MATH 1350 - Survey of Calculus

• Apply differential calculus to business applications.
• Apply integral calculus to business applications.
• Demonstrate the ability to determine indefnite integrals, use the Fundamental Theorem of Calculus, and integrate by substitution and by parts.
• Determine derivatives of Exponential and Logarithmic Functions.
• Determine derivatives using the power rule, sum & difference rules, product rule, quotient rule, and chain rule.
• Determine higher order derivatives of a function. Understand velocity as the derivative of position and acceleration as the 2nd derivative of position.
• Determine the absolute extrema of a continuous function on a closed interval.
• Determine the continuity of functions at a point or on intervals.
• Determine the limits of functions graphically, numerically, and analytically. Recognize and determine infinite limits and limits at infinity.
• Understand the business terminology of demand, cost, price, revenue, and profit. Use linear, polynomial, rational, algebraic, exponentail, and logarithmic functions in business applications.
• Understand the business terminology of marginal quantities, including marginal cost, marginal revenue, and marginal profit.
• Understand the interpretation of the derivative as the slope of a line tangent to a graph and as the rate of change of a dependent variable with respect to an independent variable and determine the derivative of a function using the limit definition.
• Use and solve differential equations to model growth and decay.
• Use defnite integrals in applications such as determining the area of an enclosed region and fnding the average value of a function.
• Use differentials in approximation problems.
• Use the first and second derivatives to analyze and sketch the graph of a function, including determining intervals on which the graph is increasing, decreasing, constant, concave up, concave down, and finding relative extrema and inflection points.