課程介紹

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

This 292-lesson course includes video and text explanations of everything from Calculus 1, and it includes 76 quizzes (with solutions!) and an additional 19 workbooks with extra

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哪些人適合這堂課？

• 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

學習目標

• 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

課程介紹

HOW BECOME A CALCULUS 2 MASTER IS SET UP TO MAKE COMPLICATED MATH EASY:

This 557-lesson course includes video and text explanations of everything from Calculus 2, and it includes 180 quizzes (with solutions!) and an additional 20 workbooks with extr

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哪些人適合這堂課？

• Anyone who’s completed Calc 1 and wants to take the next step
• Current calculus students, or students about to start Calc 2 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

學習目標

• Integrals, including approximating area, the dreaded Fundamental Theorem of Calculus, and every kind of integration technique
• Applications of Integrals, including volume of revolution with disks, washers and shells, and all kinds of real world applications
• Polar & Parametric, including how to sketch polar curves and find the area bounded by polar curves
• Sequences & Series, including all the convergence tests, and Taylor and Maclaurin series

課程介紹

HOW BECOME A CALCULUS 3 MASTER IS SET UP TO MAKE COMPLICATED MATH EASY:

This 526-lesson course includes video and text explanations of everything from Calculus 3, and it includes 161 quizzes (with solutions!) and an additional 40 workbooks with extr

…[更多細節]

哪些人適合這堂課？

• Anyone who’s completed Calc 2 and wants to take the next step
• Current calculus students, or students about to start Calc 3 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

學習目標

• Partial Derivatives, including higher order partial derivatives, multivariable chain rule and implicit differentiation
• Multiple Integrals, including approximating double and triple integrals, finding volume, and changing the order of integration
• Vectors, including derivatives and integrals of vector functions, arc length and curvature, and line and surface integrals

課程介紹

You’ll really appreciate the flexibility of an online course as you study the principles of calculus: derivatives, integrals, limits, approximation, applications and modeling. With no preset test dates or deadlines, you can take as much time as you n

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哪些人適合這堂課？

• Anyone who has taken algebra can take this course!
• This is intended as a University level course – but made simple

學習目標

• Understand and compute limits
• Know how to take derivatives of any function
• Apply derivatives to real-world problems
• Understand optimization and extreme values
• Know how to take antiderivatives
• Understand the Fundamental Theorem of Calculus

課程介紹

I have NEVER believed in simply memorizing things. Your greatest asset in life is time. If you study something, you invest your time in it. If you memorize it, soon you will forget it – that is not a great investment. But if you truly understand some

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哪些人適合這堂課？

• Science and Engineering students
• Working Scientists and Engineers

學習目標

• You will develop very strong intuition & understanding in Calculus
• You will learn how to apply Calculus in real life to the level not seen in other courses

課程介紹

Calculus I is designed primarily for those students planning to pursue programs in engineering, mathematics, computer science, and physical sciences. This course includes topics of differential and integral calculus of a single variable. This course

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哪些人適合這堂課？

• College Students or high school students taking a first course in calculus.

學習目標

• Take the derivative of polynomial, rational, natural exponential, logarithmic, trigonometric, and inverse trigonometric functions.
• Understand how to use the product, quotient, and chain rule.

課程介紹

This is literally the ULTIMATE Calculus 1 Course!!!

Basically just,

1) Watch the videos, and try to follow along with a pencil and paper, take notes!

2) Try to do the problems before I do them(if you can!)

3) Try to complete the assignments. Solu

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哪些人適合這堂課？

• Anyone who wants to learn Calculus

學習目標

• An Intuitive Understanding of Limits
• Understand Limit Notation in Calculus
• Understand what a Limit actually is and what it means for a Limit to Exist
• How to Compute Limits from a Graph
• How to Compute Limits Analytically
• How to Compute Limits by Rationalizing
• How to Compute Limits by Factoring Quadratics
• How to Compute Limits with the Difference of Cubes
• How to Compute Limits with Absolute Values
• How to Compute Limits with Piecewise Functions
• How to Think More Deeply about Limits
• How to use the Squeeze Theorem to Compute Limits
• How to use the Squeeze Theorem to do a Simple Proof
• How to Compute Limits using Special Trigonometric Limits
• How to Compute Limits that have Trigonometric Functions in them
• How to Write a Delta Epsilon Proof for a Linear Function, Quadratic Function, Cubic Function, and Trigonometric Function
• Understand what Continuity Means Intuitively
• Understand the Definition of Continuity in a Very Deep Way
• Understand what Removable and Nonremovable Discontinuities are
• How to Find Removable and Nonremovable Discontinuities in Rational Functions, Trigonometric Functions, and Absolute Value Functions
• How to Find Removable and Nonremovable Discontinuities in Piecewise Functions
• Understand the Intermediate Value Theorem
• How to Use the Intermediate Value Theorem
• Understand What Infinite Limits actually are
• How to Compute Infinite Limits with Rational and Trigonometric Functions
• Understand what a Vertical Asymptote is and the Precise Definition via Calculus
• How to Find Vertical Asymptotes with and without Calculus
• Understand what a Derivative is
• Understand How to Construct the Concept of Derivative from Scratch
• How to Find the Derivative of a Function using the Limit Definition
• How to use all Basic Differentiation Formulas for Polynomials and Trigonometric Functions
• How to use the Product Rule, Quotient Rule, and Chain Rule for Differentiation
• How to Compute Higher Order Derivatives
• How to Find the Slope of the Tangent Line
• How to Find Horizontal Tangent Lines
• How to Find the Equation of the Tangent Line
• How to Various Challenging Calculus Problems involving Derivatives
• How to Some of Key Derivative Formulas
• Understand the Average Rate of Change
• Understand the Instantaneous Rate of Change
• How to Compute the Average Rate of Change
• How to Compute the Instantaneous Rate of Change
• Understand the Relationship Between Position, Velocity, Acceleration, Speed, and Jerk with Calculus
• How to Compute Velocity and Acceleration and Speed
• How to do Harder Word Problems Involving Velocity and Acceleration
• Understand Implicit Differentiation
• How to Differentiate Implicitly
• How to Find the Equation of the Tangent Line using Implicit Differentiation
• How to Find Vertical and Horizontal Tangent Lines using Implicit Differentiation
• How to Find the Second Derivative with Implicit Differentiation
• Understand Related Rates Word Problems
• How to do Related Rates Word Problems
• Understand the Difference Between Absolute and Relative Extrema
• How to Find Absolute and Relative Extrema from a Graph
• Understand what a Critical Number Actually is
• Understand the Definition of a Critical Number
• How to Find Critical NUmbers
• Understand the Extreme Value Theorem
• How to Find the Absolute Maximums and Minimums of a Continuous Function on a Closed Interval
• Understand Rolle’s Theorem Intuitively and Why it Works
• How to Use Rolle’s Theorem
• Understand the Mean Value Theorem Intuitively and Why it Works
• How to Use the Mean Value Theorem
• Understand the Relationship Between the First Derivative and where the Graph of a Function is Increasing or Decreasing
• How to Use the First Derivative Test to Find Relative Maximums and Relative Minimums
• How to use the First Derivative to Determine the Intervals where a Function is Increasing and Decreasing
• Understand the Notion of Concavity and How the Second Derivative is Involved
• How to use the Second Derivative to Find Inflection Points and Intervals where a function is Concave Up and Concave Down
• How to use the Second Derivative Test to Find Relative Maximums and Relative Minimums
• How to Compute Limits at Infinity
• How to Find Horizontal Asymptotes
• How to Do Optimization Word Problems
• How to use Newton’s Method
• How to Compute the Differential dy and use it to Approximate the Actual Change in y
• Understand Indefinite Integration
• Learn all of the basic integration formulas
• How to Evaluate Indefinite Integrals
• How to Solve Differential Equations
• How to Integration by Substitution
• Understand the Summation Formulas used to Compute Definite Integrals with the Definition
• Understand the Detailed Construction of the Riemann Integral
• How to use Limit Definition of a Definite Integral to Find the Area under a Curve
• Understand the First Fundamental Theorem of Calculus
• How to Use the Fundmantal Theorem of Calculus to Evaluate Definite Integrals
• How to Evaluate Definite Integrals with u substitution and how to carefully change the limits of integration
• How to Evaluate Definite Integrals with Absolute Values
• How to Find the Area Bounded by a Region using Definite Integrals
• Understand the Mean Value Theorem for Integrals and it’s Relationship to the Average Value of a Function
• How to use the Mean Value Theorem for Integrals
• How to Find the Average Value of a Function over an Interval
• How to use the Second Fundamental Theorem of Calculus
• How to use the Extended Fundamental Theorem of Calculus
• How to use Simpson’s Rule
• How to Compute Derivatives involving the Natural Logarithm
• How to Integrate using formulas involving the natural logarithm
• How to Compute Derivatives involving e^x
• How to Compute Integrals involving e^x
• How to Compute Derivatives and Integrals involving Bases other than e

課程介紹

WHAT IS THIS COURSE ABOUT?

Having trouble learning Pre-calculus? Don’t know where to start? 

Well, you are in the right place. I want to welcome you to a course on Precalculus where you will acquire skills to become an expert on a wide range of Fun

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哪些人適合這堂課？

• Students currently taking Precalculus.
• People who want to learn Precalculus or prepare for Calculus.
• Homeschool parents wanting to support their kids with Precalculus

學習目標

• Find domain and range of a variety of functions.
• Determine behavior of a function from its graph.
• Transform and combine functions.
• Divide Polynomials.
• Master Logarithmic and Exponential functions.
• Master the Unite Circle.
• Construct and Graph Trigonometric Functions and Inverse Trig Functions.
• Determine domain and range of of Trigonometric Functions.
• Proof Trigonometric identities and equations.
• Master Sequences and Series and get to know the different kinds.
• Aquire thorough understanding of Conic Sections, and how to find their equations.
• Be able to use the Binomial Theorem to expand powers of a binomial

課程介紹

This is a University Level course on Selected Topics in Advanced Calculus/Real Analysis with a major focus on WRITING PROOFS:)

Note: Advanced Calculus(aka Real Analysis) is typically considered the HARDEST course a mathematics major will take.

This

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哪些人適合這堂課？

• Math Majors
• Anyone with a strong desire to learn higher level mathematics

學習目標

• Understand Advanced Mathematical Notation
• How to Write Proofs in Advanced Calculus
• How to Prove the Triangle, Reverse Triangle, and Bernoulli’s Inequality
• How to Prove Various Important Results Regarding Sequences
• How to Prove the Squeeze Theorem
• How to Prove a Sequence Converges
• How to Prove a Sequence Diverges
• How to Prove Results Regarding Cauchy Sequences
• How to Prove a Sequence is Cauchy
• How to Write a Delta Epsilon Proof
• How to Prove a Function is Continuous
• How to Prove a Function is Uniformly Continuous
• How to Prove Pointwise Convergence
• How to Prove Uniform Convergence
• How to Prove a Function is Differentiable
• How to Prove a Function is Not Differentiable
• Understand the Convergence of Infinite Series
• How to Use Dirichlet’s Test
• How to Find a Pointwise Limit
• How to Prove Various Key Results in Advanced Calculus

課程介紹

Is business calculus taking over your life? Join other 500+ students and pass business calculus with flying colors!

So…

Are you a business student frustrated by business calculus, finding it too hard, fast-paced and/or abstract?

Is learning busi

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哪些人適合這堂課？

• Students taking Business Calculus (aka Calculus for Business)

學習目標

• Find the derivative of any function confidently
• Apply derivatives in a wide variety of applications
• Find limits in a variety of common situations
• Find the integrals of functions