MTWRF 10:00am - 10:50am in R305 from 1/12/26 - 5/14/26
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. IAI: MTH 901 Mathematics. IAI: M1 900-1.
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, physics, chemistry, engineering, and business.
Faculty Contact Information
MW 1pm – 2pm, TTH 11am – 1pm, 2:30pm – 3:30pm, F 11am – 12pm in R303
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 at KCC.
MyMathLab access code – included in course fees and also involves eText.
Graphing Calculator – TI-84 preferred. Note that you can borrow a TI-84 from the KCC library for free for the entire semester.
This course will be evaluated as follows:
Homework: 25%
Quizzes: 25%
Exams: 30%
Final Exam: 20%
Grading Scale by Percentage:
90 – 100 A
80 – 89 B
70 – 79 C
60 – 69 D
Below 60 F
Homework:
Homework will be assigned and completed using MyLab in the link provided on Canvas. The homework in My Lab will focus on math skills and as many opportunities as necessary are granted to achieve full credit, thus, persistence is the key. Homework is your opportunity to practice and master the material. Homework is due on the date and time listed in My Lab and is completed on your own time. Extensions may be given at the instructor’s discretion.
Quizzes:
There will be numerous quizzes given throughout the semester. The quizzes will be given in class and the lowest quiz score will be dropped at the end of the semester. Each quiz is worth 20 points. Makeup quizzes will be allowed at the discretion of the instructor.
Exams:
There will be four or five exams given throughout the semester, always during class periods on paper. They will consist of short answer questions that cover the material presented in class and/or homework and possibly some multiple choice questions. An exam is worth 100 points.
Each student can make up one exam per semester. In order to make up an exam, you will need to inform your instructor of your desire to make up the exam before the exam is given. Notification to your instructor can be made in-person or by email. Makeup exams will take place in the Testing Center (D218) and will be subject to the Testing Center’s schedule. Be sure to bring a valid student ID in order to make up any exams.
Testing Center website: https://www.kcc.edu/academics/exam-makeups/
Exams will not be returned to the class until all makeup exams are finished and graded.
Final Exam:
The final exam is broken into two parts. The first part will cover chapters 5 and 6 and it will be held on the final day of class, Friday, May 8th from 10am – 10:50am (normal class time) and written on paper. You will be allowed a cheat sheet, one side of a normal 8.5” by 11” piece of paper, where you can write any notes that you would like to use during the exam. A formula sheet will be provided during the exam as well which you will be able to see the week before the exam.
The second part will cover chapters 1 – 4 and it will be held during the normal final exam time during week 17 which is Monday, May 11th from 10am – 11:50am in the normal classroom. You will be allowed a new cheat sheet, both sides of a normal 8.5” by 11” piece of paper, where you can write any notes that you would like to use during the exam. A formula sheet will be provided during the exam as well which you will be able to see the week before the exam.
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 every scheduled class. You are responsible for work missed due to absence. You must contact your instructor before class has started to be marked as excused. If you come in after class has started, you may be marked absent. Leaving early from class will also be noted.
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 student support hours.
Cell Phones or Other Distractions:
Please try to refrain from using cell phones for call, texting, etc while in class. If it is an emergency, please take calls outside 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 academic integrity guidelines below.
You may use the calculator on your cell phone on non-quiz/exam days during class if you do not have a calculator. A separate non-cell phone calculator must be used on quiz/exam days.
Accommodations:
Students must have an official letter from the Office of Disability Services for any accommodations. If students have this letter, please send to the instructor immediately. Accommodations can only be in effect if given to the instructor at least 24 hours before an assessment. Accommodations cannot be applied after a student has completed an assessment.
Artificial Intelligence:
Artificial intelligence (AI) is a resource that you can use to help you learn concepts. If you are using AI to complete all of your homework for you, then you are not utilizing it as a resource, but as a crutch. You will not learn anything from this course if you do not struggle through the homework until you understand what you are doing.
If the instructor believes that you are using AI for solutions to homework questions, then you get a warning to not continue using AI to find answers. If you continue using AI, then you will receive a zero for the assignment or possibly receive a failing grade in the course.
Academic Integrity:
Cheating will not be tolerated. Infractions will follow the Student Code of Conduct and may result in a zero in the assignment/assessment and/or removal from the class.
| Week and Dates | Topics | Assignments Due or Important Dates |
Week 1: Monday, 1/12 – Friday, 1/16 | Review Section 2.1: The Idea of Limits Section 2.2: Definition of Limits | Hand out prerequisite review and survey |
Week 2: Monday, 1/19 – Friday, 1/23 | Section 2.3: Techniques for Computing Limits Section 2.4: Infinite Limits | Monday, 1/19 – No class and college closed for Dr. Martin Luther King Jr. Day Chapter 1 Review homework due Monday, 1/19 by 11:59PM Prerequisite Review Sheet and Survey due Tuesday, 1/20 during class Section 2.1 - 2.3 homework due Thursday, 1/22 by 11:59PM Quiz 1 on Friday, 1/23 over sections 2.1, 2.2, 2.3 |
Week 3: Monday, 1/26 – Friday, 1/30 | Section 2.5: Limits at Infinity Section 2.6: Continuity | Homework for 2.4 - 2.6 due by Thursday, 1/29 by 11:59PM Chapter 2 Exam on Friday, 1/30 |
Week 4: Monday, 2/2 – Friday, 2/6 | Section 3.1: Introducing the Derivative Section 3.2: Working with Derivatives Section 3.3: Rules of Differentiation | Chapter 2 Exam Revisions due by Friday, 2/6 during class time |
Week 5: Monday, 2/9 – Friday, 2/13 | Section 3.4: The Product and Quotient Rules Section 3.5: Derivatives of Trigonometric Functions | Homework for 3.1 - 3.3 due Thursday, 2/12 by 11:59PM Friday, 2/13 – no class for observation of President’s Day Take Home Quiz over Product and Quotient Rules due Monday, 2/16 |
Week 6: Monday, 2/16 – Friday, 2/20 | Section 3.6: Derivatives as Rates of Change Section 3.7: The Chain Rule Section 3.8: Implicit Differentiation | Homework for 3.4 - 3.7 due Thursday, 2/19 by 11:59PM Quiz 2 on Friday, 2/20 over 3.6 and 3.7 |
Week 7: Monday, 2/23 – Friday, 2/27 | Section 3.9: Derivatives of Logarithmic and Exponential Functions Section 3.10: Derivatives of Inverse Trigonometric Functions Section 3.11: Related Rates | Quiz 3 (group activity in-class) on Friday, 2/27 as chapter 3 review |
Week 8: Monday, 3/2 – Friday, 3/6 | Section 4.1: Maxima and Minima Section 4.2: Mean Value Theorem Section 4.3: What Derivatives Can Tell Us | Homework for 3.8 - 3.11 due Sunday, 3/1 by 11:59PM Chapter 3 Exam on Monday, 3/2 |
Spring Break Monday 3/9 – Friday, 3/13 | No classes this week! | |
Week 9: Monday, 3/16 – Friday, 3/20 | Section 4.4: Graphing Functions Section 4.5: Optimization Problems | Chapter 3 Exam Revisions due Monday, 3/16 during class time Homework on 4.1 - 4.3 due by Thursday, 3/19 Quiz 4 on Friday, 3/20 over sections 4.1 – 4.3 |
Week 10: Monday, 3/23 – Friday, 3/27 | Section 4.6: Linear Approximations and Differentials Section 4.9: Antiderivatives | Thursday, 3/26 – group activity/quiz to review chapter 4 Homework on 4.4 - 4.6, 4.9 due Thursday, 3/26 by 11:59PM Chapter 4 Exam on Friday, 3/27 |
Week 11: Monday, 3/30 – Friday, 4/3 | Section 5.1: Approximating Area under Curves Section 5.2: Definite Integrals | Friday, 4/3 – group activity/quiz with extra practice on 5.1/5.2 Chapter 4 Exam Revisions due Friday, 4/3 during class time |
Week 12: Monday 4/6 – Friday 4/10 | Section 5.3: Fundamental Theorem of Calculus Section 5.4: Working with Integrals | Homework for 5.1 and 5.2 due on Thursday, 4/9 by 11:59PM Quiz 5 on Friday 4/10 over 5.1 and 5.2 |
Week 13: Monday 4/13 – Friday, 4/17 | Section 5.5: Substitution Rule | Thursday, 4/16 – group activity/quiz to review chapter 5 Homework for 5.3, 5.4, 5.5 due Thursday, 4/16 by 11:59PM Chapter 5 Exam on Friday 4/17 |
Week 14: Monday, 4/20 – Friday, 4/24 | Section 6.1: Velocity and Net Change Section 6.2: Regions Between Curves Section 6.3: Volume by Slicing | Chapter 5 Exam Revisions due Friday, 4/24 |
Week 15: Monday, 4/27 – Friday, 5/1 | Section 6.4: Volume by Shells Section 6.5: Length of Curves | Homework for 6.1 - 6.3 due Thursday, 4/30 by 11:59PM Quiz 6 on Friday, 5/1 over 6.1 – 6.3 |
Week 16: Monday, 5/4 – Friday, 5/8 | Section 6.7: Physical Applications | Homework for 6.4, 6.7 due Thursday, 5/7 by 11:59PM Thursday, 5/7 – in-class and group activity to review chapters 5 and 6 Final Exam Part 1 in class on Friday, 5/8 over chapters 5/6 |
Week 17 (Finals Week): Monday, May 10th from 10am – 11:50am | Final Exam Part 2 over 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.