05:00 PM to 06:15 PM MW
Mason Korea (119 Songdomunhwa-ro, Yeonsu-gu, Incheon, Korea) G106
Section Information for Fall 2022
Calculus was first developed more than three hundred years ago by Sir Isaac Newton and Gottfried Leibniz to help them describe and understand the rules governing the motion of planets and moons. Since then, thousands of other men and women have refined the basic ideas of calculus, developed new techniques to make the calculations easier, and found ways to apply calculus to problems besides planetary motion. Perhaps most importantly, they have used calculus to help understand a wide variety of physical, biological, economic and social phenomena and to describe and solve problems in those areas.
Part of the beauty of calculus is that it is based on a few very simple ideas. Part of the power of calculus is that these simple ideas can help us understand, describe, and solve problems in a variety of fields.
This course provides an introduction to applied concepts in Calculus that are relevant to business sectors including managerial and marketing sciences. Students should have a firm grasp of the concept of functions to succeed in this course. Topics covered include derivatives of basic functions and how they can be used to optimize quantities such as surface area and volumes of a solid as well as integrals of basic functions and how they can be used to describe the total change in a quantity over time.
This course is delivered in three parts including a review of functions (excluding trigonometric functions) and the following topics:
Part 1: Review
A review of the basic methods of functions including transformations, and compositions
Part 2: The Derivative
2-1. Instantaneous rates of change
2-2. Limits and continuity
2-3. Applications of Rates
2-4. Formulas for differentiation
2-5. Second derivatives
2-7. Applied Optimization
2-8. Tangent line approximation, the elasticity of demand
2-9. Implicit differentiation, related rates
Part 3: The Integral
3-1. Definite integrals
3-2. The fundamental theorem of calculus
3-3. Formulas for integration
Required Prerequisite: minimum score of 13 in 'Math Placement Algebra I'.