Become a Full Master of Calculus 1 - Learn step by step

Name: Become a Full Master of Calculus 1 - Learn step by step
Rating: 4.6 (86 reviews)

Learn everything of Calculus 1, 42.5 hrs videos, 59 Sections, 327 areas, 556 solved numerical problems

Created byMoein Ud Din

Last updated 6/2022

English

What you'll learn

Function, Domain and Range, Vertical line/Horizontal line/Ordered pair tests, Graphing of function, Inverse of a function, Parabola
Limit, Limit of trig functions, Limit of infinity, One-sided/Two-sided limits, Limit of multi variable function, Continuity and Discontinuity
Derivative rule, Chain rule, Power, Product and Quotient rule, Derivative of trig functions, inverse trig, hyperbolic, inverse hyperbolic, Composite functions,
Implicit differentiation, Asymptote, Vertical, horizontal asymptote and Hole, Point-slope, Slope-intercept, Standard form of equation,
Circle, Logarithmic rules, Logarithmic differentiation, Least square lines/ Regression lines, Squeeze theorem

Course content

61 sections • 372 lectures • 42h 20m total length

Introduction0:59

What is function?9:09
Types of functions5:04
Explore the classification of functions by type, including algebraic and polynomial functions (quadratic to fifth degree), rational and power functions, and the transcendental family with trigonometric, logarithmic, and exponential cases.
Even and Odd functions10:01
Graphical representation of Even and Odd functions4:51
Visualize how graphs symmetric about the y-axis indicate even functions, while symmetry about the origin indicates odd functions, using x^2 and sin x as examples.
Neither functions2:47
Products of functions6:07
Addition and Subtraction of functions6:10
Learn to add and subtract functions by combining like powers, using examples f(x)=2x^2+2x and g(x)=2x+1, and a subtraction case.
Division of functions1:37

Prerequisites of Domain and Range8:27
Identify Domain and Range from the graph of parabolic functions7:55
Identify the Domain and Range from graph of some more parabolic functions9:56
Identify the Domain and Range from the graphs of straight lines7:18
Identify the domain and range from graphs of straight lines by reading arrowheads and end circles on the x and y axes, using inequality notation.
Identify the Domain and Range from graphs of a straight line and a circle8:04
Identify the Domain and Range from the discrete graph of a function5:23
Identify the domain and range from a discrete graph by listing the x and y coordinates of plotted points; contrast with a continuous graph using endpoints that extend to infinity.
Identify Domain and Range from discrete graph of a straight line and a circle10:19

Find the Domain from polynomial and fractional functions9:26
Find domain from a Fractional function with quadratic equation at denominator3:46
Find the domain from square root functions11:45
Find the domain from square root function with quadratic equation5:02
Find the domain from square root functions in fractional form8:08
Find the Domain from square root functions both in numerator and denominator6:26
Find the domain from the addition of square root functions13:26
Find the Domain from a square root function with a root in numerator only10:25

Introduction to graphical representation of a function2:13
Basic technique to draw the graph of any function11:31
Learn the basic technique to graph any function by selecting x-values, building a value table, plotting points, and connecting them to reveal linear or parabolic shapes.
Introduction to piece-wise function and how to draw the graph from its equation?6:45
Draw the graph of parabolic piece-wise function from the equation10:21
Understand which is the correct graph of a piece-wise function17:28
Draw the graph from the equation of a piece-wise function with three sub pieces10:00
Derive the equation from the graph of a piece-wise function12:02
Derive the equations for each piece of a three-piece function from its graph, including a parabola and two lines with domain borders.
How to combine (add) multiple functions graphically?8:56

Transforming of a graph to another place after adding and subtracting some value11:50
Explore how adding or subtracting values shifts the graph of a function in the x y plane, using y equals x squared and y equals 2 x squared as examples.
Transforming of graph after multiplication of a value and then take its opposite8:49
Transforming of a graph after doing some changes to its dependent variable only13:53
Transform the graph of a cubic function after doing some changes to its equation8:02

Requirements

Be able to know the very basics of calculus, algebra and trigonometry

Description

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?

It carries 42.5 hours content
59 Sections
370+ lectures
327 areas that have been included
325 Figures and tables
556 solved numerical problems with complete solutions
Animation has been used throughout the course
Suitable background (Neither very sharp nor very dark)
It took me full year to complete this course

List of content:

Function
Domain & Range
Inverse function
Vertical line test
Horizontal line test
Ordered pair test
Graphing of function
Transformation of function
Parabola
Inverse parabolic function
Circle
Center and Radius of a circle
Radian and Degree of a circle
Least squares method
Least square lines/Regression lines
Limit
Limit of Trigonometric functions
Limit of infinity
One-sided limit
Two-sided limit
Limit of multi variable functions
Continuity & Discontinuity
Asymptote
Vertical Asymptote
Horizontal Asymptote
Hole
Point-slope form of the equation
Slope-intercept form of the equation
Standard form of the equation
Tangent and normal lines
Derivative Rule
Chain Rule
Power Rule
Product Rule
Quotient Rule
Derivative of Trigonometric functions
Inverse Trigonometric functions
Hyperbolic functions
Inverse hyperbolic functions
Composite functions
Implicit Differentiation
Logarithmic and exponential Rules
Logarithmic and exponential differentiation
Squeeze Theorem
Modeling and solving the equations

Who this course is for:

Beginner at high school/college

Become a Full Master of Calculus 1 - Learn step by step

What you'll learn

Explore related topics

Course content

Introduction1 lecture • 1min

Function8 lectures • 46min

Domain and Range of a Function - Domain and Range from graphs7 lectures • 57min

Domain and Range of a Function - Polynomial, Fractional and Root functions8 lectures • 1hr 8min

Ordered pair tests, One-to-One and Onto Functions4 lectures • 18min

Vertical line Tests, Horizontal line Tests3 lectures • 21min

Graphing of Functions8 lectures • 1hr 19min

Transformation of graph of a Function4 lectures • 43min

Function - Composite Functions4 lectures • 22min

Inverse Functions - Introduction to Inverse Function3 lectures • 9min

Requirements

Description

Who this course is for: