Become a Calculus 1 Master
4.6 (2,180 ratings)
Instead of using a simple lifetime average, Udemy calculates a course's star rating by considering a number of different factors such as the number of ratings, the age of ratings, and the likelihood of fraudulent ratings.
21,382 students enrolled

Become a Calculus 1 Master

Learn everything from Calculus 1, then test your knowledge on 220+ quiz questions
Best Seller
4.6 (2,180 ratings)
Instead of using a simple lifetime average, Udemy calculates a course's star rating by considering a number of different factors such as the number of ratings, the age of ratings, and the likelihood of fraudulent ratings.
21,382 students enrolled
Created by Krista King
Last updated 8/2018
English
English, Portuguese [Auto-generated], 1 more
  • Spanish [Auto-generated]
30-Day Money-Back Guarantee
Includes
  • 18.5 hours on-demand video
  • 144 Articles
  • 210 Downloadable Resources
  • Full lifetime access
  • Access on mobile and TV
  • Certificate of Completion
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What Will I Learn?
  • Precalculus, including everything about functions, their graphs, and how to modify functions
  • Limits & Continuity, including how to solve every kind of limit problem, and how to find discontinuities in a function

  • Derivatives, including all of the derivative rules, the infamous chain rule, and how to do implicit differentiation

  • Applications of Derivatives, including two of the hardest topics from Calc 1: optimization and related rates
Requirements
  • A decent foundation (it doesn't have to be perfect! :D) in Algebra is required for this course.
  • Some experience with Trigonometry/Precalc would be helpful, but isn't required.
Description

HOW BECOME A CALC 1 MASTER IS SET UP TO MAKE COMPLICATED MATH EASY

This 338-lesson course includes video and text explanations of everything in Calculus 1, and it includes more than 110 quizzes (with solutions!) to help you test your understanding along the way. Become a Calculus 1 Master is organized into four sections:

  • Precalculus
  • Limits & Continuity
  • Derivatives
  • Applications of Derivatives

These are the four chapters at the beginning of every Calculus 1 class.

And here’s what you get inside of every lesson:

Videos: Watch over my shoulder as I solve problems for every single math issue you’ll encounter in class. We start from the beginning... I explain the problem setup and why I set it up that way, the steps I take and why I take them, how to work through the yucky, fuzzy middle parts, and how to simplify the answer when you get it.

Notes: The notes section of each lesson is where you find the most important things to remember. It’s like Cliff Notes for books, but for math. Everything you need to know to pass your class and nothing you don’t.

Quizzes: When you think you’ve got a good grasp on a topic within a course, you can test your knowledge by taking one of our quizzes. If you pass, wonderful. If not, you can review the videos and notes again or ask me for help in the Q&A section.


HERE'S WHAT SOME STUDENTS OF CALCULUS 1 MASTER HAVE TOLD ME:

“This course is absolutely amazing, I use both this course and the calc 2 course to be able to keep up with accelerated, without this i would be screwed. She's very easy to understand.” - Dean V.

“I'm really enjoying how the course has been simplified and made easy to understand. The quizzes after every section helped solidify the concepts. Everything is explained in detail and with great simplicity. I really like the way Krista teaches, It's quite clear, straightforward and easy to understand. It's comprehensive interactive course and totally worth the time and money! I bought all calculus volumes.” - Ghaith A.

“Very well-made. Instructor explained everything clearly; found no difficulties understanding topics of study through instructor's teaching methods. Done very well, overall! Glad to have invested in this course!” - Anish S.

“AWESOME TUTORIALS! GREAT COURSE! DEFINITELY RECOMMENDED!” - Bonnie H.

“There is very clear instructions. I'm learning this before actually taking calculus in college so I can have a deeper understanding of math (I'm a math major). She explains everything very thoroughly and works through every problem as if you're a beginner. I will say that I am terrible at receiving audible information but brilliant with someone showing me how to do something on a board and she makes it very clear at understanding everything. I am very pleased to have this much course coverage. I feel like I have my own personal tutor without the expense. Btw if you like math, trigonometric identities are fun!” - Christian R.

“I am very satisfied with this course. It is very clear, delivers all the interesting topics I like that I am taken from knowing little to actually knowing the calculus including the applied mathematics too. This is only Calculus I but it gives me not only sense of accomplishment and understanding but also the foundation for the future courses.” - Robert B.

“I'm self studying mathematics for my electrical engineering degree and this course has been very VERY helpful. I find myself doing these videos before my homework. It makes me want to keep learning. Thank you Krista.” - Lester S.

Who is the target audience?
  • Anyone who's completed Algebra and some Trigonometry/Precalc and wants to take the next step
  • Current calculus students, or students about to start calculus who are looking to get ahead
  • Homeschool parents looking for extra support with calculus
  • Anyone who wants to study calculus for fun after being away from school for a while
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Curriculum For This Course
283 Lectures
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Calculus 1 - Introduction & Resources
2 Lectures 01:45
Quick overview before we get underway
01:27
Download the Calc 1 formula sheet
00:18
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Foundations of Calculus - Functions

11 Lectures 25:14
Introduction to functions
00:00
RESOURCE: Quiz solutions for this section
00:16

Learn about functions, what they are, what they aren't, and how to test for them.

Preview 04:52

Course notes for vertical line test.

Vertical line test
00:01

Vertical line test calculus video example.

Vertical line test
06:10
Vertical line test
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Domain and range
00:01
Domain and range
2 questions
Domain and range from a graph
00:02

Domain and range from a graph calculus video example.

Domain and range from a graph
04:27
Domain and range from a graph
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Even, odd, or neither calculus video example.

Preview 04:11
Even, odd, or neither
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Classifying functions calculus video example.

Classifying functions
05:10
Classifying functions
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Course notes for independent and dependent variables.

Independent and dependent variables
00:00
Independent and dependent variables
2 questions
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Foundations of Calculus - Graphing functions

12 Lectures 53:25
Introduction to graphing functions
00:00
RESOURCE: Quiz solutions for this section
00:17
Equation modeling
06:28
Equation modeling
2 questions

Equation modeling, piecewise-defined function calculus video example.

Modeling a piecewise-defined function
05:28
Modeling a piecewise-defined function
2 questions

Story problems, sketching graphs calculus video example.

Sketching graphs from story problems
04:07
Sketching graphs from story problems
2 questions

Course notes for linear functions.

Equation of a line in point-slope form
00:01

Lines, point-slope form calculus video example.

Equation of a line in point-slope form
08:28
Equation of a line in point-slope form
2 questions
Equation of a line in slope-intercept form
00:01

Lines, slope-intercept form calculus video example.

Equation of a line in slope-intercept form
06:28
Equation of a line in slope-intercept form
2 questions

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Graphing parabolas
09:24
Graphing parabolas
2 questions

Circles, finding center and radius calculus video example.

Finding center and radius of a circle
05:47
Finding center and radius of a circle
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Circles, sketching graphs calculus video example.

Graphing circles
06:55
Graphing circles
2 questions
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7 Lectures 35:07
Introduction to modifying functions
00:00
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00:17

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Combinations of functions
06:08
Combinations of functions
2 questions

Composite functions calculus video example.

Composite functions
04:26
Composite functions
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Composite functions, domain
14:32
Composite functions, domain
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Transformations, algebraically calculus video example.

Transformations, algebraically
05:15

Transformations, sketching graphs calculus video example.

Transformations, sketching graphs
04:29
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Foundations of Calculus - Inverse functions and logarithms
7 Lectures 20:58
Introduction to inverse functions and logarithms
00:00
RESOURCE: Quiz solutions for this section
00:17

Course notes for horizontal line test.

Horizontal line test (1-to-1)
00:01
Horizontal line test (1-to-1)
04:10
Horizontal line test (1-to-1)
2 questions

Inverse functions calculus video example.

Inverse functions
06:01
Inverse functions
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Finding the equation of a function from points on its inverse
06:08
Finding the equation of a function from points on its inverse
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Laws of logarithms calculus video example.

Laws of logarithms
04:20
Laws of logarithms
2 questions
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Foundations of Calculus - Other functions and trigonometry
10 Lectures 37:57
Introduction to other functions and trigonometry
00:00
RESOURCE: Quiz solutions for this section
00:17

Course notes for quadratic functions.

Quadratic formula
00:01

Quadratic formula calculus video example.

Quadratic formula
04:28
Quadratic formula
2 questions

Course notes for completing the square.

Completing the square
00:01

Completing the square calculus video example.

Completing the square
05:04
Completing the square
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Course notes for rational functions.

Long division of polynomials
00:01

Long division of polynomials calculus video example.

Long division of polynomials
04:53
Long division of polynomials
2 questions

Hyperbolic identities calculus video example.

Hyperbolic identities
04:56

Unit circle calculus video example.

Unit circle
18:15
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Limits & Continuity - Idea of the limit
5 Lectures 08:37
Introduction to idea of the limit
00:00
RESOURCE: Quiz solutions for this section
00:17

Learn about limits and continuity, how to use different techniques to the find the limit, and how to categorize different types of continuity.

Introduction to limits and continuity
07:52
Introduction to limits and continuity
3 questions

Course notes for idea of the limit.

Idea of the limit
00:00
Idea of the limit
3 questions
BONUS! Extra practice problems. :)
00:26
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Limits & Continuity - Formal definition of the limit
9 Lectures 34:03
Introduction to formal definition of the limit
00:21
RESOURCE: Quiz solutions for this section
00:17
One-sided limits
00:02
One-sided limits
09:25
One-sided limits
3 questions

Proving that the limits does not exist calculus video example.

Proving that the limit does not exist
05:43
Proving that the limit does not exist
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Course notes for precise definition of the limit.

Precise definition of the limit
00:02

Precise definition of the limit calculus video example.

Precise definition of the limit
11:27
Precise definition of the limit
3 questions

Precise definition of the limit, finding delta calculus video example.

Precise definition of the limit, finding delta
06:18
Precise definition of the limit, finding delta
3 questions
BONUS! Extra practice problems. :)
00:26
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Limits & Continuity - Combinations and composites
5 Lectures 31:23
Introduction to combinations and composites
00:00
RESOURCE: Quiz solutions for this section
00:17
Limits of combinations
09:00
Limits of combinations
3 questions
Limits of composites
21:39
Limits of composites
3 questions
BONUS! Extra practice problems. :)
00:26
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Limits & Continuity - Continuity
8 Lectures 29:24
Introduction to continuity
00:00
RESOURCE: Quiz solutions for this section
00:16
Introduction to continuity
00:01

Continuity calculus video example.

Introduction to continuity
03:31
Introduction to continuity
3 questions
Removable discontinuities
08:15
Jump discontinuities
09:15
Jump discontinuities
3 questions
Infinite/essential discontinuities
07:38
Infinite/essential discontinuities
3 questions
Endpoint discontinuities
3 questions
BONUS! Extra practice problems. :)
00:26
20 More Sections