- Course type: Self-paced
- Available Lessons: 106
- Average Lesson Length: 8 min
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Watch a preview:chapter 1 / lesson 1What is a Function: Basics and Key Terms
Course SummaryIf you've fallen behind in class or wish to raise your grade, take a look at our easy-to-understand Intro to Calculus course. Our brief lessons covering limits, differential equations and other calculus concepts can help you easily complete your homework and ace your tests and quizzes.
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About This Course
Calculus can be challenging for anybody. The chapters in this course breakdown the essential concepts of calculus into 'bite size' videos, each 5-10 minutes long, that you can watch as many times as you need to conquer the material before moving on. Each lesson has a short quiz to make sure you understand what you set out to learn. If you have any questions, you may submit them to our subject-matter experts.
|Graphing and Functions||Understand and graph various types of functions, explain and use the properties of exponentials, define and calculate graphed slopes and tangents, use a graph to determine the equation for a line and more.|
|Continuity||Define continuity, graph discontinuities from equations, explain and apply the intermediate value theorem and more.|
|Geometry and Trigonometry||Learn to visualize geometry problems, calculate the volume of basic shapes, apply the Pythagorean theorem and graph sines and cosines and more.|
|Using Scientific Calculators||Discover basic functions of scientific calculators, how to work with exponentials and trigonometry functions with a scientific calculator and how to graph using a scientific calculator.|
|Limits||Define and identify limits graphically and numerically, solve limits, define and apply the squeeze theorem, define limits for asymptotes and infinity and more.|
|Rate of Change||Define and graph the derivative, relate velocity, slopes and tangents to rate of change and understand Rolle's and mean value theorems and more|
|Calculating Derivatives and Derivative Rules||Calculate and graph derivatives and second derivatives, learn when to use the quotient rule and more.|
|Graphing Derivatives and L'Hopital's Rule||Graph a derivative from any function, explain and identify functions from derivatives, determine concavity, inflection points and maximum and minimum values, explain and use L'Hopital's rule and more.|
|Applications of Derivatives||Define and use linearization to estimate functions, define and use Newton's method, compare and contrast optimization and differentiation and optimize simple and complex systems.|
|Area Under the Curve and Integrals||Identify and draw types of sums, write a Riemann sum, understand the trapezoid rule, define and use the average value theorem and the fundamental theorem of calculus, define definite and indefinite integrals and understand their relationship with derivatives and more.|
|Integration and Integration Techniques||Calculate definite and indefinite integrals of various shapes and functions, use substitution to solve integration problems and solve improper integrals and more.|
|Integration Applications||Use integration to find location, enclosed areas, area between two functions, volumes and more.|
|Differential Equations||Understand differential notation, solve system differential equations using separation of variables and solve problems involving population dynamics, draining tanks and distance between moving parts and more.|
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