38 results
Adult education calculus lectures
Multivariable Calculus: Lecture Notes—Alexey A. Kryukov
University Mathematics Series—Multivariable Calculus: Lecture Notes—Alexey A. Kryukov
Subjects:
Grades:
11th - 12th, Higher Education, Adult Education
Derivative Rules - Full Lesson (PowerPoint)
This PowerPoint is a full lecture on the derivative rules commonly taught in AP Calculus AB, and college-level Differential Calculus or Calculus 1 courses. There are examples, sample scripts for the professor in the notes of the PowerPoint, and helpful images.In this lesson, students will discover how the derivatives are impacted when they add functions together, subtract one function from another, multiply functions, divide functions, and even compose functions!
Subjects:
Grades:
10th - 12th, Higher Education, Adult Education
CCSS:
Calculus 10TH Edition Ex 2.8 Completely solved
Calculus Anton Bivens Davis10TH EditionEx 2.8 Complete solution from Q No 1 to Q No 47. Answers are explained with diagramto elaborate the geometrical properties of the problem concerned.Solutiosare stepwise.
Subjects:
Grades:
11th - 12th, Higher Education, Adult Education, Staff
Intro to AP Calculus AB powerpoint
This is a slideshow that I give durring the first couple of days to my AP calculus students. It is meant to be a motivating pep talk reagarding the rigor of the course. It outlines classroom and course expectations in a fun, easy way.
Subjects:
Grades:
11th - 12th, Higher Education, Adult Education
BASIC CALCULUS
Covers Limits, Function continuity, Differentiation, Applications of Differentiation, Introduction to integration, and Applications of Integration.Topics:1. Limits i. Introduction to Limits ii. Finding Limits Graphically, Numerically & Algebraically iii. Function continuity2. Differentiation i. Using Limits to define the derivative of a function ii. Common derivative rules iii. Product rule iii. Quotient rule iv. Chain rule v. The process of Implicit differentiation iv. Der
Energy, Momentum and the Conservation Laws (ppt & pdf)
This collection of materials supports an Advanced Placement Physics of Mechanics with Calculus course. The focus of this unit is on Mechanical Energy, Momentum and the Conservation Laws of Physics. The materials contain 14 presentations in power point (.ppt) and in portable document format (.pdf). The presentations are designed to spark discussion, thought and insights to help students engage and master the material needed to do well on the exam. There are 514 slides, an estimation activity wi
Grades:
10th - 12th, Adult Education
Calculus III Vectors Unit Full Notes Bundle - SMART Notebook Files
These smart notebook slides cover my entire first unit of Calculus III that I teach. Everything from vector basics to cross product corollaries are here. These notes will work as long as you have smart notebook installed on your computer. The notes come with full solutions and interactive features such as screen shading.
Subjects:
Grades:
11th - 12th, Higher Education, Adult Education
Power Series Representations (Scaffolded + Full Notes) - Integral Calculus
This Integral Calculus lecture (pdf) introduces the students to the topic of Power Series Representations.Sub-topics included are:Expressing functions as the sum of a power series by starting with the power series for 1/(1-x)Expressing functions as the sum of a power series by differentiating/integrating the power series for 1/(1-x)Plus: many examples regarding these topics throughout.The first 6 pages are filled-in version of the lecture notes to be used by the instructor.The last 6 pages is a
Subjects:
Grades:
12th, Higher Education, Adult Education
Calculus : Student's self Discovery Activity on Limits at Infinity
Teaching Calculus without understanding the basic concept would just kill student's drive to study math!Here's a student self discovery activity on investigating Limits at infinity. My approach in this activity is a situation which will drive students to solve the problem, and discover limits at infinity on their own. Let your student discover and understand Calculus!Best to let your student work in pairs.
Subjects:
Grades:
9th - 12th, Higher Education, Adult Education
Types:
![Preview of AP CALCULUS AB - FIND THE ABSOLUTE EXTREMA [MAX/MIN] VALUES OF F(X)](https://ecdn.teacherspayteachers.com/cdn-cgi/image/format=avif,quality=70,width=525,height=525,onerror=redirect/thumbitem/AP-CALCULUS-ABSOLUTE-EXTREMA-VALUES-OF-F-X--2422259-1657302677/750f-2422259-1.jpg)
AP CALCULUS AB - FIND THE ABSOLUTE EXTREMA [MAX/MIN] VALUES OF F(X)
This lesson on finding the absolute extrema of a function is intended for students enrolled in AP Calculus AB or BC, Calculus Honors, or College Calculus.OBJECTIVES• Find absolute extrema using Maximum-Minimum Principle 1.• Find absolute extrema using Maximum-Minimum Principle 2.THEOREM : The Extreme Value TheoremA continuous function f(x) defined over a closed interval [a, b] must have an absolute maximum value and an absolute minimum value over [a, b].The highest value of y in the interval
Grades:
11th - 12th, Higher Education, Adult Education, Staff
Types:
Also included in:Â BASIC CALCULUS
TRIGONOMETRY: THE REFERENCE TRIANGLE AND THE REFERENCE ANGLE
One of the most confusing topics to students when teaching trigonometry is the concept of reference angles and triangles. Many books do not tie this concept holistically so that students can understand how to compute the reference angle of any angle and also to come up with the reference triangle for that angle.This e-book will give both the teachers and the students the exact ideas that must be used to compute the reference angle of any angle. The first part of this e-book shows how to label th
Subjects:
Grades:
9th - 12th, Higher Education, Adult Education, Staff
Types:
Antiderivatives & Indefinite Integrals Lesson Notes (Calculus 2 AP BC)
This Integral Calculus lecture (pdf file) introduces the students to the concepts of antiderivatives and indefinite integrals.The following subtopics are included:List of derivatives which the students need to know before beginning the lecture.Definition of the antiderivativeGraphical reasoning for adding a constant C to an antiderivative to obtain the most general antiderivativeDefinition of the indefinite integralApplication in rectilinear motion (find the position function given the accelerat
Subjects:
Grades:
12th, Higher Education, Adult Education
Also included in:Â Calculus 2 Antiderivatives + Indefinite Integrals Lesson + Worksheet + Key
INTRODUCTION TO DERIVATIVES & ANTIDERIVATIVES
This lesson is intended to provide a general overview of the concepts of differentiation and integration. Knowledge of these concepts is required for students enrolled in AP Calculus AB or BC, Calculus Honors, or College Calculus.
Differentiation is the process of computing (finding) derivatives. A derivative is also called the instantaneous rate of change. It is also called the slope of the tangent line to a curve at a given point. The derivative of an equation tells us the rate of change (de
Subjects:
Grades:
10th - 12th, Higher Education, Adult Education, Staff
Types:
Also included in:Â BASIC CALCULUS
AP CALCULUS AB - RIEMANN SUMS AND THE AREA UNDER THE GRAPH OF A FUNCTION
This lesson on using Riemann sums to find the area under the graph of a function is intended for students enrolled in AP Calculus AB or BC, Calculus Honors, or College Calculus.The procedure outlined in this e-book is a step by step example on how one can approximate the net area between the x-axis and the curve y=f(x) for a ≤ x ≤ b using Riemann Sums. Given any continuous function f(x), and the values a, b and n, the number of subintervals, it is possible to approximate the area under the curv
AP CALCULUS AB: THE PROCESS OF IMPLICIT DIFFERENTIATION
The process of implicit differentiation is also another very difficult topic for students to grasp in the first level of calculus.This document will be useful especially to teachers who teach AP Calculus and those teaching the first level of calculus in college.In this electronic document, I have provided a simple outline showing how the process is used and when it is applicable. Most students taking AP calculus will have studied conic sections by this time. The derivatives of hyperbolas, parabo
Subjects:
Grades:
11th - 12th, Higher Education, Adult Education, Staff
Types:
Also included in:Â BASIC CALCULUS
Curve Sketching Lecture (Differential Calculus 1 Lesson Notes)
This handout is meant as an in-class activity for curve sketching in a differential calculus course. The first few pages contains a review of curve sketching.The curve sketching topics covered are: domainx,y interceptshorizontal asymptotes (using limits)vertical asymptotes (using limits)increasing/decreasing (using first derivative)local max/min (first derivative test)concavity (using the second derivative)inflection pointssketch the graph of the function using all the above informationThe rest
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Grades:
12th, Higher Education, Adult Education
Types:
Also included in:Â BUNDLE: Differential Calculus 1 Lecture Notes / Lessons
AP CALCULUS AB: FINDING A DERIVATIVE BY USING THE CHAIN RULE
The Chain Rule:The Chain rule is the process of finding the derivative of a function composition.At the end of the lesson, the student should be able to:1. Outline the process of function decomposition2. Identify the outer and inner functions of a function composition3. Find the derivative of outer and inner functions of a function decomposition4. Apply Chain rule to find the derivative of the original function
Grades:
11th - 12th, Higher Education, Adult Education, Staff
Types:
Also included in:Â BASIC CALCULUS
AP CALCULUS: The Definition of the derivative
This document introduces learners to the derivative of a function as given in calculus. The concept of limits is used to define the derivative.
This means that anyone who uses this document has already viewed the document relating to the concept of the limit of a function.
The derivative is understood to the rate of change of function. Other books refer it as the instantaneous rate of a function or the slope formula of a function.
The document is essential for high school AP calculus students.
Subjects:
Grades:
11th - 12th, Higher Education, Adult Education
Also included in:Â BASIC CALCULUS
AP CALCULUS BC: PROVING THE DERIVATIVES OF TRIG FUNCTIONS
In this document, we present proofs for the derivatives of all the six basic trigonometric functions.The six basic trigonometric functions are:1. y = sinx2. y = cosx3. y = tan x4. y = sec x5. y = cotx6. y = cscx
Day 1 Calculus III Smart Notebook Slides
These smart notebook slides cover my first day of class in Calculus III. This day covers the basics of the 3D coordinate system.These notes will work as long as you have smart notebook installed on your computer. The notes come with full solutions and interactive features such as screen shading.
Subjects:
Grades:
11th - 12th, Higher Education, Adult Education
Also included in:Â Calculus III Vectors Unit Full Notes Bundle - SMART Notebook Files
2:57
calculus_Implicit differentiation video
In this video, I tried to solve an implicit differentiation problem.
Subjects:
Grades:
10th - 12th, Higher Education, Adult Education
THE GEOMETRIC Series
A GEOMETRIC Series
Whenever a series of numbers follow a pattern of multiplying a term by a constant each term to arrive at the next term, we regard such a sequence as a geometric sequence. The constant multiplied each time is the same. This fixed constant that is being multiplied to arrive at the next term is called the common ratio, r, referring to the fact that the ratio (fraction) of the second term to the first term yields this constant. To find the common ratio, divide the second term b
Subjects:
Grades:
9th - 12th, Higher Education, Adult Education, Staff
Types:
Also included in:Â ALGEBRA I & II BUNDLED NOTES FOR ONLINE TEACHERS
AP CALCULUS AB - APPLICATIONS OF DERIVATIVES: OPTIMIZATION
This lesson on applications of derivatives is intended for students enrolled in AP Calculus AB or BC, Calculus Honors, or College Calculus. In this e-book, we present a few examples of derivatives.We discuss the distance, velocity and acceleration functions.Additionally, some basic optimization problems are examined.This document will provide some clear examples that AP Calculus BC teachers will enjoy to share with their students. The examples presented are very vivid and should be very convinci
AP CALCULUS AB- FINDING LIMITS GRAPHICALLY
This lesson on finding Limits and function Continuity is intended for students enrolled in AP Calculus AB or BC, Calculus Honors, or College Calculus. What is a limit?A limit of a function is the idea of looking at what happens to the y values of a function as x approaches particular values of x. In this discussion of limits, we are trying to find out what the y values tend to as x approaches some x value, say x=a, from either the left side or the right side hand side of the graph.In this unit,
Subjects:
Grades:
10th - 12th, Higher Education, Adult Education, Staff
Also included in:Â AP CALCULUS AB - FINDING LIMITS & FUNCTION CONTINUITY (BUNDLED LESSONS)
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