Contemporary Calculus By Dale Hoffman Solution Manual

Content Overview

This course is based on Applied Calculus, by Shana Calaway, Dale Hoffman, and David Lippman. The full textbook can be downloaded for free here.Students will learn to apply calculus in economic and business settings, like maximizing profit or minimizing average cost, finding elasticity of demand, or finding the present value of a continuous income stream. Contemporary Calculus Dale Hoffman (2012) Source URL: Saylor URL: Attributed to: Dale Hoffman Saylor.org Page 2 of 17 graph has a break. The function f is also continuous at 1.7 (why?), and at every point shown except at 2, 3, and 4. Informally: A function is continuous at a point if the graph of the function is connected there.

Course Description:

This course is delivered in Lumen OHM with automated grading of numerical and algebraic answers, similar to WebAssign and MyMathLab. This makes it appropriate for self-study by students, or as a face to face course. This course can be imported into your LMS (Blackboard, Canvas, Moodle) to provide a single-sign on experience for your students, as well as grade return for you.

Text

This course for Calculus 1 and 2 is based on Contemporary Calculus by Dale Hoffman. A printed version of the calculus 1 (ch. 1-4) book is available on Amazon . A printed version of the Calculus 2 (ch. 5-10) book is available on Lulu (soon to be on Amazon). The PDFs for chapters 1-3 in this course shell are reformatted versions of the original text which are not yet complete, and will not match the page numbers of the original text.

Topic Overview

This course is delivered in 15 chapters including the following topics: Crear usuarios office 365.

Chapter 0 — Review and Preview

• Lines
• Functions
• Combinations of functions
• Mathematical language

Chapter 1 — Functions, Graphs, Limits, and Continuity

• Sopes & velocity
• Limit of a function, limit properties, formal definition of limits
• Continuous functions

Chapter 2 — The Derivative

• Slope of a tangent line
• Definition of a derivative, differentiation formulas, chain rule, related rates
• Newton’s method, linear approximation, implicit differentiation

Chapter 3 — Derivatives and Graphs

• Max/ Min, applied max and min., mean value theorem
• Graphs of derivatives of functions
• Asymptotes, L’Hopital’s rule

Chapter 4 — The integral

• Sigma notation and Reimann sums
• Definite integrals and their properties, areas and antiderivatives
• Applications and approximations of definite integrals

Chapter 5 — Applications of Definite Integrals

• Volume, arc length, surface area
• Work, moments and centers of mass

Chapter 6 — Introduction to Differential Equations

• Separable differential equations
• Exponential growth, decay, and cooling

Chapter 7 — Inverse Trigonometric Functions

• Transcendental functions, calculus with inverse trig functions

Chapter 8 — Improper Integrals and Integration Techniques

• Improper integrals
• Integration by parts, partial fraction decomposition, trig substitution

Chapter 9 — Polar, Parametric & Conics

• Polar coordinates, calculus with polar coordinates
• Parametric equations, calculus with parametric equations
• Bezier curves, conic sections, properties of conic sections

Chapter 10 — Infinite Series and Power Series

• Geometric and harmonic series, alternating sign series, power series, Taylor and Macalurin series
• Tests for convergence
• Approximation with Taylor Polynomials

Chapter 11 — Vectors, Lines, and Planes in 3D

• Vectors in the plane
• Rectangular coordinates in 3D, vectors in 3D, lines and planes in 3D

Chapter 12 — Vector Valued Functions

• Derivatives, curves in space
• Cylindrical and spherical coordinates in 3D

Chapter 13 — Functions of Several Variables

• Limits, partial derivatives, tangent planes and differentials
• Gradients, max/ min
• Lagrange multipliers

Chapter 14 — Double and Triple Integrals

• Over rectangular domains, in polar coordinates
• Applications of double integrals
• Surface area
• Triple integrals
• Change of variables

Chapter 15 — Vector Calculus

• Vector fields, divergence, curl, line integrals, potential functions
• Green’s theorem, Stokes and Gauss’ equations

Length: Two semesters, three quarters

This is a trial and error procedure; and quiet time consuming.1 related questions. Program dish network remote to akai tv. Nov 04, 2016. We're happy to help you with getting your DISH Network remote addressed to your TV. Jul 19, 2007 Program your Dish network TV Remote to your TV in under 3 minutes simple and easy way to program your dishnetwork remote to your TV.You might have to check different codes said for your device. Search the site by type in the 'brand name' to your device; in the 'Search box at the top right of the display window' to get gathered related posts.

Delivery: This course contains content that could be delivered as an online course (although why you would want to take Calculus online, I don’t know…), or face to face.

Online Content

The Lumen OHM coursepack provides a starting place for building a custom course.

Algorithmic practice and assessment problem sets can be assimilated in the platform.

Course Review Access

Follow the link to review the Calculus 1 and 2 course materials in Lumen OHM.