MAT-2160 Applied Calculus

Credits: 3
In this course, students develop foundational skills in differential and integral calculus with an emphasis on applications in business, life sciences, and social sciences. They evaluate limits, determine continuity, and assess differentiability of functions. Students find equations of tangent lines and apply rules of differentiation to algebraic, exponential, and logarithmic functions. They analyze function behavior, solve optimization problems, and interpret results in applied contexts. Students also apply basic integration techniques to calculate accumulated change, evaluate definite integrals, and explore partial derivatives of functions with several variables.

Prerequisite(s): Determined by placement methods or with a grade of C or higher in either MAT-1250 or MAT-1350

Course Outcomes

Evaluate limits of functions using graphs, tables and algebraic methods.
Use limits and graphs to determine continuity and differentiability of a function at a point.
Find equations of tangent lines.
Differentiate algebraic, exponential, and logarithmic functions using the limit definition and rules of differentiation.
Determine properties of a function using its derivatives.
Solve applied optimization problems using derivatives.
Integrate algebraic and exponential functions.
Evaluate definite integrals.
Apply partial derivatives of functions of several variables.