ROCHESTER
COMMUNITY & TECHNICAL COLLEGE
COMMON COURSE OUTLINE: MATH 1119 - Applied Calculus for
Business and Economics
A. Catalog Description
1. Math 1119
2. Applied Calculus for Business and Economics
3. 3 credits
4. 3 hours per week or as scheduled
5. Offered Fall, Spring and Summer
6. Prerequisites
a. MATH 1113, 1115, 1117 or appropriate ASAP score
b. A Reading ASAP score of at least 27.
c. A Writing ASAP score of at least 22
7. Minnesota Transfer Curriculum coding
a. CT (critical thinking)
b. MA (mathematical/logical reasoning)
8. A college level introductory calculus course with emphasis on applications.
Topics include but are not limited to: limits, derivatives, continuity,
first and second derivative test for relative extrema, applications of
absolute max/min, integration, continuous money flow, partial derivatives.
B. Effective Date 8/99
C. Recommended entry skills/knowledge
Solve quadratic equations using 2 or more methods
Solve non-linear inequalities
Evaluate and simplify the difference quotient for any function
Find the domain and range of a function
Solve systems of qquations with 3 or more unknowns
Graph linear and quadratic functions
Given points, find the equation that contains them
Graph and trace using graphics utility
Solve exponential and logarithmic equations in algebraic form
D. Major content Areas
Algebra review
Math modeling with regression
Limits and continuity
Differentiation
Applications of derivatives
Exponential growth and decay
Integration
Functions of several variables
Marginal Revenue, Marginal Cost, Marginal Profit
E.
Learning outcomes and/or objectives
Mathematical/Logical Reasoning from MN transfer curriculum
1. illustrate historical and contemporary applications of mathematical/logical
reasoning
2. clearly express mathematical/logical ideas in writing
3. explain what constitutes a valid mathematical/logical argument (proof)
4. recognize higher order problem-solving and/or modeling strategies
Critical
Thinking from MN transfer curriculum
1. gather factual information and apply it to a given problem in a manner
that is relevant, clear, comprehensive, and conscious of possible bias
in the information selected
2. imagine and seek out a variety of possible goals, assumptions, interpretations,
or perspectives which can give alternative meanings or solutions to given
situations or problems
3. analyze the logical connections among the facts, goals, and implicit
assumptions relevant to a problem or claim; generate and evaluate implications
that follow from them
4. recognize and articulate the value assumptions which underlie and affect
decisions, interpretations, analyses, and evaluations made by ourselves
and others
Other Competencies
1. Given points, can find unique polynomial
2. Given points, can find equation of best fit using regression
3. Can find limits at infinity and points of discontinuity
4. Given polynomial function, can find
All relative extrema
All inflection points
Intervals on which function is increasing/decreasing
5. Given rational function, can find
All relative extrema
All asymptotes
All intercepts
Sketch graph
6. Given polynomial function, can find definite integral
7. Given two polynomial functions, can find area bounded by them
8. Given cost and revenue information, can find
Marginal cost
Marginal revenue
Marginal profit
9. Given continuous money flow, can find present and/or future value
10. Given rate of growth/decay can find doubling time/half-life
11. Given function of several variables, can find max/min
Optional
Topics
Given function of two variables, can find volume
Write programs for graphics calculator
Derive formula for linear regression using partial derivatives
F.
Methods used for Evaluation
1. Tests over covered Topics
and/or 2. Quizzes
and/or 3. Homework
and/or 4. Group Assignments
and/or 5. Comprehensive Final Exam
G . A graphing calculator is required.
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