Straighterline calculus 2 answers

Course Description and Objectives

This course is designed to acquaint students with calculus principles such as derivatives,

integrals, limits, approximation, applications and integration, and curve sketching. During this

course students will gain experience in the use of calculus methods and learn how calculus

methods may be applied to practical applications. Topics covered include Special Functions,

Limits, Derivatives, Computational Techniques, Applications of Differentiations, and

Applications of Integration.

Course Prerequisites

StraighterLine does not require prerequisites, however it is suggested that students take

Precalculus or its equivalent before enrolling in General Calculus I.

Important Terms

In this course, different terms are used to designate tasks:

● Proctoring​: all final exams require proctoring which can be completed conveniently from your home. A webcam is required.

● Tutoring​: memberships include online tutoring for students to access with any content/subject related questions in the place of faculty. If your tutor is not able to

answer your questions please contact a student advisor.

● Exam​: A graded online test. ● Exercises​: ungraded practice exercises and quiz questions.

Course Evaluation Criteria

StraighterLine provides a percentage score and letter grade for each course. See ​Academic Questions​ section in FAQ for further details on percentage scores and grading scale. A passing percentage is​ 70%​ or higher.

If you have chosen a Partner College to award credit for this course, your final grade will be

based upon that college's grading scale. Only passing scores will be considered by Partner

Colleges for an award of credit.

There are a ​total of 1000 points​ in the course:

Chapter Assessment

Points

Available

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MAT250: General Calculus I

3 Graded Exam 1 125

6 Graded Exam 2 125

7 Midterm Exam 200

9 Graded Exam 3 125

11 Graded Exam 4 125

12 Final Exam 300

Total 1000

Course Topics and Objectives

Chapter Topics Subtopics

The Basics

● Overview ● Precalculus

Review

● Welcome to Calculus ● The Two Questions of Calculus ● Average Rates of Change ● How to Do Math ● Functions ● Rational functions ● Complex number ● Zeros of polynomial ● Graphing Lines ● Parabolas ● Some Non-Euclidean Geometry

Limits

● The Concept of the Limit

● Evaluating Limits

● Finding Rate of Change over an Interval ● Finding Limits Graphically ● The Formal Definition of a Limit ● The Limit Laws, Part I ● The Limit Laws, Part II ● One-Sided Limits ● The Squeeze Theorem ● Continuity and Discontinuity ● Evaluating Limits ● Limits and indeterminate Forms ● Two Techniques for Evaluating Limits ● An Overview of Limits

An Introduction

to Derivatives

● Understanding the Derivative

● Using the Derivative

● Some Special Derivatives

● Rates of Change, Secants, and Tangents ● Finding Instantaneous Velocity ● The Derivative ● Differentiability ● The Slope of a Tangent Line ● Instantaneous Rate ● The Equation of a Tangent Line ● More on Instantaneous Rate ● The Derivative of the Reciprocal Function

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© StraighterLine

MAT250: General Calculus I

● The Derivative of the Square Root

Computational

Techniques

● The Power Rule

● The Product and Quotient

Rules

● The Chain Rule

● A Shortcut for Finding Derivatives ● A Quick Proof of the Power Rule ● Uses of the Power Rule ● The Product Rule ● The Quotient Rule ● An Introduction to the Chain Rule ● Using the Chain Rule ● Combining Computational Techniques

Special

Functions

● Trigonometric Functions

● Exponential Functions