12-1 MWThF
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. IAI: MTH 902 Mathematics. IAI: M1 900-2.
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
This course is needed for many STEM majors and is a continuation of calculus topics begun in Math 2515 Calculus I. This course is also IAI, which means that it is able to be transferred to many other colleges and universities.
Faculty Contact Information
10-12 MWF
Email is the best way to get hold of me: aharwood@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
Textbook - Calculus Early Transcendentals 3rd Edition by Briggs, Cochran, Gillet
Calculator · A graphing calculator is required for this course. We will be using the TI-84+ in lecture, but any graphing calculator is appropriate (83,86,89,Nspire) The library has TI-84 + color available for borrowing for the semester for free
MyMathLab - This access code has already been incorporated into your tuition.
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 be due on the same day as the exam 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
There will be 20 point quizzes during this semester, typically one per week when there are no exams. The lowest quiz grade will be dropped. There are no quiz makeups or re-dos.
Exams
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 re-dos, but you can make up one missed exam if you let your professor know about your absence before the exam starts. The makeup exam will be taken in the testing center D218 and will need to be done before the exams will be returned to the class.
Final Exam
There will be a comprehensive final exam given the 17th 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.
Integrity and Respect for everyone involved in the course is expected. If you have any questions about expectations, please let your professor know.
Week 1 | Vectors 13.1, 13.2 |
2 | 13.3, 13.4, Exam Chapter 13 |
3 | 2515 Review, 4.7 L'Hopital's Rule |
4 | 7.3, Hyperbolic Functions, 8.1 Methods of Integration |
5 | 8.2, 8.3 Methods of Integration |
6 | 8.4, 8.5 Methods of Integration |
7 | 8.7, 8.8 Methods of Integration |
8 | Exam 8.1-8.8 8.9, 10.1 Sequences and Series |
9 | 10.1, 10.2 Sequences and Series |
10 | 10.3 Sequences and Series |
11 | 10.3 Sequences and Series |
12 | 10.5, 10.6 Sequences and Series |
13 | 10.7 Chapter 10 Exam |
14 | 11.1, 11.2 Taylor Polynomials |
15 | 11.3, 11.4 Taylor Polynomials |
16 | Chapter 11 Exam Review |
17 | Final Exam |
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.