COLLIN COLLEGE
COURSE SYLLABUS
Course Number: MATH 2413
Course Title: Calculus I
Course Description: Limits and continuity; the Fundamental Theorem of Calculus; definition of the derivative of a function and techniques of differentiation; applications of the derivative to maximizing or minimizing a function; the chain rule, mean value theorem, and rate of change problems; curve sketching; definite and indefinite integration of algebraic, trigonometric, and transcendental functions, with an application to calculation of areas. Graphing calculator required. Lab required.
Course Credit Hours: 4
Lecture Hours: 3
Lab Hours: 3
Prerequisite: MATH 2412; or equivalent
Student Learning Outcomes:
State-Mandated Outcomes: Upon successful completion of this course, students should be able to do the following:
1. Develop solutions for tangent and area problems using the concepts of limits, derivatives, and integrals. (Empirical/Quantitative Skills, Critical Thinking)
2. Draw graphs of algebraic and transcendental functions considering limits, continuity, and differentiability at a point. (Communication Skills, Critical Thinking, Empirical/Quantitative Skills)
3. Determine whether a function is continuous and/or differentiable at a point using limits
4. Use differentiation rules to differentiate algebraic and transcendental functions. (Empirical/Quantitative Skills, Critical Thinking)
5. Identify appropriate calculus concepts and techniques to provide mathematical models of real-world situations and determine solutions to applied problems (Critical Thinking and Communication Skills, Empirical/Quantitative Skills)
6. Evaluate definite integrals using the Fundamental Theorem of Calculus. (Empirical/Quantitative Skills)
7. Articulate the relationship between derivatives and integrals using the Fundamental Theorem of Calculus (Critical Thinking, Communication Skills, Empirical/Quantitative Skills)
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: P03
Meeting Times: TTh 10:00 - 12:45 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, 4 in-class Exams, and the Comprehensive Final as follows:
METHOD OF EVALUATION |
|
Enhanced WebAssign Assignments | 100 points |
Labs | 100 points |
4 Exams | 400 points |
Comprehensive Final | 100 points |
TOTAL |
700 points |
Note: An “I” will only be assigned in extreme, well-substantiated circumstances, passing grades only. |
GRADING SCALE |
|
A | 630 to 700 + (90%) |
B | 560 to 629.99 (80%) |
C | 490 to 559.99 (70%) |
D | 420 to 489.99 (60%) |
F | 419.99 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 four 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 2413-Calculus I-Section P03 (Fall 2016):
DAY | FALL LECTURE SCHEDULE FOR CALCULUS I | EXAMS | LABS | NOTES |
T 8-23 | Introduction Enhanced WebAssign Accounts Mathematica |
PASS diagnostic | ||
R 8-25 | 2.1 The Tangent and Velocity Problems | |||
T 8-30 | 2.2 The Limit of a Function 2.3 Calculating Limits Using Limit Laws |
|||
R 9-1 | 2.4 Precise Definition of a Limit | Census Date 9-6 | ||
T 9-6 | 2.5 Continuity 2.6 Limits at Infinity |
|||
R 9-8 | 2.7 Derivative and Rate of Change | |||
T 9-13 | 2.8 The Derivative as a Function | Lab 1 due | ||
R 9-15 | Exam 1 | |||
T 9-20 | 3.1 Derivatives of Polynomials and Exponential
Functions 3.2 The Product and Quotient Rules |
|||
R 9-22 | 3.3 Derivatives of Trigonometric Functions | |||
T 9-27 | 3.4 Chain Rule 3.5 Implicit Differentiation |
|||
R 9-29 | 3.6 Derivatives of Logarithmic Functions | |||
T 10-4 | 3.7 Rates of Change in the Natural and Social
Sciences 3.8 Exponential Growth and Decay |
|||
R 10-6 | 3.9 Related Rates | |||
T 10-11 | 3.10 Linear Approximations and Differentials 3.11 Hyperbolic Functions |
Lab 2 due | ||
R 10-13 | Exam 2 | Last W 10-14 | ||
T 10-18 | 4.4 Indeterminate Forms and L'Hospital's Rule | |||
R 10-20 | 4.1 Maximum and Minimum Values 4.2 The Mean Value Theorem |
|||
T 10-25 | 4.3 How Derivatives Affect the Shape of a Graph 4.5 Curve Sketching |
|||
R 10-27 | 4.7 Optimization Problems | |||
T 11-1 |
4.8 Newton's Method 4.9 Antiderivatives |
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R 11-3 | Checkpoint | Lab 3 due | ||
T 11-8 | Exam 3 | |||
R 11-10 | 5.1 Areas and Distances 5.2 The Definite Integral 5.3 The Fundamental Theorem of Calculus |
|||
T 11-15 | 5.4 Indefinite Integral and the Net Change Theorem 5.5 The Substitution Rule |
|||
R 11-17 | Checkpoint | |||
T 11-22 | Review | Lab 4 due | ||
R 11-24 | THANKS | |||
T 11-29 | Exam 4 | |||
R 12-1 | Final Review | |||
T12-6 | FINAL EXAM | 10:00 a.m. - 12:00 p.m. |