NorthWest Arkansas Community College Fall 2006
Division of Science and Mathematics Course Outline
Course: Math 2043, Survey of Calculus
Catalog Description:
A survey and applications course in calculus designed for students in business, life sciences and social sciences. Topics
include a brief algebra review, differentiation, curve sketching, exponential and logarithmic functions with applications,
integration and, when time permits, multivariable calculus.
Prerequisite: Math 1204 with grade of C or better, or 24 on Math portion of the ACT, or 46 – 100 on the College Algebra
portion of the Compass.
Credit/Contact/Load hours: 3 credit hours/ 3 contact hours/ 3 load hours
Target Audience and Transfer
This course is targeted primarily to students in business and life or social sciences. It is required of some AAS
and AS degrees as well as a variety of four-year programs. It transfers as 3 credit hours of business calculus.
General Course Objectives
Upon successful completion of this course students should exhibit mastery of certain knowledge and basic
skills. These topics will include, but not be limited to:
1) Algebraically and graphically evaluate limits
2) Find basic derivatives using the definition, product, quotient and chain rules
3) Understand and be able to apply derivatives appropriately to real-world problems to optimize functions,
find instantaneous rates of change, marginal cost, marginal profit, etc.
4) Graph functions by hand, including manually finding the extrema using the first derivative test, intervals
where the graph is increasing and decreasing, and finding points of inflection
5) Integrate “basic” integrals including polynomial functions, natural exponential functions, and basic u-
substitutions.
6) Relative rates and elasticity of demand
7) Areas between curves
8) Be able to apply integrals appropriately to find the average value, accumulated value, GINI index, consumer’s surplus and
producer’s surplus
10) Partial Derivatives
11) Optimize functions of several variables, including constrained optimization and Lagrange Multipliers
Required Text: Brief Applied Calculus, 4th Edition. Berresford, Rockett. Houghton Mifflin, 2007
Required Content:
Section Topic
2.1 Limits and Continuity
2.2 Slopes, Rates of Change, and Derivatives
2.3 Some Differentiation Formulas
2.4 The Product and Quotient Rules
2.5 Higher-Order Derivatives
2.6 The Chain Rule and the Generalized Power Rule
2.7 Nondifferentiable Functions
3.1 Graphing Using the First Derivative
3.2 Graphing Using the First and Second Derivatives
3.3 Optimization
3.4 Further Application of Optimization
3.6 Implicit Differentiation and Related Rates
4.1 Exponential Functions
4.2 Logarithmic Function
4.3 Differentiation of Logarithmic and Exponential Functions
