Mathematics | CEL • Active forum • Flexible •HD video lectures^{new}downloadable and playable on smart phones and ipads Transfer academic credit to your university 4 semester units,summer 2018 [subject to approval],
8 weeks, June 25 - Aug 13, fully online, flexible Calculus I - MATH 226 15 years of verifiable track record serving hundreds of students annually Calculus class online with
video lectures, active forum & personal help

Students from any other universities are welcome to join us. Email Dr. Goetz goetz@sfsu.edu if you have any questions that are not
answered below. Info how to join in.
The class is fully online, you can be anywhere with an interent access. There is no need to come to campus.
However, there are two proctored events:
(a) a readiness test and (b) comprehensive final examination. Both can be taken on campus or
at your location via a video link. In the latter case there is a small fee charged by ProctorU.com
You can take a practice readiness test now: calculus.sfsu.edu/ready. Once you pass it,
you can retake with ProctorU.com even before you register for the class.
If a students cannot demonstrate that they are ready by passing a proctored test within first 7 days of instruction, they will be dropped from the course.

This is the future - recent article about this this class and the professor.

What are the students who succeeded in this online calculus class say and what advice they offer?

Joey from spring 2017.
Hey Dr. Goetz,
I wanted to personally let you know what I've thought of this class, as it is my first online course:
1.) This course is designed very well and your lectures are incredibly comprehensive.
2.) The ability to pause and rewind your lectures has greatly increased my capacity to understand lessons.
3.) I am graduating this semester with a BS in geology and have completed a senior thesis, this class has been extremely relative to the data analysis scope of my project. The way I have come to understand the processes of derivation and integration in the applications of geology are extremely empowering!
Just wanted to personally thank you, and say that this class has been awesome.

A student from summer 2016.
Dear Professor Goetz,
I would like to thank you and your team for all your help with this class. Your students have been really efficient with the feedback on the homework and I really appreciate that. Also, your lectures/videos were very clear and easy to understand, the summer class was definitely tough but I had fun.

Continuing student in 2016.
I am writing you to inquire about adding your Math 227 Calculus II. Over the summer I completed Calculus I with your online class and received a B. I found a new appreciation for online classes and your class by far made me love online studying. I enjoyed the self paced instruction and I felt as if I was able to understand the material a lot better. The way your class was structured was very organized and is set up for student success. Hopefully I can join your class again.
A UCSD studentI just wanted to say thank you. I went on to complete second semester calc,multivariate,linear algebra and differential equations at UCSD. Received A's in all my courses because this course really gave me a solid foundation.
Lesley, Pre-MBA candidate, Summer 2010
This was my first online class, so I really had no clue what to expect. To say I was happily surprised is an understatement. I have never been a strong student when it comes to math, and this class was so clear and easy to follow that I felt I understood the concepts exceptionally well. Every lesson was clearly explained with concrete examples, and the forum was beyond helpful by being able to interact with other students and learn about their approaches. I thought the forum was just amazing; I was able to actively engage with so many other students in the class and exchange ideas with people from all over. This truly was such a rewarding experience for me and I would highly recommend this to anyone looking to take Calculus. The forum was fun to participate in, and the homeworks helped me to really nail down concepts in each lesson and stay on track. It is a lot of work, but I was able to stay ahead and get each homework done on time. This really came to my advantage at the end of the class when I prepped for the final exam. My advice is just to stay on track and be sure to do each homework assigned and turn it in on time. And don't be afraid to ask questions on the forum - I found that other students were more than willing to help explain things to me when I was stuck. This was certainly the best math class I have ever taken, and I learned more than I could have ever imagined.
Lucas, The Citadel, Summer 2010
I was very pleased with this course. I have never been a math genius and the way that this course is designed helped me tremendously: the video lectures, forums, online notes, etc. I would highly recommend this course to any student who is trying to get ahead in their college credits. Fair warning though, it was not an easy summer course. You must remain motivated throughout the duration of the course and be sure to not get behind in the course load. All students have the opportunity to work ahead in the course and prevent this from happening. If you can do this, do it! Thanks Professor Goetz!
Mike, architecture major, Summer 2010
This calculus course was very convenient in the sense that it was online and 4 credits without any major prerequisite. But over the summer I took this class while taking another online class and working 40 hours a week. This calculus class is not good for someone who plans on doing too many other things over the summer. When professor Goetz says you need to devote alot of time to this class he is not exaggerating. This class requires your full attention and effort. The only thing I though was not right was the fact that the homework switched from Monday Wednesday Friday to sometimes Tuesday Sometimes Thursday and even sometimes on the weekends. When it was all said and done I am thankful for this class.
A student who is a parent, Spring 2010
I want to thank you for the great spring semester of online calculus. I never ever would have thought that I would be able to grasp calculus the way I did. Before enrolling in your class, I went and bought some calculus text and notes. And, although, they were insightful they were unable to convey the message the way you were able to so eloquently do. I always found the language of math, as it is written in the text, difficult to understand...it just didn't flow for me, and as much as I tried to grapple it, it just wasn't happening.
Back 15+ years ago, when I was a college student, math was always difficult for me. Although I majored in biology and pre-med, I never felt the need for it, until I went into research where besides understanding the biologic processes, there was an ever greater and relevant need to validate and quantify the data by mathematical means. I was young back then, and I saw the world in black and white as I did science, but the real world is not that simple and science requires one to think outside the box. I just wish that somehow, somewhere an instructor would have mentioned that to me. But I had to figure it out on my own through culminating experiences in both life and while in the industry. But irrespective of all the experience I had thus far in life, I don't think it would have helped me understand calculus if you had not been there.
Now that I have kids, not just do I want them to have the best education, but also I do not want their education to be as challenging as it was for me. You see, my parents did not have any formal college education. And throughout my education career as I struggled through math and physical sciences there wasn't anyone there for me at home who could have directed me, as I have seen with so many of my friends who fathers and mothers were engineers/scientists. It definitely helps to have some sort of a direction/guide in life. I am just glad, with your help, that I was able to get a much better understanding of math and calculus, and I know it will not just help me but also my kids, whose future I hope to positively influence with this new knowledge.
Again, thank you for a great, well-structured calculus course. I had a great time, and thank you for the new found knowledge.
Abdouramane. (Club of Emerging Leaders for Africa, Fall 09)
I would also like to thank you for the quality of the calculus course, your method and availability. To be honest, I have never been very strong in mathematics in the past, although I covered lots of the fundamentals required to perform in the calculus course (algebra, trigonometry, basic functions, slope etc...). However, your course and method allowed me to work rigorously on each of these fundamentals, to build relationships between them and integrate them to solve calculus problems. At present, I have no doubt that this will help me throughout my professional career. Furthermore, I gained a strong interest in the discipline and wish to participate to a calculus II class. [...]
previous Summers - 8 weeks - 3 lessons per week, summer students sharing their experienceYour tips for a potential student to succeed?
scanner, fast internet connection, i didnt have a graphing calculator so i downloaded WZgrapher and that worked for me
1. Submit assignments early when possible, especially for the first sets, which tend to be easier and gives you room to get a few problems wrong in the later, more difficult sections.
2. Listen attentively during the lectures without taking notes, pause when the professor asks for students to solve a problem on paper and do it yourself, and be engaged even though there is no physical contact. I often found myself responding outloud to his questions as if I was in class with him, but it helped me in being completely focused.
3. Replay lectures when necessary. Make us of the stream videos available, very helpful!
4. DOWNLOAD LECTURES AND ASSIGNMENT AHEAD OF TIME. With technology comes some uncertainty, as signal strength can change or internet connection can fail. I often read about classmates being stuck in a problem that was explained in lecture because they could not access the lecture due to last minute internet connection problems.
5. Last week is fast paced, give yourself time to complete the mandatory assignments EARLY, so you may submit the optional assignments (which are review problems for the final exam) and do the final practice exam. Get ahead early and always work at least one assignment ahead. If participation remains as such a influential catagory then respond to everything and anything.
It is very important to have enough time to watch the lectures, read the notes, and "hammer out" the homeworks. If you have a good foundation in Algebra, Trigenomentry, and Geometry, the only key needed for success is committed time for this class (about 5-7 hours per lesson).
Make sure you are aware of the deadlines. Also, be organized and allow yourself plenty of time to complete the assignments.
take this class. If possible, I would reccomend getting ahead early so that you can take advantage of the potential flexibilty this course offers.
You need to have high discipline in your studying. You need to control yourself to take a seat and study on timely basis.
Purchase the "Calculus Lifesaver" book instead of a calculus textbook. First, it's much cheaper than a used textbook. Second, the topics are covered in order and in more detail with lots of examples, solutions, and explanations. It was a great complement to the course material.
Second, come up with a schedule of when to do each lesson, and stick with it. That came in handy for me, as I took this course over the summer, along with volunteering weekly and taking the MCAT.
Third, review trig along with basic algebra.
Get ahead and try stay ahead. It's the only true way to succeed.
Do NOT fool yourselves. Even the brightest, most successful students found this class to TRULY require 5-7 hours per homework set, if not much more at times.
Watch the video ALWAYS before you start the homework! Maybe you are running a little late and feel that you don't have time for it, but find the time! These videos are the key to your success in this class. You'll spend more time looking up how to do a homework problem than simply watching the video. Might as well start off with the right step then skip it, waste time, and have to watch it after all.
Also, DON"T wait till the last minute to turn in your homework. On one or more occasion I figured I would turned my homework at work, no problem. But I got preoccupied and found myself running to my PC praying to have enough time to turn it in.
Put in plenty of study time and you will succeed.
Take the class with no other engagements, as aforementioned. Also, dedicate a minimum of 3 hours to each lecture and homework. The final thing would be to utilize the forum. It is a wonderful learning tool if you use it correctly. Keep up on the homework, doing it ahead of time if possible in case some problems being harder and taking more time than expected!
Watch the lectures and communicate with the other students in the class, although I was a bit slack I found out that they was a great resource.
The key to success is to be diligent and stick to the class schedule. Also, class participant is critical, without the student has a slim chance of achieving a good grade.
Definitely need to put in the time, if someone wants to get a decent grade. Aside from the lecture (usually an hour long), and reading material from my text (usually another 2 hours to understand), the homework would take me anywhere from 2-7 hours to complete.
Keep on top of the work! It was a lot for me to do, and I'm a math person!
Definitely do NOT get behind on lectures, participate in the homework forum and I found it very helpful to meet with a tutor on a regular basis.
Again, make sure you devote enough time to the HW assignments and don't be afraid to ask questions.
Keep up with the homework and contact the TA's for professor, and check the ilearn constantly. Before you watch the video read the Home work problem and the instruction.
Watch lectures in advance, don't rely on ilearn for answers...just to double check, and to discuss big picture concepts. What was most rewarding?
seeing as how i paid for this class with my own personal money that i saved up i really wanted to not only succeed but enjoy it. viewing the problems as puzzles or games made it fun and the sense of accomplishment after finishing was great.
The most rewarding part of this course is the fact that I enjoyed the course, when in the past I have dreaded taking math course due to the difficult time I have grasping concepts quickly. Despite the fast pace of this course I felt that the lectures where very clear and concise and had a very manageable pace. Also, the homework forums where a very effective way to exchange ideas, frustrations, and the glory of finding the correct solutions....making the entire process more involving and more effective. I had never before enjoyed a math course as much as I enjoyed this online calculus course!
Doing a problem and going to the forums to see that you did it righh!
The most rewarding part of this class for me was getting the grades I wanted on the assignments. Despite all of the work, the material made sense to me, and it was good to see that reflected in my grades.
Being able to help other students in the discussion forum was the most rewarding part of the experience. And, finally being done!
i don't really know
It was rewrding to finish a homework assignment that was due on a Monday before the weekend.
Fully understand in the calculus fundamental knowledge.
The final exam was the most rewarding for me. I could not believe that I had actually learned a lot over the summer from an online course until I took the final exam.
I took the exam at the SFSU campus. There was one little thing that could have been done a little bit better. It would have been nice if the clock were positioned so that we could see how much time was left as we were taking the final exam. Or, write on the white board every 30 minutes with the amount of time remaining. I definitely rushed through the exam, not realizing that I had a ton of time to double-check my answers.
Taking the final, it wasn't that hard at all.
Getting the right answer and being able to help someone else get the right answer.
The way the course is set up if you put in the relevant time to study you come out really knowing your stuff.
Dr. Goetz. He is an amazing person, and his teaching style is one that I can learn from very easily. He also was very very helpful via email when I needed things. I think the forum was also very rewarding, but due to my 'around the world' situation I had little time to post messages on the forum, but I did read them daily.
Drilling this information into my brain after only half-getting it my first time through. It was nice learning why something works and not just going through the motions of the problem, knowing how it worked helped me.
I understand calculus a little better then I did before. The lectures was great, because you made it plain and clear along with the examples was a great help.
The most rewarding part was seeing the entire class through until completion.
Comparing homework answers with other students, and finding out that I had similar answers compared to the rest of those who posted on the forum.
I love algebra. Finding out that so much was algebra was fun.
Actually absorbing the information and making sense of it all! Professor Goetz does a great job of applying calculus to real life situations.
Finishing a HW assignment and seeing that you got the right answers was a good feeling. Also, being able to help others who were having trouble on the web boards was rewarding.
When I took calculus for years ago in my high school I though I would go nuts. But taking this class from SFSU with Dr. Goetz made calculus to understand better.
Probably just feeling accomplished after sorting out a really complicated problem... What was most challenging?
complex derivatives (trigonometric fractions etc)
A few students were always ahead and began the forums. When the answers they posted where correct and someone else had already described the path to the solution, I often felt the inability to make a valuable contribution, other than saying "I agree".
Trying to keep up with the assignments while working full time.
The most challenging thing about this class was carving out time to work on this class every day. I worked at a full time job, and taking this class was just short of a second job.
Once my summer began to get busier, it got more challenging to keep up with the assignments. But, since you are well aware of the assignments for a long time before they are due, you could work ahead to avoid this problem.
in the beguinging it was very hard for me to understand but now it is very easy.
The most challenghin part of the course was tryin to participate in the homework forum while working around my schedule. It was helpful but sometimes not the best way to stay involved. Many times, everything that needed to be said about a problem was already said by the time my schedule allowed me to get to the homework. That makes it difficult when you know that the forum is a large portion of the grade.
Some homework problems are really difficult, but they are interesting.
My internet connection. My occasionally-working DSL router died midway through the course. Luckily, I got into the habit of downloading 3 lectures at a time, along with the corresponding homework assignments so that I could still learn and do homework while the router was not working. I just didn't post to ilearn during those down times.
Also, there were several lectures where the sound quality was horrible. For those lessons, I relied more on my book than the lecture for information.
The Shapes of Graph and Optimization.
THE PACE! Even as s straight "A", $35,000 scholarship receiver could not keep up but I took on too much this summer! I only mention my large scholarship in order to put emphasis that no matter how smart you are, and no matter how little effort other math classes may have been in the past, this class is extremely time consuming.
I enter this semester thinking " Oh, no problem. I can handle this easy! I am not the average student and can certainly get an A with ease". Wrong!
The videos were phenomenal! yet I found myself eventually lacking the time to watch a few of them. BIG MISTAKE! It's actually took me MORE time to do the homework without watching the video! The forums helped a ton, but those videos are crucial to your success in this class! MAKE time for them, and ALL of them!
I took the summer course and needed to put in many hours a week to master the material.
Maintaining appropriate homework time dedication while traveling all around the world. This was a personal choice, of course, and I dedicated sufficient time to each homework, but it was not an easy task. My advice is to take the class when you have no other engagements.
Working full time and finding time to do the homework.
The thing that was most challenging for me was getting the lesson in.
The most challenging part was keeping up with the 8-week break-neck pace.
The whole class was challenging I thought. You really have to work hard to attain a decent grade in the class. No one should ever expect an easy A if they are thinking about taking this class.
The problems with the graphs of the flight. It was difficult for me to figure out how the graph related to when you were on or off the ground.
Organizing my time properly so as to not get behind on lectures and homework assignments. Three or four assignments due a week!
Staying ahead with the class was difficult at times - completing 3 (sometimes 4) 1 hour lectures plus their associated HW assignments in a week was sometimes not the easiest thing to do. But, with a decent ability to manage your time, it was an easy hurdle to overcome.
The most challening part of this class was staying motivated. Since you work during your own schedule and pace, it was definitely easy to lose track of what was going on.
Comprehensive problems.
Sometimes I had a lot of trouble getting myself to watch the lecture far enough in advance. I did the best when I watched it the day before, and thus had time to recap with the book and think some concepts over before doing the homework.
Why did you take the class?
requirement for biochemistry major and i always regretted not taking it in highschool
I took this calculus course because it is a pre-requisite to apply to some medical schools. The reason why I took it online was for the convenience of not having to be on campus just for one class as I spend a total of 4 hours commuting to and from campus each day during the academic year. It was a nice break, and allowed me to use my time better!
It had been 8 years since I last took calculus so I needed to refresh my knowledge in calculus in order to continue with my economics degree.
I took this class to help enhance my future medical school applications, as some medical schools recommend and/or require calculus. SFSU, unlike other colleges and universities, did not require pre-calculus (which I have not taken).
Having this class online meant that I could adapt the work load to my busy schedule.
I needed this class in order to begin student teaching in August, and wasn't able to fit it into my schedule last spring at Peru. So, the timing of this course worked perfectly to enable me to finish my classes and student teach in August.
Becasue i need to complete my degree and take Engineering classes
I took this class to fill my math requirements and it was a way to get the credits while working and continuing my baseball career all at the same time.
It's the requirement for my MBA program.
I needed to take this class since several pharmacy and most medical schools require that all math and science courses be taken within the previous 10 years.
To improve my knowledge of Calculus as a whole. I've taken it before and didn't like my grade.
My Fellowship would not allow me to take a class unless it was from 7PM to 10PM.. and I don't think I have EVER seen any class like that.
Also, I wanted to enhance my Mathematics skills. I dropped out of high school and have always had to struggle with math, which I believe, is do my lack of math in my teenage years. I believe having math skills provides an individual with much more than "math" skills, but also changes/enhances one's fundamental thought processes and reasoning skills.
So i could finish the relevant courses faster so that I can put more time into studying for my exams
I needed Cal 1 in order to qualify for the prerequisite of the MS in Computer Science. Unfortunately my fall schedule was full, and I was to be in London taking a class for the remainder of the summer. The online aspect of the class attracted me, and solved my problem of time.
I was not satisfied with my first time through Calculus I, and after taking Calculus II and getting a good grade there, I figured it smart to retake the first one and go for an A.
I took the class because it is a requirement of prerequisite for the MEES program.
The reasons are two-fold: I enjoy math and wanted to become more familiar with Calculus concepts. The second reason is that I want to switch careers and enter the R&D world. Therefore, these two reasons drove me toward Calculus.
In order to satisfy a pre-req in an emphasis area in my program.
To refresh my memory: I last took Calculus in 1975.
It is a requirement for my major
I was lead to believe that I needed to take a calculus class before continuing my education. Turns out I didn't ... but I'm still glad I was able to take this class. It was nice to experience an online class - they can be just as engaging as a traditional class.
I took this class because I had to--for my major. But I took this class specifically because Professor Goetz was recommended by many of his past students. Usually, when so many students praise a professor (especially a math professor) for their work; you can't help by insist that the professor is a hypnotist. After hearing all of the hype, I had the urge to check the class out for myself. I'm not saying that this class was easy or that Professor Goetz is an easy grader, you definitely had to earn your grade, but what I'm trying to get at is Professor Goetz is possibly the only person who can teach college calculus, via the internet, effectively. Now that the semester is over... I can totally say that I believe the hype!
To transfer credits.
I needed calculus as a pre-requisite for higher level Econ courses. I wanted to take it online so I could still use summer to take trips, work, etc. If I had taken it in person, It meets every day during the week, and I worked all weekend, so I wouldn't have been able to go camping! What surprised you the most? at first the work load caught me off guard, but it was no problem adjusting
What was most surprising to me to me was the deep level of engagement and participation that was reached in every discussion forum.The online forums generated more frequent, and more in-depth student-student interaction than a regular in-classroom course where students have the physical contact and possibility to interact with all classmates but often choose to befriend just one or two.
The class was a little more labor intensive then I thought but nothing unreasonable. I thought that the ilearn forums was very helpful.
What surprised me the most about this course was how "learnable" all of the concepts were. Many people I know cringe when they hear the word "calculus," but I thought that this class was presented in an enjoyable way.
The speed of the course is a little surprising at first, but you get used to it. I was also very surprised by how good the lectures were and how thorough and helpful too.
I thought before that MAth Calc is the harsest math, and it gets hard when you take online, I had told everybody that i am taking Math Calc Online, and everybody said it's gogin to be hard fro you to pass this class. However after i did all the stuff in math, i got surprised that it was very easy
the degree of participation in discussion board. It's really high. Many students had participated and their comments are really helpful.
What surprised me the most?? The professor, the TA's and the "online" format were not as intimidating as I had feared, after all I hadn't taken Calculus in 20 years. The last time that I took calculus, both Calculus 1 and 2 were weeder courses turning freshmen engineering students into business majors.
The video lectures, seeing Prof. Goetz and then seeing him in person.
Honestly? The pace at which the class was taught. I was very aware of getting into a summer school math class and that it would be taught quite quickly, I had not deeply considered exactly how that would affect my life when I took on a full time Molecular Biology fellowship as well!
Also, that Chapter 5 was included. For our first serious of Calculus as SJSU, we only go up to chapter 4. But I found Chapter 5 to be very much worth doing and enjoyed doing it. I felt as if Ch. 5 was my fist time at getting into "real" Calculus!
What really surprised me the most about this course was the dedication of professor Goetz and the TA's. If you ever have a question or need help with something they were always available and answer you back right away. Another great thing was that they were very on top of grading the homework on time, so you can know were your holding and what you have to improve on.
The extreme amounts of contact with not only Dr. Goetz but the other students. There is a closeness there that you sometimes do not see in an actual lecture.
The online support available.
The thoroughness of Dr. Goetz's lectures surprised me. He is very verbose and explains concepts quite clearly and with conviction.
What surprised me the most was how easy it was to understand Professor Goetz's method in teaching Calculus!
How interesting the lectures were. I usually learn by myself, but I didn't try to do the homework until after watching the lectures.
I was surprised at how excellent and organized the live lectures were. Although a textbook is quite helpful it is not necessary because Professor Goetz covers everything in his lectures and provides several other helpful resources i,e. online grapher, stram clips, websites, homework forum, etc...
I was surprised at how much I enjoyed some of the lessons. There were a few I didn't like, such as the ones with 8+ page HW assignments - but it was still surprisingly fun at times.
I initially felt intimidated by the idea of taking an online class--especially it being a math class--because I felt that, for some reason, it would be very fast paced and that I wouldn't be at the same level as the other students. However, once the semester began all my worries disappeared and I felt comfortable. What I found most surprising about this class were the students. It was just so refreshing to know that there was always someone online who could help and answer a question.
After Spring Semester, 2008 I was looking forward to do summer school on Calculus I. I never thought about taking a online calculus, since I thought "how can it be possible" to take a math course online. Regardless, I went on Google and searched for "Online Calculus in USA". Then I found the SFSU site at the top of the Google search. Since the domain extension was .edu I was confirmed that it is a legit place for me to take the course. Next day I called the registration and signed up for it.
All the lectures of Dr. Goetz are perfect. He does explain every little detail and examples, which makes one to finish the homework properly. All the TA's are extremly helpfull and they know what they are supposed to do. I am really impress with this "Online Calculus" from SFSU. I hope you guys will soon have "online calculus II".
Scanning the homework, instead of having online assignments. I though this was way more helpful. I often had to re-write the homework several times, which only helped solidify the execution steps.
Any other comments
Thank you! I had always felt that I was not good at math because I had a hard time understanding it. However, throughout this course I understood every single concept perfectly, and was able to apply it to the homework, and even help others once in a while! This has demonstrated me that the way a course is taught has a lot to do with how well a student does. Even though I do not yet know my final grade, I feel that I gained a very valuable understanding of calculus one, as well as newly acquired self-confidence in learning math!!
I hope that this kind of class continues well into the future, and my compliments to its creators.
Thank you for being an excellent professor and helping me understand the concepts of Calculus.
A midterm would have been nice. A middle point in which to recall all of the information you have processed thus far and the ability to put it all together would have served me well.
More examples in the .pdf lectures.
This is sincerely THEE best calculus class I have ever taken! Dr. Goetz not only is good at his job but enjoys it and that makes ALL the difference.
And when is Calculus II going to be available in this manor??? I have a year to complete it so let me know!!!
Thanx for a great leaning experience and will recommend to others
Thank you for a great course. I think it was an amazing learning opportunity. I feel as though I learned a lot, though maybe I did not properly show it on my exam. I wish I was a better exam taker, I tend to be very nervous and forget things when I take tests.
Regardless, I feel as though I learned quite a bit more than I have ever learned in previous math courses, and Dr. Goetz was the best math professor I have ever had.
I like your methods on how you presented this course. It was excellent and I learned that calculus can be understood by someone that is not a math major.
Thank you This was a great course. I only wish there was a follow-up online class (Calculus II).
I have already recommended this class to several others, I hate summer classes, but this has been a very rewarding experience. Thank you!
Thank you so much! It was exactly what I was looking for. If I teach AP Calc in the next few years, I'll be reviewing all the lectures and materials.
Karyn
Keep offering this great class!
Thanks Dr. Goetz!!!!