# MAT1225 Calculus of a Single Varible I

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## Math Resources

VT Math 1225 Page
MIT Open CourseWare
Paul's Online Notes
All course materials (notes, homework, solutions) will be posted on the course canvas page. (CRN 85971, CRN 85978, CRN 85986).

## Schedule

Below is a schedule of the semester and roughly what I intend to cover each day. The exam dates are firm.
• Aug 26 - (Section 2.1) The Tangent and Velocity Problems
• Aug 27 - (Section 2.2) The Limit of a Function.
• Aug 28 - (Section 2.2) The Limit of a Function.
• Aug 30 - (Section 2.3) Calculating Limits Using the Limit Laws
• Sep 03 - (Section 2.3) Calculating Limits Using the Limit Laws
• Sep 04 - (Section 2.4) The Precise Definition of a Limit
• Sep 06 - (Section 2.4) The Precise Definition of a Limit
• Sep 09 - (Section 2.5) Continuity
• Sep 10 - (Section 2.5) Continuity
• Sep 11 - (Section 2.5) Continuity
• Sep 13 - (Section 2.6) Limits at Infinity; Horizontal Asymptotes
• Sep 16 - (Section 2.7) Derivatives and Rates of Change
• Sep 17 - (Optional) Review Day
• Sep 18 - (Section 2.8) The Derivative as a Function. Review. EXAM 1 @ 7:00pm in TORG 3100
• Sep 20 - (Section 3.1) Derivatives of Polynomials and Exponentials
• Sep 23 - (Section 3.2) The Product and Quotient Rules
• Sep 24 - (Section 3.3) Derivatives of Trigonometric Functions
• Sep 25 - (Section 3.4) The Chain Rule
• Sep 27 - (Section 3.4) The Chain Rule
• Sep 30 - (Section 3.5) Implicit Differentiation
• Oct 01 - (Section 3.5) Implicit Differentiation
• Oct 02 - (Section 3.6) Derivatves of Logarithmic Functions
• Oct 07 - (Section 3.6) Derivatives of Logarithmic Functions
• Oct 08 - (Section 3.7) Rates of Change in the Natural and Social Sciences
• Oct 09 - (Section 3.9) Related Rates
• Oct 11 - (Section 3.9) Related Rates
• Oct 14 - Review Day
• Oct 15 - (Optional) Review Day
• Oct 16 - (Section 3.10) Linear Approximations and Differentials. EXAM 2 @ 7:00pm in room TORG 3100
• Oct 18 - (Section 4.8) Newton's Method
• Oct 21 - (Section 4.1) Maximum and Minimum Values
• Oct 22 - (Section 4.2) The Mean Value Theorem
• Oct 23 - (Section 4.2) The Mean Value Theorem
• Oct 25 - (Section 4.3) How Derivatives Affect the Shape of a Graph
• Oct 28 - (Section 4.3) How Derivatives Affect the Shape of a Graph
• Oct 29 - (Section 4.3) How Derivatives Affect the Shape of a Graph
• Oct 30 - (Section 4.5) Summary of Curve Sketching
• Nov 01 - (Section 4.7) Optimization Problems
• Nov 04 - (Section 4.7) Optimization Problems. Review
• Nov 05 - (Section 4.9) Antiderivatives
• Nov 06 - (Section 4.9) Antiderivatives. EXAM 3 @ 7:00pm in room TORG 3100
• Nov 08 - (Section 5.1) Areas and Distances
• Nov 11 - (Section 5.1) Areas and Distances
• Nov 12 - (Section 5.2) The Definite Integral
• Nov 13 - (Section 5.2) The Definite Integral
• Nov 15 - (Section 5.3) The Fundamental Theorem of Calculus
• Nov 18 - (Section 5.4) Indefinite Integrals and the Net Change Theorem
• Nov 19 - (Section 5.4) Indefinite Integrals and the Net Change Theorem
• Nov 20 - (Section 5.5) The Substitution Rule
• Dec 02 - (Section 5.5) The Substitution Rule
• Dec 03 - (Optional) Review Day
• Dec 04 - Review Day. EXAM 4 @ 7:00pm in room TORG 3100
• Dec 06 - Review Day
• Dec 09 - Review Day
• Dec 10 - (Optional) Review Day
• Dec 11 - Review Day
• Dec 16 - FINAL EXAM @ 7:00pm in room [TBA]

## Exam Topics

Each exam covers the following sections from the course textbook:
• Exam 1 - Sections 2.1, 2.2, 2.3, 2.4, 2.5, 2.6, 2.7
• Exam 2 - Sections 2.8, 3.1, 3.2, 3.3, 3.4, 3.5, 3.6, 3.7, 3.9
• Exam 3 - Sections 3.10, 4.1, 4.2, 4.3, 4.5, 4.7, 4.8
• Exam 4 - Sections 4.9, 5.1, 5.2, 5.3, 5.4, 5.5
• Final Exam - Cumulative

## Exam Reviews

You should consult the Math 1225 website for past exams. As well, the syllabus on Canvas has a list of suggested practice problems from the book.

## Office Hours

My official office hours are listed below.

 Monday 1:00pm – 2:30pm McBryde 419 Tuesday Wednesday Thursday 11:00am – 1:00pm McBryde 419 Friday

If you cannot make those, I am available by appointment (in my office) and by email.