13 results
Higher education calculus resources for GATE
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.
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Grades:
11th - 12th, Higher Education, Adult Education
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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.
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Grades:
11th - 12th, Higher Education, Adult Education
Types:
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.
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Grades:
11th - 12th, Higher Education, Adult Education
Types:
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.
Subjects:
Grades:
11th - 12th, Higher Education, Adult Education
Types:
Also included in:Â Calculus III - Double/Triple Integrals HW Bundle 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.
Subjects:
Grades:
11th - 12th, Higher Education, Adult Education
Types:
Also included in:Â Calculus III - Double/Triple Integrals HW Bundle 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
Subjects:
Grades:
11th - 12th, Higher Education, Adult Education
Types:
Also included in:Â Calculus III - Double/Triple Integrals HW Bundle and Solutions
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
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
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Grades:
11th - 12th, Higher Education, Adult Education
Types:
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.
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Grades:
11th - 12th, Higher Education, Adult Education
Types:
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.
Subjects:
Grades:
11th - 12th, Higher Education, Adult Education
Types:
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
Subjects:
Grades:
11th - 12th, Higher Education, Adult Education
Types:
Also included in:Â Calculus III - Double/Triple Integrals HW Bundle and Solutions
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
Subjects:
Grades:
11th - 12th, Higher Education, Adult Education
Types:
Also included in:Â Calculus III - Double/Triple Integrals HW Bundle and Solutions
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.
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