Associate of Science in Mathematics
PROGRAM MISSION
Mission- To prepare students for successful careers in the field of computer and information technology
Diné College’s Associates Degree in Mathematics is designed to provide students with the opportunity to acquire skills and knowledge that include the ability to apply mathematical principles competently, think critically and creatively, understand abstract concepts, and use technology to ensure the well-being of the Diné People. The purpose of Associates Degree in Mathematics curriculum is to enable students to pursue their academic and professional aspirations with experiences that consider state of the art mathematical views. They will be prepared to pursue employment or further studies in fields such as mathematics, physics, chemistry, biology, or engineering at a four-year institution.
PROGRAM GOALS
Program Goal-Students are to master computer programming by Web Design/Applications, Hardware, and Computer Network.
1. Problem solving and critical reasoning.
2. Appreciation for mathematics and its applications to real world problems.
3. Communicate mathematical ideas with confidence
PROGRAM STUDENT LEARNING OBJECTIVES
PSLO 1 – Differentiation
PSLO 2 – Simple Integration
PSLO 3 – Multiple Integrals
Graph Functions: Students will graph functions
a.Sketch the graphs of linear, higher-order polynomial, rational, absolute value, exponential, logarithmic, and radical functions.
b.Sketch a graph using point plotting and analysis techniques, including basic transformations of functions such as horizontal and vertical shifts, reflections, stretches, and compressions.
c.Determine the vertex, axis of symmetry, maximum or minimum, and intercepts of a quadratic equation.
Solve Various Kinds of Equations: Students will solve various kinds of equations.
a.Solve quadratic equations using factoring, completing the squares, the square root method, and quadratic formula.
b.Solve exponential and logarithmic equations.
c.Solve differential equations
d.Solve systems of two or three linear equations
Perform Operations on Functions: Students will demonstrate the use of function notation and perform operations on functions.
a.Find the value of a function for a given domain value
b.Add, subtract, multiply, divide and compose functions.
c.Determine the inverse of a function.
d.Compute the difference quotient for a function.
e.Correctly use function notation and vocabulary related to functions, i.e. domain, range, independent variable, of, even symmetry, etc.
Display, Analyze, and Interpret Data: Students will display, analyze, and interpret data.
Demonstrate Knowledge of Problem-Solving Strategies: Students will demonstrate knowledge of problem-solving strategies.
Construct Valid Mathematical Explanations: Students will construct valid mathematical explanations.
Display an Understanding of the Development of Mathematics: Students will display an understanding of the development of mathematics.
Demonstrate Appreciation for the Beauty of Mathematics: Students will demonstrate an appreciation for the extent, application, and beauty of mathematics.
Apply Calculus to Real World Problems: Students will apply calculus concepts and methods to real world problems. Methods covered will include limits and continuity, differentiation and integration in one and several variables, parametric equations, polar equations, sequences, series, vectors.
2025 – 2026 Checklist
Associate of Science Degree
Mathematics (65–66 credits)
| General Education Requirements | Credits | Program Requirements | Credits |
|---|---|---|---|
| Communications ENG 101 College Composition I ENG 102 College Composition II | 6 | Required MTH 190 Precalculus MTH 191 Calculus I MTH 192 Calculus II MTH 220 Calculus III | 16 |
| Humanities / Fine Arts Choose two courses with different prefixes from: ARH 110; ARH 211; CW 208; ENG 231; ENG 233; FA 106; FA 115; FA 178; HUM 152; LIB 110 Course 1: __________ (3.0) Course 2: __________ (3.0) | 6 | Choice of two
Elective Total: 6–7 hrs | 6–7 |
| Mathematics MTH 110 College Algebra (or another MTH course by placement) | 4 | CSC 150 Programming Fundamentals | 4 |
| Navajo Studies NAV 101/102/201/202/211 (3.0–4.0) NIS 111 Foundation of Navajo Culture (3.0) NIS 221 Navajo History to Present (3.0) | 9–10 | Program Credits Total | 26–27 |
| Laboratory Science BIO 181 General Biology I (4.0) CHM 130 or CHM 151 (4.0–5.0) | 8–9 | Social & Behavioral Sciences HST (101/102/135/136) (3.0) One additional approved course (3.0) | 6 |
| Gen Ed Credits Total | 39–40 | Advisor Signature: ____________________________ | — |
IMPORTANT: To fulfill the General Education Science Core, students are required to take BIO 181 and CHM 130 or CHM 151 courses.
Note: Must pass all courses with a grade of “C” or higher.
DEAN'S OFFICE
Acting Dean, School of STEM
Tuba City Campus
Phone: (928) 283-5113 ext. 07520
Research Labs: 7538, 7539
Email: stabassum@dinecollege.edu
Administrative Assistant
Tsaile Campus
Phone: 928-724-6731
Email: syazzie@dinecollege.edu