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# Certificate Outcomes

The table below lists the student learning outcomes for the Certificate in Mathematics I. Below each course is marked with an "I", "R", or "E" using the following legend.

• "I"= Introduces the concept
• "R"= Reinforces or contributes additional information
• "E"= Emphasis (assumes level of mastery)
Certificate in Mathematics I - Curriculum Map
Program Student Learning Outcomes MATH 1139 MATH 1200 MATH 1240 MATH 2110 MATH 2111 MATH 2141
Study the basics of sets and set theory. Use sets to solve problems involving surveys and uses sets as a basis for describing other things (intervals, domains, ranges, etc.) in Mathematics. I/R I/R R R R/E R/E
Use logic to write and resolve symbolic arguments.  I/R
Study Mathematical functions, graphs and use functions as models   I   I/R I/R/E I/R/E
Calculate rates of change, solve optimization problems and related rate problems           I/R
Calculate areas, volumes, average values, center of mass, and probabilities.      I     I/R
Study vectors and use vectors as a problem solving tool        I I
Display quantitative and qualitative data and draw conclusions from such displays I   I/R/E
Calculate probabilities of random events and understand the key concepts about probability distributions I   I/R/E
Use decision theory to make conclusions which are based on data and probability calculations     I/R/E
Use logic to write basic mathematical proofs       I   I/R
Manipulate expressions, solve equations, graph two variable equations, define functions and use these things to solve problems   I/R   I/R/E I/R/E I/R/E
Solve triangles, graph periodic functions, use trigonometric identities to solve problems involving trigonometric equations and use trigonometric functions as Mathematical models       I/R/E I/R/E I/R/E
Define and graph exponential, logarithmic, polynomial, rational and trigonometric functions. Define and graph conic sections and graph equations in polar and parametric forms

I/R

I/R/E