Central Arizona College
Arizona General Education Curriculum (AGEC) Approval Form
Mathematics
Date
Transferability
April 27, 2016
Course transfers to all three Arizona state universities as elective (E),
departmental elective credit (DEC), or an equivalent course. Indicate the
transfer designation from the most current Course Equivalency Guide (CEG).
ASU: MAT170(3) NAU: MAT Departmental
U of A: MATH111 -andElective also satisfies:
MATH Departmental
& Math Elective
Science & Applied
Elective
Credit(1)
Science [SAS]
☒ AGEC A: College Algebra/College Mathematics
Minimum Course Level
☐ AGEC B: Brief Calculus
Requirement
☐ AGEC S: First Year Calculus
All
AGEC courses must have a reading prerequisite of RDG094 or higher.
Reading Requirement
☒ Requires RDG094 or higher as a prerequisite.
☐ RDG094 is required for another prerequisite
Course Number and Name MAT182 Trigonometry with Algebra Review
A comprehensive coverage of trigonometry and selected topics from
Course Catalog
college algebra for students intending to take calculus: measurements of
Description
angles, trigonometric functions, equations and graphs, inverse
trigonometric functions, identities, polar coordinates, solutions of
triangles, applications, complex numbers, DeMoivre's theorem, vectors,
logarithms, exponential functions, partial fractions, conics, sequences
and series.
1. (Application Level) Apply trigonometric concepts to solve right and
College Approved Course
non-right triangles using definitions, modeling, and the appropriate laws.
Learning Outcomes
2. (Application Level) Solve problems involving circles and angles.
3. (Application Level) Sketch the graphs of trigonometric functions in
rectangular, polar and parametric forms and identify the period,
amplitude, and shift of trigonometric functions.
4. (Application Level) Solve trigonometric equations using trigonometric
identities and inverse functions.
5. (Application Level) Apply concepts of trigonometry to solve problems
involving vectors.
6. (Synthesis Level) Simplify complex numbers in trigonometric form and
convert between complex and polar forms.
7. (Application Level) Graph equations of conic sections.
8. (Analysis Level) Decompose a rational expression into a sum of partial
fractions.
9. (Application Level) Solve and sketch logarithmic and exponential
equations using appropriate properties.
10. (Comprehension Level) Distinguish the difference between arithmetic
and geometric sequences and use appropriate formulas to find specific
terms.
11. (Evaluation Level) Evaluate the sum of finite and infinite series.
12. (Evaluation Level) Use technology to model, investigate, solve,
and/or justify solutions to given problems.
Mathematics AGEC Form_Approved 033116
Effective 2017-18
042616
Central Arizona College
Mathematics – AGEC Approval Form
College Approved
Internal/External
Standards
AGEC Category
Description
NA
Mathematics courses develop and/or promote the students’ ability to think
critically; to use mathematics to solve real-world problems; to use quantitative
processes to analyze, evaluate, and interpret solutions; and to communicate
ideas using mathematical languages and symbols.
Criteria the Course Must Meet to Qualify for the AGEC Category
Explain how the course meets the spirit of the AGEC’s criteria. In the
AGEC Category Criteria:
1. Course fosters the ability
to solve mathematical
computational problems
including manipulating
mathematical expressions
and/or equations
2. Course fosters the
application of
mathematical
computational concepts
and principles
3. Course fosters the
application of
mathematical skills in the
solution of real-life
problems
4. Course fosters the use of
effective technology in
problem solving.
5. Course fosters quantitative
literacy which is the ability
to reason and solve
quantitative problems
from a wide array of
authentic contexts and
everyday life situations.
explanation consider addressing any of the following: course learning
outcomes, course standards, textbooks typically used, college approved
qualifications for those who are eligible to teach the course, etc.
Outcomes: 1, 2, 4, 5, 8, 9, 10, 11
The student will acquire the skills to manipulate and solve mathematical
computational problems through the understanding of the concepts/properties
of logarithms, exponents, partial fraction decomposition, sequences, series,
conics, the law of sines and cosines, circles, angles, identities, and vectors.
Outcomes: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12
Applications of computational concepts and principles are embedded with
algebraic and trigonometric functions and expressions, exponential and
logarithmic equations, partial fraction decomposition, vectors, graphing by
translation, conics, sequences, and series.
Outcomes: 1, 2, 5, 10, 11, 12
Real-life applications that simulate everyday scenarios are examined following
the introduction of the formulas/identities derived from the properties of
circles, angles, and triangles; vectors; sequence and series.
Outcomes: 2, 3, 6, 9, 11, 12
Graphic calculators and/or apps are incorporated in the problem-solving
processes of various theoretical and application problems throughout the
course to assist with the understanding of the given information and obtaining
and verifying the solution.
Outcomes: 1, 5, 12
The ability to understand and interpret numerical information is introduced,
reinforced, and/or emphasized at various levels, depending on the complexity
of the concept as defined by the learning outcome. The student will solve
equations that require the ability to evaluate the type and degree of the
symbolic expression, and then devise a strategy to find the solution using an
appropriate formula or technique. Furthermore, the course contains plethora of
application problems that aim to develop the student’s ability to interpret
numerical and literal information and convert it to a sufficient condition in the
form of equation(s) and/or inequalities before an attempt to find the solution
can be made.
Mathematics AGEC Form_Approved 033116
Effective 2017-18
042616