Calculus I

MATH 221 : Fall 2023

Department of Mathematics - SUNY Geneseo

Course Description

Topics studied are limits and continuity; derivatives and antiderivatives of the algebraic, exponential, logarithmic, trigonometric, and inverse functions; the definite integral; and the fundamental theorem of the calculus.

Instructor

Cesar Aguilar, South Hall 325A

Office Hours

Tue 8:30-9:30, 10:45-11:45
Thu 10:45-11:45

Class Meetings

MW 8:00-9:15, F 8:30-9:20, Welles 121

Online Homework

Webwork login

Final Exam

Wednesday, December 13, 8:00-11:00, Welles 121

Textbook and Resources

OpenStax Calculus Vol. 1
Sections in the Schedule refer to sections in this book

Desmos Calculator

Latest

The current week content will be displayed here during the semester. For now, see the Schedule tab.

Homework

All homework assignments will be posted on Webwork.

Schedule

Week 1  Aug 28 - Sep 01
Trig, Exp/Log, Inverse Trig Review
Topics: Trig, Exp/Log, Inverse Trig Review
What to Read: 1.3-1.5
Practice Problems
  • Section 1.4: 189-194, 199-215, 216-220
  • Section 1.5: 233-240, 264-269, 270-291, 299-309
Aug 28 First day of classes
Week 2  Sep 04 - Sep 08
Tangent Problem, Limits
Topics: Tangent Problem, Limits
What to Read: 2.1, 2.2
Sep 04 Labor Day: No Classes
Week 3  Sep 11 - Sep 15
Limit Laws, Continuity
Topics: Limit Laws, Continuity
What to Read: 2.3, 2.4
Week 4  Sep 18 - Sep 22
Limits Involving Infinity, The Derivative
Topics: Limits Involving Infinity, The Derivative
What to Read: 4.6, 3.1
NEXT WEEK Test 1 on Sep 27, 8:00 AM – 9:15 AM
Week 5  Sep 25 - Sep 29
Derivative as a Function, Power Rule
Topics: Derivative as a Function, Power Rule
What to Read: 3.2, 3.3
TEST 1 Sep 27, 8:00 AM – 9:15 AM
Week 6  Oct 02 - Oct 06
Product & Quotient Rules
Topics: Product & Quotient Rules
What to Read: 3.3
Week 7  Oct 09 - Oct 13
Derivatives of Exp & Trig Functions, Chain Rule
Topics: Derivatives of Exp & Trig Functions, Chain Rule
What to Read: 3.5, 3.9, 3.6
Oct 09-10 Fall Break: No Classes
Week 8  Oct 16 - Oct 20
Chain Rule, Rates of Change, Implicit Differentiation
Topics: Chain Rule, Rates of Change, Implicit Differentiation
What to Read: 3.6, 3.4, 3.8
Week 9  Oct 23 - Oct 27
Derivatives of Inverse Trig & Log Functions, Related Rates
Topics: Derivatives of Inverse Trig & Log Functions, Related Rates
What to Read: 3.7, 3.9, 4.1
NEXT WEEK Test 2 on Nov 1, 8:00 AM – 9:15 AM
Week 10  Oct 30 - Nov 03
Linear Approximations, l'Hopital's Rule, Max & Min
Topics: Linear Approximations, l'Hopital's Rule, Max & Min
What to Read: 4.2, 4.8, 4.3
TEST 2 Nov 1, 8:00 AM – 9:15 AM
Week 11  Nov 06 - Nov 10
Max & Min, Derivatives and Shape of a Graph
Topics: Max & Min, Derivatives and Shape of a Graph
What to Read: 4.3, 4.5
Week 12  Nov 13 - Nov 17
Optimization, Antiderivatives and Indefinite Integrals
Topics: Optimization, Antiderivatives and Indefinite Integrals
What to Read: 4.7, 4.10
Week 13  Nov 20 - Nov 24
The Area Problem & Riemann Sums
Topics: The Area Problem & Riemann Sums
What to Read: 5.1
Nov 22-24 Thanksgiving Break: No Classes
NEXT WEEK Test 3 on Nov 29, 8:00 AM – 9:02 AM
Week 14  Nov 27 - Dec 01
Definite Integrals, FTC
Topics: Definite Integrals, FTC
What to Read: 5.2, 5.3
TEST 3 Nov 29, 8:00 AM – 9:02 AM
Week 15  Dec 04 - Dec 08
Integration Formulas, Substitution Rule
Topics: Integration Formulas, Substitution Rule
What to Read: 5.4, 5.5
Week 16  Dec 11 - Dec 15
Area Between Curves (time permitting)
Topics: Area Between Curves (time permitting)
What to Read: 5.6
Dec 11 Last day of classes

Syllabus

Learning Outcomes

Upon successful completion of MATH 221 - Calculus I, a student will be able to:

    Grading Scheme

    Below is the tentative course grading scheme. The grading scheme may change during the semester at the discretion of the instructor. Any changes to the grading scheme will be announced in class before the final exam. If homework assignments are done in groups, then a student must achieve a passing grade in all individual assessments (e.g., tests and final exam) to pass the course.

    ItemPercentage
    Homework10
    Tests60
    Final30
    GradePercentage
    A94-100
    A−90-93
    B+87-89
    B83-86
    B−80-82
    C+77-79
    C73-76
    C−70-72
    D60-69
    E< 60

    Tests and Exam

    There will be 3-4 tests scheduled evenly throughout the semester. The final exam is scheduled for Wednesday, December 13, 8:00-11:00, Welles 121. The final exam will be cumulative, that is, any topic covered in the course could be tested in the final exam. There will be no make-up for a missed test or final exam under any circumstances. If a student misses a test and can present evidence of an extenuating circumstance then the weight of the missed test will be redistributed to the final exam weight. Having the cold or flu is not an extenuating circumstance. Examples of extenuating circumstances include a medical emergency, a serious prolonged illness, or the death of a member of your immediate family.

    Homework

    We will be using the online homework system called Webwork. Each Webwork assignment will have a due date and late submissions will not be accepted by the system after the deadline. A brief tutorial on how to use Webwork will be given on the first day of class. I encourage you to collaborate with your colleagues on your assignments/labs but your final submitted work should be your own (see Academic Dishonesty statement below).

    Technology

    Calculators are not permitted during the tests or final exam. However, I encourage you to use your calculator, Maple and other math software, WolframAlpha, and other forms of technology as you study and do your assignments. Both Maple and Mathematica can be downloaded from SUNY Geneseo Software page.

    Office Hours and Math Learning Center

    I encourage you to come to my office (South Hall 325A) whenever you are having trouble with any part of the course material, seeking academic advice, or you just want to chat about mathematics in general. If you want to meet with me outside of my office hours, you will need to make an appointment, preferably via email. I also encourage you to visit the Math Learning Center located in South Hall 332 where you can receive free tutoring on a walk-in basis by highly qualified upper level students. Access to in-person office hours and to the MLC will depend on social distancing guidelines set by the College.

    Email Communication

    I will do my best to reply to student email regarding the logistics of the course within 24 hours during the working week (Mon-Fri). However, due to the potential large volume of emails, inquiries regarding homework problems and/or specific course content should be made during office hours or after class.

    Academic Dishonesty and Plagiarism

    Please read, and follow, Geneseo's Academic Dishonesty and Plagiarism policy. Below is the definition of plagiarism and its consequences as described in SUNY Geneseo's Academic Dishonesty and Plagiarism statement:

    Plagiarism is the representation of someone else's words or ideas as one's own, or the arrangement of someone else's material(s) as one's own. Such misrepresentation may be sufficient grounds for a student's receiving a grade of E for the paper or presentation involved or may result in an E being assigned as the final grade for the course.

    If there is sufficient evidence of academic dishonesty on a homework assignment, all students involved will receive a zero score on the homework assignment and I will provide the department chairperson, the dean of academic planning and advising, and the student(s) with a written report of the violation, the penalty imposed and the counseling provided to the students involved. A second instance of academic dishonesty on a homework assignment will result in a final grade of E for the course for all students involved. Academic dishonesty on a test/final exam will result in a final grade of E for the course.

    Academic Accommodations

    SUNY Geneseo is dedicated to providing an equitable and inclusive educational experience for all students. The Office of Accessibility (OAS) will coordinate reasonable accommodations for persons with disabilities to ensure equal access to academic programs, activities, and services at Geneseo.

    Students with approved accommodations may submit a semester request to renew their academic accommodations. Please visit the OAS website for information on the process for requesting academic accommodations.

    Questions? Contact the OAS by email, phone, or in-person:

    Office of Accessibility Services
    Erwin Hall 22
    585-245-5112
    access@geneseo.edu