National College Credit Recommendation Service

## Descriptions and credit recommendations for all evaluated learning experiences

Length:

Classroom: 39 hours (13 weeks); Distance/Hybrid: Varies.

Dates:

September 2009 - Present.

Objectives:

Upon successful completion of the course, students will be able to: define the concept of limits; find limits of functions; find derivatives; find derivatives of trigonometric functions; graph using derivatives; find derivatives of functions defined through composition of functions; and solve verbal problems – related rates, max-min, and rectilinear motion.

Instruction:

Topics covered include limits, derivatives, graphs using limits and derivatives, and verbal applications that use derivatives.

Credit recommendation:

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

Length:

Classroom: 39 hours (13 weeks); Distance/Hybrid: Varies.

Dates:

September 2009 - Present.

Objectives:

Upon successful completion of the course, students will be able to: define and apply integration including definite integrals and its connection to area; calculate limits; calculate integration of logs, exponential functions, trigonometric functions and integrate by parts, integrate using partial fractions; solve problems involving area, volume, rectilinear motion and growth and decay; numerical methods for calculating integrals; and solve differential equations by separating variables.

Instruction:

Topics include a 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.

Credit recommendation:

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

Length:

Classroom: 39 hours (13 weeks); Distance/Hybrid: Varies.

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:

Topics include 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:

Classroom: 39 hours (13 weeks); Distance/Hybrid: Varies.

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;show isomorphism.

Instruction:

Topics include logic, binary system, sets, functions, relations, equivalence relations, deduction, induction, recursion, counting, algorithms in pseudo-code, matrices, probability, graphs, connectedness, trees, path, circuits, isomorphism.

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:

Classroom: 39 hours (13 weeks); Distance/Hybrid: Varies.

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.

Instruction:

Topics covered include: 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:

Classroom: 39 hours (13 weeks); Distance/Hybrid: Varies.

Dates:

September 2009 - Present.

Objectives:

Upon successful completion of the course, students will be able to: understand vectors and vector spaces; solve systems of linear equations; perform matrix arithmetic; solve equations involving matrices; define and use determinants, minors, cofactors, classical ad joints, eigenvalues, and eigenvectors of matrices, canonical form of matrices, and invariant subspaces; show that a set of vectors is linearly independent and/r spanning a vector space; define and find the dimension; define and find the rank and nullity of a matrix; find the row space, column space and null space of a matrix; use inner and cross products and the scalar triple product.

Instruction:

Topics covered include: 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:

Classroom: 39 hours (13 weeks); Distance/Hybrid: Varies.

Dates:

September 2009 - Present.

Objectives:

Upon successful completion of the course, students will be able to: apply geometry and trigonometry  basics for use throughout the course: to use the unit circle for all trigonometric equations and graphs; to understand in order to use real number system for solving equations and inequalities; to work with algebraic expressions: monomials; to work with algebraic expressions: polynomials; to use algebraic rational expressions, including trig identities; to work with complex numbers;  differentiate and apply concept of function vs relations; find equations and graph linear functions; establish symmetries in a graph; recognize equations and graph conic sections; use quadratic formula; recognize and use language related to functions; perform operations with functions; graph equations containing radicals and trig functions; apply  the concept of inverse function;  work with logarithmic and exponential functions and their graphs; graph rational, absolute value and piece-wise defined functions; apply the concept of function, to solve all types of equations and to graph linear, trigonometric, logarithmic, exponential and rational equations as well as conic sections.

Instruction:

Topics covered include skills in solving equations of all types skills in graphing linear, trigonometric, logarithmic, exponential and rational equations as well as conic sections, skills in 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).