Applied Calculus

The American College of Greece

Course Description

• Course Name

Applied Calculus

• Host University

The American College of Greece

• Location

Athens, Greece

Calculus

• Language Level

Taught In English

• Prerequisites

MA 1009 Mathematics for Business, Economics and Sciences

• Course Level Recommendations

Lower

ISA offers course level recommendations in an effort to facilitate the determination of course levels by credential evaluators.We advice each institution to have their own credentials evaluator make the final decision regrading course levels.

Hours & Credits

• US Credits

3
• Recommended U.S. Semester Credits
3
• Recommended U.S. Quarter Units
4
• Overview

DESCRIPTION:
Functions, limits and continuity. Derivative of polynomials, and rational, exponential and logarithmic functions. Sketching the graph of a function. Indefinite and definite integral. Integration techniques. Area as an integral. Functions of several variables. Partial derivatives of first and second order. Application of differentiation and integration to problems in business, economics, and related fields.

RATIONALE:
A course in mathematics that offers an introduction to calculus and its applications to the solution of problems arising in business, economics, and related fields. It does not overlap with or duplicate any other course.

LEARNING OUTCOMES:
1. Apply the differentiation rules to polynomial, rational, exponential and logarithmic functions.
2. Apply differentiation rules to solve marginal analysis problems and to optimize functions arising in business, economics and related fields.
3. Apply the integration rules to evaluate indefinite and definite integrals.
4. Apply integration rules to solve problems related to applications in business, economics and related fields.
5. Show understanding of the concept of a function of two variables and calculate the first and the second order partial derivatives.
6. Solve optimization problems involving functions of two variables.

METHOD OF TEACHING AND LEARNING:
In congruence with the teaching and learning strategy of the college, the following tools are used:
- Classes will consist of lectures where the concepts of the course will be introduced. Their application to the solution of problems arising from business, economics and related fields will be illustrated through several examples. Coursework will be regularly assigned and discussed in class with students actively participating in the discussion. Computer software will be available both as a teaching aid and as the medium for solving problems.
- Office hours: students are encouraged to make full use of the office hours of their instructor, where they can ask questions, see their exam paper, and/or go over lecture material.
- Use of a blackboard site, where instructors post lecture notes, assignment instructions, timely announcements, as well as additional resources.

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