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
Function
Domain and Range of a Function - Domain and Range from graphs
Domain and Range of a Function - Polynomial, Fractional and Root functions
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10Prerequisites of Domain and Range
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11Identify Domain and Range from the graph of parabolic functions
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12Identify the Domain and Range from graph of some more parabolic functions
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13Identify the Domain and Range from the graphs of straight lines
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14Identify the Domain and Range from graphs of a straight line and a circle
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15Identify the Domain and Range from the discrete graph of a function
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16Identify Domain and Range from discrete graph of a straight line and a circle
Ordered pair tests, One-to-One and Onto Functions
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17Find the Domain from polynomial and fractional functions
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18Find domain from a Fractional function with quadratic equation at denominator
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19Find the domain from square root functions
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20Find the domain from square root function with quadratic equation
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21Find the domain from square root functions in fractional form
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22Find the Domain from square root functions both in numerator and denominator
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23Find the domain from the addition of square root functions
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24Find the Domain from a square root function with a root in numerator only
Vertical line Tests, Horizontal line Tests
Graphing of Functions
Transformation of graph of a Function
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32Introduction to graphical representation of a function
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33Basic technique to draw the graph of any function
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34Introduction to piece-wise function and how to draw the graph from its equation?
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35Draw the graph of parabolic piece-wise function from the equation
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36Understand which is the correct graph of a piece-wise function
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37Draw the graph from the equation of a piece-wise function with three sub pieces
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38Derive the equation from the graph of a piece-wise function
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39How to combine (add) multiple functions graphically?
Function - Composite Functions
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40Transforming of a graph to another place after adding and subtracting some value
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41Transforming of graph after multiplication of a value and then take its opposite
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42Transforming of a graph after doing some changes to its dependent variable only
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43Transform the graph of a cubic function after doing some changes to its equation
Inverse Functions - Introduction to Inverse Function
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44Introduction to the composite function, how it is represented mathematically?
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45Find the composition of functions by plugging some random values for 'x'
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46Composition of functions by plugging one function for 'x' in another
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47Check that interchanging of two functions gives us two different outputs
Inverse Functions - Find Inverse Functions from graphs
Inverse Functions - Identify the Inverse Functions from equation
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51Find the inverse function from the graph of a quadratic equation
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52Identify the inverse function from the graph of a parabola
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53Find the inverse function from the graph of a linear function
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54Find the inverse function from the graph of a cubic function
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55Check the inverse function from the graph of a simple root function
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56Evaluate the inverse of a function from the graph of a circle
Parabola - Introduction to Parabola
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57Prerequisites to find the Inverse function from equation
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58Find the Inverse function from the equation of a given function
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59Find the Inverse function from the equation and then do a simple check
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60Find the Inverse function from the equation of a quadratic and cubic function
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61Find the Inverse function from the equation of a fractional function
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62Find the Inverse function from a root and a quadratic equation
Parabola - Problem solutions using Method 1, 2 & 3 and also integer/odd method
Point slope, Slope intercept and Standard form of the equation
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66Method 1- Find the vertex of a Parabola
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67Method 2-Find the vertex of Parabola from the vertex form of quadratic equation
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68Method 3-Find the vertex of Parabola from the factor form of quadratic equation
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69Axis of symmetry, vertex and y-intercept of a Parabola
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70Draw the graph of a Parabola using integers and odd numbers' method
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71Find the Axis of symmetry, vertex and graph of a parabola using integer and odd
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72Find different parameters of a parabola using integers and odds no. technique
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73Find Axis of symmetry,x/y intercepts, graph, direction, maxi and min of parabola
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74Learn how to derive the equation from the graph of a parabolic function
Tangent and Normal lines
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75Introduction to Point slope, slope intercept and standard form of the equation
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76Some Pre-requisites to find the slope of a function
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77Find the Point-slope and Slop-intercept of the line if the slope is given
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78Find the Slop-intercept form of a line and then change it into standard form
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79Find the Point-slope of a line, then change it into Slope-intercept & Standard
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80Find the Slop and y-intercept of a line and draw its graph
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81Find the Slop and y-intercept of a line and draw its graph from the equation
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82Learn to plot the graph from the equation of a line
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83Derive the equation from the given graph of a function