Laney Math Dept
Student Learning Outcomes
Math 2 — Precalculus
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 I
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 kernal 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 Math
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 — Math 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 50 — Trigonometry
1. Evaluate the 6 trigonometric functions using a calculator, as well as determining exact
values for some special angles without a calculator.
2. Solve a triangle (right, acute, obtuse), given various angles and sides.
3. Convert between decimal degrees, degree-minute-seconds, and radian measure of an
angle.
4. Demonstrate knowledge of several trigonometric identities and use them to verify other
identities.
5. Graph trigonometric functions.
6. Solve trigonometric equations.
Math 200A
1. Interpret and create graphs
2. Translate and solve word problems into mathematical equations
Math 200B
1. Solve application problems involving quadratic equations
2. Translate and solve application problems involving systems of equations
Math 201:
1. Interpret and create graphs
2. Translate and solve word problems into mathematical equations
3. Solve application problems involving quadratic equations
4. Translate and solve application problems involving systems of equations
Math 202
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
1. Graph and Interpret Linear Equations
2. Perform operations on and evaluate functions
3. Solve applications involving inequalities
4. Solve applications involving rational equations
5. Solve applications involving radical equations
6. Solve applications involving exponential and logarithmic equations
Math 205A
1. Graph and Interpret Linear Equations
2. Perform operations on and evaluate functions
3. Solve applications involving inequalities
Math 205B
1. Solve applications involving rational equations
2. Solve applications involving radical equations
3. Solve applications involving exponential and logarithmic equations
Math 208 Math 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
1. Translate word problems into mathematical equations
Math 210B
1. Interpret and create graphs
Math 210C
1. Solve application problems involving quadratic equations
Math 210D
1. Translate and solve application problems involving systems of equations
Math 211A
1. Graph and Interpret Linear Equations
2. Perform operations on and evaluate functions
Math 211B
1. Solve applications involving inequalities
Math 211C
1. Solve applications involving rational equations
Math 211D
1. Solve applications involving radical equations
2. Solve applications involving exponential and logarithmic equations
Math 220A
1. Perform operations on signed numbers including square roots and exponents in the
correct order.
Math 220B
1. Evaluate algebraic expressions and formulas, including those with parentheses.
2. Solve equations in one variable including equations with variables on both sides and
equations with parentheses.
3. Solve word problems leading to equations in one variable.
Math 220C
1. Solve systems of equations using substitution and elimination.
2. Solve word problems leading to systems of equations.
Math 220D
1. Simplify algebraic expressions involving multiplying and dividing by monomials.
2. Convert between scientific and standard notation and multiply and divide numbers
written in scientific notation.
3. Solve quadratic equations and associated word problems.
Math 220E
1. Label, measure, and draw angles of varying types.
2. Calculate areas and perimeters of various polygons and associated applications.
3. Calculate areas and circumferences of circles and associated applications.
Math 220F
1. Calculate surface areas and volumes of solid figures including prisms, pyramids,
cylinders, spheres, and cones.
Math 220G
1. Measure angles in degrees and radians and convert between the two measures.
2. Calculate linear and angular speed.
3.
4.
5.
6.
Apply the Pythagorean Theorem.
Calculate the missing sides of special right triangles (30,60,90 and 45,45,90).
Solve right triangles and associated word problems.
Apply the Law of Sines and Cosines.
Math 250
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
1. Add, subtract, multiply, and divide whole numbers, fractions, decimals, and signed
numbers.
2. Apply the standard order of mathematical operations correctly
3. Solve problems involving percents and simple real-world applications of percents
4. Solve basic linear equations
5. Apply concepts learned in class to real world problems