Course Syllabus
Course Description:
This is the Calculus component of Pushing Past our Limits: Achieving Success Together in Calculus and Programming!
This course covers the fundamentals of differential calculus. Specifically, the course includes the basic concepts of analytic geometry, limits, derivatives, and their applications. The topics covered will include graphs and derivatives of algebraic, trigonometric, exponential, logarithmic, and hyperbolic functions. Applications, such as, motion, differentials, related rates, graphing, and optimization, will be covered. There will be a greater focus on mathematical rigor than is often present in precalculus courses, with extra emphasis on definitions, precise notation and logic.
Student Learning Outcomes:
Upon successful completion of the course, students will be able to:
- Analyze and synthesize the concepts of limits, continuity, and differentiation from a graphical, numerical, analytical and verbal approach, using correct notation and mathematical precision
- Evaluate the behavior of graphs in the context of limits, continuity and differentiability
- Recognize, diagnose, and decide on the appropriate method for solving applied real world problems in optimization, related rates and numerical approximation
Course Content:
- Introduction to limits, definition of limits, theorems on limits, one-sided limits, computation of limits using numerical, graphical, and algebraic approaches, delta-epsilon definition of limit
- Continuity and differentiability of functions, determining if a function is continuous and differentiable at a real number
- Limits involving infinity and asymptotes
- Introduction to derivatives, and the limit definition of the derivative at a real number and as a function
- Use of differentiation theorems, derivatives of algebraic, trigonometric, inverse trigonometric, exponential, logarithmic, and hyperbolic functions, the chain rule, implicit differentiation, differentiation of inverse functions, higher order derivatives
- Use of derivatives for applications including equation of tangent lines, related rates, differentials, and Newton's Method
- Local/relative and global/absolute extrema of functions
- Rolle's theorem and the Mean Value Theorem
- The first derivative test, the second derivative test and concavity
- Graphing functions using first and second derivatives, concavity, and asymptotes
- Applications of extrema including optimization
- Indeterminate forms, and L'Hopital's Rule
- Antiderivatives
Notes about Attendance and Participation:
- Communication: Since this class meets only two days a week, on other days, you can contact me via email (bambhaniadoli@fhda.edu) or via Canvas message. You can expect a response within 24 hours on weekdays and within 48 hours on the weekend. If you don't get a reply back to your email, try Canvas message, and the vice versa.
- Engagement: We will look for your engagement through regular attendance and participation during class meetings, and through the submission of assignments. If you will be absent, be sure to let the instructor know. Be sure to submit all first week and second week assignments to get into the "rhythm" of the class. Please note that if you miss the first class and don't inform the instructors, we will assume that you are not interested in being in the learning community and drop you!
If, for any reason, you stop participating and intend to drop the class, please do an official drop in a timely manner. If you fail to do so, you will receive an ‘F’ in the class. Follow the deadlines for this class in My Portal. We do not have the ability to make exceptions to these.
Covid Information:
Since this is an in-person class, please familiarize yourself with Covid-related information for De Anza College.
- Covid-19 Information: https://www.deanza.edu/covid/
Please note:
- Masks covering the mouth and the nose are required for all indoor classes at De Anza.
- If you become infected with Covid during the quarter, you must fill out the Student Self-Reporting Form at https://www.deanza.edu/covid/student-form.html and inform your instructor.
Textbook and Calculator:
Great news! Your textbook for this class is available for free online!
Calculus, Volume 1 from OpenStax, ISBN 1-947172-13-1
You have several options to obtain this book:
You can use whichever formats you want. Web view is recommended -- the responsive design works seamlessly on any device.
You are not required to have any special calculator in this class. While doing your homework and problem sets, you’re welcome to use any online or handheld calculator. During quizzes and exams, no calculators will be required, but you may bring a scientific calculator if you like. Graphing and CAS calculators will not be allowed on quizzes and exams.
Prepared Lecture Notes:
I have put together prepared lecture notes designed to help you keep your lecture contents organized. Here is the file: Math 1A Prepared Notes (1stEdition).pdf. Please print the file, or open it on a tablet if you have the ability to annotate electronically. When you attend class, you are expected to take notes on these. Keep all your notes organized in a binder. I strongly recommend that you do this. If you don’t have access to a printer or a tablet, you may purchase them at the bookstore for $10.75.
Office Hours:
- Mondays and Fridays 12:15 - 1:15 p.m. (Zoom link: https://fhda-edu.zoom.us/j/82053484886)
- Tuesdays, Thursdays 9 - 10am. (Zoom link: https://fhda-edu.zoom.us/j/88493790991)
- Or, by appointment (email me to schedule)
Professor Alameer's Office Hours:
- MW 11:20 AM - 11:35 AM, room ATC 204 or ATC 203
- TTh 2:30 PM - 3:30 PM via Zoom
Counseling and Tutoring:
Counseling: We will have a dedicated counselor for this class. His name is Huy Le (Email: lehuy@fhda.edu, Phone: (408) 458-5828). Here is a message from him.
Tutoring: We have a number of dedicated tutors for this LinC community.
Monday | Tuesday | Wednesday | Thursday | Friday |
---|---|---|---|---|
11:25-1:25 with Rasool (AT 203) |
||||
4-5pm with Joowon (AT 203) |
4-5pm with Joowon (AT 203) |
4-5pm with Joowon (Zoom Meeting ID: 889 4339 7556) |
||
7-9pm with Rasool (Zoom Meeting ID: 854 5785 6670) Passcode: 895216 |
Homework and Problem Sets
The best way to succeed in any math class is to do all of the assigned work correctly and in a timely manner, making sure you really understand what you are doing! Focus on how to think mathematically about problems, not just on following a procedure! Time spent on the homework and problem sets will directly benefit you on quizzes and exams.
Online Homework: You will have online homework for each section we cover. The homework uses the free software MyOpenMath, and will be graded for correctness. The links and due dates are within the Canvas Modules, but generally speaking, the Online Homework for a section is usually due 2 days after we have completed the section in class. You will have 5 late passes, each of which will give you a 24-hour extension on the homework for a particular section.
Problem Sets: Each week, we will have a problem set based on the material for that week. These problems will be posted as a PDF in the Canvas modules. They will be due on Monday in class. These sets include problem-solving and critical-thinking exercises that rely on your conceptual understanding of the material and related skills.
Problem Sets Submission Guidelines:
- Put your full name in the top right corner of the page.
- Even though you are encouraged to work with one another, write up your own solutions independently. NEVER copy anyone's work for any reason!
- Label each problem clearly – use a highlighter to mark the number, or put a box around it so it's easy to find. You don’t need to write the question, just fully-worked out solutions.
- Do the problems in order, showing all work neatly, clearly and completely.
- Don't squeeze a lot of work into small amount of space. Leave some white space around the problem for brief comments.
- Write your solutions out in full detail, as modeled in the textbook and in lectures. It’s important to write up problem sets neatly, showing all work, and explaining the logic behind each step. You should also draw well-labeled and appropriately scaled diagrams and graphs when they are helpful in understanding your solution.
- Staple the problem set together.
- Problem sets are due on Mondays in class. You can submit them up on Canvas to 24 hours late for 10% penalty. If you submit on Canvas, submit a single PDF document, NOT multiple images. Use the Notes app on iOS, or a scanning app such as Adobe Scan or Genius Scan (both free), or something else from among many options. Be sure to check that your scanned copy is legible. I will need to be able to read it for you to get points.
Joint Discussions:
There will be six discussion prompts that you will need to respond to spread throughout the quarter. These are worth points for both of the classes in the learning community, so be sure to complete them. Please follow Discussion Guidelines (see under 'Getting Started' in Modules) when completing them.
Joint Assignments:
There will be two joint assignments. These will be programming assignments in which you work with calculus concepts. You will get credit in both of the classes for these assignments.
Participation:
You are expected to actively participate in class. I expect you to:
- Ask and answer questions during during class.
- Participate actively in any group work during class.
- Outside of class, post and answer questions in 'Questions Discussion Board' (1 point extra credit for posting or answering a question).
Quizzes:
We will have eight 20-minute quizzes (see the calendar at the bottom of this page). They will be based on previous week's material.
NOTE: In general, there will be NO MAKEUPS for any of the quizzes, and your lowest quiz score will be dropped. However, if you need to quarantine due to a COVID infection, we will find a solution. As mentioned above under 'Covid Information', if you become infected with Covid during the quarter, you must fill out the Student Self-Reporting Form at https://www.deanza.edu/covid/student-form.html and inform your instructor.
Exams:
We will have two midterm exams, and a cumulative final exam. See the calendar for the dates.
NOTE: In general, if you miss a midterm exam, your grade will be replaced by the final exam. In case of an unforeseen emergency or illness due to which you cannot take an exam, please get in touch with me immediately, and we can work with you to find a solution. If you need to quarantine due to a COVID infection, as mentioned above under 'Covid Information', you must fill out the Student Self-Reporting Form at https://www.deanza.edu/covid/student-form.html and inform your instructor.
NOTE: In case of an unforeseen emergency or illness due to which you cannot take the final exam, inform me immediately. If you are unable to take the final exam during finals week, may result in an ‘Incomplete’ (provided that you supply me with a sufficient proof).
Evaluation:
Your final grade will be computed as follows:
Category |
|
Points |
---|---|---|
Homework |
27 @ 5 points each |
135 |
Problem Sets |
11 @ 10 points each |
110 |
Joint Discussions |
6 @ 10 points each |
60 |
Joint Assignments |
2 @ 15 points each |
30 |
Participation |
20 |
|
Quizzes |
Top 7 @ 15 points each |
105 |
Exams |
2 @ 70 points each |
140 |
Final Exam |
|
100 |
TOTAL |
|
700 |
Overall percentage |
Your grade will be at least |
---|---|
97% or greater |
A+ |
92% to less than 97% |
A |
89% to less than 92% |
A- |
87% to less than 89% |
B+ |
82% to less than 87% |
B |
79% to less than 82% |
B- |
75% to less than 79% |
C+ |
70% to less than 75% |
C |
55% to less than 70% |
D |
less than 55% |
F |
Help:
- Your classmates are a great resource. Ask for help and provide help to others either within your current groups or using the Questions Discussion Board (worth extra credit)!
- Message me through Canvas with questions or attend office hours. For online homework questions, message me by using ‘Message Instructor’ button in the problem.
- Ask questions during class.
- Get help from De Anza’s Math Student Success Center. See details at http://deanza.edu/studentsuccess/.
- Use NetTutor for help through Canvas.
- If you need any technical help with MyPortal, Canvas, etc., visit https://www.deanza.edu/quarter-guide/#Learning.
- On the link above, you will also find links to services with some specific to this time, such as for help with tech equipment, food and financial assistance, health services, resources for undocumented students, etc.
Academic Integrity:
All students are expected to exercise academic integrity throughout the term. Any instances of cheating or plagiarism will result in disciplinary action, including at minimum, 0 on the assignment or assessment, but may include recommendation for dismissal. You are encouraged to work together on homework but simply copying down from someone else’s work is wrong! Cheating on a quiz or an exam is more serious. It will certainly result in getting a 0 on the assessment, but could result in getting an ‘F’ in the course or dismissal from the class. Also, each incident of cheating on an assessment will be reported to the Dean of the Physical Science, Mathematics and Engineering Division and the Office of Student Development. Please see the De Anza College's page on Academic Integrity: https://www.deanza.edu/policies/academic_integrity.html. Check out this video produced by De Anza College on this topic: https://www.youtube.com/watch?v=4unoOe-I0eY.
A note about Discord: We encourage you to ask and answer questions amongst yourselves to strengthen your understanding of topics in this class using any medium, including Canvas discussion boards and Discord. However, be careful that you don’t compromise your academic integrity or entice others to compromise theirs! For example, never answer a classmate’s question about a homework problem by providing a complete, fully worked out solution! There are at least two reasons for this: 1) It would create too much of a temptation to copy - not necessarily for the original question poster but other classmates; and 2) Your solution could be incorrect, in which case you would be hindering the class’ understanding of the involved concepts and skills. It goes without saying that you should also never discuss anything during a quiz or an exam on Discord or any medium.
Disability Notice:
If you feel that you may need an accommodation based on the impact of a disability, please contact me privately to discuss your specific needs. Also, please contact Disability Support Programs & Services through https://www.deanza.edu/dsps/ for information or questions about eligibility, services and accommodations for physical, psychological or learning disabilities.
Tips for Success in this Class:
- In any math class, and especially this one, your goal should be to get ownership of the material. This means that not only you understand the concepts, and can demonstrate the skills, but also that you can explain them to someone who doesn’t have them. The material covered in this class is essential for the next courses in the series. This is not a “learn and forget” class; rather, it's a “learn well so you can succeed going forward” class. All of this is also true for your CIS class.
- Here are our recommendations for succeeding in the learning community in the online setting:
-
- Do some work for the class every day! This includes homework, reviewing notes, working on problem sets, studying for exams, or even reading ahead.
- Stay on schedule. Be disciplined about staying on top of the class. Don't allow yourself to fall behind! Always keep your notes up-to-date, clearing up anything confusing along the way. Writing aids memory so you are more likely to retain the material. The quarter passes by faster than expected – especially if you’re new to the quarter system – and it’s very hard to catch up!
- Be fully present in every class. Allowing yourself to occasionally miss class or multi-task during class is a slippery slope. It can easily turn into a bad habit that will likely cost you the grade you want in this class.
- Come to the class prepared and ready to contribute! Be sure to come to class with all the necessary materials, ready to participate and contribute.
- Invite productive struggle. To succeed in any STEM class, you must do your work diligently. We are aware that there are many sources that can provide you the answers and even the worked solutions. However, productive struggle is essential in learning and retaining the material, and in gaining the confidence in your problem-solving ability. You must sweat through the problems, especially the ones that challenge you.
- Form a study group. Exchange your contact information with at least 3 other people in the class community. This will come in handy if you need to miss a class, if you want to work with someone on an assignment, or while studying for an exam. This is an essential college skill, especially for STEM students.
- Turn everything in! Every homework, every discussion, every problem set. Don’t allow yourself to skip anything!
- Prepare well for assessments. Preparing well for quizzes will help you retain the material for exams. Preparing well for exams will help you retain this material for when you need it for the classes that come next in the sequence. If you are not prepared well for quizzes and exams, you will likely NOT be able to finish them!
- Don't wait to ask for help! Whether it’s to your classmates or me, get your questions answered in a timely manner. If you're dealing with an unusual or an unexpected challenge, please let us know so we can work with you to keep the class manageable, if possible.
- Practice personal discipline! Succeeding in a college class requires personal discipline. This can be especially tough when first starting out in college. It’s quite easy to put things off until later, skip some course activities, distract yourself with social media and other apps while doing class activities, etc. A life skill that is good practice this quarter: Be mindful of what you are giving your attention to. Think carefully about your priorities, and give the most time and attention to your biggest priorities. When working on your homework, turn off all notifications on your devices, silence your phone and keep it out of reach. Calculus requires focus and it will often challenge you. Don’t put off working on something because it's hard or unpleasant. Learning anything that’s worthwhile requires a sustained effort! And that practice is what ultimately leads to true personal growth.
Course Calendar:
Here's is the PDF of the calendar: Math1A-calendar-Fall2022-LinC-1.pdf