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**LIBERAL STUDIES & EDUCATION**

**Liberal Studies**

1.

Increase proficiency in the different subjects taught in the K-8 curriculum.

2.

Understand the foundations of and connections between disciplines.

3.

Make explicit connections between current courses in the major and K-8 classrooms.

4.

Discover and develop unique God-given abilities.

5.

Build an understanding of students in K-8 classrooms in California.

6.

Learn ways to examine and test ideas and to reflect on teaching practices in order to become a life-long learner.

**MATHEMATICS**

**Mathematics Core**

1.

Effectively prepare and give oral presentations from research literature in mathematics.

2.

Demonstrate mastery of Calculus.

3.

Demonstrate mastery of Elementary Linear Algebra.

4.

Demonstrate mastery of Elementary Differential Equations.

**Applied Mathematics**

1.

Demonstrate a working knowledge of probability theory.

2.

Use probability and statistical inferences to draw conclusions.

3.

Demonstrate a basic working knowledge of the concepts of numerical analysis through the use of computers.

4.

Demonstrate a working knowledge of mathematical applications in a variety of applied fields.

5.

Demonstrate mastery of the various methods of discrete mathematics.

**Mathematics Education**

1.

Demonstrate a working knowledge of fundamental algebraic structures (e.g. groups, rings, and fields).

2.

Demonstrate a working knowledge of number theory.

3.

Demonstrate a basic working knowledge of the key persons and events in the history of mathematics.

4.

Demonstrate a basic working knowledge of the nature and applications of discrete structures.

5.

Demonstrate a basic mastery of the principles of Euclidean and non-Euclidean geometries.

**Pure Mathematics**

1.

Demonstrate a working knowledge of fundamental algebraic structures (e.g. groups, rings, and fields).

2.

Demonstrate mastery of the rigorous development and theory of calculus.

3.

Demonstrate a working knowledge of number theory.

4.

Demonstrate a basic working knowledge of the key persons and events in the history of mathematics.

5.

Demonstrate a basic working knowledge of the properties of complex numbers and complex-valued functions.

**MUSIC (BACHELOR of ARTS)**

**Music Core**

1.

Demonstrate a familiarity with the “grammar” of music, including notation, chord progressions, part-writing, and

melody harmonization.

2.

Articulate a biblically-based theology of music and worship.

3.

Demonstrate musicianship either through the mastery of at least one musical instrument or through successful

completion of a project.

**Music and Communication**

1.

Engage in discussion as a speaker who is easily understood and can present a persuasive argument and as a listener

who can correctly interpret and analyze intentions and techniques.

2.

Explain the function and impact of the mass media on society from a biblical worldview.

3.

Demonstrate a working knowledge of the process of interpersonal communication, including verbal and

nonverbal messages.