This page might be updated as the course progresses, including both review materials and lectures and sources to help with new material.
Here are some handouts:
Your first resource for help in the class should be the instructors and course assistants. You are welcome to office hours for any kind of question, we are here to help you and ready to explain the same thing as many times as necessary. You can also email us if you have any concerns, or if you would like to make an appointment to speak to one of us in private.
Stanford offers free tutoring for Math 19 through the Center for Teaching and Learning (CTL). You can book either a private appointment or go to a scheduled drop in session. All of the information, as well as the online form to request a tutoring appointment, is on the Undergraduate Academic Life website.
Some graduate students also offer their services to tutor for Math 19, you can find their names and email address on the list of private tutors maintained by the math department. Beware, private tutors tend to be expensive.
The following exams were given in previous incarnations of Math 19. Material covered for a given midterm in these classes does not necessarily correlate to the material covered in Math 19 this quarter, so bear this in mind when using these to study for exams.
We will not provide solutions other than the ones already available here, but you are welcome to ask any instructor or course assistant to show you correct solutions to any problem.
Another interesting resource for this class is Khan Academy, a website which hosts short, very helpful lectures. We highly recommend you spend some time looking through their Algebra lectures. We also expect their Calculus lectures will be very helpful throughout the course. They have a very popular sequence hosted at iTunesU. Some sample sessions are given below. You may not need all (or any) of these or you may need more. Try some out and don't hesitate to contact any member of the teaching staff if you have any questions. If you are feeling either bold or highly confused, you can start from the beginning with a very thorough set of diagnostic exercises that can help pinpoint where you should be focusing. To do the diagnostic exercises, start at the exercise dashboard (and be patient, it starts with arithmetic and finishes at calculus).
The following is a list of video topics we think will be particularly helpful to Math 19-20-21 students. This list may or may not be updated as the course progresses.
- quadratic inequalities (2 parts)
- functions (4 parts/)
- domain of a function
- rational inequalities (2 parts)
- function inverses (4 parts)
- algebraic long division
- limits: introduction, examples (5 parts)
- squeeze theorem
- proof:lim (sin x)/x
- exponential growth
- parametric equations
- logarithmic scale
- function inverses
- the unit circle definition of trig functions
- graphs of trig functions
- more trig graphs
- trigonometric identities (several)
- inverse trig functions (all three)
- tau versus pi
- Work through all of the videos, including sequences and series! There is not so much here and getting these short, concise summaries will help your overall comprehension.