Welcome to Math 101: Calculus 1!
We will have short quizzes, either in-class or take-home, on Wednesday, September 24, covering sections 1.3 and 1.4, and on Monday, September 29, covering sections 1.5 and 1.6.
The first midterm exam happens in class on Wednesday, October 1. It will contain three sections: skills, applications, and concepts. In the skills portion of the exam you will demonstrate your fluency with the calculations required to solve calculus problems. The applications section will ask you to apply your skills to the solution of mathematical or real-world problems. And the concept portion consists of questions from the “Concept Questions” link below.
You may use a 3.5 by 5 inch notecard (both sides) that you prepare in advance, but you may not use any other source of help (such as your textbook or the Internet). You may use a calculator or Mathematica to check your work, but you must show all of the steps necessary to arrive at a given solution by hand (unless otherwise specified) to receive full credit.
The best way to study for the skills portion of an exam is to do as many practice exercises as possible. You should do calculation after calculation until you reach the point where you can look at any exercise and know how to start. To prepare for the applications section of an exam, it helps to think through the logic of the harder practice exercises. Please make sure you understand why the procedures you are using make sense. Some of the application problems on an exam will be set in contexts familiar from the practice exercises, while others may involve contexts you have not yet seen. Understanding calculus ideas conceptually will help you solve unfamiliar application problems. To study for the concepts portion of an exam, you should practice answering the concept questions listed on the “Concept Questions” page linked below. It is a good idea to write (and revise) answers to these questions throughout the semester so that you have a clear, logical response in mind before an exam begins.
In addition to problem sessions (Sundays 7 – 9 PM in Park 328) and office hours (MWF 3 – 4 PM in Park 356), you may consider using the Q Center as a resource for Math 101. Here is the website. In addition to helping with calculus, the Q tutors can review pre-calculus concepts with you.
Due Monday, September 22:
Read pages 47 and 48.
Do exercises 2, 3, 5, 7, 9, 10, 13, 19, 21, and 27.
Read example 5 and example 8.
Do exercises 1, 3, 5, 9, 11, 13 – 16, 19 – 20, 27, and 29.