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DDepartment of Mathematics and Statistics
Learning Outcomes
The department of Mathematics and Statistics has designed the courses in the core sequence (math 121181, and stat145) to provide coherent and effective instruction for students in other majors or programs. Our purpose is to prepare students to effectively use quantitative and symbolic reasoning and analysis in their personal and professional lives.
The following student learning outcomes (SLOs) describe what a student should be able to DO at the end of their math course. These learning outcomes provide a focus and a standard for the classroom for both the instructor and the student.
List of Student Learning Outcomes (SLO) for Math 123
Course Goal #1: Communication
Addresses UNM Core Area 2/HED Area II: Mathematics (Algebra Competencies)
SLO 1: Use correct mathematical notation and terminology.
SLO 2: Read and interpret graphs.
Course Goal #2: Trigonometry of Real Numbers
Addresses UNM Core Area 2/HED Area II: Mathematics (Algebra Competencies)
SLO 1: Students will be able to use the unit circle to define the six trigonometric functions.
SLO 2: Students will be able to graph the sine, cosine, and tangent functions.
SLO 3: Students will be able to fit a sine or cosine function to a given graph.
Course Goal #3: Trigonometry of Angles
Addresses UNM Core Area 2/HED Area II: Mathematics (Algebra Competencies)
SLO 1: Students will be able to work with radians and to solve circular motion problems.
SLO 2: Students will be able to solve right triangles. They will be able to draw a sketch in an applied problem when necessary.
SLO 3: Students will be able to solve nonright triangles using the law of sines and the law of cosines.
Course goal #4: Analytic Trigonometry
Addresses UNM Core Area 2/HED Area II: Mathematics (Algebra Competencies)
SLO 1: Students will be able to prove trigonometric identities.
SLO 2: Students will be able to apply addition and subtraction, doubleangle and halfangle formulas.
SLO 3: Students will be able to graph the inverse sine, cosine, and tangent functions.
SLO 4: Students will be able to solve problems that require the inverse trigonometric functions.
SLO 5: Students will be able to solve trigonometric equations. These may require the formulas outlined in SLO 2.
SLO 6: Students will be able to work with the trigonometric form of complex numbers. This includes DeMoivres formula.
SLO 7: Students will be able to work with the Euler form EMBED Equation.3 of complex numbers.
SLO 8: Students will be able to add and subtract vectors in two dimensions. They will be able to use the dot product to project one vector onto another and to determine the angle between two vectors. They will be able to solve a variety of word problems using vectors
Course goal #5: Analytic Geometry
Addresses UNM Core Area 2/HED Area II: Mathematics (Algebra Competencies)
SLO 1: Students will be able to work with polar coordinates; this includes graphing in polar coordinates and transforming an equation with polar coordinates into one with rectangular coordinates, and vice versa.
SLO 2: Students will be able to graph parametric equations in two dimensions that involve trigonometric functions.
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