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High school calculus resources for GATE

Preview of Calculus III - Double/Triple Integrals HW Bundle and Solutions

Calculus III - Double/Triple Integrals HW Bundle and Solutions

This bundle includes all the HWs and solutions I use for double and triple integral lessons in Calculus III. The problems range in difficulty from standard double integrals over rectangular regions to more complex proof based questions such as proving pi is equivalent to the double integral of the Gaussian Surface over the real plane. The detailed solutions are attached to each assignment.
Preview of TI-84 Helper:  A Guide to the TI-84 Especially for the AP Calculus Student

TI-84 Helper: A Guide to the TI-84 Especially for the AP Calculus Student

Created by
LVPhyMath
This is a quick 10 page guide to the TI-84 calculator. It goes step by step through all the main operations you need to be able to perform on your calculator in order to obtain a "5" on the AP Calculus Exam. This helper pamphlet was written by a calculus student for calculus students - simply to help out - and by the way... he got a "5"!
Preview of Calculus III - Multivariable Limits HW and Solutions

Calculus III - Multivariable Limits HW and Solutions

This is a nightly homework assignment designed for a Calculus III class. It includes ten different multivariable limit problems and fully worked solutions. The questions range in difficultly from simple substitution to utilizations of the squeeze theorem. The assignment comes with detailed solutions in the same pdf so you may have to use a free website like pdfescape to split the solutions from the homework assignment.
Preview of Calculus III - Triple Integral Practice HW and Solutions

Calculus III - Triple Integral Practice HW and Solutions

This is a nightly homework assignment designed for an Calculus III class. It includes different problems associated with triple integrals. Some questions are straight forward just solve this triple integral problems, while others ask you to prove some statement about the volume of a solid by utilizing triple integrals. The assignment comes with detailed solutions in the same pdf so you may have to use a free website like pdfescape to split the solutions from the homework assignment.
Preview of Algebra 2 - Finding Horizontal Asymptotes Using Limits

Algebra 2 - Finding Horizontal Asymptotes Using Limits

This is a nightly homework assignment designed for an Algebra 2 or Precalculus class. It includes problems where students are asked to use limits at infinity to identify the horizontal asymptotes of various rational functions.The assignment comes with detailed solutions in the same pdf so you may have to use a free website like pdfescape to split the solutions from the homework assignment.
Preview of Common Multiples - Board Game

Common Multiples - Board Game

Created by
Learning is Fun
It is a board game where children have to find the common multiples of 2 different numbers or more.All you need is a dice (1 for each group) and a counter (1 for each student).Children will enjoy practicing what they have learnt during the lesson by involving themselves in this educational board game.
Preview of Calculus III - Double Integrals HW and Solutions

Calculus III - Double Integrals HW and Solutions

This is a nightly homework assignment designed for Calculus III class. It includes questions related to double integrals. Some questions are fairly straight forward, but eventually become more complicated. The most difficult problems here require students to use symmetry and/or a change of orders of integration to solve.The assignment comes with detailed solutions in the same pdf so you may have to use a free website like pdfescape to split the solutions from the homework assignment.
Preview of Calculus III - Double Integrals Over General Regions HW and Solutions

Calculus III - Double Integrals Over General Regions HW and Solutions

This is a nightly homework assignment designed for Calculus III class. It includes double integral problems which I use as HW for my second day of double integral practice. These are more nonstandard problems such as having to break up the region into multiple double integrals and then adding the results together or having to switch orders of integration. The assignment comes with detailed solutions in the same pdf so you may have to use a free website like pdfescape to split the solutions from
Preview of Differential Equations - Extra Credit Induction Proof Involving Laplace Transf.

Differential Equations - Extra Credit Induction Proof Involving Laplace Transf.

This is an extra credit assignment I use for my Differential Equation class. It involves a very wild Laplace transform that is actually tied to the Gamma Function. I do not ask students to see that connection, rather I expect them to be able to prove this transform holds using Induction. The problem is very complex and deep, it is a really fun proof and uses some nontrivial Calculus III along the way too. Attached is the problem statement and a very thorough multipage solution.The assignment com
Preview of Differential Equations - Power Series Solutions HW and Solutions

Differential Equations - Power Series Solutions HW and Solutions

This is a nightly homework assignment designed for Differential Equations class. It includes 5 very long and gnarly differential equations to solve. Each problem uses power series solutions to solve. These are some of the trickiest problems students have to solve in their first go around with differential equations. Each problem comes with a thorough solution detailing all steps being taken.The assignment comes with detailed solutions in the same pdf so you may have to use a free website like pd
Preview of Differential Equations - Nonconstant Coef. ODEs with Laplace HW and Solutions

Differential Equations - Nonconstant Coef. ODEs with Laplace HW and Solutions

This is a nightly homework assignment designed for a Differential Equations class. It includes various nonconstant coefficient ODEs you would need to use Laplace transforms to solve. Each problem is rather large, but all problems comes with detailed solutions showing each step.The assignment comes with detailed solutions in the same pdf so you may have to use a free website like pdfescape to split the solutions from the homework assignment.
Preview of Differential Equations - Mixed Higher Order ODEs HW and Solutions

Differential Equations - Mixed Higher Order ODEs HW and Solutions

This is a nightly homework assignment designed for a Differential Equations class. It includes a mix of problems associated with higher order ordinary differential equations (2+). All versions of the discriminant are assessed on in the solution of the auxiliary equations.The assignment comes with detailed solutions in the same pdf so you may have to use a free website like pdfescape to split the solutions from the homework assignment.
Preview of Differential Equations - Separation of Variables and Int. Factor HW/Solutions

Differential Equations - Separation of Variables and Int. Factor HW/Solutions

This is a nightly homework assignment designed for a Differential Equations class. It includes various differential equations which a student would have to use Separation of Variables or Integration Factor to solve. Knowledge of parts and u sub is required throughout.The assignment comes with detailed solutions in the same pdf so you may have to use a free website like pdfescape to split the solutions from the homework assignment.
Preview of Calculus III - Double Integrals Involving Polar Coordinates HW and Solutions

Calculus III - Double Integrals Involving Polar Coordinates HW and Solutions

This is a nightly homework assignment designed for Calculus III class. It includes double integral problems that all require a polar coordinate transformation to solve. This problem set includes one of my favorite problems I teach in Calculus III, i.e. the one where students are asked to prove that the double integral over the real plane of the Gaussian surface is equivalent to pi. The assignment comes with detailed solutions in the same pdf so you may have to use a free website like pdfescape t
Preview of Calculus III: Using Triple Integrals to Solve Middle School Math Problems HW/Sol

Calculus III: Using Triple Integrals to Solve Middle School Math Problems HW/Sol

This is a nightly homework assignment designed for Calculus III class. It includes one of my favorite assignments I give all year, proving middle school volume formulas using triple integrals. This assignment asks students to show things like the volume formula for a cylinder of arbitrary radius holds, but the twist is they have to do this in different coordinate systems. This really helps students see just how powerful different coordinate systems are when it comes to evaluating triple integral
Preview of Geometric Mean - beyond right triangles

Geometric Mean - beyond right triangles

Created by
Idempotent
Geometric mean is a topic in geometry that is only used to calculate a pointless length in right triangles. It is a throwaway topic, right? If your students are tired of having their time wasted memorizing calculations they will never use again, they will be demanding to know why they should learn about the geometric mean. Included are three mini-lessons -- one each for geometry honors, precalculus honors, BC calculus. You are saying, "But I only teach, geometry. Why would I bother paying f
Preview of Implicit Differentiation

Implicit Differentiation

Taking the derivative of a function with respect to x, by using implicit differentiation. This document includes at least 7 worked out examples followed by 20 problems to practice with. including at the end of document is the key to the problem set.
Preview of Position Time Lesson

Position Time Lesson

Created by
Kenneth Dollar
This Google Slide presentation includes Pear Deck slides. Provided are four examples of different position time graphs with detailed explanations of how the PT graph relates to the velocity and acceleration of the object being represented. We relate PT graphs to the Rate of Change (the derivative) of the line. Rate of change is explained as slope and is touched on again, briefly, in these slides.I found that this method of teaching Position Time graphs was the most effective method with my Fresh
Showing 1-18 of 18 results