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    Quick Facts

    Medium Of InstructionsMode Of LearningMode Of Delivery
    EnglishSelf StudyVideo and Text Based

    Courses and Certificate Fees

    Certificate AvailabilityCertificate Providing Authority
    yesCoursera

    The Syllabus

    Videos
    • Introduction to Python
    • Working with SymPy
    Readings
    • Options for Using Python
    • Data Types and Variables in Python
    • Operators and Expressions in Python
    • SymPy Basics
    Practice Exercise
    • Introduction to Python and SymPy

    Videos
    • Theory: Functions
    • Theory: More about Functions
    • Theory: Graphing and Composition
    • Python: Graphing Functions
    • Python: Interactive Quadratic Calculator
    • Theory: Exponential Functions
    • Theory: Logarithmic Functions
    • Theory: The Natural Logarithm
    • Python: Exponentials and Logarithms
    Readings
    • Functions and Linear Functions
    • Functions in Python
    • Sample Problems - Introduction to Functions
    • Exponential and Logarithmic Functions
    • Exponents and Logarithms in SymPy
    • Solving Equations in SymPy
    • Sample Problems - Exponential and Logarithmic Functions
    Practice Exercises
    • Introduction to Functions
    • Exponential and Logarithmic Functions

    Videos
    • Theory: Introduction to Limits
    • Theory: Limits Involving Infinity
    • Theory: One-Sided Limits
    • Examples to Find Limits
    • Python: Finding Limits 
    • Theory: Derivatives
    • Examples: Finding Derivatives using Limits
    • Theory: Using Limits to Find the Slope of the Tangent Line
    • Theory: Higher Derivatives
    • Theory: The Derivative as a Function
    • Python: Finding Derivatives using Sympy
    Readings
    • Lists and Tuples in Python
    • Limits and Rates of Change
    • Limits and Rates of Change in SymPy
    • Sample Problems - Limits and Rates of Change
    • The Derivative
    • Derivatives in SymPy
    • Sample Problems - The Derivative
    Practice Exercises
    • Limits and Rates of Change
    • The Derivative

    Videos
    • Theory: Derivatives of Polynomial Functions
    • Theory: Derivatives of Exponentials
    • Theory: The Quotient Rule
    • Theory: The Product Rule
    • Theory: Chain Rule
    • Theory: Max and Min Values
    • Theory: How Derivatives Affect the Shape of a Graph
    • Python: Local Extrema Calculator
    • Optimization Examples
    Readings
    • Derivative Rules
    • Sample Problems - Derivative Rules
    • Maxima, Minima, Concavity, and Inflection Points
    • Optimization Word Problems
    • Using the Derivative with SymPy
    • Sample Problems - Using the Derivative
    Practice Exercises
    • Derivative Rules
    • Using the Derivative

    Videos
    • Theory: Area under a Line
    • Theory: Area Under Curves
    • Theory: The Definite Integral
    • Theory: Properties of the Definite Integral
    • Python: Approximate and Exact Integration
    • Theory: Antiderivatives
    • Theory: The Fundamental Theorem of Calc
    • Theory: Worked Examples
    Readings
    • Distance, Accumulated Change, and the Definite Integral
    • Riemann Sums and Definite Integrals in Python
    • Sample Problems - Distance, Accumulated Change, and the Definite Integral
    • Antiderivatives and the Fundamental Theorem of Calculus
    • Indefinite Integrals in SymPy
    • Sample Problems - The Fundamental Theorem of Calculus
    Practice Exercises
    • Distance, Accumulated Change, and the Definite Integral
    • The Fundamental Theorem of Calculus

    Instructors

    Articles

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