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Quick Facts

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

Courses and Certificate Fees

Fees InformationsCertificate AvailabilityCertificate Providing Authority
INR 2421yesCoursera

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

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