October 1: Last day for students to drop Fall 2018 classes without grade penalty (deadline is 11:59 p.m.). Last day to change grade option from A-F to P/F (deadline 5:00 p.m.). Visit University Registrar in 250 Student Services Building to process a grade change option. If you are enrolled in only one course, you cannot drop your final hours, but must officially resign from the university for the semester. Your refund will be calculated according to the university refund policy on resignations.

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.

Office Hours

For individual instructor's office hours see instructors' webpages.

Check the Getting Help for 1226 page for more information on how to get help.

Final Exam

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.

Syllabus

Download complete syllabus with assignment sheet (PDF)

WeekDaySectionTopic
20–24 Aug 15.5The Substitution Rule
25.2The Definite Integral
36.1Areas Between Curves
46.2Volumes by Cross-Sections
27–31 Aug 16.2Volumes by Discs and Washers
26.3Volumes by Cylindrical Shells
36.4Work (Springs and Ropes)
46.4Work (Pumping Liquid)
3–7 Sept 1Labor Day (Monday, September 3)
26.5Volumes by Cylindrical Shells
37.1Integration by Parts
47.1Integration by Parts
10–14 Sept 17.2Trigonometric Integrals (Sine/Cosine)
27.2Trigonometric Integrals (Secant/Tangent)
37.3Trigonometric Substitution
47.3Trigonometric Substitution
17–21 Sept 1Review
2Test 1
37.4Integration by Partial Fractions
47.4Integration by Partial Fractions
24–28 Sept 17.5Strategies for Integration
27.7Approximate Integration
34.4Indeterminate Forms and L'Hôpital's Rule
44.4Indeterminate Forms and L'Hôpital's Rule (Exponential)
1–5 Oct 17.8Improper Integrals
27.8Improper Integrals
38.3Centers of Mass
48.3Centers of Mass
8–12 Oct 18.5Probability
28.5Probability
3Review
4Test 2
15–19 Oct 111.1Convergent and Divergent Sequences
211.1/11.2Sequences and Series
311.2Series
4Fall Break (Friday, October 19)
22–26 Oct 111.3The Integral Test
211.3The Integral Test
311.4The Comparison Tests
411.4The Comparison Tests
29 Oct–​2 Nov 111.5Alternating Series
211.6Absolute Convergence
311.6Ratio and Root Tests
411.7Strategies for Testing Series
5–9 Nov 111.8Power Series
211.9Representations of Functions as Power Series
311.10Taylor and Maclaurin Series
411.10Taylor and Maclaurin Series
12–16 Nov 111.11Applications of Taylor Polynomials
211.11/suppTaylor Polynomials and tpolytool
3Review
4Test 3
Thanksgiving Break (November 17–25)
26–30 Nov 110.1Curves defined by Parametric Equations
210.2Calculus of Parametric Curves
310.3Polar Coordinates
410.3Polar Coordinates
3–7 Dec 1Review
2Review
3Review
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.)

If you have any questions, please contact Heath Hart at heathdav@math.vt.edu.

Getting help in Math 1226

Individual help from your instructor

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.

Taylor Polynomial MATLAB Tool: mfile · instructions

Section Information

85736 Justin Krueger MWF 10:10–11:00am PAM 2030
T 9:30–10:20am WLH 320
85737 Teshome Balkew MWF 1:25–2:15pm WLH 350
T 2:00–2:50pm WLH 350
85738 Erika Rappold MWF 11:15am–12:05pm ROB 105
T 11:00–11:50am WLH 330
85739 Heath David Hart MWF 11:15am–12:05pm DER 3083
R 11:00–11:50am WLH 330
85740 Teshome Balkew MWF 12:20–1:10pm GBJ 102
T 12:30–1:20pm WLH 340
85741 Yuriy Bulka MTWF 8:00–8:50am HOLD 110
85742 Ruchi Guo MWF 2:30–3:20pm RAND 331
T 2:00–2:50pm RAND 331
85743 William Winter MWF 2:30–3:20pm GOODW 145
R 2:00–2:50pm WLH 330
85744 Andrea Carracedo-Rodriguez MWF 10:10–11:00am PAM 30
R 9:30–10:20am WLH 320
85745 Maziar Ouliaei-Nia MWRF 8:00–8:50am SURGE 103A
85746 Susan Anderson MWF 1:25–2:15pm ROB 105
R 2:00–2:50pm WLH 350
85747 Justin Krueger MWF 1:25–2:15pm RAND 331
T 2:00–2:50pm SURGE 104D
85748 Maziar Ouliaei-Nia MWF 12:20–1:10pm GOODW 145
R 12:30–1:20pm WLH 340
85749 Daniel Kim MTWF 8:00–8:50am GOODW 155
85750 Maziar Ouliaei-Nia MWF 9:05–9:55am SURGE 107
R 9:30–10:20am NCB 250
85751 Justin Krueger MWF 12:20–1:10pm McB 113
T 12:30–1:20pm DER 3083
89546 Yuriy Bulka MWF 9:05–9:55am GBJ 100
T 9:30–10:20am NCB 250

Honor System Information

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.

For additional information about the Honor Code, please visit https://www.honorsystem.vt.edu/