# Calculus Honors   (#1202300)

## General Course Information and Notes

### General Information

Course Number: 1202300
Course Path:
Abbreviated Title: CALCULUS HON
Course Length: Year (Y)
Course Attributes:
• Honors
Course Level: 3
Course Status: Course Approved

## Educator Certifications

One of these educator certification options is required to teach this course.

## Student Resources

Vetted resources students can use to learn the concepts and skills in this course.

## Original Student Tutorial

Hallowed Words: Evaluating a Speaker's Effectiveness:

Examine the hallowed words of Abraham Lincoln's "Gettysburg Address." In this interactive tutorial you'll identify his point of view, reasoning, and evidence in order to evaluate his effectiveness as a speaker.

Type: Original Student Tutorial

## Tutorials

Absolute and Relative Minima and Maxima:

You will learn how to find the absolute and relative minima and maxima of functions.

Type: Tutorial

Identifying relative minimum and maximum values:

You will learn how to identify relative minimum and maximum values of functions.

Type: Tutorial

Concavity, concave upwards and concave downwards intervals:

You will learn how to find concavity, concave upwards and concave downwards intervals of functions.

Type: Tutorial

Recognizing Concavity of Functions:

Learn how to recognizing concavity of functions.

Type: Tutorial

Inflection points of functions:

How to find inflection points of functions.

Type: Tutorial

Graphing with Derivatives:

You will learn how to use the first and second derivatives to identify critical points and inflection points and to graph the function.

Type: Tutorial

Calculus: Derivatives 1:

In this video we will learn that a derivative is simply the slope of a curve at any given point.

Type: Tutorial

Calculating Slope of Tangent Line Using Derivative Definition:

In this video we will use find the slope of the tangent line to determine the derivative.

Type: Tutorial

Inferring Limit from Numerical Data:

This video will help you determine how to infer limits when given numerical data.

Type: Tutorial

Mean Value Theorem:

We will learn and apply the Mean Value Theorem.

Type: Tutorial

Derivative as Slope of a Tangent Line:

We will find the derivative of a function by finding the slope of the tangent line.

Type: Tutorial

Mean Value Theorem:

In this video we will take an in depth look at the Mean Value Theorem.

Type: Tutorial

The Derivative of f(x)=x^2 for Any x:

In this video we will find the derivative of a function based on the slope of the tangent line.

Type: Tutorial

Using the Product Rule and the Chain Rule:

In this video we will use the chain rule and the product rule together to find a derivative of a composite function.

Type: Tutorial

The Product Rule for Derivatives:

In this video will will apply the product rule to find the derivative of two functions.

Type: Tutorial

Product Rule for More Than Two Functions:

In this video, we will use the product rule to find the derivative of the product of three functions.

Type: Tutorial

Derivative of Log with Arbitrary Base:

In this video, we will find the derivative of a log with an arbitrary base.

Type: Tutorial

Chain Rule for Derivative of 2^x:

Here we will see how the chain rule is used to find the derivative of a logarithmic function.

Type: Tutorial

Chain Rule Introduction:

This video is an introduction on how to apply the chain rule to find the derivative of a composite function.

Type: Tutorial

Chain Rule Definition and Example:

In this video we will define the chain rule and use it to find the derivative of a function.

Type: Tutorial

Chain Rule With Triple Composition:

We will use the chain rule to find the derivative of a triple-composite function.

Type: Tutorial

Chain Rule Example Using Visual Information:

In this video we will analyze the graph of a function and its tangent line, then use the chain rule to find the value.

Type: Tutorial

Chain Rule Example Using Visual Function Definitions:

We will use the chain rule to find the value of a composite function at a given point.

Type: Tutorial

Limits at Positive and Negative Infinity:

In this video we will find the limit of a function as it approaches positive infinity and negative infinity.

Type: Tutorial

More Limits at Infinity:

Here we will explore three more functions, and find their limits as they approach infinity.

Type: Tutorial

Limits at Infinity Using Algebra:

Here we will use algebra to find the limit of a function with radicals as it approaches infinity.

Type: Tutorial

Limits with Two Horizontal Asymptotes:

Here we will find the limit of a function as it approaches positive and negative infinity and results in two horizontal asymptotes.

Type: Tutorial

Limits and Infinity:

We will look at more examples of limits at infinity.

Type: Tutorial

Refraction of Light:

This resource explores the electromagnetic spectrum and waves by allowing the learner to observe the refraction of light as it passes from one medium to another, study the relation between refraction of light and the refractive index of the medium, select from a list of materials with different refractive indicecs, and change the light beam from white to monochromatic and observe the difference.

Type: Tutorial

Human Eye Accommodation:

• Observe how the eye's muscles change the shape of the lens in accordance with the distance to the object being viewed
• Indicate the parts of the eye that are responsible for vision
• View how images are formed in the eye

Type: Tutorial

Concave Spherical Mirrors:

• Learn how a concave spherical mirror generates an image
• Observe how the size and position of the image changes with the object distance from the mirror
• Learn the difference between a real image and a virtual image
• Learn some applications of concave mirrors

Type: Tutorial

Convex Spherical Mirrors:

• Learn how a convex mirror forms the image of an object
• Understand why convex mirrors form small virtual images
• Observe the change in size and position of the image with the change in object's distance from the mirror
• Learn some practical applications of convex mirrors

Type: Tutorial

Color Temperature in a Virtual Radiator:

• Observe the change of color of a black body radiator upon changes in temperature
• Understand that at 0 Kelvin or Absolute Zero there is no molecular motion

Type: Tutorial

Solar Cell Operation:

This resource explains how a solar cell converts light energy into electrical energy. The user will also learn about the different components of the solar cell and observe the relationship between photon intensity and the amount of electrical energy produced.

Type: Tutorial

Electromagnetic Wave Propagation:

• Observe that light is composed of oscillating electric and magnetic waves
• Explore the propagation of an electromagnetic wave through its electric and magnetic field vectors
• Observe the difference in propagation of light of different wavelengths

Type: Tutorial

Basic Electromagnetic Wave Properties:

• Explore the relationship between wavelength, frequency, amplitude and energy of an electromagnetic wave
• Compare the characteristics of waves of different wavelengths

Type: Tutorial

Geometrical Construction of Ray Diagrams:

• Learn to trace the path of propagating light waves using geometrical optics
• Observe the effect of changing parameters such as focal length, object dimensions and position on image properties
• Learn the equations used in determining the size and locations of images formed by thin lenses

Type: Tutorial

## Video/Audio/Animation

Will an Ice Cube Melt Faster in Freshwater or Saltwater?:

With an often unexpected outcome from a simple experiment, students can discover the factors that cause and influence thermohaline circulation in our oceans. In two 45-minute class periods, students complete activities where they observe the melting of ice cubes in saltwater and freshwater, using basic materials: clear plastic cups, ice cubes, water, salt, food coloring, and thermometers. There are no prerequisites for this lesson but it is helpful if students are familiar with the concepts of density and buoyancy as well as the salinity of seawater. It is also helpful if students understand that dissolving salt in water will lower the freezing point of water. There are additional follow up investigations that help students appreciate and understand the importance of the ocean's influence on Earth's climate.

Type: Video/Audio/Animation

## Parent Resources

Vetted resources caregivers can use to help students learn the concepts and skills in this course.