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Applied Calculus with Python
Intermediate
Online
3 Weeks
Free Quick Facts
| Medium Of Instructions | Mode Of Learning | Mode Of Delivery |
|---|---|---|
| English | Self Study | Video and Text Based |
Courses and Certificate Fees
| Fees Informations | Certificate Availability | Certificate Providing Authority |
|---|---|---|
| INR 2436 | yes | Coursera |
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