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Are you sure you want to delete this Course ePortfolio Single Variable Calculus I Early Transcendentals
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Single Variable Calculus I Early Transcendentals

select to open or close Course ePortfolio detail Course ePortfolio:  Single Variable Calculus I Early Transcendentals

Course ePortfolio Description:

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 03, 2016
Created by: SUOL4ed subr
License: Creative Commons License
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Prerequisites

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select to open or close Course ePortfolio pedagogy and outcomes Pedagogical Approach & Learning Outcomes

Pedagogical Approach:
  • Definition and computation of limits using numerical, graphical, and algebraic approaches;
  • Continuity and differentiability of functions;
  • Derivative as a limit;
  • Interpretation of the derivative as: slope of tangent line, a rate of change; 
  • Differentiation formulas: constants, power rule, product rule, quotient rule and chain rule;
  • Derivatives of transcendental functions such as trigonometric, exponential or logarithmic;
  • Implicit differentiation with applications, and differentiation of inverse functions;
  • Higher-order derivatives;
  • Graphing functions using first and second derivatives, concavity and asymptotes;
  • Maximum and minimum values, and optimization;
  • Mean Value Theorem;
  • Antiderivatives and indefinite integrals;
  • Area under a curve;
  • Definite integral; Riemann sum;
  • Properties of the integral;
  • Fundamental Theorem of Calculus;
  • Integration by substitution;
  • Indeterminate forms and L'Hopital's Rule
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.
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Assessment & Other Info

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(Open (Access) Textbook)
The discussions and explanations are succinct and to the point, in a way that pleases... More
Delete the item Calculus from this Course ePortfolio
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(Open (Access) Textbook)
Published in 1991 and still in print from Wellesley-Cambridge Press, the book is a useful... More
Delete the item Mooculus: Calculus from this Course ePortfolio
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(Open (Access) Textbook)
This open textbook is a first and friendly introduction to calculus, suitable for someone... More
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4.
(Open (Access) Textbook)
While each author of a calculus textbook certainly offers her own creative perspective on... More