MATH 125 Basic Calculus


Course Description and General Course Information
Math 125 satisfies the Quantative Reasoning Requirement passed by the University Undergraduate Council:

Quantitative Reasoning (2 courses): In today's world, arguments and claims often rely for support on scientific studies and statistical evidence. Students should possess the mathematical and quantitative skills to evaluate such evidence. Furthermore, students should possess the skills both to recognize the quantitative dimension of problems and to use mathematical reasoning to formulate and solve the problem. Finally, students need strong quantitative skills because they are indispensable in managing everyday-life situations.

This requirement may be completed by either (1) taking two math or statistics courses from the list below, or (2) taking one math course from the list and one course designated in the undergraduate catalog as having a quantitative component (QR). The course designated as having a quantitative component may be within the student's major or an elective. Math 113, 115, 117, 123, 125, 141, 142, 147, 148, 151, 152, 202, Stat 201, 207.

Course Description & Purpose: Math 125 is designed to introduce and explore the calculus of algebraic, exponential, and logarithmic functions. The objective of the course is to familiarize the student with the basic concepts and techniques of differential and integral calculus and their applications in problem-solving. An intuitive understanding of concepts is stressed over theory and rigorous proofs. A calculator is used to help the student think about the geometric and numerical meaning of calculus and to approximate numerical solutions to realistic application problems.

Prerequisite(s): Two years of algebra and one year of geometry in high school, or satisfactory placement exam score. Math 119 is an appropriate course to prepare the student for Math 125; Math 130 is also acceptable. For students who have recently completed Math 119 or Math 130, it is recommended that they take Math 125 before taking Math 123.

Calculators: A graphing calculator and a small scientific calculator are recommended for this course. The Math Department recommends and provides support for the TI-83+ and TI-84+ models. While other calculators may be used with your instructor's permission, instructors and tutorial center staff may not be able to provide help on how to use them. Use of cell phone calculators and calculators with advanced alpha-numeric capabilities, such as the TI-89, is forbidden in this course. Help concerning use of the TI-83+ and TI-84+ (and possibly similar calculators such as the TI-86) may be obtained in the Math Tutorial Center located in Ayres Hall 322.

Audience: The typical student in Math 125 is majoring in one of the following subjects: business, economics, social science, agriculture, architecture, communications, or human ecology (see the Undergraduate Catalog for details). This course will not satisfy the calculus requirement for students who wish to major in mathematics, physical sciences, engineering or computer science.

Topics Include (but are not limited to):  Rates of change, derivatives and interpretations of the derivative, techniques of differentiation, marginal analysis, optimization, accumulated change and the definite integral, the definite integral as area, antiderivatives, the Fundamental Theorem of Calculus, applications of the integral, techniques of integration (substitution).

Adding/Changing Sections: Instructors cannot add students to a class. All schedule changes must be made through Circle Park Online.

Note:All students must take the final exam!

Course Coordinator: Cathy Remus (cremus@math.utk.edu
Mathematics Department, University of Tennessee, Knoxville
This document was last modified 07/08.