T/Th 8:30 AM - 11:00 AM Arts and Science, R305
Integration techniques, indeterminate forms, improper integrals, and power series expansions are the principal topics of the course. Specific topics include integration (by parts, substitutions, partial fractions, and inverse circular and hyperbolic functions), L'Hopital's rule, convergences tests for infinite series, and Taylor polynomials.
MATH 2515 with a grade of C or better or appropriate advanced placement exam score
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
IAI Number:
M1-9002; MTH902
IAI Title:
College-Level-Calculus II; Calculus II
General Education Outcomes:
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:
Quantitative Reasoning
Faculty Contact Information
Jorge R. Gavillan, M.S.
email: jgavillan@kcc.edu
Course Information
At the end of this course, students will be able to:
- Apply integration by parts, partial fractions, and trigonometric substitutions to solve integral problems.
- Solve indeterminate forms of limit problems using l’Hopital’s Rule.
- Identify and evaluate simple improper integrals
- Identify infinite series as convergent or divergent using the basic tests presented.
- Expand simple analytic functions in a Taylor series.
- Find the derivatives of parabolas, ellipses, and hyperbolas using implicit differentiation.
- Solve simple vector problems involving magnitude, unit vectors, dot, and cross products
- Logarithmic and Exponential Functions Revisited
- Exponential Models
- L'Hopital's Rule
- Hyperbolic Functions
- Basic Approaches
- Integration by Parts
- Trigonometric Integrals
- Trigonometric Substitutions
- Partial Fractions
- Other Integration Strategies
- Numerical Integration
- Improper Integrals
- An Overview
- Sequences
- Infinite Series
- The Divergence and Integral Tests
- Comparison Tests
- Alternating Series Test
- The Ratio and Root Tests
- Choosing a Convergence Test
- Approximating Functions with Polynomials
- Properties of Power Series
- Taylor Series
- Working with Taylor Series
- Vectors in the Plane
- Vectors in Three Dimensions
- Dot Products
- Cross Products
MyMathLab
HW: 10%
Quizzes: 20%
Midterm: 35%
Final: 35%
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. If you come in after class has started, you may be marked absent. Leaving class early will also be noted. Attendance will not count toward your 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 not only knowledge of algebraic procedures but also creative, critical thinking that needs to be developed. You are expected to attend 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 during the taking of tests/quizzes will be considered cheating and will be subject to the guidelines below.
Cheating/Plagiarizing
Students who are 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. 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.
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This is a college-level course, and students are expected to conduct themselves in a professional, respectful, and responsible manner in both the classroom and online learning environment. Because Calculus & Analytic Geometry II is an accelerated summer course, consistent attendance, preparation, and participation are essential for success.
Classroom Expectations
Students are expected to arrive on time, remain for the full class period, and come prepared with completed notes, assigned work, questions, textbook/course materials, and an approved calculator. Attendance is expected at every class meeting, and students are responsible for any work missed due to absence. The syllabus emphasizes that math is learned through “practice, critical thinking, and more practice,” so students should actively participate, ask questions, and engage with problem-solving during class.
Students should remain focused during class and avoid distractions. Cell phones should not be used for texting, calls, social media, or unrelated activities during instruction. If there is an emergency, students should step quietly outside the classroom. Electronic devices may only be used for approved course-related purposes.
Students are expected to treat the instructor and classmates with respect. This includes listening when others are speaking, using appropriate language, participating constructively, and helping maintain a positive learning environment. Disruptive behavior, side conversations, or repeated distractions may interfere with others' learning and are not appropriate in a college classroom.
Online Wednesday Expectations
Wednesday online work is a required part of the course, not an optional activity. Students are expected to log in to Canvas, review the assigned lesson materials, watch required videos, complete notes, participate in online activities when assigned, and submit work by the posted deadlines.
Students should treat the online classroom with the same seriousness as an in-person class. Discussion posts, messages, uploaded assignments, and emails should be respectful, clear, and appropriate for a college course. Students should avoid informal texting language when communicating with the instructor or classmates.
Because this is a hybrid course, the syllabus notes that students are expected to complete outside-of-class work, including watching videos, taking comprehensive notes, and coming to class prepared to discuss and ask questions about the material.
Communication Expectations
Students should communicate early if they are confused, falling behind, or experiencing issues that may affect their progress. Questions are encouraged, especially in a fast-paced summer course. Students may ask questions during class, during office hours, or through Canvas/email as directed by the instructor.
Professional communication includes using a clear subject line, identifying the course section, explaining the question or concern clearly, and allowing a reasonable time for a response.
Summary of Student Responsibilities
By remaining enrolled in this course, students are expected to:
- Attend class regularly and arrive prepared.
- Complete online work on time by Wednesday.
- Participate in class and online.
- Bring required materials, including a graphing calculator.
- Complete MyMathLab and other assignments by the deadline.
- Avoid distractions during class.
- Follow academic integrity expectations.
- Ask questions and seek help before falling behind.
This course moves quickly, but students who stay engaged, practice consistently, and communicate early will be in the best position to succeed.
| Week | Dates | Tuesday — In Person | Wednesday — Online | Thursday — In Person | Quiz / Major Assessment |
|---|---|---|---|---|---|
| Week 1 | June 1–4 | June 2: Course introduction, syllabus review, Calculus I review, and Chapter 4: Logarithmic and Exponential Functions Revisited / L’Hopital’s Rule foundation | June 3: Online lesson and practice for Chapter 4 | June 4: Complete Chapter 4 and begin Chapter 7: L’Hopital’s Rule and related applications | Chapter 4 Quiz due June 4 |
| Week 2 | June 9–11 | June 9: Complete Chapter 7 | June 10: Online practice for Chapter 7 and preparation for integration techniques | June 11: Chapter 8: Techniques of Integration — overview, basic approaches, and integration by parts | Chapter 7 Quiz due June 11 |
| Week 3 | June 16–18 | June 16: Continue Chapter 8 — trigonometric integrals and trigonometric substitution | June 17: Online lesson for Chapter 8 — partial fractions and integration strategy practice | June 18: Complete Chapter 8 — numerical integration and improper integrals | Chapter 8 Quiz due June 18 |
| Week 4 | June 23–25 | June 23: Chapter 10: Sequences and Infinite Series — sequences, series, divergence test, and integral test | June 24: Online midterm review and Chapter 10 practice | June 25: Midterm Exam covering Chapters 4, 7, 8, and introductory Chapter 10 concepts | Midterm Exam June 25 |
| Week 5 | June 30–July 2 | June 30: Continue Chapter 10 — comparison tests and alternating series | July 1: Online lesson for Chapter 10 — ratio/root tests and choosing a convergence test | July 2: Complete Chapter 10 — approximating functions with polynomials, power series, and Taylor series | Chapter 10 Quiz due July 2 |
| Week 6 | July 7–9 | July 7: Chapter 11: Further Applications / Analytic Geometry Connections — functions, curves, and related calculus applications | July 8: Online practice for Chapter 11 | July 9: Complete Chapter 11 and review chapter-level applications | Chapter 11 Quiz due July 9 |
| Week 7 | July 14–16 | July 14: Chapter 13: Vectors — vectors in the plane and vectors in three dimensions | July 15: Online lesson for Chapter 13 — dot products and applications | July 16: Complete Chapter 13 — cross products and final application problems | Chapter 13 Quiz due July 16 |
| Week 8 | July 21–23 | July 21: Final exam review: integration, L’Hopital’s Rule, improper integrals, series, Taylor series, and vectors | July 22: Online final review and practice problems | July 23: Comprehensive Final Exam | Final Exam July 23 |
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.