# MATH 1225 Course Page

MATH 1225 is a four-credit first-semester calculus course that is included in the Pathways curriculum for Quantitative and Computational Thinking. The main topics covered are limits, continuity, differentiation, and integration.

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

**Prerequisites:** To be eligible to enroll in MATH 1225 at VT, you must

- earn a passing score on a MATH 1225 Placement Assessment. Read more information in the MATH 1225 Placement FAQs.

- OR-

- earn a qualifying grade (
**2022-23 Academic Year: C- or better**) in MATH 1214.

- OR-

- have a qualifying score on one of the following exams:

Test |
Required Score |
---|---|

AP Calculus AB | 4 or 5 |

AP Calculus BC | 3, 4, or 5 |

CLEP Calculus | 64 - 80 |

IB Higher Level Mathematics: Analysis & Approaches |
Completion of the Certificate or Diploma AND 5, 6, or 7 |

**IMPORTANT:** Your score must be reported to Virginia Tech and appear on your VT academic record in Hokie Spa.

Download the Complete Syllabus with Problem Assignments (PDF)

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

2.1 | Tangent and Velocity Problems |

2.2 | The Limit of a Function |

2.3 | Calculating Limits using Limit Laws |

2.4 | The Precise Definition of a Limit |

2.5 | Continuity |

2.6 | Limits at Infinity; Horizontal Asymptotes |

2.7 | Derivatives and Rates of Change |

2.8 | The Derivative as a Function |

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

3.1 | Derivatives of Polynomials and Exponentials |

3.2 | The Product and Quotient Rules |

3.3 | Derivatives of Trigonometric Functions |

3.4 | The Chain Rule |

3.5 | Implicit Differentiation |

3.6 | Derivatives of Logarithmic Functions |

3.7 | Rates of Change (Particle Motion) |

3.9 | Related Rates |

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

3.10 | Linear Approximations and Differentials |

4.8 | Newton's Method |

4.1 | Maximum and Minimum Values |

4.2 | The Mean Value Theorem |

4.3 | What Derivatives Tell Us about the Shape of a Graph |

4.5 | Summary of Curve Sketching |

4.7 | Optimization Problems |

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

4.9 | Antiderivatives |

5.1 | Areas and Distances |

5.2 | The Definite Integral |

5.3 | The Fundamental Theorem of Calculus |

5.4 | Indefinite Integrals and the Net Change Theorem |

5.5 | The Substitution Rule |

Math 1225 has **4 common-time midterms **and a **common final exam**.

The 4 midterm exams are **administered in person outside of regular class time**.

- The midterm exams are 1 hour and 15 minutes in length, and they consist of both free response and multiple choice questions.
- All midterm exams should be completed without a textbook or any other course materials including a calculator.

Students who need accommodations or have scheduling conflicts should contact their instructor. The makeup exam policy can be found on your instructor's course policy sheet.

The Math 1225 Midterm Tests will be given on the following dates:

Exam |
Date |
Time |

Exam 1 | Monday, February 13, 2023 | 7-8:15 pm |

Exam 2 | Monday, March 20, 2023 | 7-8:15 pm |

Exam 3 | Monday, April 10, 2023 | 7-8:15 pm |

Exam 4 | Wednesday, April 26, 2023 | 7-8:15 pm |

The exam location is often different than your lecture classroom. Midterm Exams 1 - 4 will be given in the following rooms, listed by teacher:

INSTRUCTOR |
ROOM |

Caruso, Peter | McBryde 209 |

Elsrrawi, Fariha | Goodwin 190 |

Gaitan, José | McBryde 218 |

Heitzman-Breen, Nora | McBryde 224 |

Jones, Paul | Goodwin 190 |

Li, Yichen | McBryde 226 |

McDonald, Ashlyn | McBryde 230 |

Moore, Ian | McBryde 231 |

Nguyen, Ba | New Classroom Building 360 |

Park, Dylan | McBryde 232 |

Perera, Menuja | Torgersen 2150 |

Pidaparthi, Sarma | Torgersen 2150 |

Scarlett, Varun | McBryde 238 |

Shaplin, Rick | McBryde 304 |

Smucker, Jenny | McBryde 307 |

Summers, Kevin | McBryde 240 |

Accommodations | Randolph 209 |

Late Start | McBryde 136 |

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 1225. 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 1225

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.

Your instructor may indicate additional Honor Code conditions. Please refer to your instructor's course policy sheet for additional information.

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.
- Come to the
**Wednesday Night Help Sessions from 7 - 9 pm in the New Classroom Building 320.** - 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 1225.

Algebra:

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

If you are currently enrolled in MATH 1225, you can contact your instructor through your Canvas course website.

If you have any general questions or concerns about MATH 1225, you can email the course coordinators at 1225coordinator@math.vt.edu.