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INSTRUCTORS Raffi Hovasapian John Zhu
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For more information, please see full course syllabus of Calculus AB
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Lecture Comments (10)

0 answers

Post by Aman Agrawal Aman Agrawal on August 2, 2015

What should i SKIP for CLEP Calculus Exam?

0 answers

Post by Jamal Tischler on May 4, 2015

No proof for the theorems he just give us... not even an intuitive idea of why this is like that.

1 answer

Last reply by: John Zhu
Thu Jan 15, 2015 10:53 AM

Post by Rebecca Dai on January 11, 2015

Hi Mr. Zhu. If I want to study AP Calculus BC by myself, do I need to watch all the AB courses first and then watch BC courses? Thank you

1 answer

Last reply by: John Zhu
Thu Jan 15, 2015 10:46 AM

Post by KyungYeop Kim on July 9, 2013

Hi, I recently completed pre-Calculus course and have decided to take AP Calculus AB this school year. The question is: in regard to summer preparation for AP Calculus, what can I do during the summer to prepare efficiently for such a hard math course? Also, is your lecture a legit way to self-study without background other than precal? (please note that basic trig fuctions and bearings are all we did in calss. Also note that I merely want to go over the concepts and maybe some problems in preparation.) Feel free to suggest other methods, books, etc., f you would like to share. Thank you.

0 answers

Post by Joseph Reich on July 3, 2012

A function is not necessarily a 1 to 1 function. A function is a relation where for every value in the domain, there is a unique value in the range. A 1 to 1 function is a function whose inverse is also a function, or a function that has a unique x for each y AND a unique y for each x.

This is an important distinction

2 answers

Last reply by: Joshua Spears
Mon Feb 11, 2013 10:08 AM

Post by Christopher Schotten on May 31, 2012

What is the importance of differentiating between whether a graph is a function or not?

Related Articles:

Definitions & Properties of Functions

  • Vertical line test: any vertical line passes a function only once
  • Finding roots: set equation = 0, then solve for x
  • Forms: graph, list, equation, function
  • Types: even, odd, increasing, decreasing

Definitions & Properties of Functions

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

  • Intro 0:00
  • Definition 0:28
  • Properties: Vertical Line Test 1:32
    • Domain
    • Range
    • Vertical Line test
    • Example 1
    • Example 2
  • Properties: Roots or Zeros 4:04
    • Finding the Root
  • Properties: Forms 5:12
    • Graphically
    • List
    • Equation
    • Function
  • Properties: Odd & Even 7:12
    • Even Function
    • Odd Function
  • Properties: Increasing & Decreasing 9:17
    • Increasing Function
    • Decreasing Function