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# MATH& 148 - Business Calculus

5 Credits
A survey of topics in differential and integral calculus, emphasizing application to business management and social sciences.

Pre-requisite(s) MATH 111 min 2.0 or MATH& 141 min 2.0
Placement Eligibility Math 148
Course Note Graphing Calculator Required; TI-84 recommended
Fees

Quarters Typically Offered
Summer Day
Fall Day
Winter Day
Spring Day, Evening

Designed to Serve Students in business management and social sciences requiring calculus.
Active Date 20170622T08:38:41

Class Limit 32
Contact Hours: Lecture 55 Lab 0 Worksite 0 Clinical 0 Other 0
Total Contact Hours 55
Degree Distributions:
AA
• Quantitative Skills
• Science

ProfTech Related Instruction
• Computation

PLA Eligible Yes

Course Outline
1.Limits
2. Average and instantaneous rates of change.
3.The derivative as a slope of a tangent line and rate of change.
4. Computing derivatives using the limit definition (linear and quadratic only).
5. Computing derivatives using differentiation formulas (polynomial, exponential, logarithmic), including higher order derivatives.
6. Applications of the derivative to business and social science (e.g., marginal cost, marginal revenue, marginal profit, elasticity of demand, optimization).
7. Computing antiderivatives.
8. Definite integrals, exact and approximate using at least one numerical method.
9.The Fundamental Theorem of Calculus.
10. Applications of integration to business and social sciences.

Student Learning Outcomes
Evaluate the limit of a function at a point, including limit as x approaches infinity and one-side limits, using graphical, numerical or algebraic methods.

Compute and interpret the average rate of change of a function over a closed interval from a symbolic, graphical, or tabular representation of a function.

Compute and interpret the instantaneous rate of change of a function analytically or from a graphical representation of a function.

Compute the derivative of a function using the limit definition (linear and quadratic functions only) and derivative rules: power, constant multiple, sum and difference, product, quotient, chain, exponential, and logarithmic.

Apply the concepts, techniques and vocabulary of limits, continuity, and first and second derivatives to solve problems in contexts such as marginal analysis, product elasticity, related rates, point of diminishing return, exponential growth/decay and optimization.

Accurately describe the important quantities, variables, and relationships (including units of measure) in a given application, using function notation appropriately.

Determine anti-derivatives of simple algebraic and exponential functions.

Determine the values (exact or approximate, as appropriate) of definite integrals using the Fundamental Theorem of Calculus and areas, including at least one numerical method.

Apply the ideas of definite and indefinite integrals to solve problems in contexts such as total change/accumulation, consumer and producer surplus, exponential growth and decay, etc.

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