The following is a list of all of our SLOs for our Math Department PRE FALL 2016, for every course that we offer:

Laney Math Dept

**Student Learning Outcomes (OLD)**

# Math 1 — Precalculus

- Evaluate functions at numerical values and simplify algebraic expressions with functions evaluated at symbolic values.
- Express graphically the behavior of rational functions near asymptotes and at infinity using the concept of the limit.
- Analyze and simplify compositions of functions.

# Math 2 — Precalculus with Analytic Geometry

- Evaluate functions at numerical values and at abstract values.
- Express graphically the behavior of rational functions near asymptotes and at infinity using the concept of the limit.
- Analyze and simplify compositions of functions.
- Apply concepts of analytic geometry to help solve application problems.

## Math 3A — Calculus 1

- Compute derivatives of many functions and antiderivatives of simple functions.
- Construct and solve mathematical models using the derivative.
- Solve quantitative problems using numerical, graphical, and algebraic methods.

## Math 3B — Calculus II

- Compute the antiderivatives of many different types of functions.
- Construct and solve mathematical models using the integral.
- Solve problems using parametric and polar representations of functions.
- Represent functions as power series and test these series for convergence.

### Math 3C — Calculus III

- Graph multivariable and vector valued functions.
- Compute derivatives and integrals of multivariable functions.
- Construct and interpret models of circulation and force using vector valued functions.
- Evaluate integrals using Green’s Theorem, Stokes’ Theorem and Gauss’ Theorem.

**Math 3E —Linear Algebra**

- Solve a system of equations using a variation of Gaussian Elimination and other methods, including the use of matrices.
- Apply systems of equations to application problems such as curve fitting, electrical circuits, economic models, and communication technology.
- Construct a basis for a vector space, such as the kernel for a given transformation or the image of a given matrix.
- Interpret a solution set, or span of vectors, as a geometric entity.

## Math 3F — Differential Equations

- Model various real-world phenomena using first order, second order and systems of differential equations (both ordinary and partial).
- Solve algebraically first order, second order and systems of differential equations (both ordinary and partial) using a variety of different techniques.
- Approximate solutions to first order ordinary differential equations numerically and evaluate the accuracy of these approximations.

**Math 11 — Discrete Mathematics**

- Design algorithms and compute their efficiency.
- Prove mathematical statements inductively and define mathematical concepts recursively.
- Apply combinatorial, probabilistic and statistical reasoning to solve mathematical problems.
- Solve problems in various fields using trees and graphs.

**Math 13 — Introduction to Statistics**

- Describe numerical and categorical data using statistical terminology and notation.
- Analyze and explain relationships between variables in a sample or a population.
- Make inferences about populations based on data obtained from samples.
- Given a particular statistical or probabilistic context, determine whether or not a particular analytical methodology is appropriate and explain why.

**Math 15 — Mathematics for Liberal Arts**

- Analyze an argument for validity using simple rules of logic, and if invalid identify the type of mistake made.
- Compute, with sophisticated formulas, such quantities as interest payments for amortized loans.
- Interpret patterns and draw inferences from them.
- Identify the geometry that results from the three interpretations of the parallel postulate.

**Math 16A ****— Calculus for Business and Life/Social Sciences**

- Compute derivatives of many functions and antiderivatives of simple functions.
- Construct and solve mathematical models related to business using the derivative.
- Solve quantitative business problems using numerical, graphical, and algebraic methods.

**Math 16B ****— Calculus for Business and Life/Social Sciences**

- Compute antiderivatives of many types of functions, and evaluate the associated definite integrals.
- Solve applications using first-order differential equation models.
- Find partial derivatives of functions of several variables.

# Math 50 — Trigonometry

- Graph trigonometric functions.
- Evaluate the 6 trigonometric functions using a calculator, as well as determining exact values for some special angles without a calculator.
- Solve a triangle (right, acute, obtuse), given various angles and sides.
- Convert between decimal degrees, degree-minute-seconds, and radian measure of an angle.
- Demonstrate knowledge of several trigonometric identities and use them to verify other identities.
- Solve trigonometric equations.

**Math 201 — Elementary Algebra**

- Interpret and create graphs
- Translate word problems into mathematical equations
- Solve application problems involving quadratic equations
- Translate and solve application problems involving rational equations

## Math 202 — Geometry

- Attain mastery of parallel lines and their properties.
- Identify and solve special and similar triangles.
- Understand and know the properties of circles and special polygons.

**Math 203 — Intermediate Algebra**

- Translate and solve application problems involving systems of equations
- Perform operations on and evaluate functions
- Solve applications involving inequalities
- Solve applications involving radical equations
- Solve applications involving quadratic equations and the quadratic formula
- Solve applications involving exponential and logarithmic equations

### Math 208 — Mathematics for Laboratory Sciences

- Interpret scientific notation
- Solve formulas for various variables
- Prepare data to be analyzed using a spreadsheet program
- Estimate dosages, concentrations and dilutions
- Identify linear and exponential data

**Math 210A — Elementary Algebra, Self-Paced, Part 1**

- Translate word problems into mathematical equations

**Math 210B — Elementary Algebra, Self-Paced, Part 2**

- Interpret and create graphs

**Math 210C — Elementary Algebra, Self-Paced, Part 3**

- Solve application problems involving quadratic equations

**Math 210D — Elementary Algebra, Self-Paced, Part 4**

- Translate and solve application problems involving rational equations

** **

**Math 211A — Intermediate Algebra, Self-Paced, Part 1**

- Perform operations on and evaluate functions
- Translate and solve application problems involving systems of equations

**Math 211B — Intermediate Algebra, Self-Paced, Part 2**

- Solve applications involving inequalities
- Solve applications involving radical equations

**Math 211C — Intermediate Algebra, Self-Paced, Part 3**

- Solve applications involving quadratic equations and the quadratic formula

**Math 211D — Intermediate Algebra, Self-Paced, Part 4**

- Solve applications involving exponential and logarithmic equations

**Math 221 — Technical Mathematics (Lecture)**

- Solve application problems involving systems of equations.
- Solve application problems involving quadratic equations
- Calculate areas, perimeters and volumes of various geometric figures
- Solve triangles (right and non-right) and associated word problems.

**Math 220A — Technical Mathematics with Algebra**

- Perform operations on signed numbers including square roots and exponents in the correct order.

**Math 220B — Technical Mathematics with Algebra**

- Solve word problems leading to equations in one variable.

**Math 220C — Technical Mathematics with Algebra**

- Solve word problems leading to systems of equations.

**Math 220D — Technical Mathematics with Algebra**

- Convert between scientific and standard notation and multiply and divide numbers written in scientific notation.
- Solve word problems involving quadratic equations

**Math 220E — Technical Mathematics with Geometry**

- Calculate areas and perimeters of various polygons and circles and associated applications.

**Math 220F — Technical Mathematics with Geometry**

- Calculate surface areas and volumes of solid figures including prisms, pyramids, cylinders, spheres, and cones.

**Math 220G — Technical Mathematics with Trigonometry**

- Measure angles in degrees and radians and convert between the two measures.
- Solve triangles (right and non-right) and associated word problems.

## Math 250 — Arithmetic

- Perform basic arithmetic operations.
- Determine and interpret percents.
- Convert units of measurement using proportions.
- Solve introductory linear equations.
- Solve application problems using formulas.

## Math 253 —Prealgebra

- Basic Arithmetic Operations: Add, subtract, multiply, and divide whole numbers, fractions, decimals, and signed numbers
- Order of Operations: Apply the standard order of mathematical operations correctly
- Percents and Percent Applications: Solve problems involving percents and simple real-world applications of percents
- Linear Equations: Solve basic linear equations and applications associated with them