2017-08-14 23:00:01

Become a Calculus 1 Master

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Learn everything from Calculus 1, then test your knowledge on 160+ quiz questions

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11,143 students enrolled

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 325-lesson course includes video and text explanations of everything in calculus 1, and it includes more than 60 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

Compare to Other Calculus Courses

Curriculum For This Course

228 Lectures

18:03:43
+
–

Calculus 1 - Introduction & Resources
2 Lectures
01:42

Quick overview before we get underway

01:24

Download the Calc 1 formula sheet

00:18

+
–

Foundations of Calculus - Functions
9 Lectures
25:14

Introduction to functions

00:20

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

2 questions

Course notes for domain and range.

Domain and range

00:00

Domain and range

2 questions

Domain and range from a graph calculus video example.

Domain and range from a graph

04:27

Domain and range from a graph

2 questions

Even, odd, or neither calculus video example.

Preview
04:11

Even, odd, or neither

2 questions

Classifying functions calculus video example.

Classifying functions

05:10

Classifying functions

2 questions

Course notes for independent and dependent variables.

Independent and dependent variables

00:00

Independent and dependent variables

2 questions

+
–

Foundations of Calculus - Graphing functions
12 Lectures
01:00:57

Introduction to graphing functions

00:21

Equation modeling calculus video example.

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

Lines, least squares lines calculus video example.

Least squares line

07:28

Least squares line

2 questions

Parabolas, sketching graphs calculus video example.

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

2 questions

Circles, sketching graphs calculus video example.

Graphing circles

06:55

Graphing circles

2 questions

+
–

Foundations of Calculus - Modifying functions
6 Lectures
35:11

Introduction to modifying functions

00:21

Combinations of functions calculus video example.

Combinations of functions

06:08

Combinations of functions

2 questions

Composite functions calculus video example.

Composite functions

04:26

Composite functions

2 questions

Composite functions, domain calculus video example.

Composite functions, domain

14:32

Composite functions, domain

2 questions

Transformations, algebraically calculus video example.

Transformations, algebraically

05:15

Transformations, sketching graphs calculus video example.

Transformations, sketching graphs

04:29

+
–

Foundations of Calculus - Inverse functions and logarithms
6 Lectures
21:01

Introduction to inverse functions and logarithms

00:21

Course notes for horizontal line test.

Horizontal line test (1-to-1)

00:01

Horizontal line test calculus video example.

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

2 questions

Inverse functions, finding f(x) from points on its inverse calculus video example.

Finding the equation of a function from points on its inverse

06:08

Finding the equation of a function from points on its inverse

2 questions

Laws of logarithms calculus video example.

Laws of logarithms

04:20

Laws of logarithms

2 questions

+
–

Foundations of Calculus - Other functions and trigonometry
9 Lectures
38:01

Introduction to other functions and trigonometry

00:21

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

2 questions

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

+
–

Limits & Continuity - Idea of the limit
3 Lectures
08:14

Introduction to idea of the limit

00:21

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

2 questions

Course notes for idea of the limit.

Idea of the limit

00:00

Idea of the limit

2 questions

+
–

Limits & Continuity - Formal definition of the limit
8 Lectures
33:20

Introduction to formal definition of the limit

00:21

Course notes for one-sided limits.

One-sided limits

00:02

One-sided limits calculus video example.

One-sided limits

09:25

One-sided limits

2 questions

Course notes for proving that the limits does not exist.

Proving that the limits does not exist

00:00

Proving that the limits does not exist calculus video example.

Proving that the limits does not exist

05:43

Proving that the limit does not exist

2 questions

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

2 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

2 questions

+
–

Limits & Continuity - Combinations and composites
2 Lectures
09:21

Introduction to combinations and composites

00:21

Limits of combinations calculus video example.

Limits of combinations

09:00

Limits of combinations

2 questions

+
–

Limits & Continuity - Continuity
4 Lectures
12:09

Introduction to continuity

00:20

Course notes for types of discontinuities.

Introduction to continuity

00:02

Continuity calculus video example.

Introduction to continuity

03:31

Introduction to continuity

2 questions

Removable discontinuities calculus video example.

Removable discontinuities

08:15

Jump discontinuities

2 questions

Infinite/essential discontinuities

2 questions

Endpoint discontinuities

2 questions

20 More Sections

About the Instructor