CALCULUS VOLUME 1 COURSE
Microlearning branded with your institution’s logo & available entirely within your learning environment (LMS). PAY ONCE, THEN USE ON YOUR UNLIMITED STUDENTS FREE, YEAR AFTER YEAR.
The Calculus Volume 1 course contains 51 selfgrading microlearning packages that you can upload to your Learning Management System (LMS).
Calculus is designed for the typical two or threesemester general calculus course, incorporating innovative features to enhance student learning. This course guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the course in three volumes for flexibility and efficiency. Volume 1 covers functions, limits, derivatives, and integration.

Review of Functions

Basic Classes of Functions

Trigonometric Functions

Inverse Functions

Exponential and Logarithmic Functions
 Final Assessment

A Preview of Calculus

The Limit of a Function

The Limit Laws

Continuity

The Precise Definition of a Limit
 Final Assessment

Defining the Derivative

The Derivative as a Function

Differentiation Rules

Derivatives as Rates of Change

Derivatives of Trigonometric Functions

The Chain Rule

Derivatives of Inverse Functions

Implicit Differentiation

Derivatives of Exponential and Logarithmic Functions
 Final Assessment

Related Rates

Linear Approximations and Differentials

Maxima and Minima

The Mean Value Theorem

Derivatives and the Shape of a Graph

Limits at Infinity and Asymptotes

Applied Optimization Problems

L’Hôpital’s Rule

Newton’s Method

Antiderivatives
 Final Assessment

Approximating Areas

The Definite Integral

The Fundamental Theorem of Calculus

Integration Formulas and the Net Change Theorem

Substitution

Integrals Involving Exponential and Logarithmic Functions

Integrals Resulting in Inverse Trigonometric Functions
 Final Assessment

Areas between Curves

Determining Volumes by Slicing

Volumes of Revolution: Cylindrical Shells

Arc Length of a Curve and Surface Area

Physical Applications

Moments and Centers of Mass

Integrals, Exponential Functions, and Logarithms

Exponential Growth and Decay

Calculus of the Hyperbolic Functions
 Final Assessment
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