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At the conclusion of this course, the student should be able to:
1. Apply effective learning strategies for transfer level mathematics.
2. Review simplifying expressions, including rational, exponential, logarithmic, and radical.
3. Review concept of function including evaluation, graphing, domain and range.
4. Review graphical and algebraic methods for solving linear and nonlinear equations.
5. Review graphs of conic sections, including parabolas, ellipses, and hyperbolas.
6. Review algebraic and graphical methods for solving linear and nonlinear systems of
equations.
7. Review graphical solutions to systems of linear inequalities.
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I. Topics Related to Developing Effective Learning Skills
A. Study skills
1. organization and time management
2. test preparation
3. test-taking skills
B. Self-assessment: using performance criteria to judge and improve work, analyzing and
correcting test errors
C. Use of resources: strategies identifying, utilizing, and evaluating the effectiveness of
resources in improving learning, e.g., peer study groups, computer resources, lab
resources, tutoring resources
II. Review of Uses of Technology
A. Evaluate and graph functions
B. Solve equations and inequalities graphically
III. Review of Functions
A. Definition of relation, function, domain, and range
B. Function notation and evaluation
C. Interval notation, intersection, and union
D. Analyze graphs of linear, polynomial, absolute value, radical, exponential, and logarithmic
functions with and without graphing technology
E. Mathematical models and other applications of linear and nonlinear functions
IV. Review of Equations and Inequalities
A. Equations
1. Solutions of literal equations
2. Algebraic and graphical solutions of linear, quadratic, radical, rational, rational,
absolute value, exponential, and logarithmic equations
3. Linear equations in two variables
B. Inequalities
1. Algebraic solutions to absolute value inequalities
2. Graphical solutions of linear and nonlinear inequalities using graphing technology
V. Review of Quadratic Functions
A. Vertex and general forms
B. Discriminant
C. Solutions to quadratic equations using factoring, quadratic formula, and completing the
square
VI. Review of Simplifying Expressions
A. Properties of exponents
B. Simplification of radical expressions
C. Simplification of rational expressions, including complex fractions
D. Operations on rational expressions
VII. Review of Exponential and Logarithmic Functions
A. The number e
B. Common and natural logarithms
C. Laws of logarithms
VIII. Review of Conic Sections
A. Midpoint and Distance Formulas
B. Circles
C. Parabolas
D. Ellipses
E. Hyperbolas
IX. Review of Systems of Equations and Inequalities
A. Linear and nonlinear systems of equations
B. Systems of linear inequalities
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An online homework system
Intermediate Algebra. Arnold, David. Open Source Text. 2013 (classic)
Intermediate Algebra. Marecek, Lynn. OpenStax. 2017