Become a Calculus 1 Master - A Complete Course on Calculus 1
A Unique Course on Calculus 1 covering Functions, Limits, Derivatives and More with Lot of Live Examples and Quizzes
Welcome to this Calculus course. This course covers all the important aspects of Calculus 1 needed to Master Calculus. There are a lot of Live Worked Examples and Quizzes for each topic that will help you in understanding the topic in most comprehensive way. Following are the topics which this course covers:
- What is a Function?
- Recognizing if a given relation is Function or Not
- Vertical Line Test
- Quizzes on "Functions"
- Evaluating functions from Equations
- Evaluating functions from Graphs
- Even, odd or neither
- Even, odd or neither from Graphs
- Quizzes on "Evaluating Functions"
- Domain of a Function
- Range of a Function
- Explanatory Example: Finding the Domain and Range of a Function
- Domain and Range from Graph
- Explanatory Example: Determining the Domain and Range from Graphs
- Quizzes on "Domain and Range of a Function"
- Domain of a Radical Functions
- Domain of Rational Functions
- Quizzes on "Domain of Radical and Rational Functions"
- Introduction to the Relative (Local) and Absolute (Global) Minima and Maxima
- Explanatory Example: Finding 'Relative and Absolute' Maxima and Minima
- Quizzes on "Minima and Maxima of a Function"
- Introduction to Positive and Negative Intervals
- Explanatory Examples: Positive and Negative Intervals from Graphs and Equations
- Quizzes on "Positive and Negative Intervals of a Function"
- Introduction: Increasing and Decreasing Intervals
- Explanatory Example: Finding Increasing and Decreasing Intervals
- Quizzes on "Increasing and Decreasing Intervals of a Function"
- Introduction to Average Rate of Change of a Function
- Explanatory Examples: Calculating Average Rate of Change from Graphs
- Explanatory Examples: Calculating Average Rate of Change from Equations
- Quizzes on "Average Rate of Change of a Function"
- Introduction to Composite Function and its Domain
- Evaluating Composite Functions From Equations
- Evaluating Composite Functions using Graphs
- Quizzes on "Composite Functions"
- Introduction to the Inverse Function
- How to find the Inverse Function
- Domain and Range of an Inverse Function
- Quizzes on "Inverse of a Function"
- Introduction to the Limit of a Function
- Explanatory Examples: Finding Limits from Graphs
- Explanatory Example: Finding one-sided limits and overall limit from Graphs
- One-Sided Limits
- Introduction to Continuity
- Explanatory Example: Finding the Continuity of a function from Graphs
- Quizzes on "Limit and Continuity"
- Defining and Understanding the Derivative (Instantaneous Rate of Change)
- Explanatory Examples: Calculating the Derivative using its standard formula
- Derivative Rules
- Derivative Rule #1: Derivative of a Constant
- Derivative Rule #2: Multiplication by a Constant
- Derivative Rule #3: Power Rule
- Derivative Rule #4: Sum Rule
- Derivative Rule #5: Difference Rule
- Derivative Rule #6: Product Rule
- Derivative Rule #7: Quotient Rule
- Derivative Rule #8: Reciprocal Rule
- The Chain Rule
- Practice Problems: Derivatives
- Practice Problems: Derivatives
- Practice Problems: Derivatives
- Quizzes on "Derivatives"
- Derivative of Trigonometric Functions
- Practice Problems: Trigonometric Derivatives
- Practice Problems: Trigonometric Derivatives
- Quizzes on "Trigonometric Derivatives"
- Derivative of Exponential Functions
- Practice Problems: Exponential Derivatives
- Quizzes on "Exponential Derivatives"
- Derivative of Logarithmic Functions
- Practice Problems: Logarithmic Derivatives
- Quizzes on "Logarithmic Derivatives"
I encourage you to take this course if you are really struggling to ace Calculus 1 and still looking for a complete course to help you in the subject. I'm sure this course will serve your purpose fully. Wish you all the best. Take care:)
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