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College Algebra













1.  Complex Numbers​    ​ME 1
2. Equations in Complex Numbers System ME 2
3.  Radical Equations; Factorable Equations; Equations Quadratic in  Form  ME 3
4.  Functions​ ME 5
5.  The Graph of a Function​ ME 6
6.  Properties of a Function​ ME 7
​7.  Library of a Function ​ME 8
8.  Graphing Techniques​ ME 9
​9. Linear Functions and Their Properties   ME 10
​10. Quadratic Functions and Their Properties ME 11
​11. Quadratic Inequalities ​ME 12
​12. Polynomial Functions and Models ​ME 13
​13. Rational Functions ​ME
​14. The Real Zeros of Polynomial Functions ME 14
​15. Complex Zeros of Polynomial Functions ​ME 15
​16. Composite Functions ME 16
​17. One-to-One Functions; Inverse Functions ​ME 17
​18. Exponential Functions ME 18
​19. Logarithmic Function ME 19
​20. Properties of Logarithms ME 20
​21. Logarithmic and Exponential Equations ME 21
​22. Applications ​ME 22


 Course Objectives







Perform arithmetic operations with complex numbers ME 1 PE 1
Find all imaginary solutions to a polynomial equation ME 2 ​PE 2
Solve equations containing radicals ​ME 3 ​PE 3
Solve non-linear inequalities ME 4 ​PE 4
State the domain of a function in interval notation ME 5 ​PE 5
Graph a function using transformations ​ME 6 ​PE 6
Find the composition of two functions ​ME 7 ​PE 7
Find the inverse of a one-to-one function ​ME 8 ​PE 8
Find the slope, intercepts, and graph of a linear function ​ME 9 ​PE 9
Find the intercepts of the graph of a polynomial function ​ME 10 ​PE 10
Find the domain and graph of an exponential function ​ME 11 ​PE 11
Evaluate a log function ​ME 12 ​PE 12
Use log properties to simplify an expression ​ME 13 ​PE 13
Solve exponential equations ​ME 14 ​PE 14
Solve log equations ​ME 15 ​PE 15
Solve applications ​ME 16 ​PE 16


Graphing Calculator Tutorials


​Topic/ Tutorials
Complex Numbers                                        
Graph of a Function                                
Graphing Techniques
​Minimum and Maximum of a Function
​Linear Function
​Quadratic Function
​Quadratic Inequality
​Behavior of Polynomial Functions
Real Zeros of Polynomial Function​
Exponential Function​
​Exponential Equations
​Logarithmic Functions
​Changing Base for Logarithmic Expressions
​Basic Logarithmic Operations
Logarithmic Equations​




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