Math 1350 Learning Outcomes

This List of Learning Outcomes refers to Chapters in the 14th Edition of the textbook.

Concepts Covered in Chapter 2 and 3 of Our Textbook
- Find limits analytically, numerically and graphically including one-sided limits and limits at infinity.*
- Analyze the limit behavior of a function at a point in its domain to determine if the function is continuous at that point. Determine intervals in which a function is continuous. Analyze and classify the discontinuities of a function.*
- Find the derivative of a function using the limit definition.*
- Find the derivative of a function by identifying and applying the appropriate derivative formula.*
- Understand the interpretation of the derivative as the slope of a line tangent to a graph and as a rate of change.*
- Understand the business terminology of demand, cost, price, revenue, and profit, and solve applied problems including marginal analysis applications. Explain the relationship between marginal cost and average cost.*
Concepts Covered in Chapter 4 of Our Textbook
- Find higher order derivatives of a function.*
- Use the first derivative to determine intervals on which the graph of a function is increasing or decreasing and to determine critical points of the function.*
- Use the second derivative to determine intervals on which the graph of a function is concave upwards or concave downwards and to determine points of inflection.*
- Find and classify relative extrema of a function.*
- Find the absolute extrema of a continuous function on a closed interval.*
Concepts Covered in Chapter 5 and 6 of Our Textbook
- Find antiderivatives and indefinite integrals using integration formulas and the method of substitution*
- Identify definite integrals of functions as the areas of regions between the graph of the function and the x-axis.*
- Estimate the numerical value of a definite integral using a Riemann sum.**
- Use the Fundamental Theorem of Calculus to evaluate definite integrals.*
- Use definite integrals to calculate the area of the region under a curve and the area of the region between two curves.*
- Use definite integrals to calculate the average value of a function on an integral.**
- Find present value and future value for an investment with interest compounded continuously.*
- 4.10 For given supply and demand functions, find and interpret the consumer's surplus and the producer's surplus.*

Note: This list of Learning Outcomes has been designed to adhere to the Transfer Assurance Guides (TAGS) provided by the University System of Ohio.

General information about TAGS can be found at the following link: (TAGS).
The specific list of TAGS requirements for Business Calculus can be found at the following link: (Business Calculus).
The symbol * denotes essential learning outcomes from the TAGS.
The symbol ** denotes optional topics from the TAGS.

(page maintained by Mark Barsamian, last updated January, 2020)