Applications of integration to business and social sciences.Įvaluate the limit of a function at a point, including limit as x approaches infinity and one-side limits, using graphical, numerical or algebraic methods.Ĭompute and interpret the average rate of change of a function over a closed interval from a symbolic, graphical, or tabular representation of a function.Ĭompute and interpret the instantaneous rate of change of a function analytically or from a graphical representation of a function.Ĭompute 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.Īpply 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.Īccurately describe the important quantities, variables, and relationships (including units of measure) in a given application, using function notation appropriately.ĭetermine anti-derivatives of simple algebraic and exponential functions.ĭetermine the values (exact or approximate, as appropriate) of definite integrals using the Fundamental Theorem of Calculus and areas, including at least one numerical method.Īpply 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. Definite integrals, exact and approximate using at least one numerical method.ġ0. Applications of the derivative to business and social science (e.g., marginal cost, marginal revenue, marginal profit, elasticity of demand, optimization).Ĩ. Computing derivatives using differentiation formulas (polynomial, exponential, logarithmic), including higher order derivatives.Ħ. Computing derivatives using the limit definition (linear and quadratic only).ĥ. Average and instantaneous rates of change.ģ.The derivative as a slope of a tangent line and rate of change.Ĥ. Pre-requisite(s) MATH 111 min 2.0 or MATH& 141 min 2.0Ĭourse Note Graphing Calculator Required TI-84 recommendedĭesigned to Serve Students in business management and social sciences requiring calculus.Ĭontact Hours: Lecture 55 Lab 0 Field Studies 0 Clinical 0 Independent Studies 0Ģ. It all made perfect sense when I finally had a good instructor.A survey of topics in differential and integral calculus, emphasizing application to business management and social sciences. Business Calculus: Backward and Forward presents calculus lessons 'backward'-from definite integrals to limits to derivatives to indefinite integrals.This approach first introduces the concept of area, which is more intuitive for students, before advancing to the concept of slope. They explain everything in multiple ways and relate it to other concepts.

Previously I had no idea what was going on because terrible PhD students were teaching the course and saying stuff like 'a derivative is the slope of a tangent line' - ? but what does that mean ?, but the instructors in the Shorter University course explain everything in ways where it FINALLY made sense (e.g., 'imagine a roller coaster hitting the top of a hill, there's a moment where it shifts momentum and you're not accelerating or decelerating, that's what a 0 rate of change is - that's when the derivative would be zero'). I previously took calculus two times (at a public high school and then a large public university commonly cited as a 'public ivy'), this course was by far the best and *finally* made the concepts click. Review: This course is amazing! I took it as a requirement for admission to an MBA program, and couldn't have been happier with the quality and rigor of the course. Here is a video about our Business Calculus - Applied Calculus course from Distance Calculus Roger Williams University: Otherwise, the course gets too long with lots ofĪpplications that 'muddy the waters' for the student looking to finish the calculus requirement quickly.

School, and while you are in the calculus course, we simply concentrate on the calculus topics. While some courses and textbooks do exist like this, we believe that we, as mathematicians, should let the business concepts be taught by the business It is not specifically a 'business applications of calculus' course.

Our Applied Calculus course is a general, liberal arts introduction to Calculus.

Our Business Calculus course is called Applied Calculus - Math 207 - 3 credits - from Roger Williams University in Providence, Rhode Island. In addition to a calculus requirement, MBA schools also usually require additional financial mathematics courses as a preparatory course

Business calculus