12-1 MTWThF
Derivatives and integrals are carefully developed as applications of the limit concept. These ideas are extended to algebraic, trigonometric, and logarithmic functions. A strong emphasis is given to applications in physics, geometry, and other sciences.
Course Alignment
General Education Outcomes are the knowledge, skills, abilities, attitudes, and behaviors that students are expected to develop as a result of their overall experiences with any aspect of the college, including courses, programs, and student services, both inside and outside of the classroom. The General Education Outcomes specifically learned in this course are:
- Critical Thinking
Calculus and Analytic Geometry I is used in several fields, either as a stand-alone class or as a prerequisite for upcoming courses. These fields can include but are not limited to, mathematics, engineering, physics, chemistry, and business
Faculty Contact Information
11-12 MTWThF or by appointment as needed
Email: aharwood@kcc.edu, This is the best way to reach me.
Course Information
At the end of this course, students will be able to:
- Solve limit problems using a wide variety of techniques.
- Evaluate derivatives using power, product, quotient, chain rules, and implicit differentiation.
- Find critical and inflections points and be able to graph polynomial and rational functions.
- Evaluate indefinite integrals using basic rules and integration by substitution.
- Calculate areas with definite integrals.
- Find derivatives and integrals of transcendental functions.
- Use derivatives and integrals in applications involving, but not limited to, rates of change, optimization, volumes, and centers of mass.
- Review of Functions
- Representing Functions
- Inverse, Exponential, and Logarithmic Functions
- Trigonometric Functions and Their Inverses
- The Idea of Limits
- Definitions of Limits
- Techniques for Computing Limits
- Infinite Limits
- Limits at Infinity
- Continuity
- Introducing the Derivative
- Working with Derivatives
- Rules of Differentiation
- The Product and Quotient Rules
- Derivatives of Trigonometric Functions
- Derivatives as Rates of Change
- The Chain Rule
- Implicit Differentiation
- Derivatives of Logarithmic and Exponential Functions
- Derivatives of Inverse Trigonometric Functions
- Related Rates
- Maxima and Minima
- What Derivatives Tell Us
- Graphing Functions
- Optimization Problems
- Linear Approximations and Differentials
- Mean Value Theorem
- Antiderivatives
- Approximating Areas under Curves
- Definite Integrals
- Fundamental Theorem of Calculus
- Working with Integrals
- Substitution Rule
- Velocity and Net Change
- Regions Between Curves
- Volume by Slicing
- Volume by Shells
- Length of Curves
- Physical Applications
Calculus Early Transcendentals 3rd Edition Briggs, Cochran, Gillett and Schulz.. Pearson Publishing. The same text is used for the entire Calculus sequence. Graphing Calculator—TI-84 preferred--Available to borrow from the library on the 1st floor for the entire semester, for free. Will need to be returned to the library at the end of the semester.
Homework
Homework is an essential part of any math class. The homework for this class will be given via MyMathLab. Each section of homework is worth 5 points. You may attempt each homework problem an unlimited amount of times with only the highest of the scores counting towards your grade (additional practice is also available). HW will usually be due on the same day as the assessment that covers that section. When you registered for this course, you were enrolled in the MyMathLab course.
There may also be paper homework. Points for these will be determined as the class progresses and some of these may not be turned in. These may be done in groups, but each person should be responsible for their own work and everyone will be required to turn in their own papers.
Quizzes/Exams
Quizzes will be given most weeks, always during class periods. They will be 20 points each and the lowest quiz will be dropped.
There will be exams always during class periods. They will consist of short answer questions that cover the material presented in class and/or homework and possibly some multiple choice questions. There are no exam makeups.
Final Exam
There will be a comprehensive final exam given the 16th week of the semester. There are no makeup opportunities for the final exam. The final exam represents 20% of your final grade.
Grading Scale by percentage
90-100 A
80-89 B
70-79 C
60-69 D
Below 60 F
Liberal Arts & Sciences
Dean, Jennifer Huggins; 815-802-8484; R310; jhuggins@kcc.edu; Division Office- W102; 815-802-8700
Attendance
Attendance is mandatory. To be successful in this course, a student must attend class every day. You are responsible for work missed due to absence. There will be no distinction between “excused” and “unexcused” absences. Attendance will not be counted for a grade, but will factor into your overall success in the class.
**Note: Math can be taught in the classroom, but can only be learned through practice, critical thinking, and more practice. Please ask questions to help further your understanding, either in class or during office hours. Calculus requires your knowledge of algebraic procedures but also creative, critical thinking that needs to be developed. You are expected to be in attendance during each class period.
Cell Phones, Other Distractions
Please refrain from using cell phones for calls, texting, etc… while in class. If it is an emergency, please leave the classroom. Using cell phones or other electronic devices on or during the taking of tests/quizzes will be considered cheating and will be subject to the guidelines below.
Cheating/Plagiarizing
Students found cheating on any assessments will earn a grade of zero on the assessment after the first occurrence and a grade of F for the entire course after the second occurrence. Using AI tools, such as ChatGPT and photomath, will be considered cheating.
Calculator Usage
Graphing calculators will be required throughout this course, except on specific items chosen by your instructor. You cannot share calculators during quizzes or exams. You can use cell phone calculators on non-assessments (regular class). More specific instructions about allowed calculators will be given in class. There are TI-84 calculators available in the library to borrow for the semester, for free.
As in all college courses, respect and integrity are the minimum requirements to have a safe environment for everyone involved. If issues occur, please discuss them with your professor.
Course Calendar--subject to change
| Week 1 | Review of Functions and Trigonometry |
| Weeks 1-3 | 2.1 The Idea of Limits 2.2 Definitions of Limits 2.3 Techniques for Computing Limits 2.4 Infinite Limits 2.5 Limits at Infinity 2.6 Continuity Exam Chapter 2 |
| Weeks 4-7 | 3.1 Introducing the Derivative 3.5 Derivatives of Trigonometric Functions |
| Weeks 8-10 | 4.1 Maxima and Minima 4.2 Mean Value Theorem 4.3 What Derivatives Tell Us 4.4 Graphing Functions 4.5 Optimization Problems 4.6 Linear Approximations and Differentials Exam Chapter 4 |
| Weeks 11-13 | 5.1 Approximating Areas under Curves 5.2 Defi nite Integrals 5.3 Fundamental Theorem of Calculus 5.4 Working with Integrals 5.5 Substitution Rule Exam Chapter 5 |
| Weeks 13-16 | 6.1 Velocity and Net Change 6.2 Regions Between Curves 6.3 Volume by Slicing 6.4 Volume by Shells 6.5 Length of Curves 6.7 Physical Applications Exam Chapter 6 First Part of Final Exam (Chapters 5 and 6) |
| Week 17 | Second Part of Final Exam (Chapters 1-4) |
College Policies, Resources and Supports
For information related to the Student Code of Conduct Policy, Withdrawal Policy, Email Policy, and Non- Attendance/Non-Participation Policy, please review the college’s Code of Campus Affairs and Regulations webpage, which can be found at catalog.kcc.edu under the Academic Regulations & Conduct Guide.
KCC offers various academic and personal resources for all students. Many services are offered virtually, as well as in person. Please visit Student Resources - Kankakee Community College to access student resources services such as:
- Clubs and organizations
- Counseling and referral services
- Office of disability services
- Student complaint policy
- Transfer services
- Tutoring services, etc.
The materials on this course are only for the use of students enrolled in this course for purposes associated with this course. Further information regarding KCC's copyright policy is available at https://kcc.libguides.com/copyright.
|Course syllabus/calendar is subject to change.