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For 6th Edition Support Email Instructor and see 6th Edition Assignments
For 5th Edition Support Email Instructor and see 5th Edition Assignments
Assignments 0-6: Modeling Projects; Chapter 0; Introduction to some Central Themes
Assignments 7-11 More Fundamental Ideas in the Context of Modeling Projects; Chapter 1
Assignments 12-21: A Closer Look at the Derivative and Integral; Chapter 2
Assignments 22-29: Some Applications of the Derivative
Assignments
Assignment 0
Preliminary Assignment (orientation and startup)
Distance Students should have completed Orientation and Startup according to instructions received through student's VCCS email account. If instructions have not been received, email the instructor immediately.
DISTANCE STUDENTS: NOTE VIDEO VERSIONS OF CLASS NOTES ON CD's, Starting with CD #2. See CD Contents for table of contents.Assignments 0-6: Modeling Projects; Chapter 0; Introduction to Some Central Themes
Assignment 1
See also Class Notes #01-#03 (Distance students: See Calculus video clips on GEN1 CD. Run CD by clicking on the program labeled Disk_1).
Submit the open qa for this assignment.
Read Chapter 0, Section 1 on the Real Line and Order.
Do problems 1-10, 24, 26, 28, 30, 31, 32.
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Assignment 2
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Complete Modeling Project #1, which is an introduction to modeling by quadratic functions using data and simultaneous equations, and to the relationship between a function and its rate of change function. If you wish to use simulated data go to Randomized Problems and choose SIMULATED FLOW MODEL DATA
** Note: If so instructed, and only if so instructed, instead of the problems stated in the documents, go to Randomized Problems, Calculus 1, Introductory Flow Model (Model 1), and randomly choose and submit one of the nine problem versions. These problems are similar but not identical to those in your documents. **
Read Chapter 0, Section 2 on the Absolute Values and Distance on a Line.
Do problems 1-16, 17, 19, 22, 24, 27, 29, 32, 35, 38, 41, 42, 44, 47
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Assignment 3
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Class Notes #04: The Concepts of Differentiation and Integration in the Context of Rate Functions
Go to Randomized Problems, Week 2 Quiz #1 and randomly choose and submit one of the problems 1-19. Work the problem and submit your solution using the Submit Work Form
Read Chapter 0, Section 3 on exponents and radicals.
Do problems 21-34, 34-38, 57, 59, 62
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Assignment 4
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Begin Modeling Project #2, which is an exploration of exponential functions in the context of compound interest, temperature functions, and other real-world phenomena including population models and others. Complete Exercises 1-14 (read associated material) ** Note: If so instructed, and only in this case, instead of the problems stated in the documents, go to Randomized Problems, Calculus I, Introductory Flow Model (Model 2), and randomly choose and submit one of the nine problem versions. These problems are similar but not identical to those in your documents. **
Read Chapter 0, Section 4 on factoring and polynomials.
Do problems 2, 4, 6, 10, 12, 14, 16, 18, 20, 22, 24, 26, 34, 40, 44, 48, 50, 69, 70, 71.
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Assignment 5
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Class Notes #05: Growth of an Exponential Function; Trapezoidal Representation of Approximate Derivatives and Integrals
Modeling Project #2: Complete Remaining Exercises (read associated material)
Randomized Problems, Week 2 Quiz #1 and randomly choose and submit one of the problems 1-39
Read Chapter 0, Section 5 on the Real Line and Order.
Do problems 2, 6, , 8, 10, 12, 22, 26, 45, 48
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Assignment 6
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Class Notes #06: Project #3; Derivative of y = a x^3; The Differential
Linked Outline of Introductory Topics through 9/04/98: Study these for the upcoming major quiz
Complete Modeling Project #3, which is an introduction to power functions and proportionality in the context of the relationship of the volume of geometrically similar sandpiles to their linear dimensions.
Read Chapter 1, Section 1 on the the coordinate plane and distance formula.
Do problems 6, 8, 10, 12, 18, 20, 22, 24, 26, 28, 29, 30, 34, 38, 40.
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Assignments 7-11: More Fundamental Ideas in the Context of Modeling Projects; Chapter 1
Assignment 7
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Complete Major Quiz in Learning Lab or at Approved Testing Site, according to Testing Instructions on the Supervised Study Current Semester pages.
Class Notes #07: The Differential; Tangent Line Approximation to Differential
Class Notes #08: Text problems; First Introduction to Differential Equations
Complete Inverse Functions and Logarithms, which is a concrete, step-by-step approach to the concept of inverse functions and to logarithmic functions as inverses of exponential functions.
Randomized Problems, Week 3 Quiz #2 and randomly choose and submit one of the problems 1-39
Read Chapter 1, Section 2 on the graphing of equations.
Do problems 5-10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 36, 38, 40, 42, 44, 48, 52, 56, 59, 60, 66.
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Assignment 8
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Class Notes #09: Text problems; Introduction to Natural Logarithms and Composite Functions; Numerical Solution of Differential Equations ignore Text problems, Natural Logarithms, Numerical Solutions to Differential Equations; do look at Composite Functions
Randomized Problems, Week 4 Quiz #1 and randomly choose and submit one of the problems 1-39
Randomized Problems, Week 4 Quiz #2 and randomly choose and submit one of the problems 1-39
Randomized Problems, Week 3 Quiz #3 and randomly choose and submit one of the problems 1-39
Read Chapter 1, Section 3 on straight lines.
Do problems 6, 12, 14, 18, 22, 24, 26, 30, 32, 38, 40, 44, 46, 50, 54, 60, 64, 66, 61, 74, 78, 81
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Assignment 9
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Read Chapter 1, Section 4 on Functions
Do problems 2, 4, 6, 7, 12, 13, 24, 26, 28, 31, 34, 37, 38, 40, 44, 48, 50, 55-58, 59, 60, 61, 63, 66, 68, 69, 71.
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Assignment 10
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Class Notes #11: Brief Intro. to Polynomials (ignore trigonometric functions--look at only the last paragraphs above the last figure and below the next-to-last figure)
Read Chapter 1, Section 5 on limits.
Do problems 1-8, 10, 11, 12, 13, 14, 15-19, 16, 20, 22, 24, 26, 28, 30, 32, 34, 38, 41, 44, 48, 53, 56, 61, 66, 70.
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Assignment 11
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Class Notes #12: Rational Functions, Continuity
Read Chapter 1, Section 6 on continuity.
Do problems 12, 14, 16, 22, 24, 49, 54, 59, 62.
Prepare for Test #1
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Assignments 12-21: A Closer Look at the Derivative and the Integral
Assignment 12
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Class Notes #13: The Derivative
Complete Test #1 in Approved Testing Facility according to instructions.
Read Chapter 2, Section 1 on the derivative.
Do problems 3, 4, 7, 9, 10, 12, 19, 24, 32, 35, 37, 38, 42, 43, 44, 49, 51, 54
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Assignment 13
IMPORTANT NOTE: You will soon need your second set of CD's. See note on Asst 11 in case you missed it.
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Class Notes #14: The Derivative Function
Read Chapter 2, Section 2 on rules for differentiation.
Do problems 2, 3, 7, 10, 15, 16, 19, 20, 23, 25, 29, 30, 33, 38, 40, 45, 56, 48, 49, 55, 57, 60, 63
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Assignment 14
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Read Chapter 2, Section 3 on rates of change and applications
Do problems 2, 5, 8, 11, 14, 16, 19, 20, 21, 22, 26
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Assignment 15
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Class Notes #18: The Fundamental Theorem of Calculus
Reread Chapter 2, Section 3 on rates of change and applications
Do problems 29, 30, 33, 36, 38, 41, 43, 46, 48
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Assignment 16
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Class Notes #22: Product and Quotient Rules
Reread Chapter 2, Section 4 on Product and Quotient Rules
Do problems for this section as assigned in the document Text Problem Assignments
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Assignment 17
Class Notes #19: Review Notes for Test (see also Derivatives of Polynomials in Class Notes #'s 20, 21)
Class Notes #20: The Fundamental Theorem of Calculus; Derivatives of Polynomials
Class Notes #21: The Fundamental Theorem of Calculus; Derivatives of Polynomials
Read Chapter 2, Section 5 on the Chain Rule
Do problems for this section as assigned in the document Text Problem Assignments
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Assignment 18
Class Notes #23: The Chain Rule
Class Notes #15: Interpretation of the Derivative; the Second Derivative
Class Notes #16: Second Derivative; Definite Integral
Class Notes #17: Using DERIVE for integrals and Riemann sums
Reread Chapter 2, Section 5 on the Chain Rule
Do problems for this section as assigned in the document Text Problem Assignments
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Assignment 19
Class Notes #15: Interpretation of the Derivative; the Second Derivative
Class Notes #16: Second Derivative
Read Chapter 2, Section 6 on the Higher Order Derivatives
Do problems for this section as assigned in the document Text Problem Assignments
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Assignment 20
Class Notes #26: Inverse Functions; Chain Rule; Implicit Differentiation
Class Notes #27: Implicit Differentiation; Tangent Line Approximation; l'Hopital's Rules
Class Notes #28: Implicit Differentiation; Maxima, Minima and Inflection Points
Read Chapter 2, Section 7 on Implicit Differentiation
Do problems for this section as assigned in the document Text Problem Assignments
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Assignment 21
There is an optional open qa for this assignment. The concept and application of Related Rates is a common point of difficulty for students.
Read Chapter 2, Section 8 on Related Rates
Do problems for this section as assigned in the document Text Problem Assignments
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Assignments 22-29: Some Applications of the Derivative
Assignment 22
Complete Chapter 2 Test in Learning Lab
Read Chapter 3, Section 1 on Increasing and Decreasing Functions
Do problems for this section as assigned in the document Text Problem Assignments
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Assignment 23
Read Chapter 3, Section 2 on Extrema and First-Derivative Test
Do problems for this section as assigned in the document Text Problem Assignments
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Assignment 24
Read Chapter 3, Section 3 on Concavity and the Second-Derivative Test
Do problems for this section as assigned in the document Text Problem Assignments
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Assignment 25
Read Chapter 3, Section 4 on Optimization Problems
Class Notes #29: Local Maxima and Minima; Families of Functions
Class Notes #30: Families of Functions; Optimization
Class Notes #31: Optimization
Do problems for this section as assigned in the document Text Problem Assignments
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Assignment 26
Read Chapter 3, Section 5 on Business and Economics Applications
Do problems for this section as assigned in the document Text Problem Assignments
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Assignment 27
Read Chapter 3, Section 6 on Asymptotes
Section 3.6, Problems 1, 3, 6, 7, 10, 11, 14, 16, 17, 21, 24, 27, 29, 33, 34, 35, 36, 39, 43, 45, 50, 52, 55, 59, 60
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Assignment 28
Read Chapter 3, Section 7 on Curve Sketching
Section 3.7, Problems 3, 6, 9, 12, 18, 24, 29, 32, 34, 37, 45, 48, 52, 53
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Assignment 29
Read Chapter 3, Section 8 on Differentials and Marginal Analysis
Class Notes #36: Marginality
Section 3.8, Problems 3, 4, 6, 12, 13, 17, 18, 21, 22, 25, 28, 31, 35, 39, 42
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Complete Chapter 3 Test