Mathematics 146: Calculus for Social and Life Sciences I

General Information:

Title:	Mathematics 146: Calculus for Social and Life Sciences I
Credits:	4 credits
Prerequesites:	Mathematics 103 or equivalent; placement test or ACT/SAT score required.
Required for:	Mathematics 147 Mathematics 327 (other options for 327 prereqs are Math 103 or Math 160)
Suggested Text:	Applied Calculus (fourth edition), by Soo Tang Tan, Brooks/Cole Publishing Company, 1998.
Math 146 Toolbox:	Graphing Tools Plot a function. This tool graphs a function of single variable. Plot f(x) & f'(x). This tool graphs a function and its derivative. Plot f(x), f'(x), and f"(x). This tools plots a function and its first two derivatives. Plotting the tangent line. This tool computes the equation of the tangent line to the graph of a given function f(x) at the specified point x=a. Plot several functions. This tools plots one or more functions on common or noncommon intervals. Plot piecewise functions. This tools plots a function whose definition changes on different intervals. Plot the graph of z=f(x,y) This tool plots the graph of a function of two variables: z=f(x,y). Compute Riemann Sums. A tool for exploring and computing Riemann Sums. Derivative Tools Differentiate a function. This tool computes one or more derivatives of a function f(x). Derivative tutor. This tools helps you hone your differentiation skills by demonstrating the techniques of differentiation.

Course Description:
This course introduces the non-Mathematics major to analytic geometry, elementary functions (including exponential and logarithmic functions), central ideas of the calculus (limit, continuity, derivative, and integral), and applications of derivatives to business, social, and natural sciences.

Outline:

1	Precalculus review, Cartesian coordinate system, equation of a line. Chapter 1	2 Lectures.
2	Functions and graphs, limits and continuity, the derivative and basic rules of differentiation. Product, quotient and chain rules of differentiation, higher-order derivatives. Curve sketching. Chapter 2, sections 3.1, 3.2, 3.3, 3.5, 4.1, 4.2, 4.3	17 Lectures.
3	Optimization, exponential and logarithmic functions and their derivatives. Exponential growth and decay. Sections 4.4, 4.5, Chapter 5	8 Lectures.
4	Antidifferentiation, integration by substitution, the Fundamental Theorem of Calculus and area between curves. sections 6.1-6.6.	6 Lectures.

Goals:

To give the students an understanding of and apprecition for the theory and applications of the derivative and the integral of algebraic, logarithmic and exponential functions, to give students an understanding of and appreciation for partial derivatives and some of their applications.

Note:

Special Needs: "Any students with disabilities or other special needs, who need special accommodations in the course, are invited to share these concerns or requests with the instructoras soon as possible."
Academic Honesty: All work in this course must be completed in a manner consistent with NDSU University Senate Policy, Section 335: Code of Academic Responsibility and Conduct.
A scientific calculator or a graphing/programmable calculator is recommended or required for the course (check with instructor). The appropriate use of graphing calculators should be stressed. The currently recommended calculator is the TI-89 or TI-92.

Abraham Ungar ungar@plains.NoDak.edu

Home