Math 1226 is a four-credit second-semester
calculus course. Topics of study include
techniques and applications of integration,
Trapezoidal and Simpson’s rules, improper
integrals, sequences and series, power series,
parametric curves and polar coordinates.
Software-based techniques will be emphasized.

Course Information

Text

Calculus: Early Transcendentals by Stewart (8th edition)

Prerequisite:

The prerequisite for this class is Math 1225 (minimum grade of C–).

Course Contents

The course will follow the 1226 syllabus.
The main topics covered are techniques and applications of integration,
Trapezoidal and Simpson’s rules, improper integrals, sequences and series,
power series, parametric curves and polar coordinates. Software-based techniques will be emphasized.

Course Format

You will meet with your instructor during four 50-minute classes each week. Class attendance will be taken and recorded. Consult your
instructor for details specific to your course section.

There will be a common final exam on Friday, December 7th at 4:25 pm.
(Locations will be announced at a later date.)
The final exam is a required class meeting that will not be rescheduled for discretionary reasons, including conflicts with work schedules and with classes and exams at other colleges.

Warning: Common-time exams are inflexible. If there is a conflict with the final in
another class that does not have a common-time final, you will be expected
to change the other one.

Honor System

The Undergraduate Honor Code pledge that each member of the university community agrees to abide by states:

“As a Hokie, I will conduct myself with honor and integrity at all times. I will not lie, cheat, or steal, nor will I accept the actions of those who do.”

Students enrolled in this course are responsible for abiding by the Honor Code. A student who has doubts about how the Honor Code applies to any assignment is responsible for obtaining specific guidance from the course instructor before submitting the assignment for evaluation. Ignorance of the rules does not exclude any member of the University community from the requirements and expectations of the Honor Code.
For additional information about the Honor Code, please visit:
https://www.honorsystem.vt.edu/

Attendance and Communication

Class attendance will be taken daily and kept for Mathematics Department records. Students are responsible for course materials and announcements covered in class. Students are also responsible for information delivered via Canvas, Scholar or email.

Accommodations and Special Arrangements

If you need adaptations or accommodations because of a documented disability, if you have emergency medical information that you need to share, or if you need special arrangements in case the building must be evacuated, please make an appointment with your instructor as soon as possible.

Indeterminate Forms and L'Hôpital's Rule (Exponential)

1–5 Oct

1

7.8

Improper Integrals

2

7.8

Improper Integrals

3

8.3

Centers of Mass

4

8.3

Centers of Mass

8–12 Oct

1

8.5

Probability

2

8.5

Probability

3

Review

4

Test 2

15–19 Oct

1

11.1

Convergent and Divergent Sequences

2

11.1/11.2

Sequences and Series

3

11.2

Series

4

Fall Break (Friday, October 19)

22–26 Oct

1

11.3

The Integral Test

2

11.3

The Integral Test

3

11.4

The Comparison Tests

4

11.4

The Comparison Tests

29 Oct–2 Nov

1

11.5

Alternating Series

2

11.6

Absolute Convergence

3

11.6

Ratio and Root Tests

4

11.7

Strategies for Testing Series

5–9 Nov

1

11.8

Power Series

2

11.9

Representations of Functions as Power Series

3

11.10

Taylor and Maclaurin Series

4

11.10

Taylor and Maclaurin Series

12–16 Nov

1

11.11

Applications of Taylor Polynomials

2

11.11/supp

Taylor Polynomials and tpolytool

3

Review

4

Test 3

Thanksgiving Break (November 17–25)

26–30 Nov

1

10.1

Curves defined by Parametric Equations

2

10.2

Calculus of Parametric Curves

3

10.3

Polar Coordinates

4

10.3

Polar Coordinates

3–7 Dec

1

Review

2

Review

3

Review

Final Exam (Friday, December 7, 4:25–6:25pm)

Basic Skills Review

unlimited number of attempts
Your scores are not recorded.

six attempts maximum
Your highest score is recorded; 5 or better is passing.

The Department of Mathematics encourages each student
enrolled in Math 1226 to take, at the beginning of the
term, an online Basic Skills Review covering very basic
concepts from Math 1225.

Practice problems will be available to students
enrolled in Math 1226. To access practice problems
click on the
"Practice for Basic Skills Review"
button.
Once you are logged in, choose the section "Math
1226 (Calculus of a Single Variable)(CRN)" and then
choose the Available Unit "Practice -- Math 1226 Basic
Skills (401)". The practice Basic Skills problems are
constructed identically to the actual Basic Skills
Review problems.

NOTE: The online Basic Skills Review questions do
not include a "+C" on indefinite integral answers.
Consult your instructor if you have questions regarding
expectations on written assignments.

The actual Math 1226 Basic Skills Review will become available to all students enrolled in Math 1226 on the first day of the semester (Monday, August 20) by clicking on "Start Basics Skills Review" on the left. The deadline for successfully completing the Basic Skills Review is
at midnight on Wednesday, August 29.

Some details regarding the review and the departmental
policy follow:

The primary goal of the Math 1226 Basic Skills
Review is to get the students quickly and purposefully
active in doing mathematics they have already seen in
Math 1225 (or equivalent course), though they may have
forgotten some of the material over summer/holiday
breaks. The review will require a quick and timely
reminder of those basic skills from Math 1225 (or
equivalent course) that are essential for success
in Math 1226.

The Math 1226 Basic Skills Review is comprised
of 6 multiple-choice questions covering differentiation
(product rule, quotient rule, trig functions, chain
rule) and basic integration, including u-substitution.
A score of at least 5 correct is passing.

A student may make six total attempts at the
on-the-record Basic Skills Review. There is no
restriction on the number of reviews that can be
attempted in one day.

Students in Math 1226 are urged to take the
Math 1226 Basic Skills Review during the first few
days of classes so that they will have maximum
flexibility in making course schedule adjustments
should that become necessary. Not passing the Basic
Skills Review may indicate that a student is better
suited to take Math 1225 this semester; please consult
your instructor or advisor if you do not pass the
Basic Skills Review.

Students receive immediate results upon submitting
the Math 1226 Basic Skills Review for grading. Hints are
provided for each problem when the graded review is
returned to the student. All past reviews are available
to the student at any time.

Daily updates of student pass/fail status are
available to instructors of all Math 1226 sections.

The practice Math 1226 Basic Skills Review
problems are constructed identically to the actual
review problems, are accessible from anywhere, and are
independent of the platform. (The Basic Skills Review
does not need to be taken at the Math Emporium.)

You may visit your instructor during office hours.
Go to your Math 1226
instructor's webpage
to learn about office hours and office locations.

Tutoring Lab

The Virginia Tech Department of Mathematics has a tutoring lab available to all
students in 1000- or 2000-level courses. The tutoring lab, in McB 240,
is open from 5:00–9:00 pm Sundays through Thursdays when classes are in session.
There is no charge for tutoring in the Mathematics Department Tutoring Lab.

Note: This is a new location for Fall 2018. Returning students, please note this change!

Additional Resources

The Student Success Center offers individual tutoring by appointment for Math 1226 and many other subjects.

Click here if you would like information about other tutoring options, including paid private tutors.

Working with WebAssign

If your instructor has enabled Canvas integration, you can log into WebAssign directly through Canvas without needing a username or a password. Otherwise, your instructor will inform you of how to log into WebAssign.

Do not purchase WebAssign or the textbook through WebAssign's
website. The university bookstore has negotiated a better price.

Here are some tips for working with WebAssign:

Be careful with your parentheses. Make sure they match. Make
sure that you are providing parentheses when they are needed,
and not putting them when they are provided.

Be careful with capitals. WebAssign treats C and c differently. This includes Greek letters. Use the lower-case pi. It is curved.

Be careful with functions. If you enter a trig fuction by typing (rather than using the menu) make sure to include parentheses. Don't use the function "e" if you mean the constant.

Be aware of the time. WebAssign will log you out and not tell you after some time. This will result in your answers just vanishing. Save you answers often to prevent this.

If you answer still has a box in it, WebAssign won't be able to understand it and you will be marked incorrect.

Remember not to round if the question doesn't tell you to. Most answers should be exact. Even if your final answer is going to be rounded, use the exact numbers until the end.

WebAssign treats a mixed number (like 12 ½) as multiplication, so an answer like that would be counted correct for a problem whose answer was actually 6, but incorrect for a problem whose answer was 25/2.

Supplemental Material

On-line
Trigonometry Review
These units on Trigonometry come from the Math 1014 on-line materials
and provide a detailed review of the trigonometry necessary for Math 1226.

On-line Review of Derivatives
These units on derivatives provide a detailed review of derivatives and their rules covered on the Basic Skills
Review.

Review of Algebra
The Math 1014 on-line materials provide a good review of algebra.

The Undergraduate Honor Code pledge that each member of the university community
agrees to abide by states:

“As a Hokie, I will conduct myself with honor and integrity at all times. I will not lie, cheat, or steal, nor will I accept the actions of those who do.”

Students enrolled in this course are responsible for abiding by the Honor Code.
A student who has doubts about how the Honor Code applies to any assignment is
responsible for obtaining specific guidance from the course instructor before
submitting the assignment for evaluation. Ignorance of the rules does not
excuse any member of the University community from the requirements and
expectations of the Honor Code.

Please feel free to email
Erika Rappold
or
Heath David Hart
with any questions or concerns that you have regarding Math 1226. Of course, you should try to resolve matters with your own
instructor
as a first step.

If you prefer to meet with a course coordinator in person, check the following homepages for schedules: