Limits, continuity, differentiation of functions of one variable, applications of the derivative. This course counts toward the Analytical Inquiry: The Natural and Physical World requirement. Prerequisite: MATH 1070 or equivalent.
Time: M-F 01:00 PM – 01:50 PM
Location: Clarence M. Knudson Hall 309
Office hours: TR 3:30 PM – 04:30 PM
TA: Charles (Evans) Hedges – firstname.lastname@example.org
Homework: 20% – Weekly homework (you must turn them in)
Participation in class: 10%
Midterm I (10/07 ): 20%
Midterm II (11/04): 20%
Final (11/20) : 30%
All problems refer to our textbook
Calculus is a well-established theory, and there are a lot of good books out there. We will be following Calculus Volume 1 from OpenStax, but you can use any other book you want. Just be aware that the exercises for the assignment will be selected from the textbook, okay?
A lot of nice rules so you can compute derivatives faster!
Derivative as a function itself, derivatives and continuity, higher-order derivatives.
Introducing the Concept of Derivative of a function together with some examples.
Squeeze Theorem, indeterminate of the form K/0 and Continuity of functions.
Other techniques to handle limits.
Limits laws to make evaluation of limits easier and faster!
Seeing limits in the real world. Definition limit of a function, table of functional values, and examples.
Working linear functions, quadratic and general polynomial functions
Real functions, domain, ranges, graphs, zeros and other stuff…
General comments about the course.