January 24:

Basic Skills Review due January 31. Free Tutoring Mondays and Wednesdays, 6–8 pm in the Slusher ARC.

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, May 10th 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
22–25 Jan 15.5The Substitution Rule
25.2The Definite Integral
36.1Areas Between Curves
28 Jan–1 Feb 16.2Volumes by Cross-Sections
26.2Volumes by Discs and Washers
36.3Volumes by Cylindrical Shells
46.4Work (Springs and Ropes)
4–8 Feb 16.4Work (Pumping Liquid)
26.5Average Value of a Function
37.1Integration by Parts
47.1Integration by Parts
11–15 Feb 17.2Trigonometric Integrals (Sine/Cosine)
27.2Trigonometric Integrals (Secant/Tangent)
37.3Trigonometric Substitution
47.3Trigonometric Substitution
18–22 Feb 1Review
2Test 1
37.4Integration by Partial Fractions
47.4Integration by Partial Fractions
25 Feb–1 Mar 17.5Strategies for Integration
27.7Approximate Integration
34.4Indeterminate Forms and L'Hôpital's Rule
44.4Indeterminate Forms and L'Hôpital's Rule (Exponential)
4–8 Mar 17.8Improper Integrals
27.8Improper Integrals
38.3Centers of Mass
48.3Centers of Mass
9–17 Mar Spring Break!
18–22 Mar 18.5Probability
28.5Probability
3Review
4Test 2
25–29 Mar 111.1Convergent and Divergent Sequences
211.1/11.2Sequences and Series
311.2Series
411.3The Integral Test
1–5 Apr 111.3The Integral Test
211.4The Comparison Tests
311.4The Comparison Tests
411.5Alternating Series
8–12 Apr 111.6Absolute Convergence
211.6Ratio and Root Tests
311.7Strategies for Testing Series
411.8Power Series
15–19 Apr 111.9Representations of Functions as Power Series
211.10Taylor and Maclaurin Series
311.10Taylor and Maclaurin Series
411.11Applications of Taylor Polynomials
22–26 Apr 111.11/suppTaylor Polynomials and tpolytool
2Review
3Test 3
410.1Curves defined by Parametric Equations
29 Apr–3 May 110.2Calculus of Parametric Curves
210.3Polar Coordinates
310.3Polar Coordinates
4Review
6–8 May 1Review
2Review
3Review
Final Exam (Friday, May 10, 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 (Tuesday, January 22) 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 31.

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 Erika Rappold.

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 332, 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 Spring 2019. Returning students, please note this change!

Additional Resources

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

  • (Spring 2019) The Student Success Center also offers walk-in tutoring at these times:
    • Mondays, Wednesdays, 6–8pm, Slusher ARC
    • Tuesdays, 7–9pm, Newman Library, study area next to 207A
  • 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 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

15905Rutuja KshirsagarMWF12:20pm–1:10pmMCB 209
Tu12:30pm–1:20pmWHIT 349
15906Maziar Ouliaei-NiaMWF12:20pm–1:10pmSURGE 104D
Th12:30pm–1:20pmROB 105
15907Birgül KoçMWF1:25pm–2:15pmGOODW 155
Th8:00am–8:50amGBJ 104
15908Hamidullah FarhatMWF4:00pm–4:50pmAA 114
Th9:30am–10:20amMCB 332
15909Josh BrooksMWF12:20pm–1:10pmMCB 126
Tu12:30pm–1:20pmMCB 307
15910Qiao ZhuangMWF12:20pm–1:10pmDURHM 261
Tu5:00pm–5:50pmLITRV 1760
15911Hamidullah FarhatMWF11:15am–12:05pmMCB 126
Th11:00am–11:50amMCB 209
15912Changhou MouMWThF8:00am–8:50amMCB 224
15913Hamidullah FarhatMWF12:20pm–1:10pmWLH 350
Th12:30pm–1:20pmGBJ 100
15914Josh BrooksMWF4:00pm–4:50pmWAL 234
Tu5:00pm–5:50pmMCB 231
15915Haroun MeghaichiMTuWF8:00am–8:50amMCB 226
15916Stephanie GambleMWF1:25pm–2:15pmWLH 335
Th12:30pm–1:20pmMCB 307
15917Maziar Ouliaei-NiaMWF11:15am–12:05pmSURGE 104C
Th11:00am–11:50amWMS 220
15919Jessica ThompsonMWF10:10am–11:00amMCB 304
Tu9:30am–10:20amMCB 304
15920Erika RappoldMWF11:15am–12:05pmWLH 345
Tu11:00am–11:50amMCB 209
15921Taewon ChoMWF10:10am–11:00amGBJ 100
Tu8:00am–8:50amMCB 126
15922Yuriy BulkaMWF1:25pm–2:15pmSURGE 104D
Tu2:00pm–2:50pmSURGE 104C
15923Songul AslanMWF10:10am–11:00amRAND 221
Tu11:00am–11:50amWMS 220
15924Teshome BalkewMTuWF8:00am–8:50amMCB 230
15926Josh BrooksMWF1:25pm–2:15pmMCB 307
Tu2:00pm–2:50pmMCB 209
15927Francisco RomeroMWF8:00am–8:50amMCB 209
Th3:30pm–4:20pmLITRV 1760
15929Teshome BalkewMWF9:05am–9:55amMCB 321
Tu9:30am–10:20amWLH 335
15930Nicholas RojinaMWF11:15am–12:05pmGBJ 102
Tu8:00am–8:50amGBJ 104
15931Benjamin GoodberryMWF1:25pm–2:15pmSMYTH 331
Th2:00pm–2:50pmHutch 310
15932Nilton GarciaMWThF8:00am–8:50amMCB 231
15933Sarah KerriganMWF1:25pm–2:15pmMCB 218
Tu12:30pm–1:20pmMCB 318
15934Yuriy BulkaMWF10:10am–11:00amMCB 231
Tu9:30am–10:20amMCB 232
15935Steven SilberMWF4:00pm–4:50pmGBJ 102
Tu3:30pm–4:20pmLITRV 1760
19427William WinterMWF9:05am–9:55amWLH 345
Th9:30am–10:20amWLH 335
20340Mehdi BouhafaraMWF1:25pm–2:15pmWAL 234
Th9:30am–10:20amMCB 304
20341David OetjenMWF9:05am–9:55amMCB 212
Th8:00am–8:50amMCB 304

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/