Udemy - IB Math SL - Analysis and Approaches Differentiation

What you'll learn
Calculus
Differentiation
Integration
Requirements
Algebra
Basic Trigonometry
Logarithms
Exponents
Area
Description
This course is designed for IB Standard Level students looking to learn Differentiation. This course can only be purchased by adults. Once purchased, students can then access the contents of the course under the supervision of their parents.
The course is presented in the following manner.
Course content video explaining the concept
Downloadable course content notes
Worksheet and its Solution
Worksheet solution explanation video
The course is ideal for students looking to learn the difficult concept of differentiation in an easy to understand manner.
Learning Outcomes
1. Limits
Understanding Gradient of a Function
Description of Limits
Left Hand and Right Hand Limits
Examples
Vertical Asymptotes
Horizontal Asymptotes
Solving of different types of problems pertaining to Limits
2. Derivative of a Function
Gradient - Average rate of change
Derivative - Instantaneous rate of change
Differentiation - Using First Principles
Power Rule
Constant Rule
Sum/Difference Rule
3. Differentiation Rules
Product Rule
Quotient Rule
Chain Rule
Sample Problems
4. Tangents and Normal
Gradient of a function at a point is the slope of the tangent at that point
Obtaining the equation of a tangent
Obtaining the equation of a normal
Sample Problems
5. Graph
First Differentiation Test
Increasing/Decreasing Function
Critical Points
Maximum/Minimum
Second Differentiation Test
Inflexion Points
Concavity
Sketching graphs
6. Application of Differentiation
Optimization
Identify the constraint and write the equation
Identify the expression to be optimized
Write the expression in one variable using the equation
Optimize it by differentiating and equating to zero
Input the optimized parameter in the expression to obtain the optimized value
Kinematics
Relationship between Displacement, Velocity and Acceleration
Converting a displacement equation into velocity equation
Converting a velocity equation into a displacement equation
7. Past Paper Questions
Assorted past paper questions and their solutions
Video explanation of the solution
Who this course is for:
High School Students taking calculus
IB Calculus - Standard Level

Homepage

https://www.udemy.com/course/ib-math-sl-aa-differentiation/