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COURSE INFORMATION
COURSE INFORMATION
Dual Credit MATH 1314 – College Algebra: Is an in-depth study and applications of polynomial, rational, radical, exponential, and logarithmic functions, and systems of equations using matrices. As its name says this class will give you High School Math credit and College credit.
This course intended student outcomes are:
Critical Thinking: to include creative thinking, innovation, inquiry, and analysis, evaluation and synthesis of information
Communication: to include effective development, interpretation and expression of ideas through written, oral and visual communication
Empirical and Quantitative Skills: to include the manipulation and analysis of numerical data or observable facts resulting in informed conclusions
The expected student learning outcomes are:
Demonstrate and apply knowledge of properties of functions, including domain and range, operations, compositions, and inverses.
Recognize and apply polynomial, rational, radical, exponential and logarithmic functions and solve related equations.
Apply graphing techniques.
Evaluate all roots of higher degree polynomial and rational functions.
Recognize, solve and apply systems of linear equations using matrices.
COURSE CONTENT
COURSE CONTENT
Unit 1. Prerequisites
Unit 1. Prerequisites
1.1 Real Numbers: Algebra Essentials
1.2 Exponents and Scientific Notation
1.3 Radicals and Rational Expressions
1.4 Polynomials
1.5 Factoring Polynomials
1.6 Rational Expressions
Unit 2. Equations and Inequalities
Unit 2. Equations and Inequalities
2.1 The Rectangular Coordinate Systems and Graphs
2.2 Linear Equations in One Variable
2.3 Models and Applications
2.4 Complex Numbers
2.5 Quadratic Equations
2.6 Other Types of Equations
2.7 Linear Inequalities and Absolute Value Inequalities
Unit 3. Functions
Unit 3. Functions
3.1 Functions and Function Notation
3.2 Domain and Range
3.3 Rates of Change and Behavior of Graphs
3.4 Composition of Functions
3.5 Transformation of Functions
3.6 Absolute Value Functions
3.7 Inverse Functions
Unit 4. Linear Functions
Unit 4. Linear Functions
4.1 Linear Functions
4.2 Modeling with Linear Functions
4.3 Fitting Linear Models to Data
Unit 5. Polynomial and Rational Functions
Unit 5. Polynomial and Rational Functions
5.1 Quadratic Functions
5.2 Power Functions and Polynomial Functions
5.3 Graphs of Polynomial Functions
5.4 Dividing Polynomials
5.5 Zeros of Polynomial Functions
5.6 Rational Functions
5.7 Inverses and Radical Functions
5.8 Modeling Using Variation
Unit 6. Exponential and Logarithmic Functions
Unit 6. Exponential and Logarithmic Functions
6.1 Exponential Functions
6.2 Graphs of Exponential Functions
6.3 Logarithmic Functions
6.4 Graphs of Logarithmic Functions
6.5 Logarithmic Properties
6.6 Exponential and Logarithmic Equations
6.7 Exponential and Logarithmic Models
6.8 Fitting Exponential Models to Data
Unit 7. Systems of Equations and Inequalities
Unit 7. Systems of Equations and Inequalities
7.1 Systems of Equations
7.2 Systems of Linear Equations: Two Variables
7.3 Systems of Linear Equations: Three Variables
7.4 Systems of Nonlinear Equations and Inequalities: Two Variables
7.5 Matrices and Matrix Operations
7.6 Solving Systems with Gaussian Elimination
Math 1314 College Algebra Fall 20204
Math 1314 College Algebra Fall 20204
Course Begins: August 12 Course Ends: December 9
Course Begins: August 12 Course Ends: December 9
Course length: 15 weeks
Course length: 15 weeks
COURSE SCOPE END SEQUENCE
COURSE SCOPE END SEQUENCE
DC - College Algebra Hybrid - SJC Scope and Sequence 2024-2025.pdfTIME MANAGEMENT TIPS
TIME MANAGEMENT TIPS
OpenStax.Managing.Time.and.Priorities.Guide_C4ZghWy.pdfSTUDY STRATEGIES
STUDY STRATEGIES
OpenStax.Effective.Reading.and.Notetaking.Guide_E7WFZSP.pdfTexbook
Texbook
Abramson, Jay - College Algebra 2e. 2021 Rice University. https://openstax.org
Abramson, Jay - College Algebra 2e. 2021 Rice University. https://openstax.org
College-Algebra-2e-WEB.pdfPage updated
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