Bulletin Description and Course Content
Derivatives and integrals. Applications of differentiation and integration, including optimization. Problems involving business, finance, and economics.
Student Learning Outcomes
Math 108 is the sequel to Math 107. Together, Math 107 and Math 108 constitute a “stretched” version of Math 110. Only Math 108 of this sequence can be used to meet the GE Area B4 (Quantitative Reasoning) requirement. Upon successful completion of this course, students will:
- Demonstrate an understanding of the concepts of, and relationship between, average rate of change, instantaneous rate of change, and derivative.
- Find derivatives of functions using standard rules of differentiation.
- Compute and interpret the extrema of functions using the first and second derivative tests in the context of business applications.
- Demonstrate, in an applied context, an understanding of the meaning of the area under a curve.
- Compute and interpret the area under a curve by approximating with sums of rectangles and by the use of the Fundamental Theorem of Calculus and anti-derivatives.
Textbook, Materials, and Teaching Methods
- Mathematical Applications for the Management, Life, and Social Sciences, 12th edition, Harshbarger & Reynolds
- Webassign account (for online homework)
- Basic hand-held calculator (not a cell phone) with logarithm, exponent, and square root features
- Teaching methods will include lectures, group discussions, and in-class group work.
Submitted by Eric Hsu, May 16 2024