In this lesson, Professor John Zhu gives an introduction to the definitions and properties of functions. He tells you what the defintion is, the vertical line test, domain and range. He explains how to find the root or zeros, and the difference between odd and even functions, as well as increasing and decreasing functions.

Post by Aman Agrawal Aman Agrawalon August 2, 2015

What should i SKIP for CLEP Calculus Exam?

0 answers

Post by Jamal Tischleron 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 Daion 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 Kimon 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 Reichon 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 Schottenon May 31, 2012

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

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.

The book includes 3 full length practice tests with detailed explanations, a review of all the key concepts, and targeted strateeies to ace th exam for your highest score.

The book has a topic-by topic breakdown and lots of problem approach suggestions for both free response and multiple choice calculus questions. The book also includes two full length tests.

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?