# MATH 1226 Course Page

MATH 1226 is a four-credit second-semester calculus course that is included in the Pathways curriculum for Quantitative and Computational Thinking. 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.

**Text: **Calculus: Early Transcendentals by Stewart (9^{th} edition) with WebAssign access

**Prerequisites: **MATH 1225 (minimum grade of C–)

Download the Complete Syllabus with Problem Assignments (PDF)

Section | Topic |
---|---|

5.5 | The Substitution Rule |

5.2 | The Definite Integral |

6.1 | Areas Between Curves |

6.2 | Volumes |

6.4 | Work |

6.5 | Average Value of a Function |

7.1 | Integration by Parts |

7.2 | Trigonometric Integrals |

7.3 | Trigonometric Substitution |

Section | Topic |
---|---|

7.4 | Integration by Partial Fractions |

7.5 | Strategies for Integration |

7.7 | Approximate Integration |

6.1 | Income Inequality and the Gini Index |

8.3 | Centers of Mass |

4.4 | Indeterminate Forms |

7.8 | Improper Integrals |

8.5 | Probability |

Section | Topic |
---|---|

11.1 | Sequences |

11.2 | Series |

11.3 | The Integral Test |

11.4 | The Comparison Tests |

11.5 | Alternating Series and Absolute Convergence |

11.6 | The Ratio and Root Tests |

11.7 | Strategies for Testing Series |

11.8 | Power Series |

11.9 | Representations of Functions as Power Series |

11.10 | Taylor and Maclaurin Series |

11.11 | Applications of Taylor Polynomials |

Section | Topic |
---|---|

10.1 | Curves defined by Parametric Equations |

10.2 | Calculus of Parametric Curves |

10.3 | Polar Coordinates |

The final exam is a **Common Time Exam** and consists of two parts:

**Common Exam**

This test is a multiple choice exam taken by all sections of MATH 1226. Samples of Common Time Final Exams given in previous years are available (koofers).**Free Response Exam**

Your instructor will give you information on what to expect for the second portion of the exam.

**Note:**

- Both portions of this exam will be administered in person. The exam is
**NOT**scheduled in your regular classroom. Rooms for the exam will be announced near the end of the semester. - The final exam time is fixed and will not be rescheduled for discretionary reasons, including conflicts with work schedules or exams for classes at other colleges.
- If there is a conflict with the final in another class, follow the procedures proposed by your college to reschedule an exam. Exams of courses that have a common-time final have priority and the exam for the other course should be rescheduled.

Check the timetable or your instructor's Canvas course site for the date and time of your final exam.

See the Timetable of classes for information on current offerings of MATH 1226

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.

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

Not passing the Basic Skills Review may indicate that you are better suited to take MATH 1225 this semester; please consult your instructor or advisor if you do not pass the Basic Skills Review.

The MATH 1226 Basic Skills Review is comprised of 6 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 considered passing.

The MATH 1226 Basic Skills Review is an online assessment, comprised of 6 questions. A score of 5 is considered passing.

The Basic Skills Review covers differentiation and basic integration, including u-substitution.

A student may make ** three** total attempts at the Basic Skills Review.

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.

The Basic Skills Review will become available to **all students enrolled in MATH 1226 on the first day of the semester**.

Check your instructor's Canvas course site for more information on accessing the Basic Skills Review.

Not passing the Basic Skills Review may indicate that you are better suited to take MATH 1225 this semester; please consult your instructor or advisor if you do not pass the Basic Skills Review.

The MATH 1226 Basic Skills Review will become available to all students enrolled in **MATH 1226 on the first day of the semester**.

Check your instructor's Canvas course site for more information on accessing the Basic Skills Review.

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/

If you need extra help with course materials:

- Check your course Canvas site for your instructor's office hours.
- Visit the Mathematics Department Tutoring Information Page.

Trigonometry:

- The Units on Trigonometry from the Math 1014 on-line materials provide a detailed review of the trigonometry necessary for Math 1226.

Derivatives:

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

Algebra:

- The Math 1014 online materials provide a good review of algebra.

If you are currently enrolled in MATH 1226, you can contact your instructor through your Canvas course website.

If you have any general questions or concerns about MATH 1226, you can email the course coordinators at 1226coordinator@math.vt.edu.