MATH 1118 - College Algebra I
4 Credits
Prepares students for Calculus I (MATH 1133 ) when taken in sequence with MATH 1119 or for Survey of Calculus (MATH 1120 ). Topics include the study of algebraic, exponential, and logarithmic functions; graphing functions using transformations; inverse functions; polynomial, exponential, logarithmic equations; systems of linear and non-linear equations; applied problems; building models from data. Use of technology will be embedded throughout the course. Recommendation based on the results of the Inver Hills Assessment Test or grade of C or higher in MATH 0940 within the last 2 years.
Pre-Requisites MATH 0940
Major Content Areas
Polynomial & rational functions, eq’ns, inequalities, graphs, & applied problems 20%
Systems of linear and non-linear equations 10%
Analyze data and use technology to find functions which best describe the data 10%
Characteristics of functions and the algebra of functions 20%
Use of technology will be embedded throughout the course.
Graphing functions using transformations 20%
Exponential and logarithmic functions, equations, graphs, and applied problems 20%
Learning Outcomes
Solve systems of linear and non-linear equations.
Perform the algebra of functions: sum, difference, product, quotient, and composition.
Use technology to analyze graphs, solve applied problems, solve systems of linear equations, and analyze data to find functions which best describe the data.
Solve polynomial, exponential, and logarithmic equations.
Solve applied problems involving compound interest, exponential growth and decay, logistic growth, and extrema of quadratic functions.
Graph absolute value, reciprocal, square root, greatest integer, rational, exponential, and logarithmic functions using transformations; graph piecewise defined functions; graph polynomials by finding and using the zeros and their multiplicities.
Solve polynomial and rational inequalities.
Demonstrate an understanding of functions and characteristics of functions such as domain, range, intervals of increase and decrease, asymptotes, intercepts, average rate of change over a given interval, and symmetry. Students will investigate these characteristics from both analytical and graphical perspectives.
Find the inverse of a one to one function.
Minnesota Transfer Curriculum (MNTC) Goals
02 - Critical Thinking
04 - Mathematical/Logical Reasoning
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