Become a Full Master of Calculus 1 - Learn step by step
This course is the perfect choice for students who want to become a master of Calculus 1. It includes 42.5 hours of content, 59 sections, 370+ lectures, 327 areas, 325 figures and tables, and 556 solved numerical problems with complete solutions. Animation has been used throughout the course, and the lectures are appealing, fancy, fast and take less time to walk you through the content. The course covers topics such as 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, and modeling and solving equations. Join this course to become a full master of Calculus 1 and learn step by step. ▼
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Course Feature
Cost:
Paid
Provider:
Udemy
Certificate:
Paid Certification
Language:
English
Start Date:
2022-06-21
Course Overview
❗The content presented here is sourced directly from Udemy platform. For comprehensive course details, including enrollment information, simply click on the 'Go to class' link on our website.
Updated in [August 13th, 2023]
Skills and Knowledge Acquired:
This course will provide students with the skills and knowledge necessary to become a full master of Calculus 1. Students will learn the basics of Calculus 1 through animation, graphical and mathematical proofs, and hundreds of numerical practice problems with complete solutions. The lectures are designed to be appealing, fancy, fast, and efficient, making them a perfect choice for high school and college students. Through this course, students will acquire knowledge of functions, domains and ranges, inverse functions, vertical and horizontal line tests, ordered pair tests, graphing of functions, transformations of functions, parabolas, inverse parabolic functions, circles, centers and radii of circles, radians and degrees of circles, least squares methods, least square lines/regression lines, limits, continuity and discontinuity, asymptotes, holes, point-slope form of equations, slope-intercept form of equations, standard form of equations, tangent and normal lines, derivatives, chain rule, power rule, product rule, quotient rule, derivatives 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, and modeling and solving equations.
Contribution to Professional Growth:
This course contributes to professional growth by providing a comprehensive overview of Calculus 1. It covers a wide range of topics, including functions, domain and range, inverse functions, graphing, transformations, parabolas, circles, least squares methods, limits, continuity and discontinuity, asymptotes, tangent and normal lines, derivatives, chain rule, power rule, product rule, quotient rule, trigonometric functions, inverse trigonometric functions, hyperbolic functions, inverse hyperbolic functions, composite functions, implicit differentiation, logarithmic and exponential rules, logarithmic and exponential differentiation, squeeze theorem, and modeling and solving equations. The course also includes videos, explanations, graphical and mathematical proofs, hundreds of numerical practice problems with complete solutions, and appealing, fancy graphic designs. This comprehensive overview of Calculus 1 provides students with the knowledge and skills necessary to succeed in high school and college, and can help them to develop the skills needed for professional growth.
Suitability for Further Education:
This course is suitable for preparing further education as it covers a wide range of topics related to calculus 1. It includes videos explanation with basics, graphical and mathematical proofs, hundreds of numerical practice problems with complete solutions, and animation to help students understand the content. The course also covers 42.5 hours of content, 59 sections, 370+ lectures, 327 areas, 325 figures and tables, and 556 solved numerical problems with complete solutions. Additionally, the lectures are appealing, fancy, fast, and take less time to walk students through the content. This makes it a perfect choice for students who take high school and college.
Course 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
Trigonometric Functions - Solve trigonometric functions
Inverse Trigonometric functions
Hyperbolic Trigonometric functions - Basic & Proofs
Hyperbolic Trigonometric functions - Solve numerical
Inverse Hyperbolic Trigonometric Functions
Implicit Differentiation - Introduction to implicit differentiation
Implicit Differentiation - Method 1 to solve Implicit Differentiation
Implicit Differentiation - Method 2 to solve Implicit Differentiation
Implicit Differentiation - Line on the curve
Equation Modelling and solving the equation
Bonus Materials
Course Provider
Provider Udemy's Stats at AZClass
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