Learn Complete Calculus 1 from scratch
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Be a master of calculus 1. Learn Calculus 1 through animation ,The course includes videos explanation with basics, graphical and mathematical proofs. It carries hundreds of numerical practice problems with complete solutions. The lectures are appealing, fancy (graphic designing), fast and take less time to walk you through the content. A prefect choice for students who take high school and college.
Why I want you to join this course?
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It carries 42.5 hours content
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59 Sections
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370+ lectures
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327 areas that have been included
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325 Figures and tables
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556 solved numerical problems with complete solutions
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Animation has been used throughout the course
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Suitable background (Neither very sharp nor very dark)
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It took me full year to complete this course
So join me here and do it in a quick and easy way.
List of content:
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Function
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Domain & Range
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Inverse function
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Vertical line test
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Horizontal line test
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Ordered pair test
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Graphing of function
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Transformation of function
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Parabola
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Inverse parabolic function
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Circle
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Center and Radius of a circle
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Radian and Degree of a circle
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Least squares method
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Least square lines/Regression lines
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Limit
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Limit of Trigonometric functions
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Limit of infinity
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One-sided limit
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Two-sided limit
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Limit of multi variable functions
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Continuity & Discontinuity
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Asymptote
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Vertical Asymptote
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Horizontal Asymptote
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Hole
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Point-slope form of the equation
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Slope-intercept form of the equation
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Standard form of the equation
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Tangent and normal lines
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Derivative Rule
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Chain Rule
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Power Rule
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Product Rule
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Quotient Rule
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Derivative of Trigonometric functions
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Inverse Trigonometric functions
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Hyperbolic functions
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Inverse hyperbolic functions
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Composite functions
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Implicit Differentiation
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Logarithmic and exponential Rules
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Logarithmic and exponential differentiation
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Squeeze Theorem
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Modeling and solving the equations
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10
Prerequisites of Domain and Range -
11
Identify Domain and Range from the graph of parabolic functions
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12
Identify the Domain and Range from graph of some more parabolic functions
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13
Identify the Domain and Range from the graphs of straight lines
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14
Identify the Domain and Range from graphs of a straight line and a circle
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15
Identify the Domain and Range from the discrete graph of a function
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16
Identify Domain and Range from discrete graph of a straight line and a circle
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17
Find the Domain from polynomial and fractional functions
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18
Find domain from a Fractional function with quadratic equation at denominator
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19
Find the domain from square root functions
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20
Find the domain from square root function with quadratic equation
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21
Find the domain from square root functions in fractional form
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22
Find the Domain from square root functions both in numerator and denominator
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23
Find the domain from the addition of square root functions
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24
Find the Domain from a square root function with a root in numerator only
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32
Introduction to graphical representation of a function
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33
Basic technique to draw the graph of any function
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34
Introduction to piece-wise function and how to draw the graph from its equation?
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35
Draw the graph of parabolic piece-wise function from the equation
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36
Understand which is the correct graph of a piece-wise function
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37
Draw the graph from the equation of a piece-wise function with three sub pieces
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38
Derive the equation from the graph of a piece-wise function
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39
How to combine (add) multiple functions graphically?
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40
Transforming of a graph to another place after adding and subtracting some value
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41
Transforming of graph after multiplication of a value and then take its opposite
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42
Transforming of a graph after doing some changes to its dependent variable only
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43
Transform the graph of a cubic function after doing some changes to its equation
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44
Introduction to the composite function, how it is represented mathematically?
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45
Find the composition of functions by plugging some random values for 'x'
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46
Composition of functions by plugging one function for 'x' in another
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47
Check that interchanging of two functions gives us two different outputs
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51
Find the inverse function from the graph of a quadratic equation
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52
Identify the inverse function from the graph of a parabola
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53
Find the inverse function from the graph of a linear function
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54
Find the inverse function from the graph of a cubic function
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55
Check the inverse function from the graph of a simple root function
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56
Evaluate the inverse of a function from the graph of a circle
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57
Prerequisites to find the Inverse function from equation
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58
Find the Inverse function from the equation of a given function
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59
Find the Inverse function from the equation and then do a simple check
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60
Find the Inverse function from the equation of a quadratic and cubic function
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61
Find the Inverse function from the equation of a fractional function
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62
Find the Inverse function from a root and a quadratic equation
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66
Method 1- Find the vertex of a Parabola
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67
Method 2-Find the vertex of Parabola from the vertex form of quadratic equation
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68
Method 3-Find the vertex of Parabola from the factor form of quadratic equation
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69
Axis of symmetry, vertex and y-intercept of a Parabola
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70
Draw the graph of a Parabola using integers and odd numbers' method
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71
Find the Axis of symmetry, vertex and graph of a parabola using integer and odd
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72
Find different parameters of a parabola using integers and odds no. technique
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73
Find Axis of symmetry,x/y intercepts, graph, direction, maxi and min of parabola
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74
Learn how to derive the equation from the graph of a parabolic function
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75
Introduction to Point slope, slope intercept and standard form of the equation
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76
Some Pre-requisites to find the slope of a function
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77
Find the Point-slope and Slop-intercept of the line if the slope is given
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78
Find the Slop-intercept form of a line and then change it into standard form
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79
Find the Point-slope of a line, then change it into Slope-intercept & Standard
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80
Find the Slop and y-intercept of a line and draw its graph
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81
Find the Slop and y-intercept of a line and draw its graph from the equation
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82
Learn to plot the graph from the equation of a line
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83
Derive the equation from the given graph of a function
