Course: Frontlearners Basic Calculus

Topic outline

Limits and Continuity
- BasicCalculus_001_Lesson File
  
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  Illustrating the Limit of a Function using Table of Values and Graph of the Function
- BasicCalculus_001_Quiz File
  
  Illustrating the Limit of a Function Using a Table of Values and the Graph of the Function
- BasicCalculus_002_Lesson File
  
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  Distinguishing Between the Limit of a Function at c and the Value of a Function at c
- BasicCalculus_002_Quiz File
  
  Distinguishing Between lim_𝑥→𝑐𝑓(𝑥) and 𝑓(𝑐)
- BasicCalculus_003_Lesson File
  
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  Illustrating the Limit Laws
- BasicCalculus_003_Quiz
  
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  Illustrating the Limit Laws
- BasicCalculus_004_Lesson File
  
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  Applying the Limit Laws in Evaluating the Limit of Algebraic Functions
- BasicCalculus_004_Quiz
  
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  Applying the Limit Laws in Evaluating the Limit of Algebraic Functions
- BasicCalculus_005_Lesson File
  
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  Computing the Limits of Exponential, Logarithmic, and Trigonometric Functions Using Tables of Values and Graphs of the Function
- BasicCalculus_005_Quiz File
  
  Computing the Limits of Exponential, Logarithmic, and Trigonometric Functions Using Tables of Values and Graphs of the Functions
- BasicCalculus_006_Lesson File
  
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  Evaluating Limits Involving the Expressions \( \frac{sin \ t}{t} \), \( \frac{1-cos \ t}{t} \), and \( \frac{e^t - 1 }{t} \) Using Tables of Values
- BasicCalculus_006_Activity Page
  
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  Evaluating Limits Involving the Expressions \( \frac{sin \ t}{t} \), \( \frac{1-cos \ t}{t} \), and \( \frac{e^t - 1 }{t} \) Using Tables of Values
- BasicCalculus_007_Lesson File
  
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  Illustrating Continuity of a Function at a Number
- BasicCalculus_007_Quiz
  
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  Illustrating Continuity of a Function at a Number
- BasicCalculus_008_Lesson File
  
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  Determining Whether a Function is Continuous at a Number or Not
- BasicCalculus_008_Quiz
  
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  Determining Whether a Function is Continuous at a Number or Not
- BasicCalculus_009_Lesson File
  
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  Illustrating Continuity of a Function on an Interval
- BasicCalculus_009_Quiz File
  
  Illustrating Continuity of a Function on an Interval
- BasicCalculus_010_Lesson File
  
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  Determining Whether a Function is Continuous on an Interval or Not
- BasicCalculus_010_Quiz File
  
  Determining Whether a Function is Continuous on an Interval or Not
- BasicCalculus_011_Lesson File
  
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  Illustrating Different Types of Discontinuity (Hole/Removable, Jump/Essential, Asymptotic/Infinite)
- BasicCalculus_011_Quiz
  
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  Illustrating Different Types of Discontinuity (Hole/Removable, Jump/Essential, Asymptotic/Infinite)
- BasicCalculus_012_Lesson File
  
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  Illustrating the Intermediate Value and Extreme Value Theorems
- BasicCalculus_012_Quiz
  
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  Illustrating the Intermediate Value and Extreme Value Theorems
- BasicCalculus_013_Lesson File
  
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  Solving Problems Involving Continuity of a Function
- BasicCalculus_013_Quiz File
  
  Solving Problems Involving Continuity of a Function
Derivatives
- BasicCalculus_014_Lesson File
  
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  Illustrating the Tangent Line to the Graph of a Function at a Given Point
- BasicCalculus_014_Quiz
  
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  Illustrating the Tangent Line to the Graph of a Function at a Given Point
- BasicCalculus_015_Lesson File
  
  Applying the Definition of the Derivative of a Function at a Given Number
- BasicCalculus_015_Quiz File
  
  Applying the Definition of the Derivative of a Function at a Given Number
- BasicCalculus_016_Lesson File
  
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  Relating the Derivative of a Function to the Slope of the Tangent Line
- BasicCalculus_016_Quiz File
  
  Relating the Derivative of a Function to the Slope of the Tangent Line
- BasicCalculus_017_Lesson File
  
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  Determining the Relationship Between Differentiability and Continuity of a Function
- BasicCalculus_017_Quiz File
  
  Determining the Relationship Between Differentiability and Continuity of a Function
- BasicCalculus_018a_Lesson File
  
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  Deriving the Differentiation Rules (Algebraic and Exponential Functions)
- BasicCalculus_018a_Quiz
  
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  Deriving the Differentiation Rule (Algebraic and Exponential Functions)
- BasicCalculus_018b_Lesson File
  
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  Deriving the Differentiation Rules (Trigonometric Functions)
- BasicCalculus_018b_Activity File
  
  Deriving the Differentiation Rules (Trigonometric Functions)
- BasicCalculus_019_Lesson File
  
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  Applying the Differentiation Rules in Computing the Derivative of an Algebraic, Exponential, and Trigonometric Functions
- BasicCalculus_019_Quiz File
  
  Applying the Differentiation Rules in Computing the Derivative of an Algebraic, Exponential, and Trigonometric Functions
- BasicCalculus_020_Lesson File
  
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  Solving Optimization Problems
- BasicCalculus_020_Quiz File
  
  Solving Optimization Problems
- BasicCalculus_021_Lesson File
  
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  Computing Higher-Order Derivatives of Functions
- BasicCalculus_021_Quiz File
  
  Computing Higher-order Derivatives of Functions
- BasicCalculus_022_Lesson File
  
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  Illustrating the Chain Rule of Differentiation
- BasicCalculus_022_Quiz File
  
  Illustrating the Chain Rule of Differentiation
- BasicCalculus_023_Lesson File
  
  Solving Problems Using the Chain Rule
- BasicCalculus_023_Quiz File
  
  Solving Problems Using the Chain Rule
- BasicCalculus_024_Lesson File
  
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  Illustrating Implicit Differentiation
- BasicCalculus_024_Quiz File
  
  Illustrating Implicit Differentiation
- BasicCalculus_025_Lesson File
  
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  Solving Problems Using Implicit Differentiation
- BasicCalculus_025_Quiz File
  
  Solving Problems (Including Logarithmic, and Inverse Trigonometric Functions) Using Implicit Differentiation
- BasicCalculus_026_Lesson File
  
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  Solving Situational Problems Involving Related Rates
- BasicCalculus_026_Quiz File
  
  Solving Situational Problems Involving Related Rates
Integration
- BasicCalculus_027_Lesson File
  
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  Illustrating an Antiderivative of a Function
- BasicCalculus_027_Quiz File
  
  Illustrate an Antiderivative of a Function
- BasicCalculus_028a_Lesson File
  
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  Computing the General Antiderivative of Polynomial and Radical Functions
- BasicCalculus_028a_Quiz
  
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  Computing the General Antiderivative of Polynomial and Radical Functions
- BasicCalculus_028b_Lesson File
  
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  Computing the General Antiderivative of Exponential and Trigonometric Functions
- BasicCalculus_028b_Quiz
  
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  Computing the General Antiderivative of Exponential and Trigonometric Functions
- BasicCalculus_029_Lesson File
  
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  Computing the Antiderivative of a Function Using Substitution Rule and Table of Integrals
- BasicCalculus_029_Quiz File
  
  Computing the Antiderivative of a Function Using Substitution Rule and Table Of Integrals
- BasicCalculus_030_Lesson File
  
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  Solving Separable Differential Equations Using Antidifferentiation
- BasicCalculus_030_Quiz File
  
  Solving Separable Differential Equations Using Antidifferentiation
- BasicCalculus_031a_Lesson File
  
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  Solving Situational Problems Involving Exponential Growth and Decay
- BasicCalculus_031a_Quiz File
  
  Solving Situational Problems Involving Exponential Growth and Decay
- BasicCalculus_031b_Lesson File
  
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  Solving Situational Problems Involving Bounded Growth and Logistic Growth
- BasicCalculus_031b_Quiz File
  
  Solving Situational Problems Involving Bounded Growth and Logistic Growth
- BasicCalculus_032_Lesson File
  
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  Approximating the Area of a Region under A Curve Using Riemann Sums: (A) Left, (B)Right, and (C) Midpoint
- BasicCalculus_032_Quiz File
  
  Approximating the Area of a Region Under a Curve Using Riemann Sums: (A) Left, (B) Right, and (C) Midpoint
- BasicCalculus_033_Lesson File
  
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  Defining the Definite Integral as the Limit of the Riemann Sums
- BasicCalculus_033_Quiz File
  
  Defining the Definite Integral as the Limit of the Riemann Sums
- BasicCalculus_034_Lesson File
  
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  Illustrating the Fundamental Theorem of Calculus
- BasicCalculus_034_Quiz File
  
  Illustrating the Fundamental Theorem of Calculus
- BasicCalculus_035_Lesson File
  
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  Computing the Definite Integral of a Function Using the Fundamental Theorem of Calculus
- BasicCalculus_035_Quiz File
  
  Computing the Definite Integral of a Function Using the Fundamental Theorem of Calculus
- BasicCalculus_036_Lesson File
  
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  Illustrating the Substitution Rule
- BasicCalculus_036_Quiz File
  
  Illustrating the Substitution Rule
- BasicCalculus_037_Lesson File
  
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  Computing the Definite Integral of a Function Using the Substitution Rule
- BasicCalculus_037_Quiz File
  
  Computing the Definite Integral of a Function Using the Substitution Rule
- BasicCalculus_038_Lesson File
  
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  Computing the Area of a Plane Region Using the Definite Integral
- BasicCalculus_038_Quiz File
  
  Computing the Area of a Plane Region Using the Definite Integral
- BasicCalculus_039_Lesson File
  
  Solving Problems Involving Areas of Plane Regions
- BasicCalculus_039_Quiz File
  
  Solving Problems Involving Areas of Plane Regions
Bibliography
- Reference Page
Topic 5
Topic 6
Topic 7
Topic 8
Topic 9
Topic 10