Website
Harvey Mudd College

Harvey Mudd College: Tutorials Hmc Calculus Tutorial

For Students 9th - 10th
This site has tutorials on pre calculus and calculus. The integration tutorial is under the name antiderivative
Unit Plan
Cuemath

Cuemath: Differential Equation

For Students 9th - 10th
A comprehensive guide for learning all about differential equations with definitions, differential equation formulas, methods to solve them, their applications, solved examples, and practice questions.
Website
Mathematics Archives

Math Archives: Calculus at the University of Tennessee Knoxville: 142 Table of Contents

For Students 9th - 10th
At this site the student can move to sites on various topics in calculus. The site then has a link to both a tutorial and example site
Handout
University of California

University of California, Davis: The Calculus Page

For Students 9th - 10th Standards
This site, from the University of California, provides several problems from beginning differential calculus, as well as beginning integral calculus. The problems can be accessed by clicking on the link, and the information provided is...
Whiteboard
ClassFlow

Class Flow: The Fundamental Theorem of Calculus

For Teachers 9th - 10th
[Free Registration/Login Required] Although inverse operations, the two major branches of calculus- differentiated calculus and integrated calculus- are closely related. This connection was discovered by Isaac Newton and Gottfried...
Online Course
Massachusetts Institute of Technology

Mit: Open Course Ware: Calculus (Textbook Study Guide)

For Teachers 9th - 10th
The online course consists of a study guide about calculus. Topics included are differentiation, vectors, infinite series, polar coordinates, and integration.
Online Course
Massachusetts Institute of Technology

Mit: Open Course Ware: Calculus (Textbook Instructor's Manual)

For Teachers 9th - 10th
The online course consists of a textbook instructor's manual about calculus concepts. Topics included are differentiation, vectors, infinite series, polar coordinates, and integration.
Online Course
Massachusetts Institute of Technology

Mit: Open Course Ware: Calculus (Textbook)

For Teachers 9th - 10th
The online course consists of a textbook about calculus concepts. Topics included are differentiation, vectors, infinite series, polar coordinates, and integration.
Online Course
Massachusetts Institute of Technology

Mit: Open Course Ware: Single Variable Calculus

For Teachers 9th - 10th
The online course consists of educational materials about single variable calculus. Video lectures, readings, syllabus, exams, and assignments are included.
Activity
BBC

Bbc: Differentiations

For Students 9th - 10th
This site presents a tutorial on the topic of differentiation. Points of focus include rules for differentiation, tangents to curves, derivatives, increasing and decreasing functions, and optimization. Examples and a practice test are...
Online Course
Massachusetts Institute of Technology

Mit: Open Course Ware: Calculus Ii

For Teachers 9th - 10th
The online course consists of educational materials about calculus with several variables. Lecture notes, syllabus, exams, and assignments with solutions are included.
Unit Plan
Khan Academy

Khan Academy: Exponential Models & Differential Equations

For Students 9th - 10th
This video, from Khan Academy, is about modeling different things with differential equations and this topic is well explained by modeling population.
Activity
Analyze Math

Analyze Math: Applications of Differential Equations

For Students 9th - 10th
Scholars examine applications of differential equations. Examples explore how differential equations are used to model population, Newton's law of cooling, and engineering systems.
Activity
Analyze Math

Analyze Math: Solve Second Order Differential Equations Part 2

For Students 9th - 10th
The tutorial examines second order differential equations. Topics investigated are real solutions, auxiliary equations, and how to solve second order differential equations. The resource includes examples with detailed solutions.
Activity
Analyze Math

Analyze Math: Solve Second Order Differential Equations Part 1

For Students 9th - 10th
The tutorial examines second order differential equations. Topics investigated are real solutions, auxiliary equations, and how to solve second order differential equations. The resource includes examples with detailed solutions.
Activity
Analyze Math

Analyze Math: Solve Second Order Differential Equations Part 3

For Students 9th - 10th
The tutorial explores second order differential equations. Topics investigated are complex solutions and how to solve second order differential equations. The resource includes examples with detailed solutions.
Activity
Analyze Math

Analyze Math: Implicit Differentiation

For Students 9th - 10th
The tutorial explores implicit differentiation. Examples and practice exercises with solutions are included.
Activity
Analyze Math

Analyze Math: Solve First Order Differential Equations

For Students 9th - 10th
The tutorial investigates solving first order differential equations. The resource consists of examples with detailed solutions.
Activity
Analyze Math

Analyze Math: Solve Simple Differential Equations

For Students 9th - 10th
Scholars examine how to solve simple differential equations. The resource consists of examples with detailed solutions.
Activity
Texas Instruments

Texas Instruments: Piecewise Functions: Continuous Differentiable

For Teachers 9th - 10th
This activity takes a discontinuous, piecewise defined function and redefines it to make it continuous and differentiable at the point of discontinuity.
Activity
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Topic Summaries: Techniques of Differentiation

For Students 9th - 10th
The topic summary outlines techniques of differentiation. Some topics reviewed are product rule, quotient rule, chain rule, and implicit differentiation. The resource consists of definitions, notes, and examples.
Activity
Texas Instruments

Texas Instruments: Solving Differential Equations Using Euler

For Teachers 9th - 10th
This activity involves using the graphing calculator to find an approximate solution to a differential equation with Euler's Method, find the actual solution to the differential equation, and compare the two solutions.
Activity
Texas Instruments

Texas Instruments: Slope Fields and Euler's Method for Ap Calculus

For Teachers 9th - 10th
In this activity students use Computer Algebra System (CAS) to solve differential equations using Euler's method, Runge Kutta method, and other built-in methods.
Activity
Lawrence Hall of Science

The Math Page: An Approach to Calculus: More Rules for Derivatives

For Students 9th - 10th
Here is a site that clearly and thoroughly explains the quotient rule, implicit differentiation, and derivatives of inverse functions. There are example problems solved, problems for the student to attempt, and answers to the student...