COLLIN COLLEGE
COURSE SYLLABUS
Course Number: MATH 2414
Course Title: Calculus II
Course Description: Differentiation and integration of transcendental functions; parametric equations and polar coordinates; techniques of integration; sequences and series; improper integrals. Lab included
Course Credit Hours: 4
Lecture Hours: 3
Lab Hours: 3
Prerequisite: MATH 2413
Student Learning Outcomes:
State-Mandate Outcomes: Upon completion of this course, students will:
1. Use the concepts of definite integrals to solve problems involving area, volume, work, and other physical applications. (Critical Thinking and Communication)
2. Use substitution, integration by parts, trigonometric substitution, partial fractions, and tables of anti-derivatives to evaluate definite and indefinite integrals.
3. Define an improper integral. (Communication)
4. Apply the concepts of limits, convergence, and divergence to evaluate some classes of improper integrals.
5. Determine convergence or divergence of sequences and series. (Critical Thinking)
6. Use Taylor and Maclaurin series to represent functions.
7. Use Taylor or Maclaurin series to integrate functions not integrable by conventional methods.
8. Use the concept of polar coordinates to find areas, lengths of curves, and representations of conic sections.
Additional Collin Outcome:
9. Approximate definite integrals using the Trapezoidal, Midpoint, and Simpson’s Rules. (Empirical/Quantitative)
For specific course content, please go to: http://www.collin.edu/math/math_syllabi.htm
Withdrawal Policy: See the current Collin Registration Guide for last day to withdraw. (Also listed below in Tentative Calendar)
Collin College Academic Policies: See the current Collin Student Handbook.
Americans with Disabilities Act Statement: Collin College will adhere to all applicable federal, state and local laws, regulations and guidelines with respect to providing reasonable accommodations as required to afford equal educational opportunity. It is the student’s responsibility to contact the ACCESS office, SCC-D140 or 972.881.5898 (V/TTD: 972.881.5950) to arrange for appropriate accommodations. See the current Collin Student Handbook for additional information.
Instructor’s Name: Martha Morrow Chalhoub
Office Number: LH-123 inside suite LH-117
| Office Hours: |
T Th T Th |
7:00 - 8:50 a.m.
9:00 - 9:50 a.m. |
LH-123 MATH LAB (F-148) |
Phone Number: 972-377-1544 (checked morning M-F)
Email: mchalhoub@collin.edu
Website: http://iws.collin.edu/mchalhoub
Class Information:
Section Number: P02
Meeting Times: TTH 1:00 - 3:45 p.m.
Meeting Location: LH-140
Course Resources: Enhanced WebAssign Access Code for online assignments and textbook Calculus: Early Transcendentals, 8th edition, Stewart, 2015, Brooks/Cole CENGAGE Learning
Supplies: TI graphing calculator (83 or 84). The TI-Nspire calculator is only allowed with the TI-84 faceplate. You may not use a TI-89/TI-92 calculator in this class.
Attendance Policy: Attendance is expected of all students at every scheduled class meeting. If you are unable to attend class, it is your responsibility to obtain missed material/notes. You are expected to come to class prepared with your book, calculator, and completed homework assignments. Disruptive or disrespectful behavior of any kind will not be tolerated. If you cannot participate positively in class, you will be asked to leave. If you arrive to class late, please be discreet.
Academic Dishonesty: If a student is found responsible for academic dishonesty, a penalty ranging from a 0 on an assignment to an F in the course will be assigned based on the instructor’s interpretation of the severity of the situation.
Method of Evaluation: The grade you earn in this course will be determined by the points you earn in your Enhanced WebAssign Assignments, written Labs, 5 in-class Exams, and the Comprehensive Final as follows:
|
METHOD OF EVALUATION |
|
| Enhanced WebAssign Assignments | 100 points |
| Labs | 100 points |
| 5 Exams | 500 points |
| Comprehensive Final | 100 points |
|
TOTAL |
800 points |
| Note: An “I” will only be assigned in extreme, well-substantiated circumstances, passing grades only. | |
|
GRADING SCALE |
|
| A | 720 to 800 + (90%) |
| B | 640 to 719.99 (80%) |
| C | 560 to 639.99 (70%) |
| D | 480 to 559.99 (60%) |
| F | 479.99 and below |
Assignments: There will be an Enhanced WebAssign assignment for every section covered in class. Your class key will be available on the first week of class. You will be responsible to register for this online service. Assignments are due the Monday after the lecture. No late assignments will be received. Your grade will automatically be recorded in my grade book. Please refer to the separate Enhanced WebAssign instructions for creating an account.
You will be responsible for most odd-numbered problems from each section covered in class. Although these problems will not be collected, your success in this course greatly depends on this practice. Furthermore, in preparation for each lecture please read ahead the sections covered that day. Leave the classroom with answers, not questions.
Labs: We will also be working on handwritten and Mathematica Labs in class to be turned in for a lab grade.
Examinations: There will be five exams and a comprehensive final (2 hours). Please write ALL your work on the exam in an orderly fashion. Questions will be very similar to those found in the assignments. All exams will be taken in the classroom. If you know ahead of time that you will have to miss a test, you can plan to take it early. Talk to me in person and e-mail me with the details. Extreme well-documented emergencies will be taken into consideration on an individual basis.
Technology Use in the Classroom:
The use of a cell phone, Bluetooth, and/or laptop is PROHIBITED during class. Cell phones must be turned off or put on silent (not vibrate) during class. If your cell phone continually rings during class, it will be considered disruptive behavior resulting in disciplinary action through the Dean of Students office. Other electronic devices are prohibited without prior approval of the instructor.
Tutoring Services: All students are expected to study daily for this course. The material you learn today, will be used tomorrow. If you find that you need extra help, please:
Come by my
office during office hours and I will help you. If your schedule will not
allow you to come to my office house, see me and we can schedule an
appointment for another time.
Take
advantage of the
Math Lab. It is a free tutoring center for math students enrolled at
Collin. There are math labs on all three campuses. The PRC math lab is
located in room F-148. Call 972-377-1639 for hours.
Fill out a
tutor request form at the ACCESS office in F-124 (PRC). The ACCESS
office provides each student with FREE group
tutoring or FREE on-line tutoring. Please contact Amy
Myrick at
972-881-5950.
Form a study
group with a few classmates. The best way to learn is to teach.
If you need help with math or test anxiety, study skills, time management, stress, depression, loss/grief, etc. please contact Counseling at http://www.collin.edu/studentresources/counseling/index.html
Tentative
schedule for MATH 2414-Calculus II-Section P02
(Fall 2016):
|
Day |
FALL LECTURE SCHEDULE FOR CALCULUS II |
EXAMS |
LABS |
NOTES |
| T 8-23 |
Introduction Review 6.1 Areas between Curves |
|
|
|
| R 8-25 |
6.2 Volumes 6.3 Volumes with Cylindrical Shells |
|||
| T 8-30 |
6.4 Work 6.5 Average Value of a Function |
|||
| R 9-1 | Lab 1/Review | Lab 1 due | Census date 9-6 | |
| T 9-6 | Exam 1 | |||
| R 9-8 |
7.1 Integration by Parts 7.2 Trigonometric Integrals |
|||
| T 9-13 |
7.3 Trigonometric Substitution 7.4 Integration of Rational Functions by Partial Fractions |
|||
| R 9-15 |
7.5 Strategy for Integration 7.6 Integration Using Tables and Computer Algebra Systems 7.7 Approximate Integration |
|||
| T 9-20 | 7.8 Improper Integrals | |||
| R 9-22 | Lab 2/Review | Lab 2 due | ||
| T 9-27 | Exam 2 | |||
| R 9-29 |
8.1 Arc Length 8.2 Area of a Surface of Revolution |
|||
| T 10-4 |
8.3 Applications to Physics and Engineering 9.1 Modeling with Differential Equations |
|||
| R 10-6 |
9.2 Direction Fields and Euler's Method 9.3 Separable Functions |
|||
| T 10-11 |
9.4 Models for Population Growth 9.5 Linear Equations |
|||
| R 10-13 | Lab 3/Review | Lab 3 due | Last W 10-14 | |
| T 10-18 | Exam 3 | |||
| R 10-20 |
10.1 Curves Defined by Parametric Equations 10.2 Calculus with Parametric Curves 10.3 Polar Coordinates |
|||
| T 10-25 |
10.4 Areas and Lengths in Polar Coordinates 11.1 Sequences |
|||
| R 10-27 |
11.2 Series 11.3 The Integral Test and Estimates of Sums |
|||
| T 11-1 |
11.4 The Comparison Tests 11.5 Alternating Series 11.6 Absolute Convergence and the Ratio and Root Tests |
|||
| R 11-3 | Lab 4/Review | Lab 4 due | ||
| T 11-8 | Exam 4 | |||
| R 11-10 |
11.7 Strategy for Testing Series 11.8 Power Series 11.9 Representations of Functions as Power Series |
|||
| T 11-15 |
11.10 Taylor and Maclaurin Series 11.11 Applications of Taylor Polynomials |
|||
| R 11-17 | Checkpoint | |||
| T 11-22 | Lab 5/Review | Lab 5 due | ||
| R 11-24 | THANKS | |||
| T 11-29 | Exam 5 | |||
| R 12-1 |
Final Review |
|
|
|
|
T 12-6 |
FINAL EXAM |
|
|
1:00 - 3:00 p.m. |
I reserve the
right to alter this syllabus at any time during the semester upon previous
notice to students.