MiraCosta College | MATH 150 | ONLINE | Course Number 3836 | 8/18/25 ~ 12/13/25
Student Learning Outcomes are what any student should be able to do upon completion of this course.
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.
Upon successful completion of this course, students will be able to do the following:
Apply the definition of "limit," both finite and infinite, and compute limits of functions.
Determine if a function is continuous at a given input.
Find the derivative of a function as a limit.
Compute derivatives using differentiation formulas.
Use implicit differentiation.
Solve problems involving tangent lines, extrema, or velocity.
Solve related rate and optimization problems.
Sketch and describe the behavior of a curve using calculus techniques.
Identify indeterminate forms.
Evaluate limits using L'Hopital's Rule when appropriate.
Evaluate definite integral as a limit.
Find the integrals, both indefinite and definite, of simpler continuous functions using fundamental theorem of calculus.
Use graphing technology to analyze topics in a graphical, numerical, and tabular manner.
Obtaining an Associate Degree of Transfer (ADT) will increase priority admission to the California State Universities (CSUs) for many majors. Students completing the ADT in Math will have completed lower-division major preparation requirements for a mathematics degree, an emphasis or option within a mathematics degree, or a degree considered similar to mathematics at a participating CSU campus. Following transfer to a participating CSU campus, students will be required to complete no more than 60 units to obtain a bachelor's degree. Students should consult with a MiraCosta counselor for further information regarding the most efficient pathway to transfer as a mathematics major and to determine which CSU campuses are participating in this program. More information can be found in the MiraCosta catalog.
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 summarize these options as 3 following levels of knowledge:
Someone told me so. (teacher/parent/friend/etc)
I think it is true, and I can find examples to demonstrate my thinking.
I know something either is or is not true and I can show evidence to support my claim.
We should push for level 3 with evidence and support for statements made. With “why” vs. “how” in this course, while both are important, this course will emphasize concepts over process.