Course Information

MTH 163 is intended to prepare students for Applied Calculus (MTH 271) the calculus course for business and social science majors and for Statistics MTH 241.  Those students interested in taking Calculus with Analytic Geometry (MTH 173) the calculus course for math, engineering, computer science, etc. majors can take both MTH 163 and MTH 164 or take MTH 166.  Students should note that MTH 164 is not offered at the Loudoun Campus.  In MTH 163 we concentrate on a study of functions and their properties and graphs.  These include linear, polynomial, rational exponential and logarithmic functions. 

Topics covered:

• Review of algebraic expressions
• Exponents and radicals
• Inequalities and absolute value
• Complex numbers
• Graphs
• Functions
• Polynomial functions
• Rational functions
• Exponential and logarithmic functions
• Matrices
• Solving systems of equations

 Classroom Presentations

Section P.5 Graphs

Section 1.5 Sketchpad Transformations

Section 2.1 Linear Models

Section 2.4 Applications

Section 2.4 Completing the Square

Section 3.1 Completing the Square of a Function

Section 3.7  Linear and Quadratic Models

Review for Test 2

Section 4.1 Exponential Functions

Section 4.2 4.3 Properties of Logarithms

Section 4.3 Logarithm Applications

Tutorials

Rules of Numbers

Factoring Tutorial

Evaluating Functions Tutorial

Lines and Slopes Tutorial

Parallel and Perpendicular Lines

Transformations Tutorial

Composite Functions Tutorial

Inverse Functions Tutorial

Asymptotes Tutorial

Curve Drawing Tutorial

Regressions Using the Calculator

Syllabus

MTH 163

Link to Online Textbook Site