MATH1050

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MATH1050 - Coll Alg (4 cr)

MathematicsSC - College of Science

General Learning Outcomes

General Education Program Learning Outcome

Persist in Addressing Complex Problems

Quantitative Literacy (QL) - GE Course-Level Learning Outcomes

Upon successful completion of the General Education Quantitative Literacy requirement, students will be able to:

Communicate: Use correct terminology and proper notation to explain quantitative or mathematical relationships (equations, graphs, diagrams, tables, data) and to support an argument, assertion, or purpose using quantitative or mathematical evidence;
Mathematization: Convert quantitative or mathematical information into appropriate mathematical representations and/or models such as equations, graphs, diagrams, or tables, including making and evaluating important assumptions as needed;
Calculation: Use algebraic skills and techniques to solve problems, including the ability to identify and correct errors in calculations and understanding the role and proper use of technology in assisting with calculations;
Analysis: Draw appropriate conclusions through quantitative or mathematical analysis of data or models, including understanding and evaluating important assumptions in order to recognize the limits of the analysis; and
Application / Creation: Solve concrete and abstract problems across multiple disciplines.

Learning Outcomes

Sketch the graphs of quadratic and cubic polynomials, rational, radical, exponential, logarithmic, and piecewise functions with or without transformations. Be able to identify important points such as x- and y-intercepts, maximum or minimum values; domain and range; and any symmetry.

Given the graph of a function, be able to identify the domain, range, any asymptotes and/or symmetry, x- and y-intercepts, as well as find a rule for the function if it is obtained from a standard function through transformations.

Perform composition of functions and operations on functions

Find the inverse of a function algebraically and graphically.

For polynomial, rational exponential and logarithmic functions, identify the x-intercepts, asymptotes, end behavior and domain from algebraic and graphic representations. Convert back and forth between algebraic, graphical and verbal representations.

Solve polynomial, rational, exponential, and logarithmic equations and inequalities.

Represent and interpret physical world situations using exponential and logarithmic functions.

Define i as the square root of -1 and know the complex arithmetic necessary for solving quadratic equations with complex roots.

Perform matrix arithmetic computations.

Solve systems of linear and non-linear equations in two or three variables, including the use of Gaussian elimination and matrix inverses in the linear case.

Understand sequences and be able to differentiate between geometric, arithmetic and others such as Fibonacci-type sequences, giving direct formulas where available or a numeric representation.

Understand series notation and know how to compute sums of finite arithmetic and finite and infinite geometric series.