February 4:

Weekly review sessions on Mondays and Tuesdays. Check the "Getting Help" page for more info!

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 Tuesday, May 12th at 1:05 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
21–24 Jan 15.5The Substitution Rule
25.2The Definite Integral
36.1Areas Between Curves
27–31 Jan 16.2Volumes by Cross-Sections
26.2Volumes by Discs and Washers
36.3Volumes by Cylindrical Shells
46.4Work (Springs and Ropes)
3–7 Feb 16.4Work (Pumping Liquid)
26.5Average Value of a Function
37.1Integration by Parts
47.1Integration by Parts
10–14 Feb 17.2Trigonometric Integrals (Sine/Cosine)
27.2Trigonometric Integrals (Secant/Tangent)
37.3Trigonometric Substitution
47.3Trigonometric Substitution
17–21 Feb 1Review
2Test 1
37.4Integration by Partial Fractions
47.4Integration by Partial Fractions
24–28 Feb 17.5Strategies for Integration
27.7Approximate Integration
36.1Income Inequality and the Gini Index
48.3Centers of Mass
2–6 Mar 14.4Indeterminate Forms and L'Hôpital's Rule
24.4Indeterminate Forms and L'Hôpital's Rule (Exponential)
37.8Improper Integrals
47.8Improper Integrals
7–15 Mar Spring Break
16–20 Mar 18.5Probability
2Review
3Test 2
411.1Convergent and Divergent Sequences
23–27 Mar 111.1/11.2Sequences and Series
211.2Series
311.3The Integral Test
411.3The Integral Test
30 Mar–3 Apr 111.4The Comparison Tests
211.4The Comparison Tests
311.5Alternating Series
411.6Absolute Convergence
6–10 Apr 111.6Ratio and Root Tests
211.7Strategies for Testing Series
311.7Strategies for Testing Series
411.8Power Series
13–17 Apr 111.9Representations of Functions as Power Series
211.10Taylor and Maclaurin Series
311.10Taylor and Maclaurin Series
411.11Applications of Taylor Polynomials
20–24 Apr 111.11/suppTaylor Polynomials and tpolytool
2Review
3Test 3
410.1Curves defined by Parametric Equations
27 Apr–1 May 110.2Calculus of Parametric Curves
210.3Polar Coordinates
310.3Polar Coordinates
4Review
4–6 May 1Review
2Review
3Review
Final Exam (Tuesday, May 12, 1:05–3:05pm)

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 (Tuesday, January 21) by clicking on "Start Basics Skills Review" on the left. The deadline for successfully completing the Basic Skills Review is at midnight on Thursday, January 30.

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 or Josh Brooks.

Getting help in Math 1226

Individual help from your instructor

You may (and should!) visit your instructor during office hours. Go to your Math 1226 instructor's Canvas site 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 316, is open from 5:30–9:00 pm Sundays through Thursdays when classes are in session. There is no charge for tutoring in the Mathematics Department Tutoring Lab.

Additional Resources

  • The Student Success Center offers individual tutoring by appointment for Math 1226 and many other subjects. You can schedule an appointment with them on this page.

  • The Student Success Center also offers walk-in tutoring at these times:
    • Mondays, 6–8pm, Slusher ARC (1st floor)
    • Tuesdays, 6–8pm, McB 321
  • Click here if you would like information about other tutoring options, including paid private tutors.



Working with WebAssign

You can log into WebAssign directly through Canvas.

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 6 ½) as multiplication, so an answer like that would be counted correct for a problem whose answer was actually 3, but incorrect for a problem whose answer was 13/2.
     

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

16321Yunyi ShenMWF10:10–11:00amMCB 321
Tu9:30–10:20amMCB 240
16322Everett SullivanMWF11:15am–12:05pmMCB 321
Th11:00–11:50amWLH 345
16323Kaveh KasebianMTuWF8:00–8:50amMCB 226
16324Yunyi ShenMWF11:15am–12:05pmMCB 304
Tu11:00–11:50amWLH 345
16325Numann MalikMWF12:20–1:10pmMCB 126
Th12:30–1:20pmMCB 126
16326Xin YangMWF4:00–4:50pmMCB 230
Tu5:00–5:50pmMCB 232
16327Stephanie GambleMWF1:25–2:15pmWLH 345
Th12:30–1:20pmMCB 304
16328Yunyi ShenMWF1:25–2:15pmMCB 332
Tu12:30–1:20pmMCB 304
16329Josh BrooksMWF10:10–11:00amMCB 304
Tu9:30–10:20amWLH 345
16330Daniel JunkerMWF10:10–11:00amFRALN 002
Tu11:00–11:50amMCB 318
16331Ted JusteMWF12:20–1:10pmPAM 1003
Th12:30–1:20pmMCB 332
16332Kaveh KasebianMWF12:20–1:10pmPAM 1004
Tu12:30–1:20pmRAND 211
16333John BurlesonMWThF8:00–8:50amMCB 316
16334Ted JusteMWF11:15am–12:05pmPAM 1003
Th11:00–11:50amMCB 209
16335Everett SullivanMWF1:25–2:15pmWMS 220
Th2:00–2:50pmMCB 209
16336Ted JusteMWThF8:00–8:50amMCB 302
16337Numann MalikMWF1:25–2:15pmMCB 307
Th2:00–2:50pmMCB 307
16338Kaveh KasebianMWF9:05–9:55amMCB 318
Tu9:30–10:20amMCB 308
16339CJ LungstrumMWF11:15am–12:05pmMCB 329
Th9:30–10:20amWLH 345
16340Xin YangMWF1:25–2:15pmMCB 209
Tu2:00–2:50pmMCB 332
16341CJ LungstrumMWF12:20–1:10pmMCB 321
Th12:30–1:20pmRAND 110
16342Xin YangMWF12:20–1:10pmMCB 307
Tu12:30–1:20pmMCB 126
16343Everett SullivanMWF4:00–4:50pmMCB 232
Th3:30–4:20pmWLH 335
16344Carlos NicolasMWF4:00–4:50pmMCB 304
Tu3:30–4:20pmMCB 332
16345Marcie TiraphatnaMTuWF8:00–8:50amMCB 233
16346Shuai JiangMWF10:10–11:00amPAM 1008
Tu8:00–8:50amMCB 308
16347Carlos NicolasMWF1:25–2:15pmMCB 321
Tu2:00–2:50pmMCB 209
16348Sarah KerriganMWThF8:00–8:50amMCB 328
16349Ahsan ChowdhuryMWF8:00–8:50amRAND 116
Th8:00–8:50amMCB 233
16350Daniel ValvoMWF1:25–2:15pmPAM 1008
Th12:30–1:20pmRAND 211
16351CJ LungstrumMWF9:05–9:55amWLH 345
Th8:00–8:50amMCB 332
20615Jessica ThompsonMWF10:10–11:00amMCB 126
Tu9:30–10:20amMCB 307
20616Carlos NicolasMWF11:15am–12:05pmMCB 209
Tu11:00–11:50amMCB 209
20617Jiaqi ZhangMTuWF8:00–8:50amMCB 231
20618Josh BrooksMWF4:00–4:50pmMCB 231
Tu3:30–4:20pmMCB 134
20619David OetjenMWF9:05–9:55amMCB 329
Tu8:00–8:50amMCB 332
21360Qiao ZhuangMWF11:15am–12:05pmNCB 110A
Tu8:00–8:50amRAND 120
21361Sean SovineMWF12:20–1:10pmPAM 2028
Th8:00–8:50amRAND 120
21400Teshome BalkewMWF11:15am–12:05pmROB 103
Tu8:00–8:50amMCB 328
21401Numann MalikMWThF8:00–8:50amRAND 110

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/

Course Coordinators

Please feel free to email Josh Brooks 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.