum method at the end of this lesson

8
Definite Integrals

you will be able to evaluate most definite integrals at the end of this lesson

9
More Examples On Definite Integrals

you will be able to solve more examples on definite integrals at the end of this lesson

10
Substitution Rule For Definite Integrals

you will learn how to use substitution rule to evaluate definite integrals at the end of this lesson

11
END OF SECTION 5 QUIZ

test your knowledge with this quiz from everything you have learnt from section 5

APPLICATIONS OF INTEGRALS

1
Average Value Of a Function

you will be able to solve average value of a function at the end of this lesson

2
Area Between Two Curves

you will be able to find the area between two curves at the end of this lesson

3
Volume Of Solid Of Revolution(Method Of Rings)

you will be able to understand what is volume of solid of Revolution using Ring method at the of this lesson

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