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MATH 1225 Course Page

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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 (9th 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:
 Required Score 
 AP Calculus AB 4 or 5
AP Calculus BC 3, 4, or 5
CLEP Calculus 64 - 80
IB Higher Level
Analysis & Approaches 
Completion of the Certificate or Diploma
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:

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:

  1. 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).
  2. Free Response Exam 
    Your instructor will give you information on what to expect for the second portion of the exam.


  • 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

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.



  • The Units on Trigonometry from the Math 1014 on-line materials  provide a detailed review of the trigonometry necessary for MATH 1225.


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