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(MATH) Calculus for Business

3 Credits | 200 Level | 45 Contact hours

Textbook: Calculus for Business, Economics, Life Sciences & Social Sciences, Barnett/Ziegler/Byleen, Publisher: Prentice Hall, Edition: 11th, Year Published: 2007

This is an introductory course on calculus and application of computational tools in business. The students will learn the basic tools of differential calculus: limits, derivatives and integrals and how to apply them for business problems

Unit I: Introduction to Limits. Marginal Analysis in Business and Economics. The Constant e and Continuous Compound Interest.
Unit 2: Derivatives of Exponential and Logarithmic Functions. Implicit Differentiation. First Derivative and Graphs. L’Hôpital’s Rule. Antiderivatives and Indefinite Integrals
Unit 3:  Integration by Substitution.  The Fundamental Theorem of Calculus. Area between Curves. Applications in Business and Economics. Functions of Several Variables. Partial Derivatives
Unit 4: Maxima and Minima. Double Integrals over Rectangular Regions

• Calculate limits of functions at given points.
• Analyze continuity of functions.
• Differentiate functions.
• Understand the differences between average and instantaneous rates of change.
• Understand algebraically and graphically the concept of derivative.
• Solve simple optimization problems.
• Analyze graphs, by finding extrema, points of inflection and asymptotes.
• Integrate functions.
• Interpret the integral of a function.
• Apply the fundamental theorem of calculus.
• Use data analysis software to describe real data and prepare a business report.

20% Class work and participation: Your attendance, interest, enthusiasm and contribution in every class meeting will be observed. You MUST have the material read before class, and people will be called at random to your homework
30% Homework: After EVERY class the instructor will post some problems at Blackboard. These problems are due on the next class. Some will be written in class
50% Exams: 20% Midterm + 30% Final.

Attending class is MANDATORY in this course