MATHEMATICS MODULES INFORMATION

Courses numbered 1000 through 1100 are self-paced 1-credit minicourses, or modules, administered by the Mathematics Module Program under controlled enrollment only. Certain combinations of modules are equivalent to conventional courses in college algebra, college trigonometry, and mathematics for business and social sciences, as indicated below.

At this time, these courses are no longer offered through main campus. If you need to complete a course in a designated sequence, please contact Dr. Shaulis via email at shaulis@colorado.edu. At that time, please indicate which Module you need to complete and during what term you passed the other course(s) in the sequence.

ONE-CREDIT MODULE COURSE DESCRIPTIONS

Click on course number of a list of specific objectives.

• MATH 1000-1. Solving Equations and Inequalities. ^ Includes linear, quadratic, more general polynomial, rational, and radical equalities; linear, polynomial, rational, and absoulte value inequalities; and systems of linear and nonlinear equations. Also includes the Binomial Theorem. Students who elect to follow MATH 1000 with MATH 1010 and MATH 1020 receive the equivalent of a conventional 3-credit course in college algebra, such as MATH 1001 or 1011. Prerequisite: one year of high school algebra.

• MATH 1010-1. Introduction to Functions and Graphing. Includes graphing lines and circles and transformations of known graphs. Covers functional notation, properties of functions, combining functions, and inverse functions and their graphs. Covers the second one-third of a conventional 3-credit course in college algebra. Prerequisite: MATH 1000.

• MATH 1020-1. Polynomial, Rational, Exponential, and Logarithmic Functions. Introduces graphing such functions, solving exponential and logarithmic equations, and exponential modeling. Covers the final one-third of a conventional 3-credit course in college algebra. Prerequisite: MATH 1010.

• MATH 1030-1. Numerical Trigonometry. Angles, trigonometric functions, numerical calculations, law of sines, law of cosines, and graphs of trigonometric functions. Students who elect to follow MATH 1030 with MATH 1040 receive the equivalent of a conventional 2-credit course in college trigonometry. Prerequisite: MATH 1020, or 1 1/2 years of high school algebra and one year of high school geometry.

• MATH 1040-1. Analytical Trigonometry. Inverse trigonometric functions, trigonometric identities, and trigonometric equations. Covers the second half of a conventional 2-credit course in college trigonometry. Prerequisite: MATH 1030.

• MATH 1050-1. Linear Equations and Matrices. Lines and linear equations, matrix methods for solving systems of linear equations, matrix algebra, matrix inversion, and applications. Students who elect to follow MATH 1050 with MATH 1060 and MATH 1070 receive the equivalent of a 3-credit course in finite mathematics for business and social sciences. Prerequisite: MATH 1000 or 1 1/2 years of high school algebra.

• MATH 1060-1. Linear Programming. Linear inequalities, geometric method of linear programming, simplex method of linear programming, and duality principle. MATH 1060 covers the middle one-third of a standard one-semester course in finite mathematics for business and social sciences. However, MATH 1060 by itself forms a self-contained short course in linear programming, suitable for students whose backgrounds and/or placement scores indicate that they are adequately prepared. Prerequisite: MATH 1050 or MATH 1010 or 1 1/2 years of high school algebra.

• MATH 1070-1. Combinatorics and Probability Theory. Sets and counting, permutations, combinations, random experiments, sample spaces, and calculation of probabilities. MATH 1070 provides the final one-third of a standard one-semester course in finite mathematics for business and social sciences. However, MATH 1070 by itself forms a self-contained short course in the theory of probability, which could serve as a foundation for students planning to take courses in statistics. Prerequisite: MATH 1060 or MATH 1000 or 1 1/2 years of high school algebra.

• MATH 1080-1. Functions, Limits, and Derivatives. Functions, graphs, limits and continuity, definition of derivative, derivative formulas, higher order derivatives, and applications. Students who elect to follow MATH 1080 with MATH 1090 and MATH 1100 receive the equivalent of a conventional 3-credit course in calculus for business and social sciences. Prerequisite: MATH 1070 or MATH 1010 or two years of high school algebra.

• MATH 1090-1. Fundamentals of Differential Calculus. Implicit differentiation, relative and absolute extrema, concavity, first and second derivative tests, asymptotes, logarithmic and exponential functions, and applications. MATH 1090 forms the middle one-third of a standard one-semester course in calculus for business and social sciences. Prerequisite: MATH 1080 or one semester of high school calculus.

• MATH 1100-1. Fundamentals of Integral Calculus. The indefinite integral, methods of integration, differential equations, the definite integral, area under a graph, function of several variables, and applications. MATH 1100 forms the final one-third of a standard one-semester course in calculus for business and social sciences. Prerequisite: MATH 1090.

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