National College Credit Recommendation Service

## Descriptions and credit recommendations for all evaluated learning experiences

Length:
39 hours (13 weeks).
Dates:

September 2009 - Present.

Objectives:

Upon successful completion of the course, students will be able to: apply the concept of limits; find limits of functions; find derivatives; graph using derivatives; solve verbal problems, including: related rates, maximum-minimum, and rectilinear motion.

Instruction:

Major topics are: limits, derivatives, graphs using limits and derivatives, and verbal applications that use derivatives. It is recommended that students complete a prerequisite course in Pre-Calculus (MAT129).

Credit recommendation:

In the lower division baccalaureate/associate degree category, 3 semester hours in Mathematics (2/11) (4/16 revalidation) (3/21 revalidation).

Length:
39 hours (13 weeks).
Dates:

September 2009 - Present.

Objectives:

Upon successful completion of the course, students will be able to: apply integration including definite integrals, limits, integration of logs, exponential functions, trigonometric functions; integrate by parts; integrate using partial fractions; and solve problems involving area, volume, rectilinear motion and growth and decay.

Instruction:

Major topics are: continuation of Calculus I; antiderivatives, integration by u-substitution; areas as limits; the definite integral; area between two curves; volumes, length of plane curves; area of surface of revolution; logarithms and exponential functions; first-order differential equations; inverse functions; inverse trigonometric functions and their derivatives; integration by parts; and integration of powers of sine, cosine, secant, and tangent. Also included are verbal problems requiring the above concepts. Prerequisite: Calculus I (MAT231).

Credit recommendation:

In the upper division baccalaureate degree category, 3 semester hours in Mathematics (2/11) (4/16 revalidation) (3/21 revalidation).

Length:
39 hours (13 weeks).
Dates:

September 2009 - Present.

Objectives:

Upon successful completion of the course, students will be able to: solve verbal problems algebraically; use the real and complex number system; graph linear equations and inequalities; and apply the concepts of function, domain, and range.

Instruction:

Major topics are: algebraic expressions, real and complex numbers, equations and inequalities, algebraic and graphic solutions, verbal applications and introduction to functions.

Credit recommendation:

In the lower division baccalaureate/associate degree category, 3 semester hours in Mathematics (2/11) (4/16 revalidation) (3/21 revalidation).

Length:

39 hours (13 weeks).

Dates:

May 2018 -  Present.

Objectives:

Upon successful completion of the course, students will be able to: read, interpret and write presentations using logical mathematical symbols; write proofs of truth value of propositions, using inference rules and axioms of logic; use set theory to explain mathematical logic involving collections of objects as units; discuss the concept of algorithms as processes to solve problems;  solve a recurrence relation; tell whether a function is injective or subjective; define functions explicitly and recursively; calculate probabilities using counting rules, combinations and permutations; write proofs relating number of vertices and number of edges in a tree; write proofs related to connectedness of graphs; and find shortest path in a graph and compute transitive closure of a relation.

Instruction:

Major topics include: logic and proofs, sets theory, algorithms, functions, induction and recursion, counting, discrete probability, divide and conquer algorithms, relations, equivalence relations, partial ordering, graphs, trees, Boolean algebra, and switching circuits.

Credit recommendation:

In the upper division baccalaureate degree category, 3 semester hours in Mathematics, Business, Finance, Statistics, or Computer Science (5/18) (3/21 revalidation).

Length:
39 hours (13 weeks).
Dates:

September 2009 - Present.

Objectives:

Upon successful completion of the course, students will be able to: organize a given data set in frequency distributions and graphs; calculate all standard statistics; use simple probability notions; handle normal and binomial distribution problems; use confidence intervals, measures of association and statistical tests appropriately for inference to the population; and comprehend the various techniques of comparative statistics.

Instruction:

Major topics are: measurement scales, sources of data, descriptive statistics, data display, univariate measure of location and variability, basic probability, normal curve and applications, correlation and regression, inferential statistics, probability theory, binomial distribution, and parametric and non parametric tests of significant difference.

Credit recommendation:

In the upper division baccalaureate degree category, 3 semester hours in Mathematics (2/11) (4/16 revalidation) (3/21 revalidation).

Length:
39 hours (13 weeks).
Dates:

September 2009 - Present.

Objectives:

Upon successful completion of the course, students will be able to: use vectors and vector spaces; solve systems of linear equations; perform matrix arithmetic; solve equations involving matrices; apply determinants, minors, cofactors, classical ad joints, eigenvalues, and eigenvectors of matrices, canonical form of matrices, and invariant subspaces; and use inner products to compute norms.

Instruction:

Major topics are: vectors, linear equations and systems of linear equations, matrices, vector spaces, basis and dimension, linear transformations, determinants, eigenvalues and eigenvectors, characteristic equation, diagonalization and general inner products. Corequisites: Pre- Calculus (MAT129) or Calculus I (MAT231).

Credit recommendation:

In the lower division baccalaureate/associate degree category OR in the upper division baccalaureate degree category, 3 semester hours in Mathematics (2/11) (4/16 revalidation) (3/21 revalidation).

Length:
39 hours (13 weeks).
Dates:

September 2009 - Present.

Objectives:

Upon successful completion of the course, students will be able to apply the concept of function and solve all types of equations and graph linear, trigonometric, logarithmic, exponential and rational equations as well as conic sections.

Instruction:

Major topics are: graphing linear, trigonometric, logarithmic, exponential and rational equations as well as conic sections, and solving verbal applications of the above.

Credit recommendation:

In the lower division baccalaureate/associate degree category, 3 semester hours in Mathematics, Mathematics Education, or Computer Science (2/11) (4/16 revalidation) (3/21 revalidation).