|
Official Course
Description: MCCCD Approval: 4-27-2004 |
||
|
MAT151 2004
Fall – 2011 Summer II |
LEC 4.0 Credit(s) 4.0 Period(s) 4.0 Load Acad |
|
|
College Algebra / Functions |
||
|
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. Prerequisites: Grade of "C" or better in MAT120, or MAT121, or MAT122, or equivalent, or satisfactory score on District placement exam. |
||
|
|
||
|
Course Note: Students may receive credit for only one of the following: MAT150, MAT151, MAT152, or MAT187. |
||
|
|
||
Go to Competencies Go to Outline
|
MCCCD Official Course Competencies: |
|
|
|
|
|
MAT151 2004 Fall – 2011 Summer II |
College Algebra /
Functions |
|
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) |
|
|
|
Go to Description Go to top of
Competencies
|
MCCCD Official Course Outline: |
|
|
|
|
|
MAT151 2004 Fall – 2011 Summer II |
College Algebra /
Functions |
|
|
|
|
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 |
|
Go to Description Go to top of Competencies Go to top of Outline