# Student Learning Outcomes

•
Mathematics - 50 - 51 - 51A - 51B - 61 - 71 - 71A - 71B - 71X - 96

- 100 - 110 - 110H - 120 - 130 - 140 - 150 - 160 - 180 - 181 - 210 - 280 - 285 •

• Computer Science - 110 - 140 - 145 - 150 - 170 - 190 - 210 - 220 - 230 •

## Mathematics

### MATH 50

- Math 50 students will be able to simplify expressions.
- Math 50 students will be able to solve a linear equation.
- When performing a problem, Math 50 students will present a logical, step-by-step argument,
- leading to a correct conclusion.

### MATH 51

- Math 51 students will be able to solve a linear equation.
- Students will be able to solve a wide variety of equations without being given the type of equation.
- Students will be able to factor a wide variety of polynomials.

### MATH 51A

- Students will be able to solve a wide variety of equations without being given the type of equation.
- Students will be able to factor a wide variety of polynomials.
- Math 51 students will be able to solve a linear equation.

### MATH 51B

- Students will be able to solve a wide variety of equations without being given the type of equation.
- Students will be able to factor a wide variety of polynomials.

### MATH 61

- Given a statement, students will be able to make a drawing and write the hypothesis and conclusion using math notation pertinent to the drawing.
- Students can write a formal geometric proof.

### MATH 71

- Students will be able to solve a wide variety of equations without being told what type of equation they are solving.
- Students will be able to graph a wide variety of functions and conic sections.

### MATH 71A

- Students will be able to solve a wide variety of equations without being given the type of equation.
- Students will be able to factor a wide variety of polynomials.
- Students will be able to solve a wide variety of equations without being told what type of equation they are solving.

### MATH 71B

- Students will be able to solve a wide variety of equations without being told what type of equation they are solving.
- Students will be able to graph a wide variety of functions and conic sections.

### MATH 71X

- Students are able to set up and solve applied problems of proportionality.
- Students are able to apply dimensional analysis to unit conversions.
- Students are able to isolate variables in algebraic and logarithmic equations.
- Students are able to apply least squares methods to model relationships between variables in real-world applications.

### MATH 96

- Students will be able to construct a mathematics mind map.
- Students will be able to create a meta-cognitive tool to facilitate distributed practices of mathematical procedures.
- Students will be able to create a personalized study plan emphasizing their natural intelligence strengths.

### MATH 100

- A Math 100 student will be able to use a Venn diagram to count and find probability.
- Math 100 students should be able to determine the validity of an argument.

### MATH 110

- Students will be able to determine descriptive statistics from a sample.
- Students will be able to use sample statistics to develop a confidence interval for population parameters.
- Using sample statistics from one or more samples, students will be able to test a claim made about a population parameter.
- Using bivariate data, students will be able to determine whether a significant linear correlation exists between two variables and determine the equation of the regression line.

### MATH 110H

- Students will be able to determine descriptive statistics from a sample.
- Students will be able to use sample statistics to develop a confidence interval for population parameters.
- Using sample statistics from one or more samples, students will be able to test a claim made about a population parameter.
- Using bivariate data, students will be able to determine whether a significant linear correlation exists between two variables and determine the equation of the regression line.

### MATH 120

- Students will be able to solve a linear programming problem using the geometric approach.
- Students will be able to solve a binomial probability distribution problem.

### MATH 130

- Students will be able to simplify an expression that is either polynomial, rational, radical, exponential or logarithmic.
- Students will be able to solve an equations that is either polynomial, rational, radical, exponential, logarithmic, or literal.
- Students will be able to graph a function (or relation) that is either polynomial, rational, exponential or logarithmic.

### MATH 140

- Students will understand the use of the derivative and be able to accurately differentiate a given function as suggested by the notation and/or the wording of the problem.
- Students will understand the use of the integral and will be able to accurately integrate a given function as suggested by the notation and/or the wording of the problem.

### MATH 150

- Without the use of a calculator, students will be able to graph the six trigonometric functions in a precise manner, stating the period, amplitude, phase shift, and translation as appropriate.
- The student will be able to accurately solve trigonometric equations over a given interval, including equations that use multiple angles, identities, and quadratic forms.

### MATH 160

- Students will be able to analyze a variety of functions.
- Students will be able to solve different types of trigonometric equations.

### MATH 180

- Students can differentiate algebraic and transcendental functions.
- Students can solve optimization problems.
- Students can compute instantaneous rates of change in applications.
- Students can evaluate integrals of elementary functions using the method of substitution.

### MATH 181

- Students can integrate algebraic and transcendental function using a variety of techniques.
- Students can apply the definite integral to applications.
- Students can determine convergence of infinite series of various forms using various techniques.
- Students can describe objects algebraically and geometrically in various 2- or 3-dimensional coordinate systems.

### MATH 210

- A Math 210 student will be able to use a Venn diagram to count and find probability.
- Math 210 students should be able to determine the validity of an argument.

### MATH 280

- Students can analytically describe the physical states of objects with mass traveling in three dimensions.
- Students can compute partial and directional derivatives for functions of several variables.
- Students can apply partial derivatives to optimization problems.
- Students can evaluate multiple integrals to compute volumes, surface areas, moments and centers of mass, flux, and work.

### MATH 285

- Students can solve non-homogeneous linear differential equations of any order using a variety of methods.
- Students can formulate and solve differential equations which model real-world phenomena.
- Students can prove and apply facts regarding vector spaces, subspaces, linear independence, bases, and orthogonality.
- Students can diagonalize square matrices and apply these results to the solutions of linear systems of differential equations.
- Students can solve linear differential equations using power series.