Single-Variable Differential Calculus (220-A-64)
Instructors
Amy Beth Alznauer
Amy Alznauer has a M.S. in mathematics from the University of Illinois in Champaign-Urbana and an M.F.A. in writing from the University of Pittsburgh. She has taught mathematics full-time at Penn State University, where she helped start the Women in Engineering calculus program, and at DePaul University, where she taught both undergraduate and graduate math courses. She is currently working on a book about the Indian mathematician Srinivasa Ramanujan.
Meeting Info
Lunt Hall 105: Tues 6:15PM - 9:15PM
Overview of class
This course covers the following: limits; differentiation; linear approximation and related rates; extreme value theorem, mean value theorem, and curve-sketching; optimization. This course was formerly MATH 220-CN.
Learning Objectives
By the end of MATH 220-A, students will be able to:
Evaluate limits of functions using algebraic manipulation, continuity, and the squeeze theorem.
Exploit the relationships between derivatives, tangent lines, and rates of change to solve basic problems involving functional approximation.
Compute derivatives of functions using limits, basic differentiation rules, and the chain rule.
Analyze the local behavior of a function by studying its first and second derivatives.
Write basic mathematical arguments that apply some of the major theorems of differential calculus.
Construct models and solve problems involving optimization and related rates.
Class Materials (Required)
Required Text: The primary textbook for this course is Calculus, 14th edition by George B. Thomas, ISBN: 978-0-13-443898-6, a publication of Pearson. You can buy the hard copy of this book and/or get the E-Text version of this (instructions below). You are not required to have both the physical text and the e-text. The homework will not be done through their portal, but having access to their full solution manual and to their additional resources can be a nice adjunct to the course.
Optional E-Textbook and Learning Portal:
Access to MyLab Math (also called MyMathLab) and text by Joel Hass, Christopher Heil, and Maurice Weir, Thomas' Calculus, 14th Edition, Pearson, 2018.
MyLab Math is an online platform that serves as an electronic textbook, an enrichment resource, and a homework portal. My Lab Math includes access to an electronic copy of the textbook; you do not need to purchase a paper copy of the book.
See syllabus in the course site in Canvas for instructions on registering for MyLab Math.
Class Attributes
Face to face: In person, in campus space