TTH 1:00 pm - 2:40 pm in room D214
Introductory calculus will be applied to problems in business and the social sciences. Emphasis will be on applications of basic calculus concepts rather than proofs. Topics include limits; techniques of differentiation applied to polynomial, rational, exponential, and logarithmic functions; partial derivatives and applications; finding the minima and maxima of functions; and integration techniques such as substitution and integration by parts. IAI: M1 900-B
MATH 1814 with a grade of C or better; or appropriate assessment scores
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
Introductory calculus will be applied to problems in business and the social sciences. Emphasis will be on applications of basic calculus concepts rather than proofs. Topics include limits; techniques of differentiation applied to polynomial, rational, exponential, and logarithmic functions; partial derivatives and applications; finding the minima and maxima of functions; and integration techniques such as substitution and integration by parts. IAI: M1 900B
MATH 1814 with a grade of C or better or appropriate assessment score - Must be completed prior to taking this course.
Course Outcomes: At the end of this course, students will be able to:
1. Find limits numerically, graphically, and algebraically.
2. Apply the patterns of differentiation to find the derivative of a given function.
3. Solve basic differentiation problems, including higher-order derivatives and finding extrema within business and social science contexts.
4. Compute integrals using various methods,s including substitution, parts, and tables.
5. Solve integration problems, including finding area and approximate integration. Apply the concepts of limits, derivatives, and integrals to solve problems involving functions unique to business and social science applications and interpret the results.
Faculty Contact Information
MW: 8 am - 9 am
TTH: 8 am - 9 am
Jorge R. Gavillan, M.S.
email: jgavillan@kcc.edu
Course Information
At the end of this course, students will be able to:
- Find limits numerically, graphically, and algebraically.
- Apply the patterns of differentiation to find the derivative of a given function.
- Solve basic differentiation problems including higher-order derivatives and finding extrema within business and social science contexts.
- Compute integrals using various methods including substitution, parts, and tables.
- Solve integration problems, including finding area and approximate integration.
- Apply the concepts of limits, derivatives and integrals to solve problems involving functions unique to business and social science applications and interpret the results.
- Finding domain of functions
- Piecewise-defined functions
- Graphs of functions
- Applications using revenue/cost, equilibrium point, and break-even values
- First and second derivative tests
- Slopes of lines and curves, and their applications including marginal profit/cost/revenue functions
- Limits
- Continuity
- Some rules of derivatives
- Curve sketching
- Optimization and applications including maximizing/minimizing profit, revenue, cost functions
- Additional rules of differentiation including product, quotient, chain, and implicit rules
- Applications using related rates, including changes in production relation to changes in revenue/cost/profit
- Exponential and logarithmic derivatives and their graphs
- Applications of the exponential and natural logarithmic functions, including depreciation/appreciation of assets, investment growth/decay, medicinal dosage decay
- Finite integrals and area under curves, including finding profit/cost/revenue functions from marginals
- Integration by parts, substitution, and the use of tables
- Partial derivatives and their applications, including maxima and minima of functions in more than one variable
Calculus and Its Applications , Goldstein, Lay, Schneider, Asmar, 15/e, Pearson (optional). MyLab Access Code for homework is located in the RedShelf link under Modules in Canvas. Graphing Calculator, TI-84 preferred. Graphing calculators are available for borrowing for the semester in the Student Success Center (Library). You will need a graphing calculator to be successful in this course.
Category Percentage of final grade
Pass Quiz 5%
Homework 17%
Quizzes 17%
Midterm 29%
Final 32%
Liberal Arts & Sciences
Dean, Jennifer Huggins; 815-802-8484; R310; jhuggins@kcc.edu; Division Office- W102; 815-802-8700
Course Policies
Attendance: Attendance is mandatory and recorded daily. To be successful in this course, a student must attend class every day. You are responsible for work missed due to absence. You must contact your instructor before class starts to be marked as excused. If you come in after class has started, you may be marked absent. Leaving class early will also be noted. Attendance will count as a small portion of your grade, combined with sporadic in-class activities. 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. Cell Phones and Other Distractions: Please refrain from using cell phones for calls, texting, etc while in class. If it is an emergency, please leave the classroom to answer a call or text. 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 assessment will receive a grade of zero on that assessment after the first occurrence and an F for the entire course after the second occurrence. Calculator Usage: Graphing calculators will be required throughout this course, except for specific items chosen by your instructor. You cannot share calculators during quizzes or exams. More specific instructions about allowed calculators will be given in class. Cell phones are not permitted for calculator usage. Use of cell phone calculators or other calculators without permission is considered cheating and will result in a zero on any assignment or exam on which they are used. Late Work: Math courses build on previous topics, so you must complete homework in a timely manner to be successful in the course. Late homework will be accepted with a penalty each day it is late for up to 7 days after the due date. After 7 days from the due date, late work will no longer be accepted. Extensions to this policy are at the instructor's discretion. Accommodations: Students must have an official letter from the Office of Disability Services for any accommodations. If students have this letter, please send itto 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.
Students are expected to conduct themselves in a respectful, professional, and responsible manner in all classroom and online learning environments. This includes demonstrating courtesy toward instructors and peers, actively engaging in course activities, and contributing to a positive learning atmosphere.
In the classroom, students should arrive on time, be prepared to participate, and minimize distractions by silencing or using electronic devices appropriately. Respectful communication and collaboration are expected at all times.
In online and remote settings, students are expected to communicate professionally in discussion boards, emails, and virtual meetings. Written communication should be clear, respectful, and appropriate for an academic environment. Students should adhere to course deadlines, follow netiquette guidelines, and respect diverse perspectives.
Disruptive, disrespectful, or inappropriate behavior, whether in person or online, may result in removal from class activities, academic consequences, or referral to the appropriate college offices in accordance with institutional policies.
| Date | Day | Class Meeting? | Topic | Homework / Assessments | Notes |
| January 13, 2026 | Tuesday | Yes | Introduction & 0.1 | Chapter 0: Functions | |
| January 15, 2026 | Thursday | Yes | 0.2 - 0.3 | ||
| January 20, 2026 | Tuesday | Yes | 0.4 - 0.5 | ||
| January 22, 2026 | Thursday | Yes | 0.6 | ||
| January 27, 2026 | Tuesday | Yes | 1.1 - 1.2 | Chapter 1: The Derivative | |
| January 29, 2026 | Thursday | Yes | 1.3 - 1.4 | ||
| February 03, 2026 | Tuesday | Yes | 1.5 - 1.6 | ||
| February 05, 2026 | Thursday | Yes | 1.7 - 1.8 | ||
| February 10, 2026 | Tuesday | Yes | 2.1 - 2.2 | Chapter 2: Applications of the Derivative | |
| February 12, 2026 | Thursday | Yes | 2.3 - 2.4 | ||
| February 17, 2026 | Tuesday | Yes | 2.5 | ||
| February 19, 2026 | Thursday | Yes | 2.6 | ||
| February 24, 2026 | Tuesday | Yes | 2.7 | ||
| February 26, 2026 | Thursday | Yes | 3.1 | Chapter 3: Techniques of Differentiation | |
| March 03, 2026 | Tuesday | Yes | 3.2 | ||
| March 05, 2026 | Thursday | Yes | 3.3 | ||
| March 10, 2026 | Tuesday | No | Spring Break – No Classes (College open until 5 p.m.) | ||
| March 12, 2026 | Thursday | No | Spring Break – No Classes (College open until 5 p.m.) | ||
| March 17, 2026 | Tuesday | Yes | Midterm | Midterm Due | |
| March 19, 2026 | Thursday | Yes | 4.1 - 4.2 | Chapter 4: The Exponential and Natural Logarithm Functions | |
| March 24, 2026 | Tuesday | Yes | 4.3 | ||
| March 26, 2026 | Thursday | Yes | 4.4 | ||
| March 31, 2026 | Tuesday | Yes | 4.5 | ||
| April 02, 2026 | Thursday | Yes | 4.6 | ||
| April 07, 2026 | Tuesday | Yes | 5.1 | Chapter 5: Applications of the Exponential and Natural Logarithm Functions | |
| April 09, 2026 | Thursday | Yes | 5.2 | ||
| April 14, 2026 | Tuesday | Yes | 6.1 | Chapter 6: The Definite Integral | |
| April 16, 2026 | Thursday | Yes | 6.2 | ||
| April 21, 2026 | Tuesday | Yes | 6.3 | ||
| April 23, 2026 | Thursday | Yes | 9.1 | Chapter 9: Techniques of Integration | |
| April 28, 2026 | Tuesday | Yes | 9.2 | ||
| April 30, 2026 | Thursday | Yes | 7.1 | Chapter 7: Functions of Several Variables | |
| May 05, 2026 | Tuesday | Yes | 7.2 | ||
| May 07, 2026 | Thursday | Yes | 7.3 & Final Review | ||
| May 12, 2026 | Tuesday | Yes | Final | ||
| May 14, 2026 | Thursday | Yes | Final | Final Due |
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.