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MATH 1106  Kennesaw Study Resources

Chapter 1 Notes
School: Kennesaw

WS 3.6 Key
School: Kennesaw

WS 3.1 & 3.2 Key
School: Kennesaw

WS 1.6 Key
School: Kennesaw

WS 1.5 Key Pg2
School: Kennesaw

WS 1.5 Key Pg1
School: Kennesaw

WS 1.3 & 1.4 Key
School: Kennesaw

WS 1.1 & 1.2 Key
School: Kennesaw

R Notes
School: Kennesaw
Chapter R: Functions, Graphs, and Models_ Section Objectives: Defining a function and its domain/range Linear functions Quadratic functions The graph of an equation is a drawing that represents all ordered pairs that are solutions of the equation. Exam

5.2 Notes
School: Kennesaw
Section 5.2: Applications of Models Section Objectives: Perform computations involving interest compounded continuously and continuous money flow. Calculate the total consumption of a natural resource. Find the present value of an investment. Growth Fo

5.1 Notes
School: Kennesaw
Sec 5.1: An Econ Application: Consumer & Producer Surplus Section Objectives: Given demand and supply functions, find the consumer surplus and the producer surplus at the equilibrium point. DEFINITION Suppose that consumer surplus describes the demand fu

4.4 Notes
School: Kennesaw
Section 4.4: Properties of Definite Integrals Section Objectives: Use the properties of definite integrals to find the area between curves. Solve applied problems involving definite integrals. Determine the average value of a function. THEOREM 5 For Fo

4.3 Notes
School: Kennesaw
Section 4.3: Area and Definite Integrals Section Objectives: Find the area under a curve over a given closed interval. Evaluate a definite integral. Interpret an area below the horizontal axis. Solve applied problems involving definite integrals. DEFI

WS 4.14.3 Key
School: Kennesaw

WS 4.4 Key
School: Kennesaw

MATH 110606 Syllabus (Fall 2014)
School: Kennesaw
MATH 1106: ELEMENTARY APPLIED CALCULUS Fall 2014 Instructor  Bruce Thomas CRN Days Time Course Num/Sec Location 83273 MW 12:30PM1:45PM MATH 1106/06 Burruss Bldg Room 109 A Course in the General Education Program Program Description: The General Educatio

1106 Practice Test 1 Fall 2014 (1)
School: Kennesaw
Math 1106  Instructor: Bruce Thomas Practice Test #1 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Decide whether the limit exists. If it exists, find its value. 1) 7 6 5 4 3 2 1 7 6 5 4 3 2

1106 Practice Test 2 Fall 2014  Annotated Answers
School: Kennesaw
Math 1106  Instructor: Bruce Thomas Practice Test #2 (Please let me know if you spot any typographic or other errors!) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Differentiate. 1) f(x) = (9x + 8

1106 Practice Final Exam Fall 2014  Annotated Answers
School: Kennesaw
Math 1106  Instructor: Bruce Thomas Practice Final Examination If you spot a mistake or typo, please let your instructor know ASAP! MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the limit, if

1106 Practice Final Exam Fall 2014
School: Kennesaw
Math 1106  Instructor: Bruce Thomas Practice Final Examination MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the limit, if it exists. 1) lim x5 x2 + 25 x+5 1) A) 0 C) Does not exist B) 5 D) 10

1106 Practice Test 2 Fall 2014
School: Kennesaw
Math 1106  Instructor: Bruce Thomas Practice Test #2 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Differentiate. 1) f(x) = (9x + 8)5 1) A) f'(x) = 5(9x + 8)4 B) f'(x) = 45(9x + 8)4 D) f'(x) = 9(9x

1106 Practice Test 1 Fall 2014  Annotated Answers
School: Kennesaw
Math 1106  Instructor: Bruce Thomas Practice Test #1 Please email me ASAP if you find a typographical error or any other kind of error in this version of the practice test. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or

Preparing For Final Exam
School: Kennesaw
MATH 1106 Review for Final Examination Topics to Review Limit of a Function Numerical Graphical Algebraic Continuity Derivative as Limit of Difference Quotient Tangent Line at a Point Horizontal Tangent Line Derivative is Rate of Change Rules of

1106 Practice Test 3 Spring 2013  Annotated Answers
School: Kennesaw
Math 1106  Instructor: Bruce Thomas Practice Test #3 Be sure to email me if you spot any errors in the following annotated solution! MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Differentiate. 1)

1106 Practice Test 3 Spring 2013
School: Kennesaw
Math 1106  Instructor: Bruce Thomas Practice Test #3 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Differentiate. 1) f(x) = e3x A) 1 e3x 3 2) f(x) = 4e7x A) 28e7x 1) B) 3ex C) e3x D) 3e3x 2) B) 

WS 5.2 Key
School: Kennesaw

WS 5.1 Key
School: Kennesaw

4.2 Notes
School: Kennesaw
Section 4.2: Antiderivatives as Areas Section Objectives: Find the area under a graph to solve realworld problems Use rectangles to approximate the area under a graph. Example 1: A vehicle travels at 50 mi/hr for 2 hours. How far has the vehicle travel

4.1 Notes
School: Kennesaw
Section 4.1: Antidifferentiation Section Objectives: Find an antiderivative of a function. Evaluate indefinite integrals using the basic integration formulas. Use initial conditions, or boundary conditions, to determine an antiderivative. THEOREM 1 The

3.6 Notes
School: Kennesaw
Section 3.6: An Economics Application: Elasticity of Demand Section Objectives: Find the elasticity of a demand function. Find the maximum of a totalrevenue function. Characterize demand in terms of elasticity. DEFINITION The elasticity of demand () i

1.4 Notes
School: Kennesaw
Sec 1.4: Differentiation Using Limits of Difference Quotients Section Objectives: Find derivatives and values of derivatives Find equations of tangent lines The slope of the tangent line at is This limit is also the For a function function of its define

1.3 Notes
School: Kennesaw
Section 1.3: Average Rates of Change _ Section Objectives: Compute an average rate of change. Find a simplified difference quotient. An The average rate of change of is the slope of a line between with respect to , as changes from ratio of the change in

1.2 Notes
School: Kennesaw
Section 1.2: Algebraic Limits and Continuity_ Section Objectives: Develop and use the Limit Principles to calculate limits. Determine whether a function is continuous at a point. LIMIT PROPERTIES () If and we have the following: () L1 The limit of a con

1.1 Notes
School: Kennesaw
Section 1.1: Limits: A Numerical and Graphical Approach _ Section Objective: Find limits of functions, if they exist, using numerical or graphical methods. DEFINITON: () The of a function , as approaches , is written This means that as the values of appr

Math 1106 Test 2 Answer Keyfall 08
School: Kennesaw
Math 1106 Test 2 fall 08 Answer Key Cross Reference This cross reference will match the question numbers in the answer key to test versions 1 & 2. v.1 v.2 1 2 3 4 5 17 9 12 20 7 15 4 6 7 9 12 13 25 23 24 6 7 8 9 v.1 v.2 11 19 5 13 17 20 16 3 5 v.1

Math 1106 Test 1 Answer Keyfall 08
School: Kennesaw
Test 1 Answers  Fall, 2008 1) x 2 6x 926 x 2 7x x 60 0 5 x 12 x x 986 0 5 Dx D5 12 is an invalid answer x 986 5 986 981 _ 2) rate of change m 0.03 data point (x,y) 8, 1. 63 y y y m x x 1 1. 63 0. 03 x 1. 63 0. 03x y1 8 0. 24 or

M1106 Test 3 Answer Key Spring08
School: Kennesaw
Math 1106 Test 03 Spring 08 Answer Key To find the matching question for test 1 or test 2 use the following cross reference table: key v.1 v.2 1 2 3 4 5 21 22 23 24 25 5 22 4 17 3 16 19 25 23 24 3 18 8 10 22 20 17 23 24 25 key v.1 v.2 6 7 8 9 10 15

M1106 Test 1 Answer Key Spring09
School: Kennesaw
Test 1 Answers  Spring, 2009 Multiple choice answers # 1 2 3 4 5 6 7 8 9 10 11 V1 B B B D C C D D B B V2 C D A D B B B C A C # 12 13 14 15 16 17 18 19 20 21 22 V1 C B B B C D A A B B A V2 D D C A A D A C C A B Cross Reference Answer Key versus Vers

Section 2.3LN
School: Kennesaw
Lecture Notes Section 2.3 Product and Quotient Rules: Higher Order Derivatives. p.125 Product Rule  used when two expressions are multiplied together. Derivative of first factor Second factor Derivative of second factor First factor Or. Cross

Section 1.3LN
School: Kennesaw
Lecture Notes Section 1.3 Linear Functions functions whose graphs are a sraight line p.26 , example 1.3.1 Two types of cost fixed costs and variable costs Fixed costs are costs that are incurred even if no units are produced variable costs are costs

Section 1.1LN
School: Kennesaw
Lecture Notes Section 1.1 Functions p.2 `the value of one variable depends on the value of a second one' the value of a rare coin depends upon its age the value of the rare coin is a function of its age RareCoin(x) 27.3x107 The value of Rare Coi

Section_2.1_lecture_notes
School: Kennesaw
Lecture Notes Section 2.1 Increasing, Decreasing and Piecewise Functions p.166, Increasing, Decreasing and Constant Functions mechanical answer increasing if it rises from left to right decreasing if it drops from left to right constant if it neit

1.5 Notes
School: Kennesaw
Section 1.5: Differentiation Techniques: The Power & SumDifference Rules Section Objectives: Differentiate using the Power Rule or the SumDifference Rule. Differentiate a constant or a constant times a function. Determine points at which a tangent lin

1.6 Notes
School: Kennesaw
Section 1.6: Differentiation Techniques: The Product and Quotient Rules Section Objectives: Differentiate using the Product and the Quotient Rules. Use the Quotient Rule to differentiate the average cost, revenue, and profit functions. THEOREM 5: The Pr

3.4 Notes
School: Kennesaw
Section 3.4: Applications: Decay Section Objectives: Find a function that satisfies Convert between decay rate and halflife. Solve applied problems involving exponential decay. The equation , where , shows to be decreasing as a function of time, and t

3.3 Notes
School: Kennesaw
Section 3.3: Uninhibited and Limited Growth Models Section Objectives: Find functions that satisfy Convert between growth rate and doubling time. Solve application problems using exponential growth and limited growth models. RECALL Example: Differentia

3.2 Notes
School: Kennesaw
Section 3.2: Logarithmic Functions Section Objectives: Convert between logarithmic and exponential equations. Solve exponential equations. Solve problems involving exponential and logarithmic functions. Differentiate functions involving natural logari

3.1 Notes
School: Kennesaw
Section 3.1: Exponential Functions Section Objectives: Graph exponential functions. Differentiate exponential functions. DEFINITION An exponential function Where is given by is any real number, () and . The number Example 1: Graph ( ) DEFINITION: ( We c

2.6 Notes
School: Kennesaw
Section 2.6: Marginals and Differentials Section Objectives: Find marginal cost, revenue, and profit. Find and Use differentials for approximations. DEFINITION Let and represent, respectively, the total cost, revenue, and profit from the production and

2.5 Notes
School: Kennesaw
Section 2.5: MaxMin Problems; Business & Econ Applications Section Objectives: Solve maximum and minimum problems using calculus. A Strategy for Solving MaximumMinimum Problems: 1. Read the problem carefully. If relevant, make a drawing. 2. Make a list

2.4 Notes
School: Kennesaw
Section 2.4: Using Derivatives to Find Absolute Max & Min Section Objectives: Find absolute extrema using MaximumMinimum Principle 1. Find absolute extrema using MaximumMinimum Principle 2. DEFINITION: Suppose that is an is an is a function with domai

2.3 Notes
School: Kennesaw
Sec. 2.3: Graph Sketching: Asymptotes & Rational Functions Section Objectives: Find limits involving infinity. Determine the asymptotes of a functions graph. Graph rational functions. DEFINITION: A rational function is a function that can be described

2.2 Notes
School: Kennesaw
Section 2.2: Using Second Derivatives to Find Max & Min Values and Sketch Graphs Section Objectives: Find the relative extrema of a function using the SecondDerivative Test. Sketch the graph of a continuous function. Suppose that is a function whose de

2.1 Notes
School: Kennesaw
Section 2.1: Using Derivatives to Find Max & Min Values & Sketch Graphs Section Objectives: Find relative extrema of a continuous function using the FirstDerivative Test. Sketch graphs of continuous functions. A function is increasing over if, for ever

1.8 Notes
School: Kennesaw
Section 1.8: Higher Order Derivatives Section Objectives: Find derivatives of higher order. Given a formula for distance, find velocity and acceleration. Higher Order Derivatives () Consider the function given by . Its derivative, ( ) is given by () . T

1.7 Notes
School: Kennesaw
Section 1.7: The Chain Rule Section Objectives: Find the composition of two functions. Differentiate using the Extended Power Rule or the Chain Rule. THEOREM 7: The Extended Power Rule Suppose that is a differentiable function of . Then, for any real nu

MATH 1106SyllabusReviewStatement
School: Kennesaw
Course Syllabus Review Statement And Signature Form I have read the syllabus for MATH 1106, Spring Semester 2009, and have had an opportunity to ask the instructor any questions I may have about it. I understand its contents, including the course req