Course Objectives

At the completion of the course the student will be able to:

1. Compute the limit of a function at a real number
2. Determine if a function is continuous at a real number
3. Find the derivative of a function as a limit
4. Find the equation of a tangent line to a function
5. Compute derivatives using differentiation formulas
6. Use differentiation to solve applications such as related rate problems and optimization problems
7. Use implicit differentiation
8. Graph functions using methods of calculus
9. Evaluate a definite integral as a limit
10. Evaluate integrals using the Fundamental Theorem of Calculus
11. Apply integration to find area

Student Learning Outcomes

1. Students will be able to evaluate limits of elementary functions using numerical, graphical, and algebraicmethods
2. Students will be able to compute derivatives of elementary functions using the basic differentiation rules
3. Students will be able to interpret the derivative as a rate of change, and apply derivatives to problemsinvolving related rates, curve sketching, and optimization
4. Students will be able to interpret integrals using geometry and area, and as an infinite sum. Students willbe able to find antiderivatives and apply the Fundamental Theorem of Calculus to solve integrals

Course Content

• Definition and computation of limits using numerical, graphical, and algebraic approaches
• Continuity and differentiability of functions
• Derivative as a limit
• Interpretation of the derivative as slope of tangent line, a rate of change
• Differentiation formulas, constants, power rule, product rule, quotient rule and chain rule
• Derivatives of transcendental functions such as trigonometric, exponential or logarithmic
• Implicit differentiation with applications, and differentiation of inverse functions
• Higher-order derivatives
• Graphing functions using first and second derivatives, concavity and asymptotes
• Maximum and minimum values, and optimization
• Mean Value Theorem
• Antiderivatives and indefinite integrals
• Area under a curve
• Definite integral
• Reimann sum
• Properties of the integral
• Fundamental Theorem of Calculus
• Integration by substitution
• Indeterminate forms and L'Hopital's Rule

Syllabus Disclaimer

A syllabus is not a contract between the instructor and student, but rather a guide to course procedures on attendance, requirements, grading, objectives, class topics and assignment schedules. The instructor reserves the right to amend the syllabus when circumstances dictate or an unusual opportunity for student learning arises. Circumstances beyond the instructor's control (illness, emergencies, etc.) may cause the instructor to change the schedule. Students will be notified.

Missed Exams

Students are required to participate in all course Exams. If an Exam is missed, a score of 0% will be recorded and Corrections are required for each question on the exam.

• Missed Practice Exams: complete all Corrections from the missed Practice Exam
• Missed Exam: complete all Corrections from the missed Exam as well as the Practice Exam

After a score of "Complete" is earned on the Corrections, and missing assignments have been made up, then students are eligible to participate in a make-up Exam.

Late Assignments

• Knewton assignments may be turned in late: 1% late penalty per day late
• Discussions may be turned in late up to 1 week late: 50% credit
• Corrections turned in late: 10% late penalty per day late
• Peer Reviews turned in late: 10% late penalty per day late

Attendance and Study Time

Our course is 5 units and requires a minimum of 240 total hours of attendance, lecture, study, and homework, which works out to be 15 hours per week for this class alone. Make sure you have time in your schedule to allow for this time each week so you can be successful in this course.

• To succeed in this class, it is recommended to dedicate a minimum of 1.5 hours to homework assignments and study each day of the week including weekends
• If you are not able to complete math homework assignments or study on certain days of the week, it is recommended to increase your daily homework/study time so that your weekly total is at least 10 hours

Drops for Attendance

Students may be dropped by the instructor for the following:

• No-show on the first day of school
• After missing more than 10 attendance hours

*If you are unable to log in on or complete the syllabus on the first day, but you still want to take the course, be sure to contact your instructor as soon as possible, as instructors are required to drop No-Shows from the course.

More information available on the Attendance page.

Discussion Board Netiquette

• Read the entire discussion prompt and respond accordingly
• Keep the post focused on the topic; relate to the current course content
• Be considerate and supportive when responding to classmates' posts
• Use respectful, appropriate, professional, and scholarly language
• If you disagree or find an error in a someone's post, respond in a scholarly manner
• Proofread and edit before posting as posts may not be edited after posting
• Be an active participant: post several times per discussion
• Include all required attachments, images and links in the same post
• Ensure attachments and images are upright and readable
• Initial posts should be written in at least 5 college-level and complete sentences

Communication

Feel free to contact your instructor anytime 24/7. Typically expect a 24 hour response time for Text messages and 48 hours for all other communications:

• Course Information Desk
• Email
• Canvas Messages
• Submission Comments

In some cases your instructor may be away from the phone/computer throughout the weekend, and there may be a longer turnaround time. When this happens, all messages received over the weekend will typically be answered on Monday and Tuesday, so you should expect to receive a response by Tuesday at the latest.

Student Code of Conduct

Contra Costa College students are expected to maintain a high quality of academic work and personal conduct. All students have the right to expect a high level of educational programs and related services. Any student exhibiting unethical or disruptive behavior in a class will be subject to disciplinary action, whether the disruption occurs in person, on Canvas, on Zoom, or any other online environment related to the class.

Students failing to comply with the stated classroom expectations will be temporarily removed from the class. Students may rejoin the class immediately once a formal email acknowledging the classroom rules is written and delivered to the instructor. This may be done immediately so as to not miss class. Future instances may result in referral to the Dean or College President.

More information available at Student Code of Conduct

Course Navigation

Need help learning how to navigate this course?

• Visit the Course Navigation page, which outlines the course
• Questions? Please post at the Course Information Desk

Tutoring

CCC offers numerous tutoring opportunities through the Campus-Wide Tutoring department. Register for the free course MATH 875N to participate in tutoring. Please DO NOT wait! Ask for help right away. We are here to support you in your academic journey!

Spring 2021 - MATH 875N - Section #3409

• MATH 875N is FREE/does not cost anything
• MATH 875N does not show up on your transcript
• MATH 875N gets you access to all tutoring!

More Tutoring details available at the Tutoring page

Student Services

Check out our Student Services department, which is dedicated to helping students succeed in college. Services include Basic Needs, Career Services, Counseling, Disability Services, EOPS, Transfer Center, Veterans Services, and more!

Campus Resource Guide

• Whether you are experiencing financial hardship, food and housing insecurity, or any related challenges, CCC has resources available.
• Check out the Campus Resource Guide for basic needs, academic support, and wellness.

Disabled Students' Programs and Services (DSPS)

The DSPS Office is committed to helping students succeed in college, regardless of disability. Contact them today at (510) 215-3969 or dspsoffice@contracosta.edu to find out if you qualify for any of their helpful services such as priority registration, getting more time to take tests, note-taking services, recording devices, equipment loans, and more. Many students qualify! Visit the DSPS Office website to check their eligibility requirements and apply for services. We want to make sure you have everything you need to be successful in college! Please don't wait until you fall behind in a course to reach out. The sooner you contact them, the sooner they can help!

STEM Center

Interested in majoring in STEM (science, technology, engineering, or mathematics)?

The CCC STEM Center is here to support you on your educational journey with free resources and programs:

• STEM Counseling and Transfer Support
• STEM Major and Career Exploration
• STEM tutoring and Student Success Coaching
• College and Industry Field Trips
• Loaner Textbooks, Laptops, and Calculators
• Student Leadership and Internships

Contact the STEM Center at (510) 215-4815 or adelantestem@contracosta.edu

Math Department

If you need to get in touch with the math department, feel free to reach out to the department chair or dean:

• Department Chair
• Sherry Sharufa ssharufa@contracosta.edu
• Trung Nguyen tnguyen@contracosta.edu
• Dean
• René Sporer rsporer@contracosta.edu

Online Learning Readiness

The State of California's Online Education Initiative (OEI) has developed an innovative set of interactive tutorials and tools, which may increase your chances of success in any online course. OEI Online Learning Readiness

Technical Support

Found on the Technical Support page, which is also linked on the  Home page.

• Required Purchase: Knewton online assignment system approx. $10/month or $40/semester
• Knewton offers complimentary access for 14 days while students are waiting for financial aid or other finances to be in order
• Plan to pay for Knewton within 2 weeks: instructors do not have the authority to extend the free trial period

Modern Updated Web Browsers:

• Web browsers are software tools and may display Canvas pages differently throughout the course
• It is a security risk to use outdated web browsers and unreliable to use only the default web browser on your computer, such as Safari, Internet Explorer, or Microsoft Edge
• To ensure you have the best access to the course content, you must maintain the most updated versions of both Chrome and Firefox

Chrome:

Download Chrome

Update Chrome

Firefox:

Download Firefox

Update Firefox