#### Associate Degree Courses at CalSouthern

The following associate degree courses comprise the curriculum of CalSouthern’s Associate of Arts in Liberal Studies (AALS) program. If you have questions regarding any of these associates degree courses, or about CalSouthern’s AALS program, please contact an Enrollment Advisor today.

#### General Education

### MATH 1115 Pre-Calculus

**Credits :**3

Pre-Calculus provides the concepts and skills that should be mastered before enrollment in a college-level calculus course. The students will study and explore the following types of mathematical functions: linear; polynomial, exponential, logarithmic, and trigonometric. In addition students develop problem solving and critical thinking skills.

**Learning Outcomes:**

- Illustrate linear inequalities in one variable.
- Solve quadratic equations.
- Identify functions, function notations, and graphs of a function.
- Analyze the graph of a function.
- Graph polynomial functions.
- Define the intermediate value theorem.
- Calculate exponential equations graphically.
- Distinguish the properties of logarithms.
- Interpret the trigonometry of real numbers.
- Explain the transformations and applications of trigonometric graphs.
- Describe the inverse trig functions and their applications
- Summarize the law of cosines.
- Calculate linear systems using matrix equations.
- Classify linear systems in two and three variables.
- Interpret nonlinear systems of equations and inequalities.
- Simplify computations for the rotation of axes.
- Integrate the course concepts through interaction with other Learners and your Mentor.
- Introduce self and explain course expectations.
- Evaluate information critically and competently.

#### English

### MATH 1115 Pre-Calculus

**Credits :**3

Pre-Calculus provides the concepts and skills that should be mastered before enrollment in a college-level calculus course. The students will study and explore the following types of mathematical functions: linear; polynomial, exponential, logarithmic, and trigonometric. In addition students develop problem solving and critical thinking skills.

**Learning Outcomes:**

- Illustrate linear inequalities in one variable.
- Solve quadratic equations.
- Identify functions, function notations, and graphs of a function.
- Analyze the graph of a function.
- Graph polynomial functions.
- Define the intermediate value theorem.
- Calculate exponential equations graphically.
- Distinguish the properties of logarithms.
- Interpret the trigonometry of real numbers.
- Explain the transformations and applications of trigonometric graphs.
- Describe the inverse trig functions and their applications
- Summarize the law of cosines.
- Calculate linear systems using matrix equations.
- Classify linear systems in two and three variables.
- Interpret nonlinear systems of equations and inequalities.
- Simplify computations for the rotation of axes.
- Integrate the course concepts through interaction with other Learners and your Mentor.
- Introduce self and explain course expectations.
- Evaluate information critically and competently.

#### Humanities

### MATH 1115 Pre-Calculus

**Credits :**3

Pre-Calculus provides the concepts and skills that should be mastered before enrollment in a college-level calculus course. The students will study and explore the following types of mathematical functions: linear; polynomial, exponential, logarithmic, and trigonometric. In addition students develop problem solving and critical thinking skills.

**Learning Outcomes:**

- Illustrate linear inequalities in one variable.
- Solve quadratic equations.
- Identify functions, function notations, and graphs of a function.
- Analyze the graph of a function.
- Graph polynomial functions.
- Define the intermediate value theorem.
- Calculate exponential equations graphically.
- Distinguish the properties of logarithms.
- Interpret the trigonometry of real numbers.
- Explain the transformations and applications of trigonometric graphs.
- Describe the inverse trig functions and their applications
- Summarize the law of cosines.
- Calculate linear systems using matrix equations.
- Classify linear systems in two and three variables.
- Interpret nonlinear systems of equations and inequalities.
- Simplify computations for the rotation of axes.
- Integrate the course concepts through interaction with other Learners and your Mentor.
- Introduce self and explain course expectations.
- Evaluate information critically and competently.

#### Mathematics

### MATH 1115 Pre-Calculus

**Credits :**3

**Learning Outcomes:**

- Illustrate linear inequalities in one variable.
- Solve quadratic equations.
- Identify functions, function notations, and graphs of a function.
- Analyze the graph of a function.
- Graph polynomial functions.
- Define the intermediate value theorem.
- Calculate exponential equations graphically.
- Distinguish the properties of logarithms.
- Interpret the trigonometry of real numbers.
- Explain the transformations and applications of trigonometric graphs.
- Describe the inverse trig functions and their applications
- Summarize the law of cosines.
- Calculate linear systems using matrix equations.
- Classify linear systems in two and three variables.
- Interpret nonlinear systems of equations and inequalities.
- Simplify computations for the rotation of axes.
- Integrate the course concepts through interaction with other Learners and your Mentor.
- Introduce self and explain course expectations.
- Evaluate information critically and competently.

#### Natural Science

### MATH 1115 Pre-Calculus

**Credits :**3

**Learning Outcomes:**

- Illustrate linear inequalities in one variable.
- Solve quadratic equations.
- Identify functions, function notations, and graphs of a function.
- Analyze the graph of a function.
- Graph polynomial functions.
- Define the intermediate value theorem.
- Calculate exponential equations graphically.
- Distinguish the properties of logarithms.
- Interpret the trigonometry of real numbers.
- Explain the transformations and applications of trigonometric graphs.
- Describe the inverse trig functions and their applications
- Summarize the law of cosines.
- Calculate linear systems using matrix equations.
- Classify linear systems in two and three variables.
- Interpret nonlinear systems of equations and inequalities.
- Simplify computations for the rotation of axes.
- Integrate the course concepts through interaction with other Learners and your Mentor.
- Introduce self and explain course expectations.
- Evaluate information critically and competently.

#### Social Science

### MATH 1115 Pre-Calculus

**Credits :**3

**Learning Outcomes:**

- Illustrate linear inequalities in one variable.
- Solve quadratic equations.
- Identify functions, function notations, and graphs of a function.
- Analyze the graph of a function.
- Graph polynomial functions.
- Define the intermediate value theorem.
- Calculate exponential equations graphically.
- Distinguish the properties of logarithms.
- Interpret the trigonometry of real numbers.
- Explain the transformations and applications of trigonometric graphs.
- Describe the inverse trig functions and their applications
- Summarize the law of cosines.
- Calculate linear systems using matrix equations.
- Classify linear systems in two and three variables.
- Interpret nonlinear systems of equations and inequalities.
- Simplify computations for the rotation of axes.
- Integrate the course concepts through interaction with other Learners and your Mentor.
- Introduce self and explain course expectations.
- Evaluate information critically and competently.