Ch 10: Multi-Variable Calculus Lesson Plans

About This Chapter

The Multi-Variable Calculus chapter of this course is designed to help you plan and teach multivariate functions in your classroom. The video lessons, quizzes and transcripts can easily be adapted to provide your lesson plans with engaging and dynamic educational content. Make planning your course easier by using our syllabus as a guide.

Weekly Syllabus

Below is a sample breakdown of the Multi-Variable Calculus chapter into a 5-day school week. Based on the pace of your course, you may need to adapt the lesson plan to fit your needs.

Day Topics Key Terms and Concepts Covered
Monday Piecewise functions Domains, examples and applications of piecewise functions, translations of the graphs of piecewise functions
Tuesday Composite functions Methods for writing and evaluating composite functions, rules for manipulating functions
Wednesday Lagrange multipliers Extrema of multivariate functions, function optimization, constraints
Thursday Partial derivatives Problem-solving methods for partial differential equations
Friday Constrained optimization Steps for maximizing and minimizing functions, uses of partial derivatives

6 Lessons in Chapter 10: Multi-Variable Calculus Lesson Plans
Test your knowledge with a 30-question chapter practice test
What are Piecewise Functions?

1. What are Piecewise Functions?

A piecewise function is a certain type of function that is made up of different parts. This lesson will define and describe piecewise functions and teach you how to identify them and how to write them.

Translating Piecewise Functions

2. Translating Piecewise Functions

Piecewise functions are two or more functions that only use part of a domain. If these functions need to be changed, we can translate them without even having to know the equation.

How to Evaluate Composite Functions

3. How to Evaluate Composite Functions

Sometimes a math function depends on the outcome of another function. This lesson breaks down this chain reaction, called a composite function, and how to evaluate them.

Manipulating Functions and Solving Equations for Different Variables

4. Manipulating Functions and Solving Equations for Different Variables

Functions can be manipulated to solve for many different variables. There are certain rules to follow, but if the rules are adhered to, solving equations can be quite simple. This lesson will show you how.

Lagrange Multipliers Method & Examples

5. Lagrange Multipliers Method & Examples

Finding extreme values like minimum distance and maximum area with calculus is fun. This lesson explores the Lagrange multiplier method which extends the calculus approach even further.

Solving Partial Derivative Equations

6. Solving Partial Derivative Equations

In this lesson, we'll introduce partial derivative equations and look into how they are solved. We'll explore several of the derivative rules and apply those rules to solve a few examples.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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