## Mathematics - Maalot Educational Network

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## Descriptions and credit recommendations for all evaluated learning experiences

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

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.

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

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

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.

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.

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

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

May 2018 - Present.

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.

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.

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

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

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

**Corequisites:** Pre- Calculus (MAT129) or Calculus I (MAT231).

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

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.