This course emphasizes the algebra and concepts of functions. Students learn the properties and graphing techniques for different types of functions including linear, polynomial, rational, trigonometric, exponential, and logarithmic functions. Students also learn to solve a variety of real-world problems that rely on a number of different problem-solving strategies and an understanding of these different types of functions. This course is intended for those students who wish to prepare for Calculus, requiring MAT-136 or a passing Math Alignment Score as a prerequisite.
Function literacy across six genuinely different types
The course deliberately covers six distinct function types — linear, polynomial, rational, trigonometric, exponential, logarithmic — because calculus genuinely requires fluency across this full range, not mastery of just one function family.
Explicitly designed as calculus preparation
MAT-140 states its purpose plainly: preparing students for Calculus. This explicit framing shapes which topics and depth the course covers, prioritizing what calculus (MAT-225) will actually require.
Key topics in MAT140
- Linear and polynomial functions
- Rational functions
- Trigonometric functions
- Exponential and logarithmic functions
- Function graphing techniques
- Real-world problem-solving strategies
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Worked example: six function families, one calculus-ready foundation
- Narrow-function approach: Mastering only linear and polynomial functions before attempting calculus
- MAT-140's approach: Building fluency across linear, polynomial, rational, trigonometric, exponential, and logarithmic functions together
- Lesson: MAT-140 teaches that genuine calculus readiness requires this full range of function literacy, since calculus problems draw on all these function types
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Frequently asked questions
Calculus problems genuinely draw on all of these function types — derivatives and integrals of trigonometric, exponential, and logarithmic functions are just as central to calculus as those of polynomials — meaning a student who masters only one or two function families would face significant gaps once they reach calculus coursework. MAT-140 covers this full range because genuine calculus readiness requires fluency across all these function types, not narrow expertise in just a subset.
Framing the course explicitly around calculus preparation helps determine which topics and what depth of coverage actually matter — certain function properties and problem-solving strategies are prioritized specifically because calculus will require them. MAT-140's calculus-preparation framing ensures the course's content selection is genuinely purposeful, focused on building the exact function literacy that MAT-225 (Calculus I) will assume students already have.