Name: The Limit of a Function
Uploaded: 2023-06-03T05:57:45.577Z
Duration: 19 min 19 s
Description: Ms. Roshan's AP Calculus AB Videos - Based on Stewart's Concepts & Contexts Definition of a limit Find the limit using a graphing calculator Find the limit algebraically Find the limit graphically One-sided limits Limit of the absolute value function

Ms. Roshan's AP Calculus AB Videos - Based on Stewart's Concepts & Contexts

Definition of a limit
Find the limit using a graphing calculator
Find the limit algebraically
Find the limit graphically
One-sided limits
Limit of the absolute value function

Math

Educator | Author of #TechWithHeart | TED-Ed Talker | Keynote Speaker | #Edtech & Innovative Teaching Consultant

I have been in education for over 15 years. I have worked as a math teacher and director of educational technology. In my math teaching, I have taught courses ranging from Algebra 1 through AP Calculus AB (13 years of experience teaching AP Calc). I have taught students face-to-face, using a flipped classroom model, and in a purely online format. I have been creating instructional videos for students and teachers since 2010 and my videos have over 3 million views on YouTube.

I am passionate about discovering and sharing innovative ways to leverage technology to cultivate deeper compassion in the classroom and provide each learner the optimal platform to express their ideas in a format that best fits their learning style. I aim to equip teachers with ideas and tech tools to create more inclusive, equitable, and empowering classrooms for every student to find their voice, build their confidence, and take ownership of their learning. In my math teaching, I continue to enjoy improving my flipped and online teaching models and tutoring students virtually and through video. 

The Limit of a Function

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Ms. Roshan's AP Calculus AB Videos -- Based on Stewart's Calculus: Concepts & Contexts

Definite Integrals
Integration
Approximate integration
Riemann Sums
Left endpoints
Right endpoints
Midpoint rule

AP Calculus

The Definite Integral

Ms. Roshan's Algebra 2 Class Videos -- Based on McDougal Littell's Algebra 2

Properties of rational exponents
Fractional exponents
Rationalize the denominator
Adding, subtracting, multiplying, and dividing with exponents
Simplifying rational exponents
Radicals, roots

Apply Properties of Rational Exponents

Ms. Roshan's Algebra 2 Class Videos -- Based on McDougal Littell's Algebra 2

Graph absolute value functions
Horizontal shift
Vertical shift
Stretch and reflect
Transformation of graphs

Use Absolute Value Functions and Transformations

4.2 - Graph Quadratic Functions in Vertex or Intercept Form
Quadratic function in vertex form
Axis of symmetry

Ms. Roshan's Algebra 2 Class Videos -- Based on McDougal Littell's Algebra 2

Graph Quadratic Functions in Vertex or Intercept Form

Given f, draw f'
Given f', draw f

Curve sketching, Derivative sketching, Antiderivative sketching

Inflection point, concavity, max/min, slope, increasing/decreasing slope/function
Calculus



Sketch the Derivative and Antiderivative

The Limit Laws
Additional Properties of Limits
Direct Substitution Property
The Squeeze Theorem
Multiply by the conjugate / rationalize the radical

Ms. Roshan's AP Calculus AB Videos - Based on Stewart's Calculus: Concepts & Contexts


Calculating Limits Using the Limit Laws (including the squeeze theorem)

Calculus, Derivatives, Differentiate
The Power Rule
The Constant Multiple Rule
The Sum Rule, The Difference Rule
Normal Line, Tangent Line
Derivative of exponential functions
Derivative of the Natural Exponential Function
Where is the tangent line horizontal?

Ms. Roshan's AP Calculus AB Videos -- Based on Stewart's Calculus: Concepts & Contexts

Derivatives of Polynomials and Exponential Functions

Approximate the area under the curve
Riemann Sums
Estimate area under curve using: left endpoints, right endpoints, and midpoint approximations

Ms. Roshan's AP Calculus AB Videos -- Based on Stewart's Calculus: Concepts & Contexts

Areas & Distances: Riemann Sums, Right Endpoints/Left Endpoints/Midpoints

Calculus: Find the Tangent Line & Instantaneous Velocity Given a Table

Calculate the tangent line given a table
Calculate the instantaneous velocity given a table
An introduction to the tangent line & instantaneous velocity in Calculus 

Ms. Roshan's AP Calculus AB Videos - Based on Stewart's Calculus: Concepts & Contexts