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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.