CALCULUS AT THE UA
Textbooks
Students are expected to read the textbook. The sooner you get the book, the more time you will have to familiarize yourself with its approach and style. Our textbooks will make you think. If you expect to see an example followed by many problems exactly like it, you may be disappointed. Our approach to calculus emphasizes problem solving and the Rule of Four. The Rule of Four refers to the fact that information can be expressed in a graph, table, equation, or words.
  • Math 122A (Functions for Calculus) - covers chapter 1 of the 6th edition of Single Variable Calculus by Hughes-Hallett, Gleason, McCallum, et al. published by Wiley. Students who are officially enrolled in Math 122A will have access to the chapter free of charge (available in pdf format in the D2L Course page).
  • Math 122B (First Semester Calculus) - covers chapters 2 through 6 and section 7.1 of the 6th edition of Single Variable Calculus by Hughes-Hallett, Gleason, McCallum, et al. published by Wiley.
  • Math 125 (Calculus I) - covers chapters 1 through 6 and section 7.1 of the 6th edition of Single Variable Calculus by Hughes-Hallett, Gleason, McCallum, et al. published by Wiley.
  • Math 129 (Calculus II) - covers chapters 7 through 11 of the 6th edition of Single Variable Calculus by Hughes-Hallett, Gleason, McCallum, et al. published by Wiley.
  • Math 223 (Vector Calculus) - covers chapters 12 through 20 of the 6th edition of Multivariable Calculus by McCallum, Hughes-Hallett, Gleason, et al. also published by Wiley.
A computer grading program called WebAssign is used to submit homework from the text.
Pre-calculus Review
Students usually think of pre-calculus as the prerequisite of first semester calculus. In fact, these skills are essential to success in all levels of calculus and differential equations. You will find a review of pre-calculus material along with diagnostic quizzes at Pre-Calculus review . A helpful reference sheet for trigonometry formulas can be found at Trig.
Derivative Review
If you want to be ready for Calculus II (Math 129) you should review differentiation skills. Math 129 requires a significant amount of algebraic and trigonometric manipulation in the beginning of the course. Reviewing pre-calculus (see above) and differentiation before classes start can make a great difference in that first week.
Derivative Practice and Answers, Derivative rules
Integration Review
If you want to be ready for Vector Calculus (Math 223) or Differential Equations (Math 254) you should review integration skills. Both courses require strong integration skills. All students in Math 223 take a derivative/integral preliminary exam as part of the requirements of the course. For more information see Math 223 Preliminary Exam .
Integration Practice and Answers, Integral Table
Tutoring and Support Services
The university offers many services to help students succeed. Take advantage of these resources. If you qualify and you like helping other students, apply for a tutoring position. For more information see Tools for Success
Handouts and Worksheets
Many instructors use handouts or worksheets in class. You will find some sheets that are commonly used at these sites. Calculus I Worksheets and Calculus II Worksheets. Some essential reference sheets are also posted under the Resources link in WebAssign.
Calculator Programs
Many courses require basic programs as either learning tools or to supplement the built-in features of the graphing calculators. This site provides the programs typically used in calculus and differential equations. Calculator Programs


Updated 8/24/17