Instructor: Christine Taylor
Description of Course Goals and Curriculum
- Course teaches multivariable calculus with subjects including vectors, parametrization, differential equations, quadric surfaces, and flux integrals
- By the end of the course, students will be able to understand multivariable calculus and its applications in real world problems
Learning From Classroom Instruction
- Structure of class (Fall 2017) is precept on Tuesday and Thursday and lecture on Wednesday. Class is taught at a fast pace but Taylor explains concepts very clearly and provides enlightening examples.
- Essentially no difference between precept and lecture; lecture covers general concepts/formulas while precepts show more examples but they are generally very similar instruction-wise (Taylor is the only instructor). The classes follow a sequential order with continuous instruction. Attendance to all classes is highly recommended because of fast (but understandable) pace.
Learning For and From Assignments
- Problem set (pset) each week consisted of textbook problems and a few application problems outside the textbook. Application problems were generally more difficult but more relevant to the real world.
- Psets are great resources to study from; redoing problems and understanding concepts behind them are greatly beneficial for exams. Pset problems were generally more difficult than precept examples, and exam problems were generally similarly difficult or slightly more difficult than pset problems.
- Collaboration is encouraged and helpful for students; peers are more accessible resources than the professor when working on psets especially during problem sessions (see below).
- Problem sessions are key to the majority of students taking this class! Every week students congregate with TA's and occasionally the professor and this is where most of the pset is done and answers are checked. Invaluable resource, highly recommended for success in this course. Approximately 1-3 hours were spent here each week.
- Office hours were invaluable as well especially for trickier concept problems and/or when studying for exams.
What Students Should Know About This Course For Purposes Of Course Selection
- A lot of work but very rewarding! Professor is excellent and always willing to answer any questions. Go to problem sessions and office hours (personally did not read textbook too much if that is helpful for some then go for it)
- Be aware that the last topic(s) covered in the course are the most difficult (all of Chapter 16 in the textbook I believe) and material is very cumulative so make sure the material is understood and go to office hours if they are not.
- Fall 2017, cheat sheet was allowed on exams (midterm and final) but not on the two quizzes (each worth half of the midterm)
- This class teaches how to effectively study for a STEM exam (practice!)
- Differential equations are taught but not tested
- Prior knowledge of trig identities and various integration techniques would save some time later on in the course refreshing knowledge.
An Integrated Introduction to Engineering, Mathematics