MiraCosta College | MATH 102 | Online | Course Number 3200| 1/20/26 ~ 5/22/26
Student Learning Outcomes are what any student should be able to do upon completion of this course. Student learning outcomes are assessed on a schedule. If this class is being assessed you'll be notified later on in the course. For now, don't worry too much about it.
For a given set of problems the student will demonstrate quantitative reasoning by developing a problem-solving strategy, performing appropriate analysis and computation, and critically assessing the meaning of the conclusion or outcome.
Intellectual and practical skills, including quantitative literacy and problem solving, will be practiced extensively across the curriculum in the context of progressively more challenging problems, projects, and standards for performance.
Form logical conclusions from arguments using conditional statements.
Identify logical fallacies.
Distinguish between types of reasoning (inductive/deductive).
Solve exponential and logarithmic problems related to simple and compound interest, loans, credit cards, and other accounts.
Use calculators, tables, and formulas to solve application problems.
Solve problems related to basic probability, including interpreting the results.
Analyze and evaluate word problems.
Interpret results in the context of the problem.
Create and solve an appropriate equation to model given information.
In mathematics, there are many ways to learn concepts. At the first stages, we are told things by parents or teachers and we take them as fact. Later, we may grow to begin to see patterns and ideas that we think are true but aren't sure why. The final stage is knowing something and being able to show why it is true.
We can think of mathematical understanding as having three levels:
"Someone told me so" (teacher/parent/friend/textbook)
"I think it is true" - I can find examples and see patterns that demonstrate my thinking
"I know it's true" - I can provide evidence, reasoning, and justification to support my claim
Our Goal in Math 102: We should strive for Level 3 with evidence and support for mathematical statements. In this course, while both "how" and "why" are important, we will emphasize understanding concepts over memorizing procedures.
What This Means for You:
During our in-person sessions, expect questions like "Why does this work?" and "Can you explain your reasoning?"
Exams will include problems that ask you to explain, justify, and demonstrate conceptual knowledge
This approach takes more effort initially, but leads to stronger, more lasting mathematical understanding