Limits and Introduction to Calculus notes
38 notes by 31 users
This page gathers over 30 community-made notes, from limits and continuity to differentiation and integration. University students and professional candidates, school students, and teachers can use them to practice calculus topics at school and university level. Choose a note and start studying.
Notes
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What is Integration?
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Leaving Cert Maths Paper 1 2013 A stadium can hold 25 000 people. People attending a regular event at the stadium must purchase a ticket in advance. When the ticket price is €20, the expected attendance at an event is 12 000 people. The ...
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A-Level Maths: Core Mathematics Prove that the rectangle of greatest perimeter which can be inscribed in a given circle is a square. The result changes if, instead of maximising the sum of lengths of sides of the rectangle, we seek to maximise the s...
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Differentiation past exam notes
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Maths AP Logs and Algebra logX cannot be ln cannot be therefore look for asymptotes in this regard with graphs ln graph is similar to log graph, e graph is similar to exp. Basic log rules adding two logs is muliplying their 'X...
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Integration notes
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Differentiation Basic rules of differentiation Differentiation tells us about the gradient of tangents, the derivative and the rate of change. To differentiate: Multiply the number at the start by the power and reduce the power...
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Differentiation assessment criteria Differentiation 3.6 6 credits mock exams achieved 10 Achievement You need to apply differentiation methods in solving problems. This could involve: selecting and using methods demonstrating knowledge of geometric conc...
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Differentiation Rules
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Calc II Final Review Topics to Know for Calc. II Final Integrals: Two types: Definite and Indefinite 1. Definite: ∫ f(x) dx (b on top and a on the botto...
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Differentiation
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Differentiation - created from Mind Map Why? To find the gradient of a curve at a point How to differentiate? The gradient of a function has different names
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Limits Reminders If the left-hand limit of a function is not equal to the right-hand limit of the function, then the limit does not exist.If the highest power of x in a rational expression is in the numerator, then the limit...
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Continuity Reminders Condition 1: f(c) existsCondition 2: the limit of x as it approaches c f(x) existsCondition 3: the limit of x as it approaches c f(x) = f(c) A jump discontinuity occurs when the curve "breaks" at a particula...
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Calculus pathways - created from Mind Map Integration Differentiation Mathcentre's Calculus Refresher booklet
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Coordinate transformation for \(\nabla^2\) operator
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MAT 210 Exam 2 - created from Mind Map 11.4,11.5,11.6,12.1,12.2,12.3,12.5,12.6 11.4 - The Chain Rule 11.5 - Derivatives of Logarithmic and Exponential Functions
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Integration IntroductionThe gradient function is a formula for the gradient at any point on the curve.The process of finding the original function f(x); when you know dy/dx (or f '(x) is called integration.We have to integrate th...
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Untitled polar curves slopes arc-lengths and areas of polar curves tanw = f(thetha) /f`(thetha)area bounded by part of polar curve drawn.maybe a 4-leaf rose , find the value of thetha for which one...
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AP Calculus AB Analytic Geometry Calculating Distance via Distance FormulaUse it to calculate distance for both lines and vectors.Formula: d = √ (x2-x1) ² + (y2-y1) ² 3 Forms of Linear Functions/Equations1) Functional/Standard : y=m...
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Calculus - created from Mind Map integration differentiation Mathcentre's Calculus Refresher
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maths- PC1- Differentiation
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LU1 Differentiation - created from Mind Map Derivative of a Function Rules of Functions Differentiation of Exponential, Logarithmic and Trigonometric Functions
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Limits and Continuity - creado desde un Mapa Mental Rates of change and Tanget Lines Limits Involving Infinity Rates of change and Limits
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Limits and Continuity - creado desde un Mapa Mental Limits involving infinity Continuity Rates of change and limits
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INTEGRATION STRATEGIES - created from Mind Map Simplify the integral Does substitution work? Try again, dongibab kipidap
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Integration Strategy 3 - created from Mind Map Simplify Substitute Classify
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1_Integration Strategy 3 - created from Mind Map Simplify Substitute Classify
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Integration by Parts The Product Rules states that if f and g are differential functions, then the derivative of f and g is: [f(x)g(x)] = f(x)g'(x) + g(x)f'(x)This formula can be rearranged to form the formula for integration by parts. It...
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Mathematics 2.7 Apply calculus methods in solving problems Subject content • Sketching gradient function graphs • Gradients at a point • Differentiation • Tangents • Turning points (maxima and minima) • Rates of change ◦ Distance/speed/acceleration • Anti-differentiation (int...
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APPLICATION OF POSITION,VELOCITY AND ACCELERATION ( INTEGRATION) - created from Mind Map PROBLEM STATEMENT OBJECTIVE TEORY
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INTEGRATION - created from Mind Map USE OF INTEGRATION DEFINITION Integration is the calculation of an integral . Integrals in maths are used to find many useful quantities such as areas, volumes , displacement
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LA QUIMICA - created from Mind Map LA MATERIA PROPIEDADES FISICAS PROPIEDADES QUIMICAS
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Application of Differentiation and Integration in Enggineering - created from Mind Map Differentiation Integration Related Rates
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Indeterminate Forms and L’Hôpital’s Rule with Infinity Limits
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2.2 if the limits from the left != the limit from the reight the limits not exist tutorial
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First lesson
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Differentials
More Limits and Introduction to Calculus resources
About limits and introduction to calculus notes
GoConqr OriginalLimits and introduction to calculus notes
These notes offer ways to study individual topics and work through examples. Limits discusses one-sided limits, while Continuity sets out conditions for continuity and describes jump discontinuities. Other notes cover differentiation, integration and calculus exam material.
How to use the notes
For a focus on differentiation, start with Differentiation Rules. It introduces the power rule and includes examples, giving you a place to look before working through problems. For integration, the introductory note covers basic functions, the power rule and constants of integration. You can also find a note on integration by parts.
As you read, write down a rule and work through an example without looking at the explanation. Return to the note if you get stuck. When you want a different way to check or organize what you have studied, switch to a quiz, mind map or flashcards on the unit page.
Pick a topic and explore the notes that interest you.
Frequently asked questions
Which note is a useful starting point for differentiation?
Start with Differentiation Rules if you want to look at the power rule and examples. Work through an example as you read, then try it again without looking at the note. You can also explore the other differentiation notes for applications and exam preparation.
Do the notes cover more than differentiation?
Yes. The list also includes notes on limits, continuity and integration. The Limits note discusses one-sided limits, and Continuity describes conditions for continuity. For integration, you can find an introductory note as well as notes on integration strategies and integration by parts.
Are these notes free to use?
Yes. Every note listed here is free to open and study without an account. The resources were made by GoConqr users. If you choose to create a free account, you can also make your own notes, quizzes, mind maps and flashcards, and save your quiz scores.