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Center for Curriculum and Transfer Articulation
College Algebra / Functions
Course: MAT150

First Term: 2004 Fall
Lecture   5 Credit(s)   5 Period(s)   5 Load  
Course Type: Academic
Load Formula: S


Description: Analysis and interpretation of the behavior and nature of functions including polynomial, rational, exponential, logarithmic, power, absolute value, and piecewise-defined functions; systems of equations, modeling and solving real world problems. Additional topics may include matrices, combinatorics, sequences and series, and conics.



MCCCD Official Course Competencies
1. Analyze and interpret the behavior of functions, including end behavior, increasing and decreasing, extrema, asymptotic behavior, and symmetry. (I, II, III)
2. Solve polynomial, rational, exponential, and logarithmic equations analytically and graphically. (I, II, III)
3. Find real and complex zeros of polynomial functions analytically and graphically. (II)
4. Graph polynomial, rational, exponential, logarithmic, power, absolute value, and piecewise-defined functions. (I, II, III)
5. Determine domain and range of polynomial, rational, exponential, logarithmic, power, absolute value, and piecewise-defined functions. (I, II, III)
6. Use transformations to graph functions. (I, II, III)
7. Perform operations, including compositions, on functions and state the domain of the resulting function. (I, II, III)
8. Determine whether a relation is a function when represented numerically, analytically, or graphically. (I, II, III)
9. Determine whether a function is one-to-one when represented numerically, analytically, or graphically. (I, II, III)
10. Determine the inverse of a relation when represented numerically, analytically, or graphically. (I, II, III)
11. Classify functions by name when represented numerically, analytically, or graphically. (I, II, III)
12. Determine regression models from data using appropriate technology and interpret results. (I, II, III)
13. Read and interpret quantitative information when presented numerically, analytically, or graphically. (I, II, III, IV)
14. Justify and interpret solutions to application problems. (I, II, III, IV, V)
15. Compare alternative solution strategies. (I, II, III, IV)
16. Calculate and interpret average rate of change. (I, II, III)
17. Model and solve real world problems. (I, II, III, IV, V)
18. Solve systems of three linear equations in three variables. (IV)
19. Solve systems of linear inequalities. (IV)
20. Communicate process and results in written and verbal formats. (I, II, III, IV, V)
 
MCCCD Official Course Outline
I. Behavior and Nature of Functions
   A. Graphic, numeric, and algebraic representations
   B. Characteristics of basic functions
   C. Properties, operations, transformations, and inverses of functions
II. Polynomial and Rational Functions
   A. Polynomial and rational equations
   B. Graphs of polynomial and rational functions
   C. Applications
III. Exponential and Logarithmic Functions
   A. Exponential and logarithmic equations
   B. Graphs of exponential and logarithmic equations
   C. Applications
IV. Systems of Equations and Inequalities
   A. Linear systems
   B. Applications
V. Departments must include one or more of the following topics in their courses
   A. Matrices
   B. Combinatorics
   C. Sequences and series
   D. Conics
   D. Applications
 
MCCCD Governing Board Approval Date:  4/27/2004

All information published is subject to change without notice. Every effort has been made to ensure the accuracy of information presented, but based on the dynamic nature of the curricular process, course and program information is subject to change in order to reflect the most current information available.