Mathematics - MATH 145

Course Description

The main topics of this course are differentiation of algebraic, exponential and logarithmic functions; curve sketching; optimization; constrained optimization; integration; introduction to functions of several variables; and applications.

Prerequisites

(A requirement that must be completed before taking this course.)

Course Competencies

Upon successful completion of the course, the student should be able to:

• Solve a variety of practical problems, including but not limited to, problems of production, growth, decay and compound interest, using algebraic, exponential and logarithmic functions.
• Compare the concepts of limit and derivative of a function verbally, graphically, numerically or analytically.
• Compute manually the precise derivatives of algebraic, exponential and logarithmic functions at selected points.
• Interpret the meanings of the precise derivatives of algebraic, exponential and logarithmic functions at selected points.
• Determine an estimate for the derivative of any smooth function at a selected point via numerical approximation on a calculator.
• Interpret the meaning of an estimate for the derivative of any smooth function at a selected point via numerical approximation on a calculator.
• Apply methods of differentiation to solve a variety of practical problems, including but not limited to, problems of optimization.
• Compare the concepts of limit and integral of a function verbally, graphically, numerically or analytically.
• Compute manually the precise definite integrals of algebraic, exponential and logarithmic functions between selected points.
• Interpret the meanings of the precise definite integrals of algebraic, exponential and logarithmic functions between selected points.
• Determine an estimate for the definite integral of any smooth function between selected points via numerical approximation on a calculator.
• Interpret the meaning of an estimate for the definite integral of any smooth function between selected points via numerical approximation on a calculator.
• Apply methods of integration to solve a variety of practical problems, including but not limited to, problems of accumulated income.
• Compute manually the precise partial derivatives of algebraic, exponential and logarithmic function of several variables at selected points.
• Interpret the meanings of the precise partial derivatives of algebraic, exponential and logarithmic functions of several variables at selected points.
• Apply methods of partial differentiation to solve practical problems of constrained optimization.

Course Schedule

Currently no sections of this class are being offered.