Laney Math Dept
Student Learning Outcomes
(Updated September 10, 2013)
Math 1 — Precalculus
1. Evaluate functions at numerical values and simplify algebraic expressions with
functions evaluated at symbolic values.
2. Express graphically the behavior of rational functions near asymptotes and at
infinity using the concept of the limit.
3. Analyze and simplify compositions of functions.
4. Apply concepts of analytic geometry to help solve application problems.
Math 2 — Precalculus with Analytic Geometry
1. Evaluate functions at numerical values and at abstract values.
2. Express graphically the behavior of rational functions near asymptotes and at
infinity using the concept of the limit.
3. Analyze and simplify compositions of functions.
4. Apply concepts of analytic geometry to help solve application problems.
Math 3A — Calculus 1
1. Compute derivatives of many functions and antiderivatives of simple functions.
2. Construct and solve mathematical models using the derivative.
3. Solve quantitative problems using numerical, graphical, and algebraic methods.
Math 3B — Calculus II
1. Compute the antiderivatives of many different types of functions.
2. Construct and solve mathematical models using the integral.
3. Solve problems using parametric and polar representations of functions.
4. Represent functions as power series and test these series for convergence.
Math 3C — Calculus III
1. Graph multivariable and vector valued functions.
2. Compute derivatives and integrals of multivariable functions.
3. Construct and interpret models of circulation and force using vector valued
functions.
4. Evaluate integrals using Green’s Theorem, Stokes’ Theorem and Gauss’
Theorem.
Math 3E —Linear Algebra
1. Solve a system of equations using a variation of Gaussian Elimination and other
methods, including the use of matrices.
2. Apply systems of equations to application problems such as curve fitting,
electrical circuits, economic models, and communication technology.
3. Construct a basis for a vector space, such as the kernel for a given transformation
or the image of a given matrix.
4. Interpret a solution set, or span of vectors, as a geometric entity.
Math 3F — Differential Equations
1. Model various real-world phenomena using first order, second order and systems
of differential equations (both ordinary and partial).
2. Solve algebraically first order, second order and systems of differential equations
(both ordinary and partial) using a variety of different techniques.
3. Approximate solutions to first order ordinary differential equations numerically
and evaluate the accuracy of these approximations.
Math 11 — Discrete Mathematics
1. Design algorithms and compute their efficiency.
2. Prove mathematical statements inductively and define mathematical concepts
recursively.
3. Apply combinatorial, probabilistic and statistical reasoning to solve mathematical
problems.
4. Solve problems in various fields using trees and graphs.
Math 13 — Introduction to Statistics
1. Describe numerical and categorical data using statistical terminology and
notation.
2. Analyze and explain relationships between variables in a sample or a population.
3. Make inferences about populations based on data obtained from samples.
4. 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
1. Analyze an argument for validity using simple rules of logic, and if invalid
identify the type of mistake made.
2. Compute, with sophisticated formulas, such quantities as interest payments for
amortized loans.
3. Interpret patterns and draw inferences from them.
4. Identify the geometry that results from the three interpretations of the parallel
postulate.
Math 16A — Calculus for Business and Life/Social Sciences
1. Compute derivatives of many functions and antiderivatives of simple functions.
2. Construct and solve mathematical models related to business using the derivative.
3. Solve quantitative business problems using numerical, graphical, and algebraic
methods.
Math 50 — Trigonometry
1. Graph trigonometric functions.
2. Evaluate the 6 trigonometric functions using a calculator, as well as determining
exact values for some special angles without a calculator.
3. Solve a triangle (right, acute, obtuse), given various angles and sides.
4. Convert between decimal degrees, degree-minute-seconds, and radian measure of
an angle.
5. Demonstrate knowledge of several trigonometric identities and use them to verify
other identities.
6. Solve trigonometric equations.
Math 201 — Elementary Algebra
1. Interpret and create graphs
2. Translate word problems into mathematical equations
3. Solve application problems involving quadratic equations
4. Translate and solve application problems involving rational equations
Math 202 — Geometry
1. Attain mastery of parallel lines and their properties.
2. Identify and solve special and similar triangles.
3. Understand and know the properties of circles and special polygons.
Math 203 — Intermediate Algebra
1. Translate and solve application problems involving systems of equations
2. Perform operations on and evaluate functions
3. Solve applications involving inequalities
4. Solve applications involving radical equations
5. Solve applications involving quadratic equations and the quadratic formula
6. Solve applications involving exponential and logarithmic equations
Math 208 — Mathematics for Laboratory Sciences
1. Interpret scientific notation
2. Solve formulas for various variables
3. Prepare data to be analyzed using a spreadsheet program
4. Estimate dosages, concentrations and dilutions
5. Identify linear and exponential data
Math 210A — Elementary Algebra, Self-Paced, Part 1
1. Translate word problems into mathematical equations
Math 210B — Elementary Algebra, Self-Paced, Part 2
1. Interpret and create graphs
Math 210C — Elementary Algebra, Self-Paced, Part 3
1. Solve application problems involving quadratic equations
Math 210D — Elementary Algebra, Self-Paced, Part 4
1. Translate and solve application problems involving rational equations
Math 211A — Intermediate Algebra, Self-Paced, Part 1
1. Perform operations on and evaluate functions
2. Translate and solve application problems involving systems of equations
Math 211B — Intermediate Algebra, Self-Paced, Part 2
1. Solve applications involving inequalities
2. Solve applications involving radical equations
Math 211C — Intermediate Algebra, Self-Paced, Part 3
1. Solve applications involving quadratic equations and the quadratic formula
Math 211D — Intermediate Algebra, Self-Paced, Part 4
1. Solve applications involving exponential and logarithmic equations
Math 221 — Technical Mathematics (Lecture)
1. Solve application problems involving systems of equations.
2. Solve application problems involving quadratic equations
3. Calculate areas, perimeters and volumes of various geometric figures
4. Solve triangles (right and non-right) and associated word problems.
Math 220A — Technical Mathematics with Algebra
1. Perform operations on signed numbers including square roots and exponents in
the correct order.
Math 220B — Technical Mathematics with Algebra
1. Solve word problems leading to equations in one variable.
Math 220C — Technical Mathematics with Algebra
1. Solve word problems leading to systems of equations.
Math 220D — Technical Mathematics with Algebra
1. Convert between scientific and standard notation and multiply and divide
numbers written in scientific notation.
2. Solve word problems involving quadratic equations
Math 220E — Technical Mathematics with Geometry
1. Calculate areas and perimeters of various polygons and circles and associated
applications.
Math 220F — Technical Mathematics with Geometry
1. Calculate surface areas and volumes of solid figures including prisms, pyramids,
cylinders, spheres, and cones.
Math 220G — Technical Mathematics with Trigonometry
1. Measure angles in degrees and radians and convert between the two measures.
2. Solve triangles (right and non-right) and associated word problems.
Math 250 — Arithmetic
1. Perform basic arithmetic operations.
2. Determine and interpret percents.
3. Convert units of measurement using proportions.
4. Solve introductory linear equations.
5. Solve application problems using formulas.
Math 253 —Prealgebra
1. Basic Arithmetic Operations: Add, subtract, multiply, and divide whole numbers,
fractions, decimals, and signed numbers
2. Order of Operations: Apply the standard order of mathematical operations
correctly
3. Percents and Percent Applications: Solve problems involving percents and simple
real-world applications of percents
4. Linear Equations: Solve basic linear equations and applications associated with
them