Ch 15: Calculus: Min/Max & Integrals

About This Chapter

View these text and video lessons on working with lines in calculus. They will guide you through the basic equations and theorems to work with minimums and maximums, line and double integrals, and gradient fields.

Calculus: Min/Max & Integrals - Chapter Summary

In this chapter you will focus on analyzing lines in calculus. You will start by working with determining minimums and maximums. Then the instructors examine line integrals with the fundamental theorem of calculus. Finally, Green's theorem and gradient fields are discussed.

If calculus isn't exactly your favorite subject or it has just been a long time since you've even looked at a calculus book, these short lessons will help you brush up on some calculus basics. By reviewing these lessons and getting back up to ninja-level mathematical fitness, you'll easily take on the more complicated calculus functions in other chapters. This chapter will get you going again on:

  • Using the Lagrange multiplier method and constraints to solve minimum and maximum problems
  • Understanding line integrals and how to use the fundamental theorem of calculus to work with them
  • Defining double integrals and evaluating them using iterated integrals
  • Working with Green's theorem to evaluate closed double integrals
  • Explaining gradient fields and their path independence

Each lesson is specially crafted by a professional mathematician with lots of experience to engage your attention and bring these mathematical principles to you in a fun manner. You will have the freedom to study at your own pace. The video lessons let you skip around to the parts you need with the handy video tags. Take the quizzes after each lesson to see how well you are understanding that material. Use the chapter quiz to gauge synthesis of the concepts or take it before beginning the chapter to focus your studies on those specific topics where you need the most practice.

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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