Course ePortfolio

Single Variable Calculus I Early Transcendentals

This collection contains the Affordable Learning Solution for the Southern University System (AL$4SUS) list of peer-reviewed textbooks for Single Variable Calculus I Early Transcendentals (common course-id MATH 210), one of the top 50 college courses identified for inclusion in the Southern University Online Library for Education (SUOLforEd).

See LA Master Course Matrix

http://www.regents.la.gov/page/master-course-articulation-matrix

General Course Description: MATH 210

A first course in differential and integral calculus of a single variable: functions; limits and continuity; techniques and applications of differentiation and integration; Fundamental Theorem of Calculus. Primarily for Science, Technology, Engineering & Math Majors.

Minimum Units: 4.0

Date Added to MERLOT:

August 3, 2016

Created by:

SUOL4ed subr

License:

Derived from

Prerequisites

Prerequisites: Pre-calculus, or college algebra and trigonometry, or equivalent.

Corequisites: None

Advisories/Recommendations: None

Pedagogical Approach & Learning Outcomes

Pedagogical Approach

None

Learning Outcomes

Upon successful completion of the course, students will be able to:

Compute the limit of a function at a real number;
Determine if a function is continuous at a real number;
Find the derivative of a function as a limit;
Find the equation of a tangent line to a function;
Compute derivatives using differentiation formulas;
Use differentiation to solve applications such as related rate problems and optimization problems;
Use implicit differentiation;
Graph functions using methods of calculus;
Evaluate a definite integral as a limit;
Evaluate integrals using the Fundamental Theorem of Calculus; and
Apply integration to find area.

Assessment & Other Information

Assessment

Tests,
examinations,
homework or
projects where students demonstrate their mastery of the learning objectives and their ability to devise, organize and present complete solutions to problems.

Other Information

None

Course Resources

Calculus - Early Transcendentals (Open (Access) Textbook)

The discussions and explanations are succinct and to the point, in a way that pleases mathematicians who do not like... More

The discussions and explanations are succinct and to the point, in a way that pleases mathematicians who do not like calculus books to go on and on. There are eleven chapters beginning with analytic geometry and ending with sequences and series. The book covers the standard material in a one variable calculus course for science and engineering. The size of the book is such that an instructor does not have to skip sections in order to fit the material into the typical course schedule. There are sufficiently many exercises at the end of each section, but not as many as the much bigger commercial texts. Some students and instructors may want to use something like a Schaum outline for additional problems.
Calculus (Open (Access) Textbook)

Published in 1991 and still in print from Wellesley-Cambridge Press, the book is a useful resource for educators and... More
Mooculus: Calculus (Open (Access) Textbook)

This open textbook is a first and friendly introduction to calculus, suitable for someone who has never seen the subject... More
Active Calculus (Open (Access) Textbook)

While each author of a calculus textbook certainly offers her own creative perspective on the subject, it is hardly the... More

While each author of a calculus textbook certainly offers her own creative perspective on the subject, it is hardly the case that many of the ideas she presents are new. Indeed, the mathematics community broadly agrees on what the main ideas of calculus are, as well as their justification and their importance; the core parts of nearly all calculus textbooks are very similar. As such, it is our opinion that in the 21st century – an age where the internet permits seamless and immediate transmission of information – no one should be required to purchase a calculus text to read, to use for a class, or to find a coherent collection of problems to solve. Calculus belongs to humankind, not any individual author or publishing company. Thus, a main purpose of this work is to present a new calculus text that is free. In addition, instructors who are looking for a calculus text should have the opportunity to download the source files and make modifications that they see fit; thus this text is opensource.