Homework Exercises: Procedural Skills
Summer
2003
Exercise sets in the textbook are grouped by topic. For each section of the textbook that we will cover in this course, we have assigned topics that correspond to those basic procedural skills that we want you to focus on when you study. You will not need to turn in these assigned exercises, but you should work enough of the odd-numbered exercises to feel comfortable with the topic. We encourage you to work these exercises with other students in class, seek help in Math Lab, and get help from your instructor during office hours.
After you think you have mastered the topics, you should take a MapleTA-based homework quiz. These quiz questions will be similar to the assigned exercises. In general, the deadline for taking the quiz is Wednesday, if the section is covered on Monday, Thursday if the section is coverer on Tuesday, an on Monday if the section is covered on Wednesday or Thursday. Deadlines for taking these homework quizzes are indicated below.
Your individual performance on these homework quizzes should give you some indication of how well you are preparing yourself for exams. In order for this indication of exam preparation to be meaningful to you, we expect that you will work the questions on these homework quizzes with paper-pencil-mind and with your textbook on hand, but that you will not use Maple to produce answers.
Section 2.8:
Derivatives of Inverse Trigonometric Functions
QUIZ by JUNE 11
Finding Derivatives [1-17]
Theory and Examples [19-21]
End Behavior Models
[27-30]
Section 4.5: The Mean Value
and Fundamental Theorems
QUIZ by JUNE 12
Evaluating Integrals [1-14]
Derivatives of Integrals [15-24]
Evaluating Integrals using Substitution [25-28]
Initial Value Problems [29-32]
Area [33-38]
Section 4.6: Substitution in
Definite Integrals
QUIZ by JUNE 16
Substitution [1-16]
Initial Value Problems [17-18]
Area [19-24]
Section 4.7: Numerical
Integration
QUIZ by June 16
Estimating Integrals [1-14]
Section 5.1: Volumes by
Slicing and Revolution around and Axis
QUIZ by JUNE 19
Cross-Section Areas [1-2]
Solids of Revolution: Circular Cross Section [13-30]
Solids of Revolution: Washer Cross Section [31-44]
Volumes of Solids of Revolution [45-48]
Section 5.2: Modeling Volumes
Using Cylindrical Shells
QUIZ by June 23
Exercises 1-6
Revolution About the y-axis [7-14]
Revolution About the x-axis [15-22]
Revolution About Horizontal
Lines [23-24]
Sections P6, 2.5 and 5.3:
Parametric Equation Review and Lengths of Plane Curves
QUIZ by June 23
P6...Finding Cartesian Equations from Parametric Curves [1-18 page 65]
2.5...Tangents to Parametric Curves [33-40 page 195]
5.3...Finding Lengths of Curves [1-5]
5.3...Lengths Lengths of
Parameterized Curves [6-16]
Section 5.4: First-Order
Separable Differential Equations
QUIZ by June 25
Verifying Solutions [1-4]
Separable Equations [5-14]
Section 6.1:
Logarithms
QUIZ by June 26
Derivatives of Logarithms [1-26]
Integration
[29-46]
Section 6.2: Exponential
Functions
QUIZ by June 30
Derivatives of Natural Exponentials [1-14]
Implicit Differentiation [15-18]
Integrals of Natural Exponentials [19-32]
Derivatives of General Exponentials [33-44]
Logarithmic Differentiation [45-48]
Integrals of General Exponentials [49-56]
Initial Value Problems
[57-60]
Section 6.3: Linear
First-Order Differential Equations
QUIZ by June 30
Linear First-Order Equations [1-14]
Solving Initial Value Problems
[15-20]
Section 6.4: Euler's Method;
Population Models
QUIZ by July 2
Calculating Euler Approximations [1-6]
Section 6.5: Hyperbolic
Functions
QUIZ by July 3
Hyperbolic Function Values and Identities [1-8]
Derivatives [13-36]
Indefinite Integrals [41-50]
Definite Integrals [51-60]
Evaluating Inverse Hyperbolic
Functions and Related Integrals [67-74]
Section 7.1: Basic Integration
Formulas
QUIZ by July 7
Basic Substitutions [1-36]
Completing the Square [37-42]
Trigonometric Identities [43-46]
Improper Fractions [47-52]
Separating Fractions [53-56]
Multiplying by a Form of 1 [57-62]
Eliminating Square Roots [63-70]
Section 7.2: Integration by
Parts
QUIZ by July 7
Integration by Parts [1-24]
Substitution and Integration by Parts [25-30]
Section 7.3: Partial
Fractions
QUIZ by July 9
Expanding Quotients into Partial Fractions [1-8]
Nonrepeated Linear Factors [9-16]
Repeated Linear Factors [17-20]
Irreducible Quadratic Factors [21-28]
Improper Fractions [29-34]
Evaluating Integrals
[35-40]
Section 7.4: Trigonometric
Substitutions
QUIZ by July 10
Basic Trigonometric Substitutions [1-18]
Combining Substitutions [19-26]
Section 7.6: l'Hospital's
Rule
QUIZ by July 14
Finding Limits [1-6]
Applying l'Hospital's
Rule [7-38]
Section 7.7: Improper
Integrals
QUIZ by July 14
Identifying Improper Integrals [1-6]
Evaluating Improper Integrals [7-34]
Testing For Convergence
[35-64]
Section 8.1: Limits of
Sequences and Series
QUIZ by July 16
Finding Terms of a Sequence [1-4]
Finding Formulas for Sequences [5-12]
Finding Limits [13-56]
Section 8.2: Subsequences,
Bounded Sequences
QUIZ by July 17
Finding Terms of a Recursively Defined Sequence [1-6]
Theory and Examples [11-19]
Section 8.3: Infinite
Series
QUIZ by July 21
Finding nth Partial Sums [1-6]
Series with Geometric Terms [7-12]
Telescoping Series [13-18]
Convergence or Divergence [19-32]
Geometric Series [33-40]
Section 8.4: Series of
Nonnegative Terms
QUIZ by July 21
Integral Test [1-8]
Direct Comparison Test [9-14]
Limit Comparison Test [15-20]
Ratio Test [21-28]
Root Test [29-34]
Determining Convergence or
Divergence [35-60]
Section 8.5: Alternating
Series, Absolute Convergence and Conditional Convergence
QUIZ by July 23
Determining Convergence or Divergence [1-10]
Absolute Versus Conditional
Convergence [11-44]
Section 8.6: Power
Series
QUIZ by July 24
Intervals of Convergence [1-32]
Geometric Series in x
[33-38]
Section 8.7: Taylor and
Maclaurin Series
QUIZ by July 28
Finding Taylor Polynomials [1-6]
Finding Maclaurin Series [7-14]
Finding Taylor Series [15-20]
Maclaurin Series by Substitution [21-24]
More Maclaurin Series
[25-34]
Section 8.8: Applications of
Power Series
QUIZ by July 28
Binomial Series [1-14]