- Course type: Self-paced
- Available Lessons: 65
- Average Lesson Length: 8 min
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Watch a preview:chapter 1 / lesson 1What is a Function: Basics and Key Terms
Course SummaryThis Business Calculus Syllabus Resource & Lesson Plans course is a fully developed resource to help you organize and teach business calculus. You can easily adapt the video lessons, transcripts, and quizzes to take full advantage of the comprehensive and engaging material we offer. Make planning your course easier by using our syllabus as a guide.
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Course Practice TestCheck your knowledge of this course with a 50-question practice test.
- Comprehensive test covering all topics
- Detailed video explanations for wrong answers
How It Works
You can use this Business Calculus course as a template for designing and implementing your course. Here are the key components of the course and how you can use them:
- Chapters - Each chapter covers a unit of business calculus, from graphs and limits to derivatives and factored polynomials. Use these chapters as mile markers as you map out your course. We recommend planning to spend a week on each chapter, but you can always allocate the chapters according to the length of your specific business calculus course.
- Lessons - Within each chapter are video lessons that further break down topics into bite-sized chunks. These lessons cover single topics like indefinite integrals and anti-derivatives. Each one is often appropriate for a single class.
- Key Terms - Within each lesson are key terms. These are emphasized on screen and in the transcript. As you develop your syllabus, these key terms help you focus on the most important learning objectives. For example, the lesson on functions for business calculus includes instruction on graphing and compounding functions and applying function operations.
As you work on your business calculus lesson plans, save time by incorporating video lessons from this resource. Here's how:
- Introduce Topics - Your students will be in the right mindset for understanding topics like continuity and one-sided limits if you begin class with a short video. It can be a jumping-off point for a lecture, group activity or class discussion.
- Break Up Lectures - The video format, which often includes animation, helps students visualize topics like logarithmic properties.
- Assign For Homework - Each lesson in the course, from graphing basic functions to solving partial derivatives, can be assigned to your students as homework.
Each video lesson includes a complete transcript. You can utilize these transcripts in several ways:
- Lecture Notes - Do you need a guide as you plan a lecture, such as one on translating piecewise functions? The transcripts cover each topic in depth, with key terms highlighted for quick reference.
- Student Reading - Perhaps you'd like your students to learn about curve sketching derivatives, but you don't have class time available. Assign the transcript as extra reading.
- Study Tools - When it's time for a unit exam on Growth Models in Business Calculus, you can point your students to the transcripts on consumer surplus, the Keynesian model and exponential growth as well as related topics to help them study.
Each video lesson has a corresponding quiz. Here's how to use the quizzes:
- Homework - Assign a quiz to your students as homework. You'll receive an email with the results, which enables you to verify they've completed the assignment and that they've understood the material. Questions cover everything from the quotient rule to marginal analysis.
- Tests - You can meld the material in the quizzes into your own student assessments, saving you valuable time. Need a few questions on implicit functions or calculating derivatives? There are plenty!
- Discussions - Jump-start a discussion with questions like: What is an exponential function?
Below is a sketch of the Business Calculus syllabus modeled on a 10-week course. This sample can be adapted based on your course schedule. Navigate the chapters and lessons for more detail.
|Week||Unit||Sample of Topics Covered|
|Week 1||Functions for Business Calculus||The definition of a function, inverse functions, positive, negative, increasing and decreasing functions|
|Week 2||Working with Limits in Business Calculus||Properties of limits, asymptotes, infinity and average rates|
|Week 3||Derivatives and Differentiation in Business Calculus||Graphical representations, the product rule and expansions|
|Week 4||Calculating and Graphing Derivatives in Business Calculus||Concavity, higher-order derivatives, the use of differentiation|
|Week 5||Derivatives of Functions in Business Calculus||Approximations, exponential functions, location as a function of time|
|Week 6||Optimization in Business Calculus||Optimizing simple and complex systems, the five steps to solving optimization problems|
|Week 7||Logarithms in Business Calculus||Natural base e, behavior or exponential functions, the natural log, price elasticity|
|Week 8||Integrals in Business Calculus||The fundamental theorem of calculus, indefinite integrals, composite functions, substitution|
|Week 9||Growth Models in Business Calculus||The population growth formula, exponential decay, asymptotes|
|Week 10||Multi-Variable Calculus||Composite functions, constrained optimization problems, Lagrange multipliers|
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