MTH 63 - Applied Algebra I

MTH 20  or designated placement.

Course Description: Introduces the use of formulas and equations in an entirely practical and applied context. Topics include mathematical operations with real numbers, measurement, ratios, proportions, percentages, dimensional analysis, order of operations, solving equations numerically and symbolically, Pythagorean Theorem, trigonometry, area, perimeter, surface area and volume. Course is graded on a P/NP basis.

Course Learning Outcomes:

• CLO#1: Use mathematical problem solving techniques involving real numbers, exponents, order of operation, and linear equations.
• CLO#2: Create models of real world situations.
• CLO#3: Make mathematical connections to, and solve problems from, other disciplines that can be represented using real numbers, algebraic notation, and linear models.
• CLO#4: Use appropriate technology to enhance conceptual understanding of real numbers and algebraic expressions; and judge the reasonableness of their results.
• CLO#5: Complete projects that encourage independent, non-trivial exploration of situations that are best modeled by algebraic expressions.
• CLO#6: Solve problems using geometric formulas (perimeter, area, and volume) and dimensional analysis (unit conversion). (ILO: Quantitative literacy & reasoning)

Review of Basic Concepts

Basic operations with fractions, decimals and negative numbers

Measurement

Decimal to fraction conversion (w/rounding)

Fraction to decimal conversion

Ratio, proportion and percent

Dimensional analysis

Order of operations and problem solving

 Formulas and Equations

Solving simple and complex equations numerically

Solving simple equations symbolically

Right Triangle Geometry

Trigonometric functions

Solving right triangles using the Sine, Cosine, and Tangent functions

Pythagorean Theorem with applications

Angles 

Trigonometry with applications

Geometry

       Area and perimeter with applications

       Surface area with applications

       Volume with applications

       Conversion to different units

 

Typical Required and Recommended Equipment and Materials: Scientific calculator (TI-30), pencil, paper and graph paper or engineering paper.

ACTI Code and Course Type
351 Post-Secondary Remedial Math

Length of Course:
A required state minimum of (40) and a standard RCC delivery of (44) lecture hours per term, not to exceed (48) hours per term.