MATH 1830 - Applied Calculus

3 sem hrs cr

This course is an intuitive approach to the concepts of limits and the differential and integral calculus with applications to business, economics, and related fields. Prerequisite: A minimum ACT Mathematics Subject Score of 25 or MATH 1630  or MATH 1710  or MATH 1730 , and exemption from or completion of ENGL 0810  and READ 0810  

In rare and unusual circumstances, a course prerequisite can be overridden with the permission of the Department Lead for the discipline. 

This course may include proctored exams which must be completed on campus or at an instructor approved proctoring center which may require additional costs to the student. Please consult your instructor for additional details.

  Formerly/Same As (Formerly MAT 1330)

Transfer (UT) or Non-Transfer Course (UN): UT

By the end of the course, students will be able to…

• understand the fundamentals of calculus.
• demonstrate the concepts of differential calculus and develop applications to business, economics, and related fields.
• demonstrate integral calculus and develop applications to business, economics, and related fields.

Course Objectives

Throughout the course, students will have the opportunity to…

• graph functions and evaluate them.
• evaluate limits.
• determine if a function is continuous.
• find asymptotes, both vertical and horizontal.
• find the slope of the tangent line at any point on a curve.
• write the equations of the tangent line at a particular point on a curve.
• calculate derivatives of power functions.
• calculate derivatives using power and quotient rules.
• calculate derivatives using chain rule.
• calculate higher-order derivatives.
• do problems concerning marginal rates.
• calculate derivatives using implicit differentiation.
• calculate the differential of y.
• determine where a function is increasing or decreasing.
• determine concavity and inflection points.
• find absolute extrema.
• sketch curves.
• do applications with maxima and minima.
• examine exponential and logarithmic functions and do applications with each.
• find derivatives of exponential and logarithmic functions.
• do applications of exponential and logarithmic functions.
• integrate using the power rule of substitution techniques.
• use integration to compute area between a curve and the x-axis or between two curves.
• evaluating definite integrals.
• solve differential equations.