### Student Learning Outcomes

Student learning outcomes (SLOs) are statements that specify what students will know, be able to do, or be able to demonstrate when they have completed or participated in a program/activity/course/project. Outcomes are usually expressed as knowledge, skills, attitudes or values.

According to the ACCJC SLOs are the knowledge, skills, abilities and attitudes that a student has attained at the end (or as a result) or his/her engagement in a particular set of collegiate experiences
(Source: WCC SLO Workshop – Howerton)

Math/Stats Departmental SLOs

Computation (CMT): apply appropriate mathematical and statistical concepts, models, and methods to understand, analyze and communicate results when dealing with issues involving quantitative information.
Critical Thinking (CRT): analyze data and numerical information to evaluate, interpret, and draw objective conclusions when facing quantitative problems.

MATH 1A–First Year Calculus

1. Calculate derivatives of algebraic and trigonometric functions using various techniques, including product, quotient, and chain rules. (CMT)
2. Demonstrate applications of derivatives and integrals by graphing functions using first and second order derivatives and applying integration to calculating areas and volumes. (CMT/CRT)
1. Demonstrate an understanding of the concept of limits by composing simple proofs and calculating trigonometric and algebraic limits as well as limits at infinity. (CMT/CRT)

MATH 1B–First Year Calculus

1. Demonstrate the ability to use appropriate techniques of integration to evaluate definite and indefinite integrals of algebraic and trigonometric functions.(CRT)
2. Evaluate the limits of indeterminate forms.(CMT)
3. Demonstrate the ability to determine the convergence and divergence of sequences and series.(CRT)
4. Calculate derivatives as well as definite and indefinite integrals of transcendental functions.(CMT)
5. Demonstrate the knowledge to calculate derivates and integral of inverse trigonometric functions and hyperbolic functions. (CMT)

MATH 2A–Second Year Calculus

1. Find partial derivatives, the gradient, and extrema of vector functions.(CMT/CRT)
2. Evaluate double and triple integrals and integrals of vector functions as well as integrals in rectangular, polar, cylindrical, and spherical coordinates.(CMT/CRT)
3. Graph equations in polar coordinates and conic sections.(CMT/CRT)
4. Apply Green’s Theorem, Stoke’s Theorem, and the Divergence Theorem. (CMT/CRT)

MATH 2B–Differential Equations

1. Solve first, second, and nth order differential equations using the appropriate method.(CMT/CRT)
2. Obtain series solutions to ordinary differential equations. (CMT/CRT)
3. Formulate differential equations to solve various applied problems. (CMT/CRT)
4. Solve systems of differential equations. (CMT/CRT)
5. Find Laplace transforms and apply these to solve differential equations. (CMT/CRT)

MATH 3–Linear Algebra

1. Demonstrate the ability to compute the general solution of at most a 4×4 linear system. (CMT/CRT)
2. Perform matrix and vector operations; compute determinants and inverses of matrices. (CMT/CRT)
3. Define and apply concepts of eigenvalues and eigenvectors. (CMT/CRT)

MATH 7–Pre-Calculus

1. Perform fundamental operations on functions including adding, subtracting, multiplying and dividing as well as evaluating functions at a specific value. (CMT)
2. Perform calculations on rational functions.(CMT/CRT)
3. Solve exponential and logarithmic equations and systems of equations. (CMT/CRT)
4. Graph polynomial and trigonometric functions as well as conic sections.(CMT/CRT)
5. Graph using polar coordinates.(CMT/CRT)

MATH 9–Calculus for Business, Social and Life Science

1. Calculate derivatives of algebraic functions using various techniques, including product, quotient, and chain rules. (CMT)
2. Demonstrate applications of derivatives by graphing functions using first and second order derivatives and solving maximum/minimum problems. (CMT/CRT)
3. Demonstrate applications of integrals by applying integration to calculating areas. (CMT/CRT)

MATH 21–Plane Trigonometry

1. Demonstrate the knowledge to define and graph the six trigonometric functions.(CMT)
2. Demonstrate the knowledge to solve trigonometric equations.(CMT)
3. Demonstrate the ability to apply fundamental trigonometric identities to prove other trigonometric identities.(CRT)
4. Demonstrate the knowledge to apply the laws of Sine and Cosine. (CRT)

Math 50- Elementary Algebra

1. Apply algebraic concepts to solve linear equations, quadratic equations inequalities and system of equation. (CMT)
2. Perform the operations of addition, subtraction, multiplication, division on polynomial expressions and apply the properties of integer exponents to simplify expressions. (CMT)
3. Apply appropriate technique to factor polynomial expressions. (CMT)
4. Graph linear equations and system of equations; determine the equation of a line; determine and interpret the slope and intercept(s) of a line. (CMT)
5. Solve applications involving number relations, perimeter, area, mixtures, investments, uniform motion, and other concepts. (CMT/CRT)

MATH 50 A–Elementary Algebra First Half

1. Apply algebraic concepts to simplify linear expressions and solve linear equations and inequalities.(CMT)
2. Solve systems of linear equations using graphing. (CMT)
3. Graph linear equations; determine the equation of a line; determine and interpret the slope and intercept(s) of a line. (CMT)
4. Solve applications involving number relations, perimeter, area, mixtures, investments, uniform motion, and other concepts. (CMT/CRT)

MATH 50 B–Elementary Algebra Second Half

1. Apply algebraic concepts to solve quadratic equations and inequalities. (CMT)
2. Perform the operations of addition, subtraction, multiplication, division on polynomial expressions and apply appropriate technique to factor polynomial expressions. (CMT)
3. Apply the properties of integer exponents to simplify expressions. (CMT)
4. Solve systems of linear equations using substitution or elimination.(CMT)
5. Solve applications involving number relations, perimeter, area, mixtures, investments, uniform motion, and other concepts. (CMT/CRT)

MATH 52–Intermediate Algebra

1. Identify, manipulate algebraically, translate applications involving, and solve equations containing rational expressions. (CMT/CRT)
2. Identify, manipulate algebraically, translate applications involving, and solve equations containing radical expressions. (CMT/CRT)
3. Identify, manipulate algebraically, translate applications involving, and solve equations containing exponential and logarithmic equations. (CMT/CRT)
4. Identify, translate applications involving, and solve quadratic equations. (CMT/CRT)
5. Solve systems of linear and nonlinear equations. (CMT)

MATH 52A–Intermediate Algebra First Half

1. Identify, manipulate algebraically, translate applications involving, and solve equations containing rational expressions. (CMT/CRT)
2. Identify, manipulate algebraically, translate applications involving, and solve equations containing radical expressions. (CMT/CRT)

MATH 52B–Intermediate Algebra Second Half

1. Identify, manipulate algebraically, translate applications involving, and solve equations containing exponential and logarithmic equations. (CMT/CRT)
2. Identify, translate applications involving, and solve quadratic equations. (CMT/CRT)
3. Solve systems of linear and nonlinear equations. (CMT)

MATH 110–Arithmetic for College Students

1. Add, subtract, multiply, divide, and exponentiate whole numbers. (CMT)
2. Add, subtract, multiply, divide, and exponentiate fractions and mixed numbers. (CMT)
3. Add, subtract, multiply, divide, and exponentiate decimals. (CMT)
4. Solve percent, ratio, proportion, and application problems. (CMT/CRT)
5. Demonstrate a fundamental understanding of prime factorization, rounding, and estimating sums, difference, products, and quotients. (CMT)

MATH 111–Pre-algebra

1. Add, subtract, multiply, divide, and exponentiate integers. (CMT)
2. Add, subtract, multiply, divide, and exponentiate fractions and mixed numbers.(CMT)
3. Add, subtract, multiply, divide, and exponentiate decimals.(CMT)
4. Solve percent, ratio, proportion, and application problems. (CMT/CRT)
5. Solve linear equations in one variable with rational coefficients as well as add and multiply polynomials with rational coefficients. (CMT/CRT)

STAT 1–Introduction to Statistical Methods

1. Choose, calculate, and interpret appropriate statistics for describing central tendency and spread of data set (with and without statistical software). (CMT/CRT)
2. Perform and interpret regression analysis and correlation analysis using statistical software. (CMT/CRT)
3. Find probabilities for applications involving binomial random variables and normal random variables (with and without statistical software). (CMT/CRT)
4. Perform and interpret estimation and hypothesis testing procedures to applications involving means and to applications involving proportions (with and without statistical software). (CMT/CRT)