MATH 2551 - Multivariable Calculus
COURSE XXXX "is a..." "covers..." "also known as ___, ...", "is about ..." Basically, just write a 1-3 sentence blurb to introduce what the course is.
Topic List
- This is where you can introduce the main topics of the course
- You can add subtopics here
- You can consult a syllabus to remind yourself of a topic list
- Try not to add too many main topics; definitely keep it <15.
Class Structure
This is where you can talk about the class structure. Is it lecture or project heavy? Are there labs or in-class discussions? Is most of the workload from homework, or studying for exams?
Please refrain from discussing exact grading schemes, as professors need some leeway in changing things semester after semester.
Prerequisite Knowledge
Single Variable Calculus
Single variable calculus is an important prerequisite for MATH 2551. Multivariable calculus applies single variable calculus concepts such as limits, derivatives, and integrals to functions with more than one input and/or output. Multivariable calculus should not be seen as the next course in a linear sequence of calculus courses; rather, it should be seen as an outward expansion of all single variable calculus topics. For example, while no new integration techniques are introduced in multivariable calculus, with the exception of the Jacobian, the concept of integration is extended in multivariable calculus by applying it to 2D and 3D regions in new coordinate systems.
Linear Algebra
Although linear algebra is listed as a prerequisite for MATH 2551, topics that require prior knowledge of linear algebra are rarely seen in MATH 2551. For example, while multiple topics in MATH 2551 use vectors extensively, vectors are reviewed at the beginning of the course, making prior knowledge of vectors unrequired. However, linear algebra does provide a more theoretical background for concepts such as the dot product and matrix determinant, which may be helpful for MATH 2551.
Scheduling
MATH 2551 is required by most engineering and science majors. It is also a prerequisite itself for many classes required by engineering and science majors. Due to its prerequisites, MATH 2551 is generally taken sometime between late freshmen year and early sophomore year.
