• Research
• Vitae

• Seminar
• Teaching

  Fall 2019 — Current at Virginia Tech Fall 2013 — Spring 2019 at Arizona State University

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.