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Udemy

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

via Udemy

Overview

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

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

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 youthroughthe content. A prefect choice for students who take high school and college.

Why I want you to join this course?

  1. It carries 42.5 hours content

  2. 59 Sections

  3. 370+ lectures

  4. 327 areas that have been included

  5. 325 Figures and tables

  6. 556 solved numerical problems with complete solutions

  7. Animation has been used throughout the course

  8. Suitable background (Neither very sharp nor very dark)

  9. 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


Syllabus

  • Introduction
  • Function
  • Domain and Range of a Function - Domain and Range from graphs
  • Domain and Range of a Function - Polynomial, Fractional and Root functions
  • Ordered pair tests, One-to-One and Onto Functions
  • Vertical line Tests, Horizontal line Tests
  • Graphing of Functions
  • Transformation of graph of a Function
  • Function - Composite Functions
  • Inverse Functions - Introduction to Inverse Function
  • Inverse Functions - Find Inverse Functions from graphs
  • Inverse Functions - Identify the Inverse Functions from equation
  • Parabola - Introduction to Parabola
  • Parabola - Problem solutions using Method 1, 2 & 3 and also integer/odd method
  • Point slope, Slope intercept and Standard form of the equation
  • Tangent and Normal lines
  • Circle - Center, Radius and Equation of a Circle
  • Circle - Center and Radius from the graph of a circle
  • Circle - Center and Radius of a circle from completing the square
  • Circle - Radians & Degrees of a circle
  • Curve fitting - Least Square lines / Regression lines
  • Curve fitting - Group averages method
  • Limit - Introduction
  • Limit - Procedures to find the limit
  • Limit - Limit of Trigonometric functions
  • Limit - Limit of Infinity
  • Limit - One-sided and Two-sided limits from the graph
  • Limit - One and Two sided limit from the Equation
  • Limit - Limit of Multi variables functions
  • Limit - Continuity & Discontinuity
  • Asymptote
  • Squeeze Theorem - Introduction and Proof
  • Squeeze Theorem - Problems with solutions
  • Logarithmic & Exponential Rules - Basic Rules
  • Logarithmic & Exponential Rules - Problems with solutions
  • Logarithmic & Exponential Functions - Extraneous Roots
  • Derivative/Differentiation - Basics and Pre-requisites
  • Derivative/Differentiation - Power Rule
  • Derivative/Differentiation - Difference Quotient Rule
  • Derivative/Differentiation - Quotient Rule
  • Derivative/Differentiation - Product Rule
  • Logarithmic & Exponential Differentiation - Derivative of Function to Function
  • Logarithmic & Exponential Differentiation - product and Fractional function
  • Chain Rule - Introduction to the Chain Rule
  • Chain Rule - Single Chain Rule
  • Chain Rule - Multi-Chain Rule
  • Chain Rule - Product Chain Rule
  • Chain Rule - Quotient Chain Rule
  • Trigonometric Functions - Graphical & Mathematical Proofs of trig functions
  • Trigonometric Functions - Substitute random values for trig with proofs

Taught by

Moein Ud Din

Reviews

4.6 rating at Udemy based on 86 ratings

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