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MATH 125 Basic Calculus

textbook

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 that follows, 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.

Learning Objectives: After completing this course, students will be able to:

  • Evaluate limits.
  • Apply derivative rules to algebraic, exponential, and logarithmic functions.
  • Apply integration rules to algebraic, exponential, and logarithmic functions.
  • Determine the appropriate calculus technique needed to solve real world problems.
  • This course is not required for any mathematics degree and therefore does not support the degree-level learning objectives for the Mathematics Department.

    Prerequisite(s): Satisfactory placement test score, or pass M119 or M130. Prerequisite requirements are strictly enforced. 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 scientific non-graphing calculator is required. Graphing calculators, cell phone calculators and devices with internet capability are prohibited.

    Enhanced WebAssign: This course requires Enhanced WebAssign (EWA) for online homework which comes with an ebook version of our textbook. The semester begins with a 14-day free trial of WebAssign, so everyone will have access to both the online homework and the ebook at the beginning of the semester. You have the option to also purchase a printed text if you do not want to use just the ebook that comes with your EWA access. For Fall 2013, we are using a custom version of College Algebra and Calculus An Applied Approach, Second Edition, Larson and Hodgkins. There are many options for purchasing the EWA access code and/or the textbook including a bundle option (printed textbook with EWA code) sold at either the campus bookstore or http://go.cengage.com/coursepage/UTKMath. EWA access codes can also be purchased without a printed text at either the campus bookstore or http://www.cengagebrain.com/micro/utkmath. EWA access codes may also be purchased directly from WebAssign during the free trial period. You may also be able to find the required course materials from an off campus bookstore or other online site, however, we suggest you compare prices before you purchase. If you want a printed textbook, our bundle options are usually less expensive than buying a used textbook and EWA access code separately from outside sources.

    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, and techniques of integration (substitution).

    Adding/Changing Sections: Instructors cannot add students to a class. All schedule changes must be made through the banner system via myUTK.

    Note:All students must take the final exam!

    Course Coordinator: April Conner, conner@math.utk.edu
    Mathematics Department, University of Tennessee, Knoxville
    This document was last modified July 2015.

    last updated: July 2015

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