28 results
Calculus lectures for staff
CALCULUS 1-Differentiation and Integration
Differentiation and Integration with Basic concepts, solved examples and real world applications.
Subjects:
Grades:
11th - 12th, Higher Education, Staff
Types:
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
Grade 12 Advanced Functions MHF4U Math Ch5 Trigonometry Lesson Notes Worksheets
The lesson notes provide learning goals for each subtopic which I find quite useful to students. I usually demonstrate an example to students and then let them work on similar questions. We will then take up the questions in class. The product includes LESSON NOTES and PRACTICES on the following topics:Trigonometric functionsGraphs of sine, cosine and tangent and their reciprocals, Sinusoidal functions of the form f(x) = a sin [k(x-d)]+c, Solve trig. Equations, Making connections and instantaneo
Subjects:
Grades:
10th - 12th, Higher Education, Staff
Types:
Finding the concavity, inflection points and relative extrema of functions
This power point presentation is about the concepts and theorems involved in finding the concavity, inflection points and relative extrema of functions. It includes examples of problems , their solution and activities for students preparing to take the AP Calculus exam.
Subjects:
Grades:
11th - 12th, Higher Education, Staff
Grade 12 Advanced Functions MHF4U Math Ch1 Polynomial Lesson Notes Worksheets
The lesson notes provide learning goals for each subtopic which I find is quite useful to students. I usually demonstrate an example to students and then let them work on similar questions. We will then take up the questions in class. The product includes lesson notes and practices on the following topics:Polynomial functionsCharacteristics of polynomial functionsEquations and graphs of polynomial functionsTransformationsSlopes of secants and tangentsIt also comes with THREE QUIZZES.The notes ar
Subjects:
Grades:
10th - 12th, Higher Education, Staff
Types:
Grade 12 Functions MHF4U Math Ch7 Exponential Logarithm Lesson Notes Worksheets
The lesson notes provide learning goals for each subtopic which I find quite useful to students. I usually demonstrate an example to students and then let them work on similar questions. We will then take up the questions in class. The product includes LESSON NOTES and PRACTICES on the following topics:Exponential and Logarithmic EquationsEquivalent forms of exponential equations, solving exponential equations, product and quotient laws of logarithm, solving logarithmic equationsThe notes are su
Subjects:
Grades:
10th - 12th, Higher Education, Staff
Types:
Grade 11 Functions MCR3U Math Ch7 Annuities Lesson Notes Worksheets
The lesson notes provides learning goals for each subtopic which I find is quite useful to students. I usually demonstrate an example to students and then let them work on similar questions. We will then take up the questions in class. The product includes lesson notes and practices on the following topics:Simple interestCompound interest: Future ValueCompound Interest: Present ValueAnnuities: Future ValueAnnuities Present ValueThe notes are suitable for Grade 11 Functions based on Textbook:Nels
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Grades:
10th - 12th, Higher Education, Staff
Types:
Grade 11 Functions MCR3U Math Ch1 Introduction Lesson Notes Worksheets (Full)
In-class notes to demonstrate each answer step by step Answers to the lesson notes are available upon request The product includes lesson notes and practices on the following topics:Domain and RangeFunction NotationMaximum and Minimum point(s) of Quadratic FunctionsRadicals Solving Quadratic EquationsDetermining Quadratic EquationsDetermining Quadratic EquationsSolving Linear-quadratic SystemsThe notes are suitable for Grade 11 Functions based on Textbook:Nelson (and/or)McGraw-Hill______________
Subjects:
Grades:
10th - 12th, Higher Education, Staff
Types:
Grade 11 Functions MCR3U Math Ch5 Sinusoidal Functions Lesson Notes Worksheets
The lesson notes provides learning goals for each subtopic which I find is quite useful to students. I usually demonstrate an example to students and then let them work on similar questions. We will then take up the questions in class. The product includes lesson notes and practices on the following topics:periodic functions and their propertiesproperties of sinusoidal functionstransformations of sinusoidal functionssketching graphs of sinusoidal functions using transformationsSolving problems u
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Grades:
10th - 12th, Higher Education, Staff
Types:
Grade 12 Functions MHF4U Math Ch6 Exponential Logarithm Lesson Notes Worksheets
The lesson notes provide learning goals for each subtopic which I find quite useful to students. I usually demonstrate an example to students and then let them work on similar questions. We will then take up the questions in class. The product includes LESSON NOTES and PRACTICES on the following topics:Exponential and logarithmic functionsExponential function and its inverse, logarithm, Transformation of logarithmic functions, Power Law of logarithmIt comes with ONE TEST.The notes are suitable f
Subjects:
Grades:
10th - 12th, Higher Education, Staff
Types:
Grade 12 Advanced Functions MHF4U Math Ch4 Trigonometry Lesson Notes Worksheets
The lesson notes provide learning goals for each subtopic which I find quite useful to students. I usually demonstrate an example to students and then let them work on similar questions. We will then take up the questions in class. The product includes LESSON NOTES and PRACTICES on the following topics:TrigonometryRadian measure, Trigonometric ratios and special angles, Compound angle formulas, Proof of trig identities, equivalent trig. ExpressionsThe notes are suitable for Grade 12 Advanced Fun
Subjects:
Grades:
10th - 12th, Higher Education, Staff
Types:
Grade 12 Advanced Functions MHF4U Math Ch2 Inequalities Lesson Notes Worksheets
The lesson notes provide learning goals for each subtopic which I find quite useful to students. I usually demonstrate an example to students and then let them work on similar questions. We will then take up the questions in class. The product includes LESSON NOTES and PRACTICES on the following topics:Polynomial equations and inequalitiesReview of factoring and GAMERemainder Theorem, Factor theorem, Polynomial equations, Families of functions, Solve factorable polynomial inequalities algebraica
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Grades:
10th - 12th, Higher Education, Staff
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:
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
Differentiation
Apply differentiation to gradients, tangents and normals, increasing
and decreasing functions and rates of change (including connected
rates of change);locate stationary points, and use information about stationary points in sketching graphs (the ability to distinguish between maximum points and minimum points is required, but identification of points of inflexion is not included).
The unit includes:
1) The Limit & Differentiation
2) The Derivative and Tangent Line Problem
3) Basic Differ
Subjects:
Grades:
11th - 12th, Higher Education, Staff
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
Grade 11 Functions MCR3U Math Ch6 Sequence & Series Lesson Notes Worksheets
The lesson notes provides learning goals for each subtopic which I find is quite useful to students. I usually demonstrate an example to students and then let them work on similar questions. We will then take up the questions in class. The product includes lesson notes and practices on the following topics:Arithmetic SequencesGeometric SequencesRecursive SequencesCreating sequencesArithmetic SeriesGeometric SeriesRelationship between Pascal's Triangle and Binomial ExpansionsThe notes are suitabl
Subjects:
Grades:
10th - 12th, Higher Education, Staff
Types:
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
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 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
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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