Calculus is essential for understanding optimization in machine learning. This course introduces you to the fundamental concepts of calculus such as functions, limits, derivatives, and integrals.
Overview
Syllabus
- Lesson 1: Understanding Functions
- Evaluate Exponential Function
- Define and Evaluate a Linear Function
- Define and Plot a Cubic Function
- Define and Plot a Sine Function
- Modify Quadratic Function to Vertex at Origin
- Modeling Temperature Change Over a Day
- Plotting Maintenance Cost of a Garden
- Plotting a Complex Mathematical Function
- Lesson 2: Understanding Limits
- Compute Limit of Linear Function
- Limit of Absolute Value Function as x Approaches 0
- Calculating Limits for a Rational Function at an Undefined Point
- Approaching From Both Sides
- Lesson 3: Basic Derivatives
- Approximate Derivative of Cubic Function
- Calculate the Derivative of a Function at Given Points
- Calculate and Compare Derivatives of a Linear Function
- Plot and Calculate Derivative of a Quadratic Function
- Calculate the Derivative of a Decaying Exponential Function
- Calculate Acceleration Using Derivatives
- Lesson 4: Exploring the Derivative as a Function
- Plotting a Constant Function and Its Derivative
- Plotting a Linear Function and Its Derivative
- Plotting a Quadratic Function and Its Derivative
- Plotting a Cubic Function and Its Derivative
- Plot Quadratic Function and Its Derivative to Find Minimum
- Lesson 5: Basic Integrals
- Adjust the Limits of Integration
- Complete the Trapezoidal Rule Integral and Plot the Graph
- Compare Areas Under Two Functions Using Trapezoid Rule
- Car Fuel Consumption Integral Calculation
- Calculate the Integral from Negative Infinity to Infinity
